1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon? 2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas? 3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?

Answers

Answer 1

Answer:

1. $3.85 per gallon

2. $1.59

3. 7/12

Step-by-step explanation:

1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:

46.20 / 12 = $3.85 per gallon

The price per gallon is $3.85

2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:

1.2 * 1.29 = $1.59

3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:

1/4 + 1/3 = 7/12

They ate 7/12 of the pizza


Related Questions

suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Answers

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

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ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.

Answers

Answer: .98 feet

Step-by-step explanation: Took the test

Answer:

.98

Step-by-step explanation:

i took the quiz

help!!! an experiment consists of randomly choosing a colored card from a box. use the results in the table to find the experimental probability of each event. simplify all answers. red : 7, yellow: 12, orange: 8, white: 13

Answers

Answer:

chance of:

red 7/40 = 17.5%

yellow 3/10 = 30%

orange 1/5 = 20%

white = 13/40 = 32.5%

Step-by-step explanation:

7+12+8+13 = 40 total cards

7 red/ 40 possible

12 yellow/40 possible = 3/10

8 orange/40 possible = 1/5

13 white/40possible

Using it's concept, it is found that the experimental probability of each outcome is given by:

Red: 0.175 = 17.5%.Yellow: 0.3 = 30%.Orange: 0.2 = 20%.White: 0.325 = 32.5%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers are taken from previous outcomes.

In this problem, there are 40 cards.

7 are red, hence P(red) = 7/40 = 0.175 = 17.5%.12 are yellow, hence P(yellow) = 12/40 = 0.3 = 30%.8 are orange, hence P(orange) = 8/40 = 0.2 = 20%.13 are white, hence P(white) = 13/40 = 0.325 = 32.5%.

More can be learned about probabilities at https://brainly.com/question/14398287

The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x

Answers

Answer:

x=8 and y=2

Step-by-step explanation:

x+y=10

x=4y

x+y=10

4y+y=10

5y=10(divide both sides by 5)

y=2

x=4y=4*2=8

Answer:

2 and 8.

Step-by-step explanation:

y = -x + 10

y = 4x

If we subtract we eliminate y:

0 = -x + 10 - 4x

0 = -5x + 10

5x = 10

x = 2.

and y = 4 * 2 = 8.

please help for brainliest answer

Answers

Answer:

a) An event with probability 0 is said to be impossible

b) An event with probability 1 is said to be certain

c) The probability of getting a head when flipping an unbiased coin is shown by the letter A

Step-by-step explanation:

a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.

b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.

c) The probability of getting a head on an unbiased coin is [tex]\frac{1}{2}[/tex] or [tex]0.50[/tex]. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.

PLEASE HELP, I WILL MARK BRAINLIEST!

Answers

Answer:

hope this helps you

Suppose a car rental company charges $22.50 plus 10 cents per mile write an equation you could solve to find how many miles you drove if the rental charge was 40.00

Answers

Answer:

Equation= 40=22.50+.10(how many miles)

175 miles= How many miles you drove.

Step-by-step explanation:

Equation= 40=22.50+.10(how many miles)

40-22.50=.10(how many miles)

17.5=.10(how many miles)

175 miles= How many miles you drove.

Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?

Answers

Answer:

41 miles

Step-by-step explanation:

30+10+1=41

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filler

filler

filler

He traveled a total of 41 miles

Each week Danny eats 540 grams of cereal over 8 weeks. He finishes a total of 12 boxes of cereal. Each box contains the same amount of cereal. How many grams of cereal are in each box?

Answers

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

How many observations are accounted for in the stem and leaf graph? What did you do to find the answer?

Answers

Answer:

i put 2

Step-by-step explanation:

Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?

Answers

Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

No, x = -12/23 , y = -14/23

Step-by-step explanation:

Solve the following system:

{-3 x - 4 y = 4 | (equation 1)

y - 5 x = 2 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + y = 2 | (equation 1)

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

Subtract 3/5 × (equation 1) from equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x - (23 y)/5 = 14/5 | (equation 2)

Multiply equation 2 by 5:

{-(5 x) + y = 2 | (equation 1)

0 x - 23 y = 14 | (equation 2)

Divide equation 2 by -23:

{-(5 x) + y = 2 | (equation 1)

0 x+y = (-14)/23 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = 60/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Divide equation 1 by -5:

{x+0 y = (-12)/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Collect results:

Answer: {x = -12/23 , y = -14/23

Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.

Answers

Answer:

The game is not fair

Step-by-step explanation:

A wheel with seven sectors:

Red Sectors  = 2   |  Probability  = 2/7

Purple sectors  = 2  |  Probability  = 2/7

Yellow sectors  = 2 |   Probability  = 2/7

Blue sectors  = 1  |  Probability  = 1/7

Landing on the blue sector will give 3 points,  => 3 * 1/7  = 3/7    points

landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7   points

landing on a purple sector will give 0 points => 0 * 2/7  = 0   points

landing on a red sector will give –1 point.  =>  - 1 * 2/7  = -2/7 points

Expected value  =  3/7 + 2/7 + 0 - 2/7

= 3/7

Expected value  =  3/7

3/7   < 1/2

=> game is not fair

If expected value = 3.5/7 = 1/2  then game will be fair

hence if we make 3.5 points for Landing on the blue sector

then game will be fair.

Answer: well i'm too young to answer this lol

1. 7

2. change the value of the colors. each color should have at least 1 or 2 points for each sector.

Step-by-step explanation:

1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7

2. dk how to explain this i'm running out of time

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

10 and 8

Step-by-step explanation:

If £25 = 850 rubles, how many £ are in 1,088 rubles?

Answers

Answer:

There are £32.64 are in 1,088 rubles.

Step-by-step explanation:

To solve this

step 1: find cost of 1 rubble

step 2: multiply number of rubble with cost of one rubble.

cost of 850 rubles = £25

we need to find cost of 1 rubles, for that we divide lHS and RHS with 850

cost of 850/850 rubles = £25/850 = £0.03

cost of 1 rubles = £0.03

Therefore cost of 1088 rubles = 1088* cost of 1 rubles

                                                  = 1088 * £0.03 = £32.64.

Thus, there are £32.64 are in 1,088 rubles.

Order the cones described below from least to greatest volume. Cone​ 1: radius 4 cm and height 12 cm Cone​ 2: radius 8 cm and height 6 cm Cone​ 3: radius 6 cm and height 7 cm

Answers

Answer:

Cone 1 ⇒ Cone 3 ⇒ Cone 2

Step-by-step explanation:

V=πr²h /3

V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92  cm³V cone3  = 3.14*6²*7/3= 263.76 cm³

Order the cones from least to greatest volume

Cone 1 ⇒ Cone 3 ⇒ Cone 2

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!1 A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it? A) 210 inches B) 250 inches C) 180 inches D) 200 inches

Answers

Answer:

c) 180in

Step-by-step explanation:

So first you divide 150 by 5 to know by how much it was increased

150/5=30

Then multiply the length by that same 30 since it was scaled up by 30

30*6=180

Answer:

C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180

What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1

Answers

Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

What is a mathematical function, equation and expression?          

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

To solve more questions on functions, expressions and polynomials, visit the link below -

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If x2=y3, what is the value of z does x3z=y9?

Answers

If x² = y³ , for what value of z does [tex]x^{3z}[/tex] =  [tex]Y^{9}[/tex]  ?

Answer:

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]   -----------------------------------------------------------------(1)

but   applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

[tex]Y^{9}[/tex]  = [tex](Y^{3})^{3}[/tex]

replace  [tex]Y^{9}[/tex]  by  [tex](Y^{3})^{3}[/tex]  in equation (1)

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]   --------------------------------------------------------------------(2)

but  from the question x² = y³

replace y³ by x²  in equation (2)

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex](X^{2})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex]X^{6}[/tex]

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3  at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?

Answers

Answer:

Largest possible value for the 3rd side can be 22.

Step-by-step explanation:

Property of sides of a triangle:

If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:

[tex](a+b) > c[/tex]

i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].

So, to find the largest possible value:

[tex]a = 8\\b= 15[/tex]

[tex]a+b=23[/tex]

Largest possible value of [tex]c[/tex] can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.

Among fatal plane crashes that occurred during the past 70 ​years, 581 were due to pilot​ error, 56 were due to other human​ error, 579 were due to​ weather, 555 were due to mechanical​ problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing​% Other human error nothing​% Weather nothing​% Mechanical problems nothing​% Sabotage nothing​%

Answers

Answer:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

What is the distance between the pool in the main office in miles? Round to the nearest 10th period (8,1)(6,-6)

Answers

Answer & Step-by-step explanation:

For this problem, we are going too have to use the distance formula.

[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

We can plug in the coordinate points that we are given to their respectful places.

[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]

[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]

[tex]Distance=\sqrt{4+49}[/tex]

[tex]Distance=\sqrt{53}[/tex]

[tex]Distance=7.3[/tex]

So, the distance between the pool and the main office is 7.3 miles.

how do you factor 5x^2b^2 + 14xb^2 -3b^2

Answers

Answer:

[tex]5b^2(x-0.2)(x+3)[/tex]

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:

[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

[tex]5b^2(x-0.2)(x+3)[/tex]

Hope this helps!

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

2

1.8

8/9

Answers

Answer:

2

Step-by-step explanation:

If the common difference is d we can write:

-5 + 9d = 13

9d = 18

d = 2

Answer:

d = 2.

Step-by-step explanation:

First term = -5

10th term = -5 + 9d    where d is the common difference, so

-5 + 9d = 13

9d = 18

d = 2.

can someone please help and explain​

Answers

Answer:

2

Step-by-step explanation:

2 4/5 * 5/7

Change to an improper fraction

(5*2+4)/5 * 5/7

14/5 * 5/7

Canceling the 5's

14/7

2

Answer:

2

Step-by-step explanation:

[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]

Hope this helps!

Which side of AABC is the longest?

Answers

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Yup! Option B is correct

Explanation:
From B to C the line is slanted making it look more longer than the rest!

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Answers

Answer:

What? Retype the question below and ill answer it, but this isnt answerable.

Step-by-step explanation:

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Like what kind of language is this ;--;

The time it takes to set up a circus tent varies inversely with the number E of elephants used. If 4 elephants can set up a tent in 30 hrs how long will it take 2 elephants?

Answers

Answer:

It will take 60 hours for 2 elephants to set up the tent.

Step-by-step explanation:

Represent set-up time by T and the number of elephants by E.  T varies inversely with E:

T  = k/E, or TE = k

If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and

T = 120/E

Now let E = 2.  We get T = 120/2, or 60

It will take 60 hours for 2 elephants to set up the tent.

Q5) (2.00 marks)
The sum of two numbers is 16 and their product is 48. What are the two numbers?

Answers

12 and 4
12 + 4 = 16
12 x 4 = 48
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