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grigory [225]
3 years ago
15

In Exercises 26-28, write an equation. Then solve.

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

The temperature outside is  75.6°F

Step-by-step explanation:

We are given the following in the question:

The temperature of dry ice = - 109.3°F

Let x be the temperature outside in Fahrenheit.

It is given that the temperature of dry ice  is 184.9°F less than  the outside temperature.

Thus, we can write the equation:

x - 184.9 = -109.3

Solving, the above equation, we get:

x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6

Thus, the temperature outside is  75.6°F

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If 15% of an item is $18 what is the original price??
stiks02 [169]

Answer:

If you were trying to find 15% of 18, that would be multiplying a decimal, but, you need to mutliply a whole number. $120 should be your answer. People, correct me if I'm wrong (seriously though, not 100% sure if this is correct).

Step-by-step explanation:

18 = 15% x Y

18 = 15/100 x Y

Y = 18 × 100/15

Y = 18 × 100 ÷ 15

Y = 120

6 0
3 years ago
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
1 year ago
Which system of the equation is represents by the graph?<br><br><br>​
pashok25 [27]
Sorry just needed points to use this app
3 0
2 years ago
Find two numbers if their sum is 6.1 and their difference is 1.6
Nimfa-mama [501]
A+b=6.1 ---(1)
a-b=1.6 ---(2)

(1)+(2); 2a=7.7
then a=3.85
so b=a-1.6 = 3.85-1.6 = 2.25

so that the two numbers are 2.25 and 3.85
5 0
3 years ago
Miss Lianto mowed 2/7 of her lawn. Her son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be m
Nuetrik [128]

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.

Mr. Pham mowed more of the lawn than his son.

it still needs ¹³/₂₈ of the lawn to be mowed.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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