A police car drives at a constant speed of 108 km/h. How long will it take to travel a distance of
378 kilometers?

Answer:

look in step by step

Step-by-step explanation:

12, 15, 18, 21, 24, 27, 30, 33, etc.

you are increasing by 3

18, 24, 30, 36, 42, 48, 54, 60, 66, 72

you are increasing by 6

5, 9, 13, 17, 21, 25, 29, 33, 37

you are increasing by 4

32, 16, 8...    4, 2, 1

you are decreasing by half

Answer:

A, 12,15    B, 15,21    C, 5,17    D, 32,16

Step-by-step explanation:

for A the rule is count by 3s

for B the rule is add 3 but skip every 2nd number

for C the rule is add is add 4

for D the rule is divide 2

hope this helps :)

- by chance may I get brainliest

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3x+34=35[/tex]

Subtract 34 from 35 to isolate the variable

[tex]3x=1[/tex]

Divide 1 by 3

[tex]1/3= \frac{1}{3}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Hope this helps

Answer:

160

Step-by-step explanation:

We have, 15% × x = 24

or,

15

100

× x = 24

Multiplying both sides by 100 and dividing both sides by 15,

we have x = 24 ×

100

15

x = 160

If you are using a calculator, simply enter 24×100÷15, which will give you the answer.

Answer:

C) 160

Step-by-step explanation:

Let the number be x

15% of x = 15/100 * x

15/100 * x = 24

x = 24*100 / 15

x = 160

Answer:

-33/56

Step-by-step explanation:

suppose: A,B are the 2 angles of a triangle

we have: A = arcsin[tex]\frac{-4}{5}[/tex]

               B = arctan [tex]\frac{5}{12}[/tex]

=> sin A = [tex]\frac{-4}{5}[/tex] => cos A = [tex]\sqrt{1-\frac{(-4)^{2} }{5^{2} } } =\frac{3}{5}[/tex] (because A is in quadrant IV)

    tan B = [tex]\frac{5}{12}[/tex]

have:

[tex]1+ cot^{2}B=\frac{1}{sin^{2}B } => 1+\frac{1}{tan^{2} B}=\frac{1}{sin^{2}B } \\=> 1+\frac{1}{\frac{5^{2} }{12^{2} } } =\frac{1}{sin^{2}B }\\ => sin^{2}B=\frac{25}{169}[/tex]

because B is in quadrant III => [tex]sin B=-\sqrt{\frac{25}{169} }=\frac{-5}{13}=>cosB=-\sqrt{1-\frac{5^{2} }{13^{2} } }=\frac{-12}{13}[/tex]

tan(arcsin(-4/5)+arctan(5/12)) = tan( A + B)

but A,B are the 2 angles of a triangle => tan(A + B) = [tex]\frac{sin(A+B)}{cos(A+B)}[/tex]

have: sin(A+B) = sinA.cosB + cosA.sinB = [tex]\frac{-4}{5}.\frac{-12}{13} +\frac{3}{5}.\frac{-5}{13}=\frac{33}{65}[/tex]

cos(A + B) = cosA.cosB - sinA.sinB =[tex]\frac{3}{5}.\frac{-12}{13}-\frac{-4}{5}.\frac{-5}{13}=\frac{-56}{65}[/tex]

=> tan(A + B) = [tex]\frac{33}{65}:\frac{-56}{65}=\frac{-33}{56}[/tex]

Answer:

pie/6

Explaniation:

just took the test on k12

Answer:

a

Step-by-step explanation:

Answer:

a and 240 hr

Step-by-step explanation:

n

Answer:

here's an example to help you out man Let n = how much each new member must pay each month.

$160 - $28 = $132

n = $132 ÷ 12 months in a year

n = $11

You can also look at it this way:

n = (160 - 28)/12

Answer:

x=24

Step-by-step explanation:

you reduce the numbers making it 1/7 multiplied by 7x = 24, x will end up being 24

Answer:

[tex]h(f(x)) = 18x -22[/tex]

Step-by-step explanation:

Given

f (x) = [tex](3x-5)^3[/tex]

[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]

We are to find the composite function [tex]h(f(x))[/tex]

[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]

To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:

[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]

Answer:

8 action films

Step-by-step explanation:

A movie theater has 24 screens. The ratio of actions films to other films currently showing on all of the screens is 1:2.

Action films : Other films

1 : 2

The total fraction = 1 + 2 = 3

How many action films are currently showing?

This is calculated as:

1/3 × 24 screens

= 8 screens

Therefore, 8 action films are currently showing

Answer:

30

Step-by-step explanation:

abc+cbd=105

abc=75

cbd=30

Answer:

105-75=30

Step-by-step explanation:

Answer:

y = -2x + 52,672

Step-by-step explanation:

Slope intercept form is the same as y intercept form: y = mx + b.

The m is the slope and the b is the y intercept.

Answer: I think it's D.

Step-by-step explanation:

I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.

Both functions are increasing, but function g increases at a faster average rate.

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume [tex]f(x)=ab^x+c[/tex]

at x=0, f(0)=-10

So, [tex]-10=a+c[/tex]

Similarly, by satisfying the above table in the f(x)

[tex]f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}[/tex]

[tex]f'(x) > 0[/tex]

So we can say that f(x) is an increasing function.

[tex]g(x)=-18(\frac{1}{3} )^x+2[/tex]

[tex]g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]

[tex]ln\frac{1}{3} < 0[/tex]

So, [tex]g'(x) > 0[/tex]

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) [tex]g'(x) > f'(x)[/tex]

So, g increases at a faster average rate

Thus,  Both functions are increasing, but function g increases at a faster average rate.

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Answer:

negative

Step-by-step explanation:

Responder:

2 canciones

Explicación paso a paso:

Si la cantidad de canciones compuestas en 15 días es de 6 canciones, si Anderson se une a ellos para ayudar durante 5 días, el número total de canciones que producirán en 5 días se calculará como se muestra:

15 días = 6 canciones

5 días = x canciones

Cruz multiplicar

15 días * x = 5 días * 6 canciones

15 veces = 30

Dividir entre 15

15 veces / 15 = 30/15

x = 2

Por lo tanto, compondrán 2 canciones si Anderson les ayuda durante 5 días.

Answer:

Step-by-step explanation:

Absolute of a number is the positive value of such number. for example, the absolute value of -7 is 7.

If Yasmine finds the absolute value of -655, then her equivalent value must return a positive answer.

The expression that gives a positive values of -655 is:

1) 0-(-655) = +655

Note that the product of two negative sign will result in a positive sign

Answer:

0 minus (negative 655)

Step-by-step explanation:

Answer:

D. y = (3/4)x + 10

Step-by-step explanation:

since it has to be in a formula of y = mx + b, it can't be a or b

y - 4 = 3/4 (x + 8)

y - 4 = (3/4)x + 6

y = (3/4)x + 10

Answer:

i will figure it out give me a sec ;-;

Step-by-step explanation:

Answer:

182 hours

Step-by-step explanation:

In this scenario, the total would be $1600 which is the maximum amount that can be wasted. The only variable in this scenario is the number of hours that the cashier can work. Therefore we can use the following formula to calculate the maximum number of hours the cashier can actually work (h) before going over the total limit.

8.75h = 1600 ... divide each side by 8.75

h = 182.85

Therefore, we see that the total amount of hours equals 182.85 but since we are counting hours then the answer would be 182 hours because if the cashiers work 183 hours there won't be enough money budgeted to pay them.

Answer:

Vertical stretch of 4

Vertical translation of 2 units down

Step-by-step explanation:

Since f(x)=2x is the base function, g(x) = 8x - 2 shows an "a" value which has been multiplied by 4 and a "c" value which shows a vertical translation of -2.

Answer:

Equation is y = 1/2x + 1

Step-by-step explanation:

First off we know the slope, it is 1/2, so that is done already. Now we just need the y-intercept. In order to cross (4, 3), in needs to have a y-intercept of 1. So the equation is y = 1/2x + 1. I hope this helps, and I hope it's not wrong, but I don't think it is.

Answer:

Step-by-step explanation:

given data

let the number of year be x

le the total cost b y

for the older car

cost of repair $1200

cost of gas  $2,000.00  per year

the cost for using the old car is

y=1200+2000x-----------1

for the new car

cost of $4500

cost of gas  $1,500.00 per year

y=4500+1500x-----------2

equating 1 and 2 we have

1200+2000x=4500+1500x

solving for x

1200-4500=1500x-2000x

-3300=-500x

x=3300/500

x=6.6

The number of years is 6 years 6 months

Answer:

hi

Step-by-step explanation:

Answer:

29 and 18

Step-by-step explanation:

If when they say terms they mean numbers then in the first sequence it would be 29 terms and the second sequence would be 18 terms.

Answer:

1) 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128

2) 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115

Step-by-step explanation:

1) Take 20-16 which gives you 4. Keep adding 4 until you get 128.

2) Count by 5 until 115

Answer:

Thank you ☺️☺️☺️

The ratio equivalent to 4:3 is 12:9

Given:

Ratio = 4:3

To Find:

The ratio equivalent to 4:3

The given number which is in ratio is its simplest form.

Therefore in order to make it expanded form,First convert the given ratio into the fraction for its Multiplication.

Step 1: Convert to fraction

4:3 = 4/3

Step 2: Multiple the numerator and denominator of fraction by 3

4/3×3/3 = 12/9

Step 3: Convert the fraction into a ratio

12/9 = 12:9

Hence,the ratio equivalent to 4:3 is 12:9.

Option C. is correct

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Answer:

Photo 1: x=5 y=-2

Photo 2: x=11/5 y=4

Step-by-step explanation:

Photo 1-

2x + 3y = 4

              x = 2 − 3/2y

              y = 4/3 - 2/3x

2x + 3y = 4

              x = 2 - 3/2y

              y = 4/3 - 2/3x

Photo 2-

5x + 3y = 23

              x = 2 − 3/2y

              y = 4/3 − 2/3x

3y = 15x - 21

              x = y/5 + 7/5

              y = 5x − 7