LEVEL 10
William and Ben are neighbors and found out they are born on the same day of the year.
William is 4 times older than Ben. But when you add their ages together and subtract 8 the
answer is 67. How old is Ben?
( you must create equations and solve by substitution to receive credit)

Answer:

n(x)=4x+15;n(x)=7

n(7)=4(7)+15

=》n(7)=28+15

28+15=43

n(7)=43

Answer:

Can you show more of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically, division. divide 85.60 by 4 in order to get each hour.

Answer:

G

Step-by-step explanation:

if you glance at -2 and go up positive three

Answer:

[tex]Probability = \frac{1}{64}[/tex]

Step-by-step explanation:

The sample space of the spinner is:

[tex]Sample\ Space = \{1,2,3,4,5,6,7,8\}[/tex]

So:

[tex]n(S)= 8[/tex]

All of which have the same probability.

Required

Determine the probability of 1, then 2 when spin twice

The probability of the first being 1 is:

[tex]P(1)= n(1)/n(S)[/tex]

[tex]P(1)= 1/8[/tex]

The probability of the second being 2 is:

[tex]P(2)= n(2)/n(S)[/tex]

[tex]P(2)= 1/8[/tex]

So, the required probability is:

[tex]Probability = P(1) * P(2)[/tex]

[tex]Probability =1/8* 1/8[/tex]

[tex]Probability = \frac{1}{64}[/tex]

Answer:

a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]

b. [tex]100-25\pi[/tex]

Step-by-step explanation:

The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.

Step-by-step explanation:

its 60

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

Translation involves changing the position of a shape

From the question, we understand that:

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Answer:

24

Step-by-step explanation:

Answer:

189=99+10x, it will take her 9 weeks to save up enough

Step-by-step explanation:

Answer:

189 = 99 + 10x

Step-by-step explanation:

189 = 99 + 10x

-99 -99

90 = 10x

/10

9 = x

Answer:

13 x 158

Step-by-step explanation:

L= 2W

A= 315 sq ft^2

A= L*W

315= 2W* W

315/2= 158 = w^2

W^2= 158

W=[tex]\sqrt{158}[/tex]

W= 13

The rug should have a dimension of 15 ft wide and 21 ft long.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Let the length of the room be l and h be the width.

So, given that,

l = 19 ft

h = 25 ft

Let w be the width of rug,

Since Cynthia can afford to buy 315 square feet of carpeting

So, area of the rug should be given as,

l*h = 315

Now to carpet the room along its dimension, each side of the width is

w + w = 2w.

So, l =25 - 2w

h = 19 - 2w

Now, ∵ l*h = 315

Put the values we get,

(25 - 2w)*(19 - 2w)  = 315

expanding we get,

4w² - 88w + 475 = 315

or, 4w² - 88w + 160 = 0

or, w² - 22w + 40 = 0

using the quadratic equation we get two solutions:

w = 2

w = 20

Since, w = 20 is greater than one of the width of the room i.e 19ft

So,we take the solution w = 2

Thus, dimensions of rug is given as,

l = 25 - 2*2 = 21 ft

h = 19 - 2*2 = 15 ft

Thus, the rug should have a dimension of 15 ft wide and 21 ft long.

To learn more about rectangle :

brainly.com/question/15759125

#SPJ2

Answer:

x is more than or equal to 77

Step-by-step explanation:

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

Answer:

A

Step-by-step explanation:

You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.

Hope this helps!

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Answer:

b) 22

Step-by-step explanation:

180 = (4x+12) + (3x+14)

180 = 7x + 26

7x = 154

x=22

Answer:

Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n

Answer:

C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36

Step-by-step explanation:

The statement is the difference quotient is 10x+5h +6.

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given function:

g(x) = 5x² + 6x

interval is x= 1 to x=5

so, the average rate of change is

=10(1)+ 5(4) + 6

= 36

Learn more about average rate of change here:

https://brainly.com/question/7223796

#SPJ2

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

:) Have a good day!

Answer:

24 millilitres acid

28 millilitres base

Step-by-step explanation:

First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13

Then, divide 52 by 13 to find out how many millilitres makes up a part.

52/13=4

Then you multiply this by the number of parts for each substance.

4x6=24 millilitres acid

4x7=28 millitres base

Are they correct? Is that the question? Well, the first one is correct because Slope (m) = -6/1 =-6

Equation of the line:

y = -6x + 15

When x=0, y = 15

When y=0, x = 2.5

and the other one:

Is incorrect and the correct answer is A because y= 7.5x -2. 7.5 is positive, the slope, and -2 is the y-intercept. Its negative.

Answer:

the answer is C:

[tex]2 \times 10 { - }^{4} [/tex]

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️

Answer:

(a)

$24.10,

$18.20,

$15.25,

$9.35,

$0.50,

(b)

b=30-2.95g

Step-by-step explanation:

Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50

b) b=30-2.95g

Answer:

.

Step-by-step explanation:

Answer:

V = 567 yd³

Step-by-step explanation:

V = [tex]\frac{1}{2}a c h\\[/tex]

V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]

V = 567 yd³