hint: 180 *
1. Find the missing angle.
29
R
61
T

Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.

The equation to represent the first customer is 4x + 10y = 32

The equation to represent the 2nd customer is 12x + 5y = 21

Solving the equations will be:

4x + 10y = 32 ...... i

12x + 5y = 21 ......ii

Multiply equation i by 12

Multiply equation ii by 4

48x + 120y = 384

48x + 20y = 84

100y = 380

y = 380/100 = 3.8

Therefore, we'll find the value for x which will be:

4x + 10y = 32

4x + 10(3.8) = 32

4x = 32 - 38

4x = -6

x = -1.5

Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.

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Answer:

Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

t ≤ 6

Step-by-step explanation:

8t - 4 ≤ 44

I hope this helps!

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

Answer: The graph I have attached an image of does not represent a function.

Step-by-step explanation:

This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt

a function.

Answer:

The correct answer goes from the 1st quadrant to the 4th quadrant.

Step-by-step explanation:

~Hope this helps!

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

Answer:

Please double check the question

y = 2√2 is not on the unit circle

The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,

A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]

[tex]1^2=\dfrac{2}{4}+y^2[/tex]

[tex]1-\dfrac{1}{2}=y^2[/tex]

[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

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Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

This question is basically asking for the area of the tablecloth. Remember that A = l • w.

12 • 7 = 84

So, Henry will need to buy 84 ft^2 of fabric.

The probability that someone who does not study calculus studies physics is 0.5

Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.

Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.

Given that the number of students who study physics are 600, we have

x + y = 600  (1)

Also, given that the number of students who study calculus are 300, we have

x + z = 300  (2)

From (1)

y = 600 - x

y = 600 - 100

y = 500

So, the probability of students that study only physics = probability that someone who does not study calculus studies physics  is

P(physics) = number of students studying only physics/total number of students

= 500/1000

= 5/10

= 0.5

So, probability that someone who does not study calculus studies physics is 0.5

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Answer:

-3x^3 + 9x^2 + 7x + 20

Step-by-step explanation:

this is the expression simplified

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

Answer:

San Francisco

Step-by-step explanation:

The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York

Answer:

20.5

Step-by-step explanation:

Given that shapes are similar:

45 = 2x + 4 subtract 4 from both sides

41 = 2x divide both sides by 2

20.5 = x

Answer:

x is 3

Step-by-step explanation:

-2x is -6

2x is 6

x is 3

Answer:

X=3

Step-by-step explanation:

-4(3)=-12

-12-5=-17

2(3)=6

-17+6=-11

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]

[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]

[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]

[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]

[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]

[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]

[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]

[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]

[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

m∠R=76°

Step-by-step explanation:

∠STR=∠RST=(2x+2)° (base angles of isos triangle)

2(2x+2)+(3x+1)=180 (angle sum of triangle)

      4x+4+3x+1=180

               7x+5=180

                    7x=180-5

                        =175

                      x=175÷7

                        =25

Hence, m∠R = (3x+1)°

                     = [3(25)+1]°

                     = (75+1)°

                     = 76°

Answer:

m∠R=76º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(2x+2)+(3x+1)+(2x+2)=180

Remove parentheses.

2x+2+3x+1+2x+2=180

Collect like terms.

7x+2+1+2=180

Add.

7x+5=180

Subtract 5 from both sides of the equation.

7x=175

Divide 7 from both sides of the equation.

x=25

m∠R=(3x+1)º

3x25+1=76º

m∠R=76º

Hope this helps :)

Answer:

Step-by-step explanation:

A = πr²/2 = 3.142(11²)/2 = 190.091 cm²

1000

This is the answer

Step-by-step explanation:

Because it has 0 at the last

and 0 is divisible by 2

The only number that is a multiple of 2 among the given options is B. 1000.

To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.

Let's examine each option:

A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.

B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.

C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.

D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.

Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.

Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.

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Answer:

1213.75

Step-by-step explanation:

you turn the percent int a decimal, and then multiply it by 4855. then the answer you get (3641.25) you subract 4855 by it to get the answer

Answer:

  B)  102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means ...

  BE = ED

  3 -9x = -8x +14

  -11 = x . . . . . . . . . . . . add 9x -14

  BE = 3 -9x = 3 -9(-11) = 3 +99

  BE = 102 units

Answer:

Enlargement (aka: Dilation)

Step-by-step explanation:

As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.

Answer:

dilation by a scale factor by 3 about (1, 0)

Step-by-step explanation:

it is dilation by a scale factor of 3

see the below picture to find the center of dilation formula

(2, 1)  (4, 3) points of transformation

center = (3*2 - 4 / 3 - 1,  3*1 - 3 / 3 - 1)

= ( 6 - 4 / 2,  0)

= (1, 0)

so single transformation is  dilation by a scale factor by 3 about (1, 0)

Answer:

10m^3-15m^2

Step-by-step explanation:

Answer:

cy+d to the middle of the problem

Answer:

e

Step-by-step explanation:

e

300 divided by 72 equals (300 divided by 7) + (300 divided by 2) = 2,100 + 600 = 2,700

Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.

Thanks ☺️

Hope it helps you.

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

The value of each expression is given below,

B(6)=85

B(2.75)=52.5

B(1.482)=39.82

Value of x for each expression,

B(x)=93; x=6.8

B(x)=42.1; x=1.7

B(x)=116.25; x=9.125

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is B(x)=10x+25.

The value of each expression will b calculated as,

10(6) + 25 = 60 + 25 = 85

10(2.75) + 25 = 27.5 + 25 = 52.5

10(1.482) + 25 = 14.82 + 25 = 39.82

93 = 10x + 25 || 68 = 10x || x = 6.8

42.1 = 10x + 25 || 17.1 = 10x || x = 1.71

116.25 = 10x + 25 || 91.25 = 10x || x = 9.125

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