On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday?

A. 4 MPH
B. 11 MPH
C. 15 MPH
D. 16 MPH

Answer:

7x+10

Step-by-step explanation:

use distributive property on 5(x+2)

your expression is now 5x+10+2x

Combine like terms so now your answer is 7x+10

Hope this helps

Step-by-step explanation:

The circumference of a circle is given by :

C=2πr, r is the radius of the circle

Also, 2r = D, diameter of the circle

⇒ C = πD

If the diameter of a circle is multiplied by 10, it means,

C = π(10)

⇒ C = 10π

Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]

[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]

[tex]AC \times sin(45) = 9 \times sin(75)[/tex]

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]

Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]

 Area of the triangle ABC = 47.81 sq. unit

Answer:

A and B are the correct answers

The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.

The perimeter of a rectangular room is 60 feet.

The perimeter of a rectangle is given by,

P = 2 ( Length + Breadth)

Let x be the width of the room  (in feet).

Let y be the length of the room (in feet).

Substituting the values in the formula to get the equation.

60 = 2 ( x +y)

2 ( x +y) = 60 ---------- (1)

2x +2y = 60 ------------(2)

Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.

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Answer:

x=96

Step-by-step explanation:

Answer:

-6 = b/18

-6×18=b

-108 = b ans.

and

v-15- = -27

v = -27 +15

v = -12 ans.

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Hope this answer helps you....

I accidently answered this I'm sorry!!  Is there a way 2 delete my answer?

Answer: yes

Step-by-step explanation:

Answer:

Hi there

Your answer is

41/42

Step-by-step explanation:

To add these, they need to have the same denominator.

1/7 * 6/6 = 6/42

5/6 * 7/7 = 35/42

6/42 + 35/42

=

41/42

Answer:

The answer is, C. Zero because it is neither positive or negative

Answer:

Zero Hope this helps!

Answer:

Mr. McDonald's class raised $6,000 dollars.

Step-by-step explanation:

So they're are 25 students in the class and they each sold 16 raffle tickets. The easiest way to do this problem is to first find the amount of raffle tickets sold and then multiply that by 15. You could also just do 25*16*15 but that doesn't make much sense just thinking about it. So the first operation we have to do is 25*16 because multiplication is repeated addition so we're basically doing 16+16 25 times to see how much raffle tickets were sold. So that is 400 and then we multiply by 15 because each ticket sold for 15 dollars so if we sold 400 raffle tickets for 15 dollars each, again multiplication is repeated addition so we do 15+15 400 times which is 400*15=6,000. So Mr.McDonald's class raised $6,000 dollars.

Answer:

C. x=5/2

Step-by-step explanation:

-2x+10x=34-14

(8x=20 ) /:8

x=5/2

Answer:

x = 15

y = 19

Step-by-step explanation:

(5x-5) = (4x+10) reason[ being corresponding angle]

or, 5x-4x = 10+5

or, x = 15.

Similarly,

(5x-5)+(6y-4) = 180 reason[being supplementary angle]

putting the value of x in the equation, so

or, (5*15 -5)+(6y-4) = 180

or, 75-5+6y-4 = 180

or, 66+6y = 180

or, y = 30-11

or, y = 19.

Answer: 44 Cupcakes, She can make 8 cupcakes per hour and 4 cupcakes every half-hour. 24/3=8

Answer:

Answer: 44 Cupcakes, She can make 8 cupcakes per hour and 4 cupcakes every half-hour. 24/3=8

Step-by-step explanation:   bleep

Answer:

the decimal representation of 1/3 = 0.3333333...  becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely.

plz mark brainliest

Answer:

y=5

Step-by-step explanation:

if u simplify it u get

3y=15

then u divide it and u get

y=5

Answer:

over one to the right, up six

The reflection of the point (1,6) across the x-axis is (1,-6).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that the coordinate is (1,6). The reflection of the coordinates across the x-axis will be,

R(x₁ , y₁) ⇒ R(x₁,-y₁)

R(1,6) ⇒ R( 1,-6)

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Answer:

f(x) = 17/2 or 8.5

Step-by-step explanation:

f ( x ) = 10-9/2x

By substituting the values,

f (x) = 10 - 9/2(-1/3)

= 10-3/2 = 17/2= 8.5

Answer:

W = 1.8 kg

Step-by-step explanation:

Zoé bought 3 cheeses, 3/5 each. How many Kilograms of cheese does he have in total?

Weight of each cheese is 3/5 kg. Zoe bought 3 cheeses. We need to find the weight of cheese in total.

To find weight of 3 cheeses, we will multiply 3 by 3/5 such that:

[tex]W=3\times \dfrac{3}{5}\\\\W=1.8\ kg[/tex]

So, the weight of cheese in total is 1.8 kg.

Step-by-step explanation:

-5/8 + 3/4

= -5/8 + 6/8

=1/8

Answer:

Answer:

A slope is corect

Step-by-step explanation:

Answer:

Slope

Step-by-step explanation:

Khan told me :)

Answer:

coefficient

Step-by-step explanation:

Answer:

There is no constant slope. I hope this helps!

Answer:

-3

Step-by-step explanation:

You can use the slop formula--

22-1 divided by 8-1 = 21/7 = 3

You can check by using any other two points and see if you get the same answer.

Hope this helps!

Answer:

She can hike 24 miles in 12 hours. Have a nice day. :)

Step-by-step explanation:

Answer:

Step-by-step explanation: Im confised. so sorry