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Answer:20 and 15 gallons

Step-by-step explanation:

Given

The first car gets 25 miles per gallon

The second car gets 15 miles per gallon

Two cars consumed 35 Gallons

they went for 725 miles in total

suppose the first car consumes x gallons

so, the second car consumes 35-x gallons of gas

We can write

[tex]\Rightarrow 25x+15(35-x)=725\\\Rightarrow 25x-10x=725-525\\\Rightarrow 10x=200\\\Rightarrow x=20[/tex]

First consumed 20 gallons and second consumed 15 gallons

Answer:

otf grandson c or b or a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Original price = $60

Step-by-step explanation:

Given:

Sales price of shoes = $45

Discount rate = 25%

Find:

Original price

Computation:

Original price = Sales price of shoes[1/(1-Discount rate)]

Original price = 45[1/(1-25%)]

Original price = 45[1/(1-0.25)]

Original price = 45[1/(0.75)]

Original price = $60

Answer:

Step-by-step explanation:

$60

Answer:x=-215

Step-by-step explanation: hope this helps!

Answer:

8

Step-by-step explanation:

Given data

Volume of large box= 1000cm^3

Dimension of small box

L=5cm

W=5cm

H=5cm

Volume of small box= 5^3

V=125cm^3

Hence the number of small box that can fill the large box is

=1000/125

=8

Answer:

y = 3

Step-by-step explanation:

Since they both go through 3 for the y-coordinate that means the equation is just y = 3.

The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

The ratio of the area is given as:

[tex]R= \frac{\pi r^2}{4r^2}[/tex]

or

[tex]R= \frac{\pi}{4}[/tex]

The volume of a cone is:

[tex]V_1 = \frac 13 \pi r^2 h[/tex]

For a pyramid, the volume is:

[tex]V_2 = \frac 43 r^2h[/tex]

Rewrite as:

[tex]V_2 = 4 * \frac 13 r^2h[/tex]

Divide by 4

[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]

Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]

So, we have:

[tex]V_1 = \frac{V_2}{4} * \pi[/tex]

This gives

[tex]V_1 = \frac{\pi}{4} V_2[/tex]

Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

Read more about volumes at:

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Answer:

6.21 minutes approx

Step-by-step explanation:

Given data

Distance = 6 miles

Speed = 58miles per hour

We know that the expression for speed is

Speed= distance/time

substitute

58= 6/time

time= 6/58

time=0.10 hours

To minutes

=6.21 minutes approx

Answer:

The is coming this:-

500,000,500,000

Did you get this in vedantu

Answer:

Step-by-step explanation:

9x5=45

45=area

9+9+5+5=28

28=Per

#2

π x 8^2

=16

A=16π

2 x π x 8

P=16π

#3

hxb/2

=10x24/2

=120

A=120

P=60

Answer:

using above inequality equation, we can find the total hours in which the clown can be at the party

The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Dan is planning an event for which the total cost cannot exceed $400.

And, Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour.

Now,

Let number of hours = h

So, We can formulate;

Total spend money = $180 + $35h

Hence, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

Thus, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;

⇒ $180 + $35h < $400

Learn more about the inequality visit:

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Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct

Answer:

d) 44, 41, 40

Step-by-step explanation:

34 + 6 = 40

40 - 3 = 37

37 - 1 = 36

36 + 6 = 42

42 - 3 = 39

39 - 1 = 38

pattern: +6, -3, -1

the next pattern from -1 is +6 so we take 38 and add 6:

38 + 6 = 44

then take 44 and subtract 3 from it:

44 - 3 = 41

lastly, take 41 and subtract 1 from it:

41 - 1 = 40

Answer:

44,41,40

Step-by-step explanation:

34

34 + 6 = 40

40 - 3 = 37

37 - 1 =  36

36 + 6 = 42

42 - 3 = 39

39 -1 = 38

So, your next set of numbers are

38 + 6 = 44

44 - 3  = 41

41 - 1 = 40

Answer:

[tex]c=\frac{5}{\cos35^{\circ}}[/tex]

Step-by-step explanation:

Using basic trig for right tringles ([tex]\cos\theta =\frac{\text{adj}}{\text{hyp}}[/tex]), we have the following equation:

[tex]\cos 35^{\circ}=\frac{5}{c},\\c=\boxed{\frac{5}{\cos 35^{\circ}}}[/tex].

The value of c in the right triangle ABC is 5 / cos 35°

Right triangle has one of its sides as 90 degrees. The sides of a right triangle can be found using trigonometric ratios as follows;

cos 35 = adjacent  / hypotenuse

where

adjacent side = 5 inches

c = hypotenuse

Therefore,

cos 35° = 5 / c

cross multiply

c cos 35° = 5

divide both sides by cos 35°

c = 5 / cos 35°

learn more on right triangle here: https://brainly.com/question/4364353

Step-by-step explanation:

babababababababbababavavabababababa

Answer is in the file below

tinyurl.com/wtjfavyw

Answer:

[tex](a)[/tex] [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex](b)[/tex] [tex]Length = 5in; Width = 9in; Height = 5in[/tex] or [tex]Length = 3in; Width = 10in; Height = 6in[/tex]

Step-by-step explanation:

Let:

[tex]W=Width; L = Length; H = Height[/tex]

Given

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

[tex]V = L * W * H[/tex]

[tex]V = (9 - H) * (4 + H) * H[/tex]

Expand

[tex]V = (9 - H) * (4H + H^2)[/tex]

Open brackets

[tex]V = 36H + 9H^2 - 4H^2 - H^3[/tex]

[tex]V = 36H + 5H^2 - H^3[/tex]

Rewrite as:

[tex]V = -H^3+ 5H^2 + 36H[/tex]

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: [tex]V = -H^3+ 5H^2 + 36H[/tex]

[tex]180 = -H^3+ 5H^2 + 36H[/tex]

Rewrite as:

[tex]H^3 - 5H^2 - 36H + 180 = 0[/tex]

Factorize:

[tex]H^2(H - 5) - 36(H - 5) = 0[/tex]

[tex](H^2 - 36)(H - 5) = 0[/tex]

Express [tex]H^2 - 36[/tex] as difference of two squares

[tex](H - 6)(H + 6)(H - 5) =0[/tex]

This gives:

[tex]H - 6 =0==> H = 6[/tex]

[tex]H + 6 =0==> H = -6[/tex]

[tex]H - 5 =0==> H = 5[/tex]

Since the height can not be negative, then H = 5 or H = 6

Recall that:

[tex]W = 4 + H[/tex]

[tex]L = 9 - H[/tex]

When H = 5

[tex]W = 4 + 5 = 9[/tex]

[tex]L = 9 - 5 = 4[/tex]

When H = 6

[tex]W = 4 + 6 = 10[/tex]

[tex]L = 9 - 6 = 3[/tex]

Hence, the dimensions of the box are:

[tex]Length = 5in; Width = 9in; Height = 5in[/tex]

or

[tex]Length = 3in; Width = 10in; Height = 6in[/tex]

The volume of the box is given by -h³ + 5h² + 36h

Volume is the amount of space occupied by a three dimensional object. The volume (V) of a box is given by:

V = length * width * height

Let h represent the the height, hence width = h + 4, length = (9 - h)

V = h(h + 4)(9 - h) = h(5h -h² + 36) = -h³ + 5h² + 36h

For a volume of 180 in³:

180 = -h³ + 5h² + 36h

h = 5 or 6.

The volume of the box is given by -h³ + 5h² + 36h

Find out more on Volume at: https://brainly.com/question/1972490

Answer:

El tiempo de fabricación para cada vehículo es:

Automóviles tipo Sedan= 1 hora

Camionetas tipo SUV= 1.5 horas

Camionetas tipo VAN= 2 horas

Camionetas tipo Pick-up= 3 horas

Automóviles deportivos= 12 horas

Step-by-step explanation:

En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24 automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8 Camionetas tipo Pick-up y 2 automóviles deportivos. Para calcular el tiempo de fabricación de cada vehículo debes dividir la cantidad de horas que trabaja por la cantidad de cada vehículo fabricado. Esto es:

24 horas÷ 24 automóviles tipo Sedan= 1 hora

24 horas÷ 16 camionetas tipo SUV= 1.5 horas

24 horas÷ 12 camionetas tipo VAN= 2 horas

24 horas÷  8 Camionetas tipo Pick-up= 3 horas

24 horas÷ 2 automóviles deportivos= 12 horas

El tiempo de fabricación para cada vehículo es:

Automóviles tipo Sedan= 1 hora

Camionetas tipo SUV= 1.5 horas

Camionetas tipo VAN= 2 horas

Camionetas tipo Pick-up= 3 horas

Automóviles deportivos= 12 horas

Answer:

B

Step-by-step explanation:

is this answer

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

Answer:

i don't know the answer today I say tomorrow

Answer:

7

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

just divide 24 by 6

a = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

If your solving for A, A=4

Step-by-step explanation:

Divide 6 on both sides

Answer:

17/24 pizza

7/8 of questions

7/10 of   the newspapers

dylan 1 1/4 miles sonia 1 1/10 miles

answer b

Step-by-step explanation:

Answer:

x + 5 + x + 5

5 + 5 + x + x

Step-by-step explanation:

Answer:

:

Step-by-step explanation:

2x+10

2x+5+5

............

Answer:

the possible line of best fit equation is;

y = 10x + 24

Step-by-step explanation:

Here, we want to get the approximate line of best fit

Mathematically, we have the general line of best fit as

y = mx + b

where m is the slope and b is the y-intercept

By joining the given lines, we can see that the y-intercept values fall a little below 30

This means that the possible y-intercept value is 24

Now, to get the slope value, we select any two points and use the slope equation

We can have (3,50) and (6,80)

Using the slope equation;

m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10

The equation is thus;

y = 10x + 24

Answer:

a. 2007

b. 120,000

c. the amount of money raised each year is decreasing

Step-by-step explanation:

sorry if im wrong just pay very close attention to the graph