Mathematics College

Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how
many miles he drove and trips he made to San Diego.

Answers

Answer 1

Example Answer:

You could represent a round trip to Los Angeles with the variable: x

You could represent the number of miles in a round trip to Los Angeles with the variable: a

You could represent a round trip to San Diego with the variable: y

You could represent the number of miles in a round trip to San Diego with the variable: b

your equation would be: xa + yb

Factoring in what we know, the example equation would be:

5a + yb

Related Questions

PLS HELP I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!

In the following lattice bridge, AABC - AECD. The ratio of the
lengths of the corresponding sides in AABC to AECD is 3:4. If
AB=9 meters, what is EC?

- A) 6 m
- B) 9 m
- C) 12 m
- D) 15 m

Answers

Answer:

C or D

dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c

It’s B I’m not sue we

so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?

Answers

Answer:

She would have 16

Step-by-step explanation:

10-2=8

8+8=16

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?

Answers

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

IF a= 6 and b= 7, then 4a(3b+5) + 2b =?

Answers

Answer:

Step-by-step explanation:

4a(3b+5)+2b

Substitution

4(6)[3(7)+5]+2(7)

Order of operations (PEMDAS)

4(6)[21+5]+2(7)

4(6)+26+2(7)

24+26+14

50+14

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

The answer is 64 I think

Find any points of discontinuity for y = 5x+6/x2+6x+9

Answers

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how much did mattew spend on the desk

Answers

Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

sales tax= 8/100 x 264=21.12

total money spent = 264+21.12=285.12

45% of 480

= 45/100 x 480

= 0.45x480

=216

=480-216

=264

8% of 264

= 8/100 x 264

= 0.08 x 264

= 21.12

= 264 + 21.12

=285.12

Therefore, he paid $285 and 12 cents

Could someone help bc I don’t know

Answers

Answer:

A. 56 is greater than 37

B. -1 is less than 2

C. -5 is less than 0

D. -4 is greater than -5

E. -6.0 is equal to -6

Step-by-step explanation:

These are the answers because:

1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.

Hope this helps! :D

Given m||n, find the value of x.
+
(8x-4)º
(6x-12)

Answers

Answer:

x = 14

Step-by-step explanation:

(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)

6x - 12 + 8x - 4 = 180

Add like terms

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Answers

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

I can't figure this out
Please help!!

Answers

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.1%

Step-by-step explanation:

divide his electricty payment by his monthly pay

help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution

Answers

Answer:

C. the equation has one extraneous solution

Step-by-step explanation:

Given equation:

x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

x =-2 is the right answer.

C. the equation has one extraneous solution.

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

how do you find the area of this problem

Answers

Answer: 240

Step-by-step explanation:

You would multiply each of the sides to get the final answer of 240 (:

Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.

Answers

Answer

B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]

Step-by-step explanation:

Just took the test and D was wrong.

find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.

Answers

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

Sheila walked 7.7 km to the library.

Using the table above, about how many miles did she walk?

Answers

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?

Answers

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

-3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

-3x +7y = 14 . . . . given relation

-3y +7x = 14 . . . . inverse relation

Passes through (-4, -3), slope = -2.

Answers

9514 1404 393

Answer:

y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For your given point and slope, this is ...

y -(-3) = -2(x -(-4))

y +3 = -2(x +4)

What is the domain and range for the function graphed below

Answers

Answer:

Step-by-step explanation:

if you look, the x values will go on forever, however in the y value, the lowest value is -6, but the y values afterwards are infinite

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

4(2x - 5)+ 5(3x - 7)

Answers

Answer:

=23x−55

Step-by-step explanation:

Let's simplify step-by-step.

4(2x−5)+5(3x−7)

Distribute:

=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)

=8x+−20+15x+−35

Combine Like Terms:

=8x+−20+15x+−35

=(8x+15x)+(−20+−35)

=23x+−55

Answer:

22x-55

pemdas works too i guess

(2a^-2)(3a^3b^2)(c^-2)

Answers

Answer:

Step-by-step explanation:

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation: