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3 years ago

I need help with this equation. Please solve for k

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15

Therefore, the answer is: k = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write

sergejj [24]

<u>Answer:</u>

Option(d)

C = 0.46(w - 5) + 9.7

<u>Explanation:</u>

We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

The equation for total cost C for given total weight w can be written by

sum of fixed value and every 5 extra lbs

which can be represented by the equation

C= 0.46(w-5) + 97.

Hence, this represents a linear model for the given data.

3 0

3 years ago

(I WILL GIVE BRAINLIEST)

LUCKY_DIMON [66]

For this case we have the following polynomial:

$3x ^ 2 + 9x + 15$

The standard form of the polynomial is given by:

$ax ^ 2 + bx + c$

Where, the axis of symmetry of the polynomial is given by the expression:

$x = - \frac {b} {2a}$ }

In this case we have:

$a = 3\\b = 9$

Therefore, replacing values we have:

$x = - \frac {9} {2 (3)}$

Rewriting we have:

$x = - \frac {9} {6}\\x = - \frac {3} {2}$

Answer:

The symmetry axis of the polynomial is given by:

$x = - \frac {3} {2}$

option C

6 0

3 years ago

Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid

Tom [10]

Given:

Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.

Lid on Scott's container can hold 3 fluid ounces of detergent.

Lid on Nikki's container can hold 4 fluid ounces of detergent.

To find:

The number of lids full of detergent Scott have more than Nikki.

Solution:

We know that,

1 gallon = 128 fluid ounces

1.5 gallon = 192 fluid ounces

Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is

$\dfrac{192}{3}=64$

Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is

$\dfrac{192}{4}=48$

Difference between number of lids is

$64-48=16$

Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.

5 0

4 years ago

Read 2 more answers

Correct answer and work

yKpoI14uk [10]

This is what the test said so option D

4 0

4 years ago

At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.

wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

$\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz$

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

$\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz$

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

$12\ oz-10\ oz=2\ oz$

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

$1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb$

Convert lb to oz

Multiply by 16

$\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz$

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

$28\ oz > 22\ oz$

Find the difference

$(28\ oz-22\ oz)=6\ oz$

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

4 0

4 years ago