For your summer babysitting jobs you have 10 weeks to work before your family vacation and before you return to school in the fall. You are planning on earning and saving at least $1500 for your future car. Mrs. Harris is paying you $8.00 an hour to babysit during the day and Mrs. Sanchez is paying you $6.00 per hour to babysit her child in the evening.
• Let x = the number of hours you babysit for Mrs. Harris
• Let y = the number of hours you babysit for Mrs. Sanchez
1. Write an inequality describing the number of hours you want to work each week to reach your summer goal of at least $1500. Remember you have 10 weeks to work. How much do you want to average per week?

The correct statements are;

1. 96 oz greater than 5 lb.

2. 6 yd, 1 ft = 19 ft.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity.

Given that;

To check the relation between 96 oz and 5 lb.

And, Value of 6 yards in feet.

Since, 1 lb = 16 oz

Hence, 5 lb = 5 x 16 = 80 oz

So, 96 oz > 80 oz

Thus, 96 oz > 5 lb

And,

Since, 1 yards = 3 feet

Thus, 6 yards + 1 feet = 6 x 3 + 1

                                 = 18 + 1

                                 = 19 feet.

So, The correct statements are;

1. 96 oz greater than 5 lb.

2. 6 yd, 1 ft = 19 ft.

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The next term is the given sequence is 100.

The given number sequence is 7, 10, 16, 28, 52,......

In the given sequence, pattern is as follows

7 + 3(1) = 10

10 + 3(2) = 16

16 + 6(2) = 28

28 + 12(2) = 52

52 + 24(2) = 100

Therefore, the next term is the given sequence is 100.

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Answer:

Unless there's something else, I'm supposed to be seeing the answer is 4.

Step-by-step explanation:

6-2=4

Final answer:

To find what is 10 times as much as 50, you multiply 50 by 10, which results in 500. This is a basic multiplication problem where the number 50 is increased by one order of magnitude.

Explanation:

The question 'what is 10 times as much as 50' involves a basic arithmetic operation known as multiplication. Multiplying a number by 10 is the same as adding a zero to the end of that number, when dealing with base ten numerical system. In this scenario, we are seeking to calculate 10 times 50, which can be expressed mathematically as:

Identify the two numbers involved in the multiplication: 10 (the multiplier) and 50 (the multiplicand).

Multiply the multiplicand by the multiplier: 50 × 10 = 500.

Therefore, 10 times as much as 50 is 500. This is consistent with the idea that a change from a power of ten to the next higher power means a ten-fold increase in value, or an increase by one order of magnitude.

The inequality that represents the scenario given, where one eighth of a number is less than or equal to 3, is X ≤ 24.

The problem given can be represented by an inequality. We are told that one eighth of a number is less than or equal to 3. We can express this in equation form as X/8≤3, where X is the unknown number we are trying to figure out.

To solve for X, we can perform the inverse operation of division on both sides of the inequality by multiplying by 8, following the principle of maintaining balance within an inequality. The inequality thus simplifies to X ≤ 24.

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Final answer:

To factor the expression 42x+49, we find the GCF which is 7, and express the expression as 7(6x + 7).

Explanation:

The question focuses on the task to factor the expression 42x+49. Factoring is a mathematical process in which we express a number or an algebraic expression as the product of its factors, which are usually simpler or more basic expressions.

To factor the given expression, we look for the greatest common factor (GCF) that both terms share. In this case, the GCF of 42x and 49 is 7. We factor the 7 out:

42x + 49 = 7(6x + 7)

The factored form is 7(6x + 7), which is the simplest form of the expression where 7 is a common factor multiplied by the binomial 6x+7.

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Answer:

the answer is 3

if you subtract for 4 from 7 in the first expression, then h is less than or equal to 3.

If you subtract 1 from 3 in the second expression then h is greater than 2.

thus the only value of h possible is 3.

Final answer:

A person will spend 28 years sleeping and 9 years watching TV if they devote 37 years combined to these activities with sleeping exceeding TV watching by 19 years.

Explanation:

To solve the problem of how many years a person will spend watching TV and sleeping given that the total is 37 years and the number of years sleeping exceeds watching TV by 19, we can use two variables X and Y where X represents the number of years spent watching TV and Y represents the number of years spent sleeping. Now, we know two things:

Substituting the second equation into the first, we get:

X + (X + 19) = 37

2X + 19 = 37

2X = 37 - 19

2X = 18

X = 9

Now that we know X, which is the number of years watching TV, we can easily find Y, the number of years sleeping, by plugging X into the second equation:

Y = X + 19 = 9 + 19

Y = 28

Therefore, the person will spend 9 years watching TV and 28 years sleeping.

The solution of expression is,

t = - 1

We have to given that,

An expression to solve,

5t + 16 = 6 - 5t

Now, We can simplify as,

5t + 16 = 6 - 5t

Add 5t both side,

5t + 5t + 16 = 6 - 5t + 5t

10t + 16 = 6

Subtract 16 both side,

10t + 16 - 16 = 6 - 16

10t = - 10

Divide both side by 10,

t = - 10/10

t= - 1

Therefore, The solution is, t = - 1

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