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DerKrebs [107]
2 years ago
6

PLEASE HELP ME: the ratio of cars to trucks on a highway at any given time is 12 to 8. If there are always more than 105 cars on

the highway, what is the minimum number of cars that can be on the highway?
Mathematics
1 answer:
andre [41]2 years ago
5 0

Answer:

70

Step-by-step explanation:

First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.

Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.

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PLZZ HELP ME 20 POINTS AND BRAINLIEST!
omeli [17]

Answer:

The price of price of the stock after it has been owned for 12 weeks is $92.55

Step-by-step explanation:

Given: The price of a particular stock is represented by the linear equation

y = -0.91x + 103.47

where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.

We have to find the price of price of the stock after it has been owned for 12 weeks.

Since , x represents the number of weeks the stock has been owned.

Thus, by substitute, x = 12

We get the value of y , the price of stocks.

Thus, y(x) =  -0.91x + 103.47

⇒ y(12) =  -0.91(12) + 103.47

⇒ y(12) =  -10.92 + 103.47

Solving , we get,

⇒ y(12) = 92.55

Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.

8 0
3 years ago
Read 2 more answers
The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year. This year the s
snow_tiger [21]

Answer:

The original number of oranges purchased is 260

Step-by-step explanation:

Let the original number of oranges purchased be x

We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.

So, Oranges bought this year = x+15\%x=x+\frac{15}{100}x=1.15x

We are given that This year the store bought 299 oranges.

So, 1.15 x= 299

x=\frac{299}{1.15}

x=260

Hence the original number of oranges purchased is 260

4 0
3 years ago
Given that measure OAB equals 45. What is the area of the shaded portion of the circle?
Nat2105 [25]

Answer:

D. 8\pi-16

Step-by-step explanation:

A circle measures 360 degrees and has an area A=\pi{r}^2

The radius (also side length) is given: 4\sqrt{2}.

The area of this circle is A=\pi\cdot{4}{\sqrt{2}}^2=32\pi

The area of a triangle is (1/2)bh, so this triangle is: (\frac{1}{2})\cdot 4\sqrt{2}\cdot4\sqrt{2}=A

Triangle area: A = 16 units^2.

  • This is a right triangle that's also a 45, 45, 90 triangle. In these special triangles, the side lengths (AO and OB) will be the same. It also means the hypotenuse is such side length times the sqrt of 2.

Now, subtract the area of the triangle from 1/4 of the circle's area:

(1/4)32pi - 16 = 8pi - 16

8 0
2 years ago
A number z divided by 7 equals 4
Nataly [62]
Z=28 because 7x4=28

HOPE I HELPED!!!

6 0
3 years ago
Read 2 more answers
is going to plant y vegetable seeds in one garden and 3y+8 vegetable seeds in another. How many seeds is Frank going to​ plant?
givi [52]

Answer:

4y + 8 vegetable seeds

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

We know that Frank has 2 gardens, one with <em>y</em> vegetable seeds and another with 3<em>y</em> + 8 vegetable seeds. If we are trying to find the <em>total</em> amount of seeds planted, we must add the 2 gardens together:

Garden 1: <em>y</em>

Garden 2: 3<em>y</em> + 8

Garden 1 + Garden 2 = Total veggie seeds

<em>y</em> + 3<em>y</em> + 8 = Total veggie seeds

Total veggie seeds = 4y + 8

4 0
3 years ago
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