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3 years ago

Which expression is equivalent to 2/7y(k-7) ? Assume k does not equal 0

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer:

hello :

2/7y(k-7) = 2/ (7yk-49y)

the expression is equivalent to 2/7y(k-7) is : 2/ (7yk-49y)

valus of k does not equal 0 is : k=7

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6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. W

Sergeu [11.5K]

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

$C = 42$

$L= 126$

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

$42 = 2^1 * 3^1 * 7^1$

$126 = 2^1 * 3^2 * 7^1$

Hence, the GCF is

$GCF = 2^1 * 3^1 * 7^1$

$GCF = 42$

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

$Treats = \frac{C}{GCF}$

$Treats = \frac{42}{42}$

$Treats = 1$

For L:

$Treats = \frac{L}{GCF}$

$Treats = \frac{126}{42}$

$Treats = 3$

Hence, 1 candy bar and 3 lollipops

8 0

2 years ago

Which is the graph for f(x)=3 tothepowerof x? Pls just say the letter, no pictures. I can't see them. For 20 points.

Dafna1 [17]

The answer is D. Trust me

4 0

3 years ago

3. If mZEFH = (5x + 1), mZHFG = 62°, and mZEFG = (18x + 11), find each measure.

arsen [322]

Answer/Step-by-step explanation:

Given:

m<EFH = (5x + 1)°

m<HFG = 62°

m<EFG = (18x + 11)°

Required:

1. Value of x

2. m<EFH

3. m<EFG

SOLUTION:

1. Value of x

m<EFH + m<HFG = m<EFG (angle addition postulate)

(5x + 1) + 62 = (18x + 11)

Solve for x using this equation

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

Subtract 18x from both sides

5x + 63 - 18x = 18x + 11 - 18x

-13x + 63 = 11

Subtract 63 from both sides

-13x + 63 - 63 = 11 - 63

-13x = -52

Divide both sides by -13

-13x/-13 = -52/-13

x = 4

2. m<EFH = 5x + 1

Plug in the value of x

m<EFH = 5(4) + 1 = 20 + 1 = 21°

3. m<EFG = 18x + 11

m<EFG = 18(4) + 11 = 72 + 11 = 83°

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3 years ago

Without a calculator, order the following expressions from least to greatest. 9, pie squared, 3 times pie??

Elden [556K]

We have 9, 9.86, 9.42
So in order from least to greatest it would be: 9, 3 times pi, pi squared

5 0

2 years ago

Please hurry!! I have less than 5 min!! What is the area of this composite shape?

vladimir2022 [97]

Area of the composite shape = 292 yd²

Solution:

The shape is splitted into two rectangles.

The reference image of the answer is attached below.

Length of the top rectangle = 21 yd

Width of the top rectangle = 29 yd – 22 yd = 7 yd

Length of the side rectangle = 29 yd

Width of the side rectangle = 26 yd – 21 yd = 5 yd

Area of the figure = Area of the top rectangle + Area of the side rectangle

= (length × width) + (length × width)

= (21 × 7) + (29 × 5)

= 147 + 145

= 292

Area of the composite shape = 292 yd²

3 0

3 years ago