Mrs. Winthrop went to a store, spent half of her
money and then $ 10 more. She went to a
second store, spent half of her remaining money
and $ 10 more. But she then had no money left.
How much money did she have to begin with
when she went to the first store?

Answers

Answer 1

Answer:

Step-by-step explanation:

Ok so I go to the store

I spend X/2 - 10 and I'm left with x/2

Then I got to store 2 and spend x/2 - 10 again and now have no money left.

So

x/2-10=0

x/2=10

x=20

Before that, she had:

x/2-10=20

x/2=30

x=60

So she started out with $60

Answer 2

She has $60, to begin with when she went to the first store.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs arithmetic operations is called an arithmetic operator.

Operators let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

For example 4 + 2 = 6

Let she had x money before the second store.,

So x-x/2–10=0 => x = 20.

Let she had y money before the first store,

where x = y-y/2–10.

So y/2 = 20+10=30

⇒ y = 60

Hence, she has $60, to begin with when she went to the first store.

Learn more about Arithmetic operations here:

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Related Questions

solution for x- 4 is equal to 10​

Answers

Answer:

the answer is 14

Step-by-step explanation:

you first add both side to 4 and get x=14

Answer: x = 14

Explanation: Our only step in solving the equation is to add 4 to both sides and the reason that we can add the same quantity to both sides of an equation is based on the addition property of equality.

So the solution to this equation is x = 14.

Evaluate -3.28 - (-4.4) + (-p) where p = 9.7

Answers

Answer:

-8.58

Step-by-step explanation:

p = 9.7

=> -3.28 - (-4.4) + (-p)

=> -3.28 - (-4.4) + (- (9.7))

=> -3.28 - (-4.4) + (-9.7)

=> -3.28 - (-4.4) -9.7

=> -3.28 +4.4 -9.7

=> -12.98 +4.4

=> -8.58

Answer:

The evaluated answer for this equation is -8.58

Step-by-step explanation:

We are given a value of p so we will use this value for the equation.

-3.28 - (-4.4) + (-p)

Replace p with 9.7

-3.28 - (-4.4) + (-9.7)

Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4

1.12 + (-9.7)

Subtract 1.42 from 9.7 because there is negative sign in front of 9.7

-8.58

Solve for x and draw a number line. 3x−91>−87 AND 17x−16>18

Answers

Answer:

I hope this will help!

Step-by-step explanation:

which of the following statements must be true about this diagram ? check ALL that apply

Answers

Answer:

         Check A, B and D

Step-by-step explanation:

A. m∠4 = 180° - m∠3

   m∠1 = 180° - (m∠3 + m∠2)

  m∠3 < m∠3 + m∠2  ⇒  m∠4 >m∠1

B. m∠4 = 180° - m∠3

   m∠2 = 180° - (m∠3 + m∠1)

  m∠3 < m∠3 + m∠1  ⇒  m∠4 >m∠2

C. Not necessarily {could be but not always}

D.   m∠4 = 180° - m∠3

m∠1 + m∠2 + m∠3 = 180°  ⇒  m∠1 + m∠2 = 180° - m∠3 = m∠4

E.  m∠3 = m∠1 + m∠2  only if m∠3 = 90°

F.  Not necessarily. {Could be but also could not be. In the picture is, but we don't know if the diagram is accurate or just approximate.}

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

The following diagram shows the lines x – 2y – 4 = 0, x + y = 5 and the point P(1, 1). A line is drawn from P to intersect with x – 2y – 4 = 0 at Q, and with x + y = 5 at R, so that P is the midpoint of [QR].

Find the exact coordinates of Q and of R.

Answers

Answer:

Q(2/3, -1 2/3)R(1 1/3, 3 2/3)

Step-by-step explanation:

Let (a, b) represent the coordinates of point Q on line x -2y -4 = 0. Then we know that ...

  a -2b -4 = 0

  a -2b = 4

__

If P is the midpoint of QR, then ...

  R = 2P -Q = 2(1, 1) -(a, b) = (2 -a, 2 -b)

We know this point satisfies the equation for the other line:

  x + y = 5

  (2 -a) +(2 -b) = 5

  a + b = -1 . . . . . . . . . . . rearrange to standard form

__

To find the solution to these two equations, we can subtract the first from the second:

  (a +b) -(a -2b) = (-1) -(4)

  3b = -5

  b = -5/3

  a = -1 -1b = -1 -(-5/3) = 2/3

The point Q is (a, b) = (2/3, -5/3).

The point R is ...

  R = (2 -a, 2 -b) = (2 -2/3, 2 -(-5/3)) = (4/3, 11/3)

The exact coordinates of Q and R are ...

  Q(2/3, -5/3), R(4/3, 11/3)

_____

Comment on the GeoGebra solution

The points can be found by reflecting either line across point P. Where that reflected line intersects the other line is one of the points of interest. Of course, the other is its reflection in P. You may recognize the equation for line b' (hidden in the diagram) as matching the second equation we derived above.

this is progression
i need to know C plsssss
thankssssssssssßsssssss

Answers

Answer:

[tex]l = 28[/tex]

Step-by-step explanation:

Given

[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]

Required

What is l when S = 725

This can be solved using Sum of n terms of an AP;

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where

[tex]S_n = 725[/tex]

[tex]T_1 = first\ term[/tex]

To get T1; we substitute 4 for k in 2k - 3

[tex]T_1 = 2 * 4 - 3[/tex]

[tex]T_1 = 8 - 3[/tex]

[tex]T_1 = 5[/tex]

[tex]T_n = last\ term[/tex]

To get Tn; we substitute l for k in 2k - 3

[tex]T_n = 2 * l - 3[/tex]

[tex]T_n = 2l - 3[/tex]

n = the number of terms;

Since k = 4 to l, then

[tex]n = l - 4 +1[/tex]

[tex]n = l - 3[/tex]

Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]

Collect Like Terms

[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]

[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]

Open the bracket

[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]

[tex]725 = (l-3) * l + (l-3)[/tex]

[tex]725 = l^2-3l + l-3[/tex]

[tex]725 = l^2-2l -3[/tex]

Subtract 725 from both sides

[tex]725 - 725 = l^2-2l -3 - 725[/tex]

[tex]l^2-2l -3 - 725 = 0[/tex]

[tex]l^2-2l - 728 = 0[/tex]

[tex]l^2 + 26l - 28l - 728 = 0[/tex]

[tex]l(l + 26) - 28(l + 26) = 0[/tex]

[tex](l - 28)(l + 26) = 0[/tex]

[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]

[tex]l = 28[/tex] or [tex]l = -26[/tex]

But l must be positive;

Hence, [tex]l = 28[/tex]

Which of the following is a solution of y > |x| - 6? A(-1, -5) B(-5, 1) C(5, -1)

Answers

Answer:

B(-5, 1)

Step-by-step explanation:

We can test each value in the equation and see if the equation works out.

[tex]y > |x| - 6[/tex]

Let’s try A - (-1, -5).

[tex]-5 > |-1|-6\\\\-5 > 1-6\\-5>-5[/tex]

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

[tex]1 > |-5| -6\\1 > 5-6\\1 > -1[/tex]

1 IS greater than -1, so B works.

Let’s try C for fun.

[tex]-1 > |5| -6\\-1 > 5-6\\-1 > -1[/tex]

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!

Answer:

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

The graph below shows Roy's distance from his office (y), in miles, after a certain amount of time (x), in minutes: Graph titled Roys Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Office in miles. Lines are joined at the ordered pairs 0, 0 and 1, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 4 and 6, 4 and 7, 4.5 and 7.5, 5 and 8, 6. Four students described Roy's motion, as shown in the table below: Student Description Peter He drives a car at a constant speed for 4 minutes, then stops at a crossing for 6 minutes, and finally drives at a variable speed for the next 2 minutes. Shane He drives a car at a constant speed for 4 minutes, then stops at a crossing for 2 minutes, and finally drives at a variable speed for the next 8 minutes. Jamie He drives a car at a constant speed for 4 minutes, then stops at a crossing for 6 minutes, and finally drives at a variable speed for the next 8 minutes. Felix He drives a car at a constant speed for 4 minutes, then stops at a crossing for 2 minutes, and finally drives at a variable speed for the next 2 minutes. Which student most accurately described Roy's motion? Peter Shane Jamie Felix

Answers

Answer:

Felix

Step-by-step explanation:

The graph contains 3 segments,

first one is for the first 4minutes,

second one is for the next 2 minutes (standing still)

third one is for the last 2 minutes.

Only Felix has it right, the other students use absolute time in their statements, in stead of the difference between start and end. (e.g., from 4 to 6 is 2 minutes).

The student that most accurately described Roy's motion is Felix.

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

We need to find the student that most accurately described Roy's motion.

Here we can see that the graph contains 3 segments, first one is for the first 4 minutes, Second one is for the next 2 minutes (standing still) and the third one is for the last 2 minutes.

Now, Only Felix has it right, the other students use absolute time in their statements, in stead of the difference between start and end.

Therefore, the student that most accurately described Roy's motion is Felix.

Learn more about finding the graphed function here:

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A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2). What is a reasonable time for it to take the baseball to land on the ground?

Answers

Answer:

  7 seconds

Step-by-step explanation:

We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.

The factored form of the equation tells us ...

  h(7) = -16(7 -7)(7 +2) = 0

So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.

_____

The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.

Helppp thank you!!!!!

Answers

Answer:

D

Step-by-step explanation:

x is greater than 12:

[tex]x>12 \text{ or } 12<x[/tex]

and x is less than or equal to 3 times the value of y:

[tex]12<x\leq 3y[/tex]

We can divide everything by 3:

[tex]4<\frac{x}{3} \leq y[/tex]

Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3

Answers

Answer:

Increasing x> 3

Decreasing x< 3

Step-by-step explanation:

If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.

Doing this I find that the curve is decreasing on x< 3 and increases on x> 3

john always wears a shirt, pants, socks, and shoes. he owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. how many different outfits can john make? PLEASE ANSWER

Answers

Answer:

900 outfits

Step-by-step explanation:

You just have to multiply them all together :)

solo savings bank received an initial deposit of $6000 it kept a percentage of this money in reserve based on the reserve rate and loaned out the rest the amount it loaned out was eventually all deposited back in the bank if the cycle continued indefinitely and eventually the $6000 turned into $200000 what was the reserve rate?

Answers

Answer:

Reserve rate = 3%

Step-by-step explanation:

Reserve Ratio = Reserve Maintained with Central Bank / Deposit Liabilities × 100

Reserve maintained = $6,000

Deposit liabilities = $200,000

Reserve Rate = Reserve Maintained with Central Bank / Deposit Liabilities × 1000

=$6,000 / $200,000 × 100

=0.03 × 100

r=0.03 × 100

=3%

Therefore,

Reserve Rate =3%

Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:

A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line.

He starts with the assumption that segment DE is parallel to segment BC.

Which inequality will he use to contradict the assumption?

Answers

Answer:

That Ratios aren't equal.

Step-by-step explanation:

Given: DE is || to BC.

So in order to make this false then we have to say that the sides aren't proprtional, making it not possible to get the ratios equal.

(See the Triangle proprtionality theorem or the triangle midsegment theorem)      

Answer:

4:10 ≠ 6:14

Step-by-step explanation:

bc i said so

what is (a x b) x c, if a = 11, b = 9, and c = 1?​ PLEASE HELP!!!

Answers

Answer:99

Step-by-step explanation:(11×9)×1=99

Answer:

The answer is 99

Step-by-step explanation:

(a x b) x c

a = 11, b = 9, and c = 1

In order to solve substitute the values of a , b and c into the above expression

That's

( 11 × 9) × 1

Solve the terms in the bracket first

99 × 1

We have the final answer as

99

Hope this helps you

This rectangular wall is to be painted. Paint is sold in tins. How much does it cost to paint the wall?

Answers

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

what is the value of x ?

Answers

Answer:

35

Step-by-step explanation:

it's the same value each side

The answer is 35 degrees.

Nate is creating a PSA about building a "green” roof. Which source is most reliable for his research? a blog post written by a community gardener a .com website that advertises fertilizer a .gov or .org website about ecological roofs a book featuring photos of different styles of roof

Answers

Answer:

Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of room  because

1. It specifically talks about green roof's

2. Unlike the blog post, the .org/.gov is not attempting to sell a product that may change how the article is written.

Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms because It talks explicitly about green roofs.

What is a survey?

A survey is research done by any company or an organisation on the group of people or their activity or on any other data like their sells etc to find out the valuable information from that data.

Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms.

1. It specifically talks about green roofs

2. Unlike the blog post, the .org/.gov is not attempting to sell a product that may change how the article is written.

Therefore Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of rooms because It talks explicitly about green roofs.

To know more about surveys follow

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Help me with this please :)

Answers

Answer:

Hey there!

X+Y=0.

For example, two numbers that are equally far from the 0 on a number line are -2 and 2.

-2+2=0

Hope this helps :)

Answer:

x + y = 0

Step-by-step explanation:

Since the two values are the same distance from zero on the number line (i.e., they are equivalent in distance) and one is in the negative direction, and the other is in the positive direction, then the sum of both will be zero.

Since they are the same distance, just opposite in direction, it requires the same amount of "hops" for both values to reach zero, hence they will cancel each other out when added together.

Consider, -1 and 1.  Both are the same distance from 0; however, if you add them together (-1 + 1) you'll get the sum to be 0.

Cheers.

the square of 1/4 equal the square root of

Answers

Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

(¼)²=√x

√x=1/16

x=(1/16)²

x= 1/256

ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z = x - y.
A
B
(x+30)° (x-30)
(y+20)
D
С

Answers

Answer:

(x+30)+(x-30)=180

2x=180

x=90

x+30=y+20

90+30=y+20

y=100°

There for z = -10

-10 the top answer is correct

Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. Let p represent the computer’s original price. Which equation models this situation?

Answers

Answer:

p= 25/100 = 180/x

Step-by-step explanation:

In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.

Answer:

0.75p=p-180

Step-by-step explanation:

0.75p=p-180 is your answer

State for me GENERAL FORMULA in mathematics ​

Answers

Answer:

"General Formulas" in mathematics is the general equation you can use for certain things, by just adding the numbers given to the equation so that you can solve the problem.

Form example:

The general formula to find the y-intercept: y=mx+b

Hope this helped!

Have a nice day:)

Answer:

"General Formulas" in mathematics is the general equation you can use for certain things, by just adding the numbers given to the equation so that you can solve the problem.

Step-by-step explanation:

Help please! <3 Simplify the expression to find the correct answer. Show your work and explain how you got that answer. [tex]\frac{1}{3}\sqrt{21}-\frac{2}{3}\sqrt{3} x \sqrt{7}[/tex] A. [tex]-\frac{1}{3}\sqrt{21}[/tex] B. [tex]\frac{2}{3}\sqrt{21}[/tex] C. [tex]\frac{2}{3}\sqrt{18×7}[/tex] D. [tex]-\frac{1}{3}\sqrt{63}x\sqrt{7}[/tex]

Answers

Answer:

-1/3 sqrt(21)

Step-by-step explanation:

1/3 sqrt(21) - 2/3 sqrt(3)  * sqrt(7)

We know sqrt(a) * sqrt(b) = sqrt(ab)

1/3 sqrt(21) - 2/3 sqrt(21)

Factor out sqrt(21)

sqrt(21) (1/3-2/3)

sqrt(21) (-1/3)

-1/3 sqrt(21)

Answer: Choice A)  [tex]-\frac{1}{3}\sqrt{21}[/tex]

=====================================================

Work Shown:

I'm guessing that the x you wrote is to signify multiplication. If so, then one way to do the steps is shown in the attached image below.

In step 2, I used the rule that sqrt(x)*sqrt(y) = sqrt(x*y).

Write down inequalities,that are satisfied by these sets of integers between -10 and 10
1,2,3,4,5,6,7,8,9,10
-3,-4,-5,-6,-7,-8,-9,-10
9,10
-10

Answers

Answer:

Below

Step-by-step explanation:

Notice that x is between 10 and -10 but takes only the values that are integers.

The inequalities:

● we can write an inequality that includes all these values.

● -10 《 x 《 10

This is a possible inequality

Multiply both sides by 2 and you will get a new one:

● -20 《 2x 《 20

You can multiply it by any number to generate a new inequality.

Or you can add or substract any number.

While Mary Corens was a student at the University of Tennessee, she borrowed $14,000 in student loans at an annual interest rate of 7%. If Mary repays $1,800 per year, then how long (to the nearest year) will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.

Answers

Answer:

The number of years needed to repay the loan is 11.47 years or 11 years.

Step-by-step explanation:

The loan amount, Present value =  $14000

Annual repayment amount (annuity) = $1800

Interest rate = 7% per annum.

Now we have to find the number of years consumed to repay the loan amount. Below is the calculation.

Present value = (Annuity[1-(1+r)^-n] )/ r

14000 = (1800 × [1- (1+ 0.07 )^-n] )/ 0.07

14000 × 0.07 = 1800 × [1- (1+ 0.07 )^-n]

980 = 1800 × [1- (1+ 0.07 )^-n]

0.54 = [1- (1+ 0.07 )^-n]

n = 11.47  or 11  years.

33. Simplify:
[tex]a ^{2} \times a ^{4} [/tex]
HELP! answer if you can!!!​

Answers

Answer:

a^2 × a^4

= a^2+4

= a^6

Remember:

a^n × a^m= a^n+m

Hope it helps

if u have any question let me know in comments ^_^

Answer:

[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]

Step-by-step explanation:

Hope it helps!

I need help comrades, I will give you 5 stars and A big thank you comrades

Answers

Answer:

dicontinuity at (-4.-2)zero at (-2.0)

Step-by-step explanation:

answer c

this shoud be correct

A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)

Answers

Take a look at this pic. And, if you have any doubt, just ask!

The vertical distance through which the car rises is 16.7 m

What is right triangle?

"It is a triangle whose one of the angle is 90°."

What is sine of angle?

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]

Therefore, the vertical distance through which the car rises is 16.7 m

Learn more the sine angle here:

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i need help knowing if i did this right or not. im supposed to use spanish adjectives (as many as possible) in describing 3 people . The people are shakira , antonio banderas, letizia, la princesa de spana. what i have so far is.. Le chica es modelo. Le chica es bonita. le chica es delgado. le chica es hormosa. Le chica es joven . Le chica es pequeno. I havent done the other 2 yet b/c i didnt know if i was doing this right or not find the value of each variable and the measure of each angle Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, 2 is the only other zero, leading coefficient is 2. explain the importance of reproduction in organisms BMM Industries pays a dividend of $2 per quarter. The dividend yield on its stock is reported at 4.8%. What is the stock price? which is the right relationship of calories and physical activity according to the dietary guidelines for americans? A EATING FEWER CALORIES BALANCED MORE ACTIVITY.... The slowdown in learning new information has been linked to changes in ________, where individuals manipulate and assemble information when making decisions, solving problems, and comprehending written and spoken language. Covert the verbal expression into an algebraic expression.Two more than five times a number x. Say the marginal tax rate is 30 percent and that government expenditures do not change with output. Say also that the economy is at potential output and that the deficit is $200 billion.Required:a. What is the size of the cyclical deficit?b. What is the size of the structural deficit?c. How would your answers to a and b change if the deficit was still $200 billion but output was $200 billion below potential?d. How would your answers to a and b change if the deficit was still $200 billion but output was $100 billion above potential? If 2 x 2 + 13 x 7 = 0 , then x could equal which of the following? Attestation standards apply when a CPA is engaged to issue a practitioners report on A preparation service. The subject matter of a compilation. An examination after performing agreed-upon procedures. A review of an assertion about subject matter that is the responsibility of another party. Martine Piccirillo works as the payroll clerk for Centinix, a security company that hires many part-time and temporary workers who are paid on an hourly basis. What law governs the hiring or documenting of these workers? 4x + 5y = 19 , 5y - 4x = 38 Kate decides to issue cash dividends on both the common stock and the preferred stock. Currently there are 50 outstanding preferred shares and 500 common shares outstanding. The dividends that Kate paid were $6 per share on the preferred shares and $2 per share on the common shares. Provide the journal entry for the payment of the cash dividends. Her review of the play revealed her clever _____ when the drama critic simply stated, If you dont knit, bring a book. Brik Products, located in Atlanta, Georgia, produces two lines of electric toothbrushes, Deluxe and Standard. Because Brik can sell all the toothbrushes it produces, the owners are expanding the plant. They are deciding which product line to emphasize. To make the decision, they assemble the following data. Per Unit Deluxe Toothbrush Standard ToothbrushSales price $94 $54Variable expenses 22 16Contribtion margin $72 $36Contribution margin ratio 75.5% 70.4%Requirements:1) Identify the constraining factor for Brik products.2) Prepare an analysis to show which product line to em Helllllpppppp!I went to Starbucks and purchased three coffees and two cake pops with a total cost of $7 dollars. Then Iwent to Einstein Bagels and purchased two coffees and four cake pops for $8 dollars. What is the price for asingle coffee and single cake pop?x=cost of a single coffeey= cost of a cake pop3x+2y+72x+4y+8 Mr. Green and Mr. Blue contract orally to transfer 500 widgets for $1,000. Mr. Blue sends Mr. Green a receipt one week after the agreement. If Mr. Green now refuses to recognize the agreement a court will find what i will rate you brainliest// What is the interquartile range (IQR) of {5.8, 8.5, 9.9, -0.8, -1.3, 2.3, 7.4, -1.9}? The ages of some lectures are 42,54,50,54,50,42,46,46,48 and 48.Calculate the:(a)Mean Age.(b)Standard deviation.