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kykrilka [37]
3 years ago
15

Amy and Henry shared a cash prize in the ratio 2:3. If Henry received $33, how much money did Amy receive?

Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0
\bf \cfrac{Amy}{Henry}\qquad 2:3\qquad \cfrac{2}{3}\qquad \cfrac{\stackrel{Amy}{a}}{\stackrel{Henry}{33}}=\cfrac{2}{3}\implies a=\cfrac{33\cdot 2}{3}
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use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that
Ymorist [56]

The <em>rigid</em> transformations used for each figure:

  1. Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
  2. Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

<h3>What transformation rules do create the resulting images?</h3>

In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

8 0
2 years ago
17. Scott cuts his birthday cake into nine equal pieces and eats two of them.
Roman55 [17]

Answer:

A. 0.2222

B. Repeat indefinitely

Step-by-step explanation:

A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 <em>out of </em>the 9, so we have 2 ÷ 9. (see attachment)

The decimal form is: 0.2222.

B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.

7 0
3 years ago
Caden buys 3.9 pounds of grapes that cost $1.80 per pound. Which expression can be used to find the total cost of the grapes ?
Ilya [14]

Answer:

1.80 times 3.9

Step-by-step explanation:

to find the total cost of grapes, you need to multiply 1.80 and 3.9, which is $7.02.

4 0
3 years ago
Graph the function f(x) = -42-4+ 5 on the axes below. You must plot the
valentina_108 [34]

Answer:

- attached graph

- Horizontal Asymptote: y = 5

- twon whole number points are (4,4) and (5,1)

Step-by-step explanation:

- Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote

y = -4^(x-4) + 5

  = -4^(4-4) + 5

  = -4^(0) + 5

  = -1 + 5

  = 4

y = -4^(x-4) + 5

  = -4^(5-4) + 5

  = -4^(1) + 5

  = -4 + 5

  = 1

7 0
2 years ago
What is the greatest common factor (gcf) for 26 and 78?<br>6<br><br>13<br><br>26 <br><br>3<br><br>2
saul85 [17]

For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:

26: 1,2,13,26

78: 1,2,3,6,13,26

Thus, the GCF of both numbers is 26

Answer:

26

Option C

8 0
3 years ago
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