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4 years ago

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics

1 answer:

sesenic [268]4 years ago

6 0

Answer:

Total number of charms added would be 3.

Total cost of the bracelet = $ 63.

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.

Step-by-step explanation:

Let the number of charms added be $x$ .

Total charge by Norwood Fine Jewelry for $x$ charms = $13x + 24$

Total charge by Acosta Jewelers for $x$ charms = $12x + 27$

If the charge by both the jewelers are to be same, then,

$13x+24=12x+27\\13x-12x=27-24\\x=3$

Therefore, 3 charms are added to the bracelet to make the total charge at either of the jewelry shop same.

Now, total charge at either of the jewelry shop for $x=3$ is:

Total charge = $13(3)+24=39+24=63$

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.

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Before we can make the mashed potatoes, we need to boil some water. The water starts out at room temperature, 70° F, and increas

Karolina [17]

Answer:

Part a) $y=50t+70$

Part b) $t=2.84\ min$

Step-by-step explanation:

Part a) Create a linear equation

Let

t ----> the time in minutes

y ---> the temperature in °F

we know that

The linear equation in slope intercept form is equal to

$y=mt+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope m is equal to

$m=50\° F\ per\ minute$

The y-intercept is

$b=70\° F$

substitute

$y=50t+70$

Part b) How many minutes until the water boils at 212° F?

For y=212° F

substitute in the linear equation and solve for t

$212=50t+70$

$50t=212-70$

$50t=142$

$t=2.84\ min$

6 0

3 years ago

What is the height of a rectangular prism that has a volume of 192 cubic feet and a base with an area of 48 square feet? Explain

Harman [31]

The formula for volume is length × width × height, so this is the same as area of cross section × height. So, if the base of the rectangular prism (the cross section) has an area of 48 square feet, then 48 × the height = 192 cubic feet. Working backwards, we can find out the height (h will stand for height):
48×h=192
h=192÷48
h=4
Therefore, the height of the rectangular prism is 4 feet

6 0

4 years ago

Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?

lakkis [162]

Answer:

Choice 4.

Step-by-step explanation:

f(g(x))

Replace g(x) with x^2+8 since g(x)=x^2+8.

f(g(x))

f(x^2+8)

Replace old input,x, in f with new input, (x^2+8).

f(g(x))

f(x^2+8)

2(x^2+8)+5

Distribute:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

Combine like terms:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

2x^2+21

7 0

3 years ago

How can you order a ladder

LuckyWell [14K]

You can either go order one online or a hardware store (like Home Depot and Lowes)

8 0

3 years ago

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the box-and-whisker plot below show the number of movies watched lasted month by students in Mr.Garcia's 1st period and 2nd peri

lora16 [44]

I found the corresponding plot and choices.

1st period 2nd period
minimum 1 0
q1 3 1
q2 4 3
q3 7 7
maximum 11 13

My answer among the given choices was:

<span>More students watched movies in Mr. Garcia's 2nd period class than in his 1st period class.
</span>

3 0

4 years ago