If a 130 mile trip takes 2 hours, what was the speed?

How long does a 35 mile trip at 70 mph take?

Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

b and d

Step-by-step explanation:

Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

Your picture is black

Answer:   -12 - 3 = -15

Explanation:

We start at -12 which goes in the first box.

Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.

The arrow is pointing at -15 as the final destination, which goes in the final third box.

Answer:230

Step-by-step explanation:

5 x 23= 115

115 x 2= 230

Answer:

3:7

Step-by-step explanation:

hope it help you....

Answer:

2:7

Step-by-step explanation:

You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)

Answer:

Let the height of the larger box = h

and length and width of the larger box = l and w , repectively

Now , Let find the volume of the larger box

Volume = length * width * height

So Volume of the larger box = l*w*h = lwh

Now the question says

the height of the smaller box is 80% of the height of the larger box

It means

Height of the smaller box = 80% of h = 0.80*h = 0.80h

and the other two dimensions are same so it means length and width of the smaller box = l and w

so, Volume of the smaller box = l*w*0.80h = 0.80lwh

So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box

therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh

Step-by-step explanation:

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

Answer:

Step-by-step explanation:

A full circle has a circumference of 2*pi * r

r = 1

so Full Circle = 2 * PI

1/4 Circle = 2*pi / 4 = 1/2 pi

The length of the arc length = 1/2 pi

Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57

Answer:

C. -8

Step-by-step explanation:

We have to solve the inequality by isolating x.

-5x - 12 < 33

Add 12 to both sides.

-5x < 45

Divide both sides by -5 (remember to flip the sign when dividing by a negative).

x > -9

The least possible value for x that satisfies this inequality is -8.

Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

Answer:

778744

Step-by-step explanation:

387t98878989890

Answer:

1. 864 < 1512

2. 12 > 0

3. question 3 is wrong -2 = -2

4. -0.5 < 1

5. In the above operations, they did not effect the inequality sign because the same operation is being done to both sides, therefore the inequality sentences all remained true.

Step-by-step explanation:

1. (3)(4) < (7)(3)

(2)12 < 21(2)

(4)24 < 42(4)

(9)96 < 168(9)

= 864 < 1512

2. 3+11 > -2+3

3+ 13 > 1 + 3

-4+16 > 4-4

= 12 > 0

3. -2 = -2 (question 3 is wrong)

4. -4/-4 < 8/-4

1/-2 > -2/-2

= -0.5 < 1

Answer:

-17

Step-by-step explanation:

x - (-z)

Subtracting a negative is like adding

x+z

x = -4 and z = -13

-4 + -13

-17

Answer:

[tex]-17[/tex]

Step-by-step explanation:

Step 1:  Evaluate the expression

[tex]x - (-z)[/tex]

[tex]-4 - (-(-13))[/tex]

[tex]-4 - (13)[/tex]

[tex]-4 - 13[/tex]

[tex]-17[/tex]

Answer:  [tex]-17[/tex]

Answer:

Step-by-step explanation:

it is not a geometric sequence

Answer:

no

Step-by-step explanation:

Take the second  term and divide it by the first term

10/5 = 2

Take the third term and divide it by the second term

15/10 = 3/2

The ratio is not the same so it is not a geometric sequence

Answer:

They each spent 18.75.

Step-by-step explanation:

Divide 93.75 by 5.

Answer: um

Step-by-step explanation:

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

Answer:

-7 and 9!

Step-by-step explanation:

To get to the sum of 2 you add -7 and 9.

To get to the diffrence of -16 you minus -7 and 9.