A motorcycle travelled 302 km. It travels an average of 14.9 km on a litre of petrol. Without using a calculator, estimate the number of litres of petrol used.​

Answer:

190 pages

Step-by-step explanation:

To solve the # of pages he would read in 5 hours, let's first find the number of pages he reads in one hour.

Next, we multiply 38 by 5.

Therefore, the answer is 190 pages.

Answer:

190 pages

Step-by-step explanation:

Given the following question:

Erin read 76 pages in 2 hours...
How many pages would he have read in 5 hours?

In order to find the answer, we divide the number of pages he read in two hours by two. To find the number of pages he reads in 1 hour, then just multiply that answer by five.

[tex]2h=76p[/tex]
[tex]4h=76+76=152p[/tex]
[tex]76\div2=38[/tex]
[tex]152+38=190[/tex]
[tex]5h=190p[/tex]

In five hours, Erin would have read "190 pages" of his book.

Hope this helps.

Answer:

y = - 3x - 2

Step-by-step explanation:

The function is linear and can be expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table

m = [tex]\frac{1-4}{-1-(-2)}[/tex] = [tex]\frac{-3}{-1+2}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then

y = - 3x + c

To find c substitute any ordered pair into the equation

using (0, - 2 ) , then

- 2 = - 3(0) + c = 0 + c ⇒ c = - 2

y = - 3x - 2 ← function rule

Answer:

y = - 3x - 2

Step-by-step explanation:

Answer:

6.4% of the lights are faulty

Step-by-step explanation:

Well you can make a proportion out of this question.
so lets do faulty/total

16/250 = x/ 100

Since x/100 is basically finding the percent since percent means out of a hundred.

Cross multiply to solve.

250x= 1600

SOlve for x

X=6.4

6.4 percent of the lights are faulty.

Answer:

There is no way that 4/5 can equal a thing with 3 as a denominator

Step-by-step explanation:

4/5 is already simplified, but it does equal 8/10 or 12/15

Answer:

9600

Step-by-step explanation:

30% can also be written as 0.3 so 0.3×32000 is 9600. 9600 kilobytes have been downloaded so far

3(7x + 1)

3 . 7x = 21x

3.1 = 3

3(7x + 1 ) = 21x + 3

The equivalent expression with the fewest symbols possible is 21x+ 3.

The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.

we have,

3 x (7x+ 1)

By Distributive property we know

a x( b+ c) = a x b + a xc

ax (b-c) = a x b - a x c

So, 3 (7x + 1 )

= 3 (7x)+ 3(1)

= 21x + 3

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A linear function is a straight line formed on a coordinate plane.

To classify an equation as a linear function:

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

Option A - y = x³ + 1:

Option B - 5x/6 = y - 4:

Option C - y = 8x²

Option D - y = 1/5x

Hence, Option B is correct.

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Answer:

y= 35

x=55

Step-by-step explanation:

Answer:

30feet= 91.5 centimeters

The total of cm in the 1 yard based upon  30.5 centimeters in a foot will be 91.5 centimeters.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

In another word, multiplication is nothing but changing one value by-product of another value

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that

1 feet = 30.5 centimeters

Given that

1 yard = 3 feet

Hence 1 yard = 3 × 30.5 centimeter.

1 yard = 91.5 centimeters hence in 1 yard there will be 91.5 centimeters

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Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

Given to us

θ = 45°

We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.

In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.

[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]

Hence, the coterminal angle for angle 45° is (270°+45°).

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Answer:

c.45° + 270°

Step-by-step explanation:

Answer:

3500[tex]\pi[/tex] = 10995.57 in³ (nearest hundredth)

Step-by-step explanation:

area of a circle = [tex]\pi r^2[/tex]

⇒ area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]

⇒ area of a quarter circle = [tex]\frac{1}{4}\pi r^2[/tex]

total area = 5 circles + 10 semicircles + 100 quarter circles

⇒ total area = [tex]5\pi r^2 +(10\times \frac{1}{2}\pi r^2)+(100 \times \frac{1}{4}\pi r^2)[/tex]

⇒ total area = [tex]35\pi r^2[/tex]

If r = 10 inches

⇒ total area = [tex]35\pi \times 10^2=3500\pi =10995.57 \ \textsf{in}^2 \ \textsf{(nearest tenth)}[/tex]

Answer:

1.85 grams

Step-by-step explanation:

1 milligram is equal to 0.01 gram

so 1850 should be equal to 1.85 grams

Answer: 1.85 grams of potassium.

Step-by-step explanation: Since 1,000 milligrams is equal to 1 gram, you have to divide 1850 by 1000. The results will be 1.85.

Answer:

$395.97

Step-by-step explanation:

Answer:

Not the solution tp the system because the ordered pair should be true for both equations. However the last equation is not true.

Step-by-step explanation:

(-1,-2) is the solution of the system. x + y =-3 and 2x - y = -4*

x + y =-3 :

(-1)+ (-2) = -3

-1-2 =-2   -3=-3

2x - y = -4:

2(-1)-(-2)=-4

(-2) -(-2)= -4

0=-4

Answer:

Step-by-step explanation:

6. x + 21 = 56

→ x = 56 – 21

→ x = 35

7. n – 13 = 8

→ n = 8 + 13

→ n = 21

8. w – 7 =41

→ w = 41 + 7

→ w = 48

9. b + 22 = 89

→ b = 89 – 22

→ b = 67

10. z – 53 = 26

→ z = 26 + 53

→ z = 79

Answer:

6 in

Step-by-step explanation:

The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

let the third side of the triangle be x , then

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6x = 36 ( divide both sides by 6 )

x = 6

The third side of the triangle is 6 in

Hi there!

The solution to this system of equations is the point where the graphs of the equations intersect.

That point only will make both equations true.

So, where do these graphs meet?

First, look at the x-coordinate. It's -6.

Now, look at the y-coordinate. It's -2.

Thus, the answer is

(-6, -2)

Hope it helps!

Ask me if you have any doubts.

Enjoy your day!

~Misty~

Step-by-step explanation:

angles are bisected by diagonals in parallelogram

11x-2 = 28

11x = 30

x=30/11

Answer:

C. 4:7

Step-by-step explanation:

muffins 32

donuts 56

ratio of muffin to donut

= 32:56

= 16:28

= 8:14

= 4:7

Answer:

C. 4 to 7

Step-by-step explanation:

32:56

32÷8 = 4 and 56 ÷ 8 = 7

Smallest common factor is 8

Answer:

see below

Step-by-step explanation:

1. At least 2 points create a line
2. At least 3 points determine a plane
3. The intersection of two distinct planes is a line

3. The intersection of 2 coplanar lines is a point
5. A Plane can contain a line and a point not on the line

Answer:

8.69 m

Step-by-step explanation:

We have to use the Pythagorean theorem here

Statue is 3.4 tall, that's one leg of the right traingle

Braden is 8 meters away, that's the longer leg of the right triangle

the hypotenuse would be the distance between Braden's head and the top of the statue (let's assume it is X )

x^2 = 3.4^2 + 8^2 = 11.56 + 64 = 75.56

x = 8.69

Exponent properties help us to simplify the powers of expressions.  The quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).

[tex]{a^m} \cdot {a^n} = a^{(m+n)}\\\\\dfrac{a^m}{a^n} = a^{(m-n)}\\\\\sqrt[m]{a^n} = a^{\frac{n}{m}}\\\\(a^m)^n = a^{m\times n}\\\\(m\times n)^a = m^a\times n^a\\\\[/tex]

Given to us

[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex]

We will solve the problem using the basic exponential properties,

[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = \dfrac{6}{\sqrt[3]{9}} - \dfrac{3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = (6\cdot 3^{-\frac{2}{3}}) - [3 \cdot (2 \cdot 3)^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\= (2 \cdot 3 \cdot 3^{-\frac{2}{3}}) - [3 \cdot 2^{-\frac{2}{3}} \cdot 3^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\[/tex]

[tex]= [2 \cdot 3^{(1-\frac{2}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(1+\frac{1}{3} - \frac{2}{3})}]\\\\= [2 \cdot 3^{(\frac{1}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(\frac{2}{3})}]\\\\= 2\sqrt[3]{3} - \sqrt[3]{2}\sqrt[3]{9}\\\\=2\sqrt[3]{3} - \sqrt[3]{18}[/tex]

Hence, the quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).

Learn more about Exponents:

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Answer:

A

Step-by-step explanation:

ansawer k lol

Answer:

Sometimes

Step-by-step explanation:

FBI agents use them I think

Number 1

________________

Supplementary - either of two angles whose sum is 180°.

Complementary - either of two angles whose sum is 90°.

________________

Since we know that supplementary angles are angles that add up to 180° we can make an equation

________________

[tex]65+x=180\\x=115[/tex]

________________

Number 2

Since we know that complementary angles are angles that add up to 90° we can make an equation

________________

[tex]65+x=90\\x=25[/tex]

________________

[tex]{\huge{\boxed{\mathfrak{Answer}}[/tex]