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Mashutka [201]
3 years ago
15

PLEASE HELP AS SOON AS POSSIBLE Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He a

lso earned $32.75 last month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put 1 over 5 of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings account:
Step 1: [($22.75 + 3) + $32.75 − $14.25] ⋅ 1 over 5

Step 2: [$44.25] ⋅ 1 over 5

Step 3: $11.0625

In which step did Sunny first make an error? Use words to explain how Sunny can correct his error
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0
Step 1 he had to multiply the $22.75 times 3 weeks it should have been 
($22.75 x 3) + $32.75 - $14.25
$68.25 + 32.75 - $14.25
$86.75
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What is the coefficient of x2 in this trinomial?
Scorpion4ik [409]

Answer:1

Step-by-step explanation:

(x+2)(x+3)

x^2+3x+2x+6

x^2+5x+6

Therefore the coefficient of x^2 is 1

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How much is 106 divided by 6?<br> A) 17 R2 <br>B)17 R3 <br>C)17 R4 <br>D)17 R1​
musickatia [10]

Answer:

C, 17 R4.

Step-by-step explanation:

6x17 is equal to 102, and 102+4 gets you to 106, therefor C is the correct answer.

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3 years ago
What is the solution of the system? Use substitution.<br><br> y = 6x + 2<br> 3y - 18x = 12
kicyunya [14]
3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12    (Then you distribute the 3 to the 6x and to the 2)
6=12                    (Combine like terms 18x-18x)

There is no solution. Hope this helps and makes sense.


5 0
2 years ago
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Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.
Rama09 [41]
We need to know the definition of the "combined function" h(x).  I'm going to guess--by looking at answers--that the function is h(x)=\frac{f(x)}{g(x)} making it

h(x)=\frac{5x+1}{x^2-9}

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined).  Factor the denominator.

h(x)=\frac{5x+1}{(x+3)(x-3)}

The two values of x that make the denominator 0 are 3 and -3, otherwise written x=\pm 3.
5 0
3 years ago
the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?
pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0
2 years ago
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