Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.

Answer:

[tex] = { \tt{50 - 2(32 + 1)}}[/tex]

Solve the bracket:

[tex] = { \tt{50 - 2(33)}}[/tex]

Open the bracket:

[tex]{ \tt{ = 50 - 66}}[/tex]

Subtract the expression:

[tex]{ \bf{ = - 16}}[/tex]

Step-by-step explanation:

Multiply 2 by 32 and 1

50-64-2

-14-2

-16 Answer

Answer:

A. 4x² + 9x/4 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/4 - 3

g(x) = 4x² + 2x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer: 1.5f + 2.25c = 40

Step-by-step explanation:

You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

Answer:

Step-by-step explanation:

Cube with side 2 has volume:

Cube with side 6 has volume:

Number of cubes:

Answer:

sum of three positive integer=57

Step-by-step explanation:

let x,y,z be three positive no.

given :-

xyz=7³

xyz=343

xyz=1×7×49

x+y+z=(1+7+49)

sum=57

Answer:

343

Step-by-step explanation:

7^3

change 7^3 to a natural number or enter 7^3 on a calculator

7×7×7

=343

factors of 343=1,7,49,343

1×7×49=343

1+7+49=57

Answer:

  x,y = -4, -15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= 5x³( x + 1) ← distribute parenthesis

= 5[tex]x^{4}[/tex] + 5x³ → D

D. 11520m

Answer:

Solution given:

initial velocity[u]=480m/s

g=10m/s²

maximum height=?

now

we have

maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]

where

[tex]\theta=90°[/tex]

=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]

Answer:

520

Step-by-step explanation:

100% - 15% = 85%

85% of the original price is  442 dollars

100% = x

solve for x:

x * 0.85 = 442

x= 520 dollars

regular price is 520 dollars.

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

Answer:

its 2•8

u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28

so 28/10= 2•8

Answer:

mean=sum of all the data number of the data

= 2+3+4+5+0+1+3+3+4+3/10

= 28/10

= 2.8

I hope this helps

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

Answer:

−10−1(−2)^3−1(−2)(−11)

● −10−1(−8)−1(−2)(−11)

●−10+8−1(−2)(−11)

●−10+8−22

●−10+8−22

☆Answer:-24

○●○●○●○●○●○

Hope it helps

Have a great day!!

Answer:

5 years

Step-by-step explanation:

(x+15)=4x

15=4x-x

15=3x

5=x

Answer:

y = 7x and y = 28

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 56 when x = 8 , then

56 = 8k ( divide both sides by 8 )

7 = k

y = 7x ← equation of variation

When x = 4

y = 7 × 4 = 28

Answer:

The short pieces are 10  cm each and the long pieces are 15 cm each.

Step-by-step explanation:

We cut a 60cm rope into 5 pieces. There are 3 short pieces that measure the same and the other 2 pieces are 5cm longer than the short ones. How long are the pieces?

let the length of the short pieces is p.

Length of longer pieces = p + 5

So,

60 = 3 p + 2 (p+ 5)

60 = 3 p + 2p + 10

5 p =  50

p = 10 cm

So, the short pieces are 10  cm each and the long pieces are 15 cm each.

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

Answer:

-2.179

Step-by-step explanation:

Given :

Degree of freedom, df = 12

Area to the left = 0.025

The value of T can be obtained using either a t distribution table or a T value calculator :

t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788

Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Total waste = 22 000 in^3

If we use a proportion we have:

x : 100 = 2000 : 22 000

x = 200 000 / 22 000 = 9,09 % (option a is wrong

x : 100 = 7000 : 22 000

x = 700 000 / 22 000 = 31 % (ok)

Answer:5/4

Step-by-step explanation: i think this is the answer

Answer:

The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9

Step-by-step explanation:

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(1/3) r2 =(1/3) r +14

1/6 divided by 83 r + 14

97r

i think...

I hope this helps you!

XoXo Mashayla

Step-by-step explanation:

Answer:

[tex] \displaystyle 4320 {x }^{3} [/tex]

Step-by-step explanation:

to solve binomials like this there's a way called binomial theorem given by

[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

but for this question we need the following part

[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]

from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient x³ k should be (5-3) = 2 so we have determined the variables now just substitute

[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]

simplify which yields:

[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]

and we are done!