MATHEMATICS MIDDLE SCHOOL

A hockey team in one game scored on 30% of the total number of shots on its opponents goalie. The team scored a total of 5 goals. How many shots did they direct at the opponents goalie?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

so 30% of the total number of goals shot is 5

30% of what number is 5....turn ur percent to a decimal..." of " is multiply

let the number of shots represent x

0.30x = 5...divide borh sides by 0.30

x = 5/0.30

x = 16.66 shots

X=17

Y=62

"HOPE THIS HELPS YOU!!"

What are the vertex and x-intercepts of the graph of y= x2 - 6x - 7?Selectone answer for the vertex and one for the x-intercepts.
A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)

Answers

The vertex and $x-$ intercepts of the graph of $y= x^2 - 6x - 7$ will be $(3,-16)$ and $(7,-1)$ , respectively.

What are vertex and $x-$ intercepts of the graph?

A vertex in a quadratic equation is the minimum or maximum point of the equation and an $x-$ intercept of a graph is the point at which the graph intersects the $x-$ axis.

Vertex form, $y=a(x-h)^2+k$

We have,

$y= x^2 - 6x - 7$

Now,

Find the $x-$ intercept and to find $x-$ intercept put $y=0$ ;

i.e. $y= x^2 - 6x - 7$

$0= x^2 - 6x - 7$

$x^2 - 6x - 7=0$

Now using Mid-term split method find value of $x$ ;

$x^2 - 7x+1x - 7=0$

$x(x - 7)+1(x - 7)=0$

$(x - 7)(x +1)=0$

$(x - 7)=0$ ⇒ $x=7$

$(x +1)=0$ ⇒ $x=-1$

So, these are the $x-$ intercept $(7,-1)$ of the expression.

Now find the vertex using the above given formula;

$y=a(x-h)^2+k$

Rewrite in vertex form

$y= x^2 - 6x - 7$

Add and subtract $(-3)^2$ in given expression;

$y= x^2 - 6x + (-3)^2 -7 - (-3)^2$

$y = x^2 - 6x + 9 -7 - 9$

$y = x^2 - 6x + 9 -16$

Now convert quadratic part of equation in $(a-b)^2$ ;

$y = (x-3)^2-16$

Now compare it with $y=a(x-h)^2+k$

We get, $h=3,\ k=-16$

So, these are the vertex $(3,-16)$ of expression.

Hence, we can say that the vertex and $x-$ intercepts of the graph of $y= x^2 - 6x - 7$ will be $(3,-16)$ and $(7,-1)$ , respectively.

To know more about vertex and $x-$ intercepts of the graph click here

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The answer is B and E

Kayla earns 6.5% in commissions on her home sales. She also earns a yearly salary of $12000. She would like to earn a total of $45000 per year. What is the total value of the homes she must sell to achieve her goal? Show the work on how you solve it please, it will be very much appreciated :)

Answers

0.065s+12000=45000

This is the formula you would use. Where 0.065 is 6.5% in decimal form, s is the value of the homes she must sell, 12000 is her yearly salary and 45000 is the total she wants to earn.

0.065s+12000=45000
-12000 -12000
0.065s=33000
-------- --------
0.065 0.065
s=507,692.31 (rounded to the nearest hundredth)

The total value of the homes she must sell to earn a total of $45000 is $507,692.31

What is the percent of change?
initial value:30
final value:180

Answers

600% 30 is 1/6 of 180

600% I looked it up and multiplied 30 by 600 and it equals 180.

Lines g, h, and l are parallel and m ∠ 1 = 52°.

What is m ∠ 11?

Answers

m∠1 and m∠4 are equal because they are vertical.
m∠4 and m∠ 8 are equal because they are corresponding.
m∠8 and m∠12 are equal because they are corresponding.
m∠12 and m∠11 are supplementary, so the m∠11 must be equal to 128 degrees.

Is there not a picture that goes with this question?

Explain how to estimate 586 - 321 two different ways

Answers

To estimate 586 - 321, you can round the numbers up or down to the nearest five.
586 can either become 570, rounding up, or 585, rounding down, which is closer. 321 becomes 320. It's not close enough to 325, nor to 315, for either of those to be good choices. 570 - 320 = 250 and 585 - 320 = 265. The actual solution to the original problem is 265, so, the second estimate, because they both go down by 1, is the closest.

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