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Kipish [7]
3 years ago
13

What is the value of y in the equation 3(3y − 15) = 0? 5 6 7 9

Mathematics
1 answer:
mezya [45]3 years ago
4 0
Y = 5
3(3y - 15) is also equal to 9y - 45, which means to find y, you have to divide 45 by 9, which is 5.
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Let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?
Dmitrij [34]
The consecutive integers are i, i+1, i+2, i+3.

3 less than sum of the integers

= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3
5 0
3 years ago
Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?
coldgirl [10]

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

k=\frac{y}{x}

substitute the given values

k=\frac{12}{-3}=-4

so

The linear equation is equal to

y=-4x

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

y=-4(6)=-24

7 0
3 years ago
Mandy divided a 12-pound bag of oranges into 5 equal piles. Which rational number represents the weight of the oranges in each p
Gnom [1K]
12÷5= 2.4 pounds

2.4 pounds =2 4/10 pounds

=2 2/5
8 0
3 years ago
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inysia [295]
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3 0
2 years ago
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Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
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