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labwork [276]
2 years ago
11

Please help! Billy just received $10 for his birthday and immediately spent $2.50 on a pack of baseball cards. He then wants to

buy some boxes of candy that cost $1.50 each.
If Billy has $7.50 remaining, which of the following equations will give you the number of boxes, x, that Billy could buy?

Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

Answer:

1.5x = 7.5   (a)

Step-by-step explanation:

If Billy has $7.50 remaining, then he can buy x no. of boxes.

Each box costs $1.50

So, 1.5x = 7.5

You might be interested in
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? y = -3/2x+7/2 2y = -3x + 7 2
SOVA2 [1]

Answer:

The equation of the line would be y = -3/2x + 7/2

Step-by-step explanation:

In order to find this, we must first use the slope formula with the two point to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - -1)/(-1 - 3)

m = 6/-4

m = -3/2

Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

3 0
3 years ago
2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.
Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

(x-h)^{2} +(y-k)^{2} =r^{2}

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

(x+1)^{2} +(y-2)^{2} =36

the Center is: (-1,2)

and the radius is: \sqrt{36} = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

(x+1)^{2} +(y-2)^{2} =36

(x+1)^{2} +(2-2)^{2} =36

(x+1)^{2} +(0)^{2} =36

(x+1)^{2}  =36

x+1 =±\sqrt{36}

x=6-1    AND    x=-6-1

x=5          AND    x=-7

  • The points are A(5,2)  and  B(-7,2)

second sub x= -1 in the equation to find the values for y:

(x+1)^{2} +(y-2)^{2} =36

(-1+1)^{2} +(y-2)^{2} =36

(0)^{2} +(y-2)^{2} =36

(y-2)^{2} =36

y-2=±\sqrt{36}

y=6+2    AND    y=-6+2

y=8          AND    y=-4

  • The points are D(-1,8)  and  E(-1,-4)      

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0
3 years ago
Solve:m+ 2/3=1/2 <br><br> A. 1 1/6<br><br> B. 1/6<br><br> C.-1<br><br> D. - 1/6
natita [175]

Answer:

D. - 1/6

Step-by-step explanation:

M + 2/3 = 1/2

M = 1/2 - 2/3

\frac{1}{2} - \frac{2}{3} = \frac{3}{6} -  \frac{4}{6} = -\frac{1}{6}

6 0
3 years ago
Read 2 more answers
Please help with this question ​
leonid [27]

We know that \sin(45)=\cos(45) and this is the only point when sin and cos are equal lengths. Because both \sin(45),\cos(45)=\dfrac{\sqrt{2}}{2}

Now if the sin of 30° is a half that would mean that cos of 60° is also a half.

Hope this helps.

<u>r3t40</u>

5 0
3 years ago
Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
user100 [1]
C.y=1/2x+6, is fit....
4 0
3 years ago
Read 2 more answers
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