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2 years ago

9. Giselle has a gift card for a local lawn and

Mathematics

1 answer:

kakasveta [241]2 years ago

4 0

Answer:

solution-----

Here,

cost of rent per day=$35

cost of rent for all 4 days =$35×4

=140

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if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f

Anastaziya [24]

Answer:

<em>The third integer is 27</em>

Step-by-step explanation:

Given

Represent the consecutive odd numbers with $T_1, T_2; and\ T_3$

Since they are consecutive odds, then

$T_2 = 2 + T_1$

$T_3 = 2 + T_2$

<em>From the first statement in the question, we have that</em>

$T_1 + T_3 = 5 T_2 - 75$

Required

Find the third integer

Recall that

Substitute $T_2 = 2 + T_1$ in $T_3 = 2 + T_2$

$T_3 = 2 + 2 + T_1$

$T_3 = 4 + T_1$

Substitute $T_3 = 4 + T_1$ and $T_2 = 2 + T_1$ in $T_1 + T_3 = 5 T_2 - 75$

$T_1 + 4 + T_1 = 5(2 + T_1) - 75$

Open Brackets

$T_1 + 4 + T_1 = 10 + 5T_1 - 75$

Collect like terms

$T_1 + T_1 + 4 = 5T_1 - 75 + 10$

$2T_1 + 4 = 5T_1 - 65$

Collect like terms

$2T_1 - 5T_1 = - 65 - 4$

$-3T_1 = - 69$

Divide both sides by -3

$\frac{-3T_1}{-3} = \frac{- 69}{-3}$

$T_1 = 23$

Recall that $T_3 = 4 + T_1$

$T_3 = 4 + 23$

$T_3 = 27$

<em>The third integer is 27</em>

6 0

3 years ago

Unit 6, Lesson 15

I am Lyosha [343]

Based on the calculations, we can predict that 2, 3, 4, 5, etc., will make the inequality true.

<h3>How to solve an inequality?</h3>

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

Evaluating the given inequality, we have:

-1 ≤ x/2

-2 ≤ x

x ≥ 2.

Therefore, we can predict that 2, 3, 4, 5, etc., will make the inequality true.

Next, we would complete the table to check our prediction:

x -4 -3 -2 -1 0 1 2 3 4

x/2 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2

When x = -2:

-1 ≤ -2 (false)

When x = 2:

-1 ≤ 1 (true)

When x = 3:

-1 ≤ 3 (true)

When x = 4:

-1 ≤ 4 (true)

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

<u>Complete Question:</u>

1. a. Consider the inequality -1 ≤ x/2.

i. Predict which values of will make the inequality true.

ii. Complete the table to check your prediction.

7 0

2 years ago

2900 dollars is placed in an account with an annual interest rate of 9% Wirte an equation that calculates how many dollars will

valentinak56 [21]

Answer:

The amount that will be in the account will be $(2900 +261x)

Step-by-step explanation:

We know that the amount of money that will be in the account will be a sum of the initial principal ($2900) and the interest that is accrued after x years.

Since we already know the principal, we will have to calculate the interest that is accrued after x years.

we can use the formula:

Interest = (principal X rate X time)/ 100

Interest = $(2900 \times 9 \times x)/100=261x$

Therefore the amount that will be in the account will be $(2900 +261x)

6 0

2 years ago

WHAT IS 5+6+6+^6 DIVDED BY 7

GaryK [48]

The value of the given expression is 11.57

<h3>Division of number</h3>

Division are written as a ratio of two values. Given the expression below

5+6+6+2^6 ÷ 7

Simplify to have:

(11+6+64)÷ 7

Simplify the expression in parenthesis

81÷ 7

11.57

Hence the value of the given expression is 11.57

Learn more on division here: brainly.com/question/25289437

#SPJ1

7 0

2 years ago

Determine the values of k and p so that the solution is "All Reals" when solving for y:

Angelina_Jolie [31]

Answer:

The value of k is $\pm 9$ and The value of p is - 23

Step-by-step explanation:

Given equation as :

81 y - 17 = k² y + 6 + p

The equation has real solution ,

Now for real solution the equation have no solution

∵ The equation has no solution the ,

The coefficient of y must be equal

I.e 81 = k²

Or, k = $\sqrt{81}$

∴ k = $\pm 9$

Again , If the coefficient of y is same then the equation is written as

6 + p = - 17

or, p = - 17 - 6

or, p = - 23

Hence The value of k is $\pm 9$ and The value of p is - 23 Answer

6 0

3 years ago