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3 years ago

What is the image of (0,-4) after a dilation by a scale factor of 1/2centered at the origin?

Mathematics

1 answer:

Alika [10]3 years ago

5 0

Answer:

The image after the dilation is (0,-2)

Step-by-step explanation:

To get the image of g he dilation, what we have to do is to divide the given coordinate by 2 or simply multiply each of the given coordinates by 1/2

Mathematically, we have this as;

(0 * 1/2 , -4 * 1/2)

= (0, -2)

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Students at a bake sale sell bags of cookies for $2.35 each and bags of miniature muffins for $1.75 each. While selling their ba

inessss [21]

Answer:

Option C (The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies and m bags of muffins).

Step-by-step explanation:

It is given that a bag of cookies is priced at $2.35 and a bag of muffin is priced at $1.75. It is also given that the student sells c bags of cookies and m bags of muffins. The total revenue earned by the student by selling c bag of cookies = $2.35 * c bags = $2.35c and the total revenue earned by the student by selling m bag of muffins = $1.75 * m bags = $1.75m. Therefore, the total revenue earned by the student by selling both cookies and muffins = 2.35c + 1.75m. This expression (2.35c + 1.75m) represents the money earned from selling c bags of cookies and m bags of muffins. Therefore, C is the correct choice!!!

3 0

3 years ago

Can anyone help me on this math test real quick here is one of the questions!!

Valentin [98]

Answer:

D. 9/16

Step-by-step explanation:

3/4*3/4=9/16

6 0

3 years ago

Read 2 more answers

Copy and complete. PLEASE SOLVE IT FAST thanks

Setler79 [48]

Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

In this question, we can use the following <em>formula</em>:

$\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100$

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%$

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%$

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%$

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%$

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%$

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%$

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

6 0

4 years ago

A collection of nickels and dimes is worth $6.10. There are 67 coins in all. How many nickels are there? 12 18 49 55

joja [24]

.05n + .10d = 6.10
n + d = 67
n = 67-d

.05(67-d) + .10d = 6.10
3.35 -.05d + .10d = 6.10
3.35 + .05d = 6.10
3.35-3.35 +.05d = 6.10-3.35
0.05d = 2.75
0.05d/0.05 = 2.75/0.05
d = 55

n + d = 67
n + 55 = 67
n = 12
There are 12 nickels

Check
0.5(12) + .10(55) = $6.10
.60 + 5.50 =$6.10
$6.10 = $6.10

8 0

3 years ago

Read 2 more answers

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0

vovangra [49]

Answer:

7.92 cubic units

Step-by-step explanation:

The volume formed is V = ∫πx²dy

Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1

So, V = ∫₀¹πx²dy

= ∫₀¹π[ ∛(4y)]²dy

= π(∛4)²∫₀¹[ ∛(y]²dy

= π(∛4)²∫₀¹y^³/₂dy

= π(∛4)²[y^⁵/₂]₀¹

= π(∛4)²[1^⁵/₂ - 0^⁵/₂]

= π(∛4)²[1 - 0]

= π(∛4)²

= 7.92 cubic units

3 0

3 years ago