A person drove 30 miles per hour on a trip. If he had driven 40 miles per hour, he would have arrived 4 hours earlier. What was the distance the person drove?​

Answers

Answer 1
30 miles/hour * x hours= 40 miles/hour * (x-4) hours
Distribute the 40, so you get
30x=40x-160
Subtract 40x from both sides
-10x=-160
Divide both sides by -10
x=16
They drove 16 miles

Related Questions

Match each expression in the top row with an equivalent expression in the bottom row.

Answers

Answer:

Step-by-step explanation:

Let's say :

|1|2|3|4|

|a|b|c|d|

so it would be:

1.b) 2.d) 3.c) 4.a)

[tex]2\sqrt{3x^{2} y}[/tex] = [tex]x\sqrt{12y}[/tex],  [tex]2x\sqrt{6xy^{2} }[/tex] =  [tex]y\sqrt{24x^{3} }[/tex],  [tex]2y\sqrt{2x^{4} }[/tex] =  [tex]x^{2} \sqrt{8y^{2} }[/tex],  [tex]3x^{2} \sqrt{2y^{4} }[/tex] =  [tex]xy\sqrt{18x^{2} y^{2} }[/tex]

What is an expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given expression

(i) [tex]2\sqrt{3x^{2} y}[/tex]

= [tex]2x\sqrt{3y}[/tex]

= [tex]x\sqrt{12y}[/tex]

(ii) [tex]2x\sqrt{6xy^{2} }[/tex]

=  [tex]2xy\sqrt{6x}[/tex]

= [tex]y\sqrt{24x^{3} }[/tex]

(iii) [tex]2y\sqrt{2x^{4} }[/tex]

= [tex]2x^{2} y\sqrt{2}[/tex]

= [tex]x^{2} \sqrt{8y^{2} }[/tex]

(iv) [tex]3x^{2} \sqrt{2y^{4} }[/tex]

= [tex]3x^{2}y^{2} \sqrt{2}[/tex]

= [tex]xy\sqrt{18x^{2} y^{2} }[/tex]

Hence, [tex]2\sqrt{3x^{2} y}[/tex] = [tex]x\sqrt{12y}[/tex],  [tex]2x\sqrt{6xy^{2} }[/tex] =  [tex]y\sqrt{24x^{3} }[/tex],  [tex]2y\sqrt{2x^{4} }[/tex] =  [tex]x^{2} \sqrt{8y^{2} }[/tex],  [tex]3x^{2} \sqrt{2y^{4} }[/tex] =  [tex]xy\sqrt{18x^{2} y^{2} }[/tex]

Learn more about expression here

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The ratios 3/5 and 15/30 are written on the whiteboard. Are the ratios equal?

Answers

Answer:

No

Step-by-step explanation:

to change the denomiator from 5 to 30 you have to multiply by 6

if you multiply the denominater by 6, you also have to multiply the numerator by 6

so, [tex]\frac{3}{5}=\frac{18}{30}[/tex][tex]\frac{18}{30}\neq \frac{15}{30}[/tex]

what is the answer in ft
(no link)

Answers

Answer:

22

Step-by-step explanation:

add them all together

A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.



Which estimate is closest to the volume of cubic millimeters of the part?

A. 108
B. 217
C. 440
D. 880

Answers

1. 108

V= 1/2xhxbxl
=1/2x1.6x12.6x10.75
=108.36
~108

simplify the polynomial then finds its value for the given value of the variable 3x^3-x^3+5x^3-9x^3 if x=-1

Answers

Answer: 2

Step-by-step explanation:

3•(-1)^3 - (-1)^3 + 5•(-1)^3 - 9•(-1)^3

3•(-1) - (-1) + 5•(-1) - 9•(-1)

-3 +1 -5 +9= 2

Need help don’t know how to solve for x

Answers

Answer:

x=15

Step-by-step explanation:

They are VERTICLE ANGLES meaning 125degrees = to the equation on the right.

(5x+30)=125

5x=85

x=15

Which of the following pairs of equations have the same solution set? Select all that apply.

MULTIPLY ANSWERS + answer asap!

Answers

Answer:

C and E

Step-by-step explanation:

Simplify the expression:
7g+1x+3t

Answers

Answer:

7g+3t+x

Step-by-step explanation:

You really don't have to do anything to this equation because each number in this equation has a variable, but since 1x is just x you can remove the 1 and you new equation becomes:

7g+3t+x

Answer:

7g+x+3t

Step-by-step explanation:

All you do is remove the 1 because x and 1 are the same

40
28
60
42
A. AA-
B. SSS-
C. SAS-
D. Not Similar
I need help I can’t figure this out

Answers

Answer:

I know this might not be a solid answer but its out of B or C but most likely B because they are all on the side of the triangle so pretty much B

your class agreed to have a fundraising for the upcoming christmas party on amount of 4 pesos will be paid for the first day and will increase by one peso for each following day based on the project based on the projected budget needed each of you in the class should have 165 pesos at the end find the maximum number of days by which you can complete paying they 165 pesos​

Answers

Answer:

what're we ok with me if it's ok to you zoo lights and d and d and how old are you and

Condense the expression log 2x + log(x² - 9) - log x +3

Answers

Here the my solutions,hope you understand

jenny is a 60 percent free-throw shooter She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points( if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points ( she makes both shots.)


Assuming that the probability for each shot is independent, what number of points is Jenny most likely to make?

Assuming that the probability for each shot is independent,how many points on average, can jenny expect to make when she shoots a one-and-one (when she only gets a second shot if she makes the first)?

suppose jenny gains confidence after making her first free throw and the probability of her making the second free throw goes up to 70%. now, what number of points is jenny most likely to make when she shoots a one-and-one?

Answers

Answer:

I can't help I don't get this answer at all

What has a better value .3 or .26

Answers

0.26 is the better and more accurate value as it has a more decimal point. However, if the question were to ask you to round to the nearest tenths, then 0.3 would be the better answer

Answer: 0.30 is > than 0.26 if that’s what you mean?

Step-by-step explanation:

0.3 can be written as 0.30

What are two forms an employee is required to fill out at the beginning of the employment process?
A. W2 and 1040
B. W2 and 19
C W2 and W4
D. W4 and 19

Answers

Answer:

A. W2 and 1040 to begin a job.

Answer: B.) W-4 and I9

Hope this helps :)

Solve for x and y. PLEASE HELP!! WILL MARK BRAINLIEST!!

Answers

Answer:

[tex]x=\sqrt{40}, y=\sqrt{104}[/tex]

Step-by-step explanation:

Note the triangle formed by x, y, and 8 is similar to the largest triangle

so x : c = 8 : y = y : 13, where c is the rightmost vertical length, c² = x² + 5²

From 8 : y = y : 13, we get
y² = 13*8 = 104, so

[tex]y=\sqrt{104}[/tex]

From x : c = 8 : y, we have xy = 8c

x²y² = 64c²

104x² = 64(25 + x²)

104x² = 1600 + 64x²

40x² = 1600

x² = 40

[tex]x=\sqrt{40}[/tex]

5 8/9 - 2 5/7

A 11/63

B 3 3/7

C 3 11/63

D 4 1/2

Answers

Answer: c

Step-by-step explanation:

Answer:

C [tex]3\frac{11}{63}[/tex]

Step-by-step explanation:

[tex]5\frac{8}{9} -2 \frac{5}{7}[/tex]

= [tex]\frac{53}{9} - 2\frac{5}{7}[/tex]

= [tex]\frac{53}{9} - \frac{19}{7}[/tex]

= [tex]\frac{200}{63}[/tex]

= [tex]3\frac{11}{63}[/tex]

pls branliest

put yes or no if the number 4 will make each equation true

Answers

Answer:

1 - NO = 0.25

2 - NO = 5\4

3 - YES

4 - YES

1 and 2 are no 3&4 are yes

A cylinder has a cross-section circumference of 56cm. The height of the cylinder is 3.2cm. Calculate the volume and surface area of the cylinder.

Answers

Answer:

volume = 798.58 cm³ (nearest hundredth)

surface area = 678.31 cm³ (nearest hundredth)

Step-by-step explanation:

Volume of a cylinder:   [tex]V=\pi r^2h[/tex]

Surface area of a cylinder:   [tex]SA=2\pi r^2+2\pi rh[/tex]

Circumference:  [tex]C=2\pi r[/tex]

(where r is the radius and h is the height)

Given circumference = 56

⇒ [tex]56 = 2\pi r[/tex]

⇒ [tex]r=\dfrac{56}{2\pi }=\dfrac{28}{\pi }[/tex]

[tex]V=\pi \left(\dfrac{28}{\pi}\right)^2 \times3.2=\dfrac{2508.8}{\pi}=798.58 \textsf{ cm}^3 \textsf{ (nearest hundredth)}[/tex]

[tex]SA=2\pi \left(\dfrac{28}{\pi}\right)^2+56 \times3.2=\dfrac{1568}{\pi}+179.2=678.31 \textsf{ cm}^3 \textsf{ (nearest hundredth)}[/tex]

In a choose. Cross of choose. Pea plants with round (r) yellow (y) seeds, there will be a choose. Ratio of 9 choose. , 3 choose. , 3 choose. , and 1 choose. .

Answers

The pea plants and the yellow seeds are illustrations of genotype ration

The complete statement is: In a monotype cross of heterozygous pea plants with round (R) yellow (Y) seeds, there will be a ratio of 9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow

How to determine each ratio of the genotype

To determine the count, we make use of the following representations

Round and Yellow -> RRYYRound and not yellow -> RRyyNot round and yellow -> rrYYNot round and not yellow -> rryy

From the complete question, we have:

Round and Yellow (RRYY) = 9Round and not yellow (RRyy) = 3Not round and yellow (rrYY) = 3Not round and not yellow (rryy) = 1

Hence, the complete statement is:

9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow

Learn more about genotype ration at:

https://brainly.com/question/14795897

The product of 7 and j is 91. What is j?

Answers

Answer:

13

Step-by-step explanation:

[tex]7j = 91[/tex]

Dividing both sides by 7, we have

[tex]j = 13[/tex]

Answer:

84

Step-by-step explanation:

just add 84 to 7 and you will get 91.

a taxi charges $2 per mile. there is also a $3 callout charge. how is distance related to cost. can you write an equation?​

Answers

Answer:

y= 3$ + x km * 2$

Step-by-step explanation:

since the callout price is 3$ you are gonna pay at least this much.. and then for every km/mile you will pay 2$.

What is 20% of 59,000

Answers

Answer:

11800

Step-by-step explanation:

hope this helps

solve for x.

2x + 4
4x - 88

Answers

Answer:

x=+46

Step-by-step explanation:

2x+4=4x-88

We move all terms to the left:

2x+4-(4x-88)=0

We get rid of parentheses

2x-4x+88+4=0

We add all the numbers together, and all the variables

-2x+92=0

We move all terms containing x to the left, all other terms to the right

-2x=-92

x=-92/-2

x=+46

could you answer the question number b​

Answers

Answer:

450 - 120 - 80

=250

2/5 × 250 = 100. A

3/5 × 250 = 120 B

Answer:

Grade A   2:9

Grade B   1:3

Grade C  4:15

Step-by-step explanation:

Students in grade A:

[tex]450-(120+80)=450-200=250[/tex]

if the ratio is 2:3 then

[tex]A=(250/5)(2)=(50)(2)=100[/tex] students

The ratio of students with grade A:

[tex]\frac{100}{450}=\frac{10}{45} =\frac{2}{9}[/tex]

= [tex]2:9[/tex]

Students with grade B.

[tex]B=250-100=150[/tex]

The ratio of B:

[tex]\frac{150}{450} =\frac{15}{45} =\frac{1}{3}[/tex]

[tex]= 1:3[/tex]

Ratio of students with grade C:

[tex]=\frac{120}{450} =\frac{12}{45} =\frac{4}{15}[/tex]

[tex]=4:15[/tex]

Hope this helps

Write an equation of the line that passes through the point (–7, –9) with slope –4.

Answers

Answer:

D. y + 9 = -4( x + 7 )

slope -4

y-intercept (0,-37)

-

(-7 , -9 ) - slope -4

by using slop-intercept form

y = -4x - 37

Add 9 to me. then multiply by 3. if you subtract 16 and then add 7, you get 27 what number am I?

Answers

Answer:

3

Step-by-step explanation:
Just do inverse:

27-7=20

20+16=36

36÷3=12

12-9=3
To check:

3+9=12

12×3=36

36-16=20

20+7=27

Answer:

It should be 3.

Step-by-step explanation:

27-7=20+16=36÷3=12-9=3

please help me it's due tomorrow

Answers

Answer:

Uhm uhm i think its 10

Step-by-step explanation:

because 25% of 40 is 10

Sorry if wrong :,D

Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard rock.

Part A: How many teenagers surveyed like hard rock? Show your work. (4 points)

Part B: In another survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian surveyed? Show your work. (4 points)

Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points) i need help on part B.

Answers

Answer:

In explanation

Step-by-step explanation:

272 for part A because say you took a test out of 850 and you got a total of 272 of them right then you would of gotten a 32%

200 for 2 because if 75% of them liked pop music and 150 teenagers what the number of teenagers surveyed then that means 200 of them were surveyed because 150 out of 200 is 75%

I don't know the last one because if you had anything there only could get a 100%(im sorry for this one it's a little confusing.

Hope this helps have a great afternoon:)

True or false: (a) If A2 is defined then A is necessarily square. (b) If AB and BA are defined then A and Bare square. (c) If AB and BA are defined then AB and BA are square. (d) If AB

Answers

(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.

(b) False. As an example, consider the matrices

[tex]A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}[/tex]

[tex]B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}[/tex]

Then both AB and BA are defined, with

[tex]AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}[/tex]

[tex]BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}[/tex]

In general, you can multiply any m×n by any n×m matrix.

(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.

If B=w +9w- and A=3- 10w, find an expression that equals B - A in
standard form.

Answers

Answer:

9 w2 + 11 w - 3

Step-by-step explanation:

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