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Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.

Answer:

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

We have:

Use the ratio to find the lenght of RT

So the value of x is 4 units

Find RT

Now

Answer:

87.5 percent

Step-by-step explanation:

80 passed the first, 70 passed the second. 7/8 passed both. 7/8 as a percentage is 87.5.

Answer:

C. 87.5%

Step-by-step explanation:

[tex]P(A|B)[/tex]

this is what you are trying to find.

P(A | B) can be found by dividing the percentage who passed both, by the percentage who passed the first.

70/80 = 0.875

multiply by 100 to get percentage instead of decimal

87.5

Answer: 250 ≤ 100+5x

150≤5x divide by 5

30≤x

It will take 30 weeks to earn enough.

Step-by-step explanation:

The box plot represents the rate of cars in the Main Street per hour

25 percent of the time, the Main Street have 100 or more cars per hour

From the box plot, we have the following parameter:

The upper quartile of the boxplot is 100

This means that:

Q3 = 100

The upper quartile is the 75% dataset

The actual percentage is then calculated as:

Actual = 100% - 75%

This gives

Actual  = 25%

Hence, 25 percent of the time, the Main Street have 100 or more cars per hour

Read more about boxplots at:

https://brainly.com/question/14277132

Answer:

-1.7

Step-by-step explanation:

8.7 + X =7

incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.

X=-1.7

8.7+(-1.7) =7

Answer:

x = 8

Step-by-step explanation:

The sum of the measures of two complementary angles is 90°.

m<C + m<D = 90°

5x + 7x - 6 = 90

12x = 96

x = 8

Answer:

Below in bold.

Step-by-step explanation:

8 18 30 44

the differences are 10 12 14 .etc

1.1.1  Next 2 terms are  44+ 16 = 60 and 60+ 18= 78.

1.1.2  8 =  1^2 + 7

       18 = 2^2 + 14

       30 = 3^2 + 21

       44 = 4^2 + 38

So the nth term = n^2 + 7n.

1.1.3 n^2 + 7n = 330

n^2 + 7n - 330 = 0

(n +  22)(n - 15) = 0

n =  -22, 15

As  the term sequence must be positive the answer is 15.

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

Answer:

x = 5/3 , y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]

[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{4-\left(-1\right)}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{5}{3}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{5}{3},\:y=-1[/tex]

3(5/3) + -1

5-1 = 4

True

6(5/3) + 4(-1)

10 -4 = 6

True

~lenvy~

Answer:

No, No, Yes, Yes, Yes.

Step-by-step explanation:

A integer is a whole number. 1, 2, 3, etc.

Answer:

Only -46 is an integer number and others are not.

Step-by-step explanation:

An integer is a whole number but not a fractional number that can be positive, negative, or zero.

In this chart -46 is an integer cause it is a whole number and -1/2, 57.68, 24/6, 9/3 are not integers cause they are a fraction.

Answer:

13.75 is your answer

Step-by-step explanation:

find area of whole triangle 5.5*7*1/2=19.25

Find area of blank spot 5.5*2*1/2=5.5

Subtract 19.25-5.5=13.75

Answer: 105 square feet

Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.

Answer:

Step-by-step explanation:

16 ticks, the pointer is on 12. there fore it is the second answer.

2 3/4 lb

Answer:

answer is a

Step-by-step explanation:

ur welcome

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

Answer:

15 and -26.

Step-by-step explanation:

Answer:

15 and -26

Step-by-step explanation:

just bc

Answer:

90°

Step-by-step explanation:

Triangle ACD has one vertex on the circle, and the other two at the opposite ends of a diameter. It is then a right triangle.

One way of thinking of it is the fact that angle AFC measures 180°, and all angles that have end points on the same arc (in our case, the part of arc AC on the bottom right part of the circle)and vertexes on the circle measure half of it, or 90°

Answer:

90

Step-by-step explanation:

since AC is a diameter and hypothenus of ADC

so triangle ADC is a right triangle

so angle ADC = 90°

Answer:

D

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = [tex]\sqrt{17}[/tex]

Answer:

⠀

Step-by-step explanation:

⠀

We'll solve this using the Pythagorean Theorem.

⠀

Let,

⠀

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]

[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]

⠀

Therefore,

Step-by-step explanation:

2 × 10⁸ - 7 × 10⁷

= 200,000,000 - 70,000,000

=130,000,000

= 1.3 × 10⁸

Answer:

130 million

Step-by-step explanation:

200 million in N

70 million in F

200-70 = 130 million

Hope this helps have a great day

Answer:

72pi cubic inches.

Step-by-step explanation:

area = pi r²

r = d / 2

r = 3

3² = 9

9pi x 8 = 72pi.

Answer:

Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.

(x+5)(x-5) = x^2 -5x + 5x -25

the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

Answer:

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

I don't see the graphs.

Answer:

exuse me but i dont see the questions

Step-by-step explanation:

Answer:  32

Step-by-step explanation:   count one row and then multiply that by 4 And then it equals 32

Step-by-step explanation:

if its x13^2-5=0 then 5/169

but if its x13*2-5=0 then 1.07

Answer:

x<

−97

45

Answer:

b<

−38

5

n>

−22

3

p>

16

3

n>7

Answer:

f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.

f(x)=4*2^2-3, which equals 13

g(x)= -2^2+2, which equals -2

add

f+g when x=2 is 11

Step-by-step explanation: