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kari74 [83]
3 years ago
6

Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t

he number
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

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Find the center and the radius of the circle with the equation .
Simora [160]

We have been given an equation of circle x^2+2x+y^2-2y-14=0. We are asked to find the center and radius of the circle.

First of all, we will write equation of circle is standard form (x-h)^2+(y-k)^2=r^2, where center of circle is at point (h,k) and radius is r.

Let us complete the square for both x and y.

x^2+2x+y^2-2y-14+14=0+14

x^2+2x+y^2-2y=14

Adding half the square of coefficient of x and y term, we will get:

(\frac{2}{2})^2=1^2=1

(\frac{-2}{2})^2=(-1)^2=1

x^2+2x+1+y^2-2y+1=14+1+1

(x+1)^2+(y-1)^2=16

(x-(-1))^2+(y-1)^2=4^2

Therefore, the center of the circle is (-1,1) and radius is 4 units.

4 0
3 years ago
Walmart is selling 24 bars Gatorade for $8.44 what is the price per bottle​
Eva8 [605]

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

3 0
3 years ago
Read 2 more answers
Evelyn goes to a middle school that includes grades 6, 7, and 8. She wants to estimate the percentage of students in the school
morpeh [17]
<span>B. The sample might not be representative of the population because it only includes students who are attending an after-school activity.</span>
7 0
3 years ago
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Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

x^2 = 100 + 196

x^2 = 296

Take square root

x = \sqrt{296

x = 17.2in

3 0
3 years ago
A meatball recipe calls for 2 cups of breadcrumbs for every 5 cups of ground meat. How many cups of breadcrumbs are required for
Ghella [55]

Answer:

1/4 cup for every cup

Step-by-step explanation:

If you divide 2 by 5, you would get this answer. Sorry if it's wrong!

6 0
3 years ago
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