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Answer:

Jessica has x amount of dollars.

Sarah has 4x + 3

Together they have $72

We can combine Jessica and Sara's money to equal $72.

x + (4x + 3) = 72

Combime like terms

5x + 3 = 72

Subtract 3 from both sides to isolate the variable.

5x = 69

Divide both sides by 5

x = 69/5 or 13 4/5 or 13.80

Jessica has $13.80 and

Sarah has 4(13.80) + 3

55.20 + 3 = 58.20

Answer:

0.3048 i think

Step-by-step explanation:

Answer:

1,500 kilometers

Step-by-step explanation:

To find 75% of 2,000, multiply 2,000 by .75. That gets us 1,500. That means 75% of a 2,000 kilometer trip is 1,500 kilometers.

Answer:

1,500 kilometers

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

the dot is not black so it means that its not equal to three but bigger than three

Answer:

1759. or 27 58/63

63

hope it helps

Answer:

the answer is -5

Step-by-step explanation:

simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)

C A B E D

i think this is the answer

Answer:

y = -1/4x + 8

Answer:

median: 8

mode: 10

[tex]A \ system \ is \ composed \ o f \ 5 \ components \ , \ e ach \ of \ which \ is \ either \ working \ or[/tex][tex]failed. \ Consider \ an \ experiment \ that \ consists \ of \ observing \ the \ status \ of \ each[/tex][tex]component \ . and \ let \ the \ outcome \ of \ the \ experiment \ be \ given \ by \ the \ vector[/tex][tex](x1,x2,x3, x4, x5), \ where \ xi \ is \ equal \ to \ 1\ if \ component \ i \ is \ working \ and \ is \\ equal \ to \ 0 \ if \ component \ i \ is \ failed.[/tex]

[tex](a) \ How \ many \ outcomes \ are \ in \ the \ sample \ space \ of \ this \ experiment?[/tex]  

[tex](b) \ Suppose \ that \ the \ system \ wil l \ work \ if \ components \ 1 \ and \ 2 \ are \ both \\ working, or \ if \ components \ 3 \ and \ 4 \ are \ both \ working, \ or \ if \ components \ 1, \ 3, \\ and \ 5 \ are \ all \ working. \ Let \ W \ be \ the \ event \ that \ the \ system \ will \ work. \ Specify \\ all \ the \ outcomes \ i n \ W.[/tex]

Answer:

Step-by-step explanation:

From the given information:

We learned that it is possible that all entities can be in one of two states i.e. 0 or 1. Thus, all 5 entities can either be 0 or 1 (2 states).

∴

Number of outcomes = 2 × 2 × 2 × 2 × 2

= 2⁵

= 32

b)

All the outcomes of W = {(1, 1, x₃, x₄, x₅) (x₁, x₂, 1, 1, x₅) (1, x₂, 1, x₄, 1)}

Answer:

[tex]w=-8.3g+2075[/tex]

Step-by-step explanation:

Let the x axis represent the gallons g

and y axis represent the weight of the tank w.

So, the first point on the plane will be [tex](20,1909)[/tex]

and the second point will be [tex](50,1660)[/tex]

The line between these points will be

[tex]w-1909=\dfrac{1660-1909}{50-20}(g-20)\\\Rightarrow w-1909=-\dfrac{249}{30}(g-20)\\\Rightarrow w-1909=-\dfrac{83}{10}(g-20)\\\Rightarrow w=-\dfrac{83}{10}g+\dfrac{83}{10}\times 20+1909\\\Rightarrow w=-\dfrac{83}{10}g+2075\\\Rightarrow w=-8.3g+2075[/tex]

The relationship between the weight and gallons of the tank is [tex]w=-8.3g+2075[/tex]

Answer:

288 inches

Step-by-step explanation:

1 yard= 36 inches.

36x8=288

Answer:

It would be 288 inches

Step-by-step explanation:

8 divided by ? inches

1 yard = 36 inches

36 inches times 8 yards = 288 inches

make me brainiest

Answer:

D

Step-by-step explanation:

[tex]x = 1 + \frac{2y}{3} [/tex]

[tex]y = - \frac{3(1 - x)}{2} [/tex]

[tex]x = \frac{1 + y}{2} [/tex]

[tex]y = 2x - 1[/tex]

Answer:

7/3

Step-by-step explanation:

L.C.M of all of the denominators is 12

We get,

[tex] \frac{6 + 10 + 6 + 6}{12} = \frac{28}{12} \\ \\ = \frac{7}{3} [/tex]

In mixed fraction it becomes 2 1/3

And here is your answer hope it helps :)

Answer:

x = 15

Step-by-step explanation:

Given that ∆PQR ~ ∆SQT, therefore their side lengths are proportional to each other.

Thus:

[tex] \frac{PQ}{SQ} = \frac{PR}{ST} [/tex]

PQ = (x + 5) + 8 = x + 13

SQ = 8

PR = 21

ST = x - 9

Plug in the values

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} [/tex]

Cross multiply

[tex] (x + 13)(x - 9) = 8*21 [/tex]

[tex] x(x - 9) +13(x - 9) = 168 [/tex]

[tex] x^2 - 9x + 13x - 117 = 168 [/tex]

[tex] x^2 + 4x - 117 = 168 [/tex]

Subtract 168 from both sides

[tex] x^2 + 4x - 117 - 168 = 0 [/tex]

[tex] x^2 + 4x - 285 = 0 [/tex]

Factorize

[tex] x^2 + 19x - 15x - 285 = 0 [/tex]

[tex] x(x + 19) - 15(x + 19) = 0 [/tex]

(x + 19)(x - 15) = 0

x = -19 or x = 15

Answer:

x = 15

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

Answer:

11 AM

Step-by-step explanation:

5 + 6 = 11

Answer: the answer is 7

Step-by-step explanation:

first you divide the price by four then add a quarter to the original amount. gl

Answer:

3

Step-by-step explanation:

Answer:

most likely C) 4.8 cm

Step-by-step explanation:

Answer:

1.78 min

Step-by-step explanation:

so first you have to figure out the fastest runner

pepe 12 miles in 4.5 minutes

and paula ran 34 miles in 7.5 minutes

if you divide miles by minutes you get how many miles they ran in one minute

12/4.5=~2.67

34/7.5=~4.53

So you can see that paula is faster

if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles

they're both super humans though like woah

Answer:

The helicopter is 27.38 m far off the ground

Step-by-step explanation:

The drawing shown in the image below has all the measures and variables needed to solve the problem.

We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.

[tex]\displaystyle \frac{28}{\sin X}=\frac{a}{\sin 54^\circ}[/tex]

The angle X is the measure needed to complete 180°:

X = 180° - 54° - 62° = 64°

Solving for a:

[tex]\displaystyle a=\frac{28}{\sin 64^\circ}\cdot \sin 54^\circ[/tex]

Calculating:

a = 31.11 m

Now using the sine ratio in the right triangle to the left side:

[tex]\displaystyle \sin 62^\circ=\frac{R}{a}[/tex]

Solving for R:

[tex]R=a\sin 62^\circ[/tex]

R=31.11*0.88

R = 27.38 m

The helicopter is 27.38 m far off the ground

Answer:

24.9%

Step-by-step explanation:

95/382=0.24869

0.24869*100=24.87

24.87% rounded up to the nearest tenth of a percent is 24.9%

Answer:

I think 6 out of 20.

Step-by-step explanation:

I used mental math.

8x=

8-0.25=

7.75

Heart this if it helped!

Answer:

50 square centimeters

Step-by-step explanation:

Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters

Answer:

21

Step-by-step explanation:

15 + (3)2

15 + 6

21

Answer:

24

Step-by-step explanation:

15+x2

= 15 + (3x3)

= 15 + 9

= 24

Answer:

bro i do not know how to do that stuff im only in Middle school my guy

Step-by-step explanation:

I don't know