Fruit juice in 4/5 pint cartons is sold by the park in 5/6 pint mugs. How many mugs are in a​ carton?

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

The length of the line segment PR is 12 units.

A line segment is a subset of a line which has two endpoints.

According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.

Assuming PQ = 4x, QR = 2x and RS = x.

We know PQ + QR + RS = PS.

∴ 4x + 2x + x = 14.

7x = 14.

x = 2.

PR = PQ + QR.

PR = 4(2) + 2(2).

PR = 8 + 4.

PR = 12.

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Answer:

-1/2

Step-by-step explanation:

The slope of a line parallel is to another line is the same.

So the line in the picture has a slope of -1/2, and since the other line is parallel to the first one, its slope is also -1/2

Answer:

The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

Step-by-step explanation:

Enjoy

The remaining charge on the group of 4 atoms would be -

q(+) = + 12e.

Given is that three electrons are removed from each of 4 atoms

Now, the total electrons lost will be = 3 x 4 = 12 electrons.

The remaining charge on the group of 4 atoms would be -

q(+) = + 12e

Therefore, the remaining charge on the group of 4 atoms would be -

q(+) = + 12e.

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Answer:

Step-by-step explanation:

1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...

  7x -3 +3 = -17 +3

  7x = -14

__

2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...

  7x/7 = -14/7

  x = -2

_____

Additional comment

Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:

  7x -3 -95 = -17 -95   ⇒   7x -98 = -112 . . . . . subtract 95 from both sides

  12(7x -98) = 12(-112)   ⇒   84x -1176 = -1344 . . . . multiply both sides by 12

The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.

Answer:

Third option choice

Step-by-step explanation:

Notice that the angle is in the second quadrant, where the cosine is negative, the sine is positive and the tangent negative. In particular given the value of the cosine you are located at the angle 150 degrees, which gives a sine of 1/2 and a tangent given by [tex]-\sqrt{3} /3[/tex]

Therefore the third option is the correct one.

Answer:

B. $79 + 0.1($79)

Step-by-step explanation:

Given that;

the shipping cost for an order = 1/10 multiply by the cost of the items bought;

i.e.  [tex]\dfrac{1}{10}\times x[/tex]

where

x = cost of items ordered for.

This implies that:

[tex]\implies[/tex] x + 0.1x

The objective is to determine the expression for the total cost of an order which is $79

x = 79

Then,  the total cost of an order is

$79 + 0.1($79)

===================================================

Explanation:

Initially there are 15+18+12 = 45 marbles total. He selects 3 marbles (2 reds, 1 blue).

Assuming he doesn't put the three marbles back, this means there are now 45-3 = 42 marbles overall. The yellow count hasn't changed since the first three marbles do not involve yellow. We have 12 yellow out of 42 which leads to the fraction 12/42 to represent the probability of getting yellow.

Reduce 12/42 to get 2/7. You divide both parts by the GCF 6.

-------

Side note: if he did put the marbles back, then the probability of getting yellow would be 12/45 = 4/15

*see attachment for the figure referred to

Answer/Step-by-step explanation:

1. PN = 29

MN = 13

PM = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 29 - 13 = PM [/tex] (substitute)

[tex] 16 = PM [/tex]

[tex] PM = 16 cm [/tex]

2. PN = 34, MN = 19, PM = ?

[tex] PN = PM + MN [/tex] (sediment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 34 - 19 = PM [/tex] (substitute)

[tex] 15 = PM [/tex]

[tex] PM = 15 cm [/tex]

3. PM = 19, MN = 23, PN = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN = 19 + 23 [/tex] (substitute)

[tex] PN = 42 cm [/tex]

4. MN = 82, PN = 105, PM = ?

[tex] PN = PM + MN [/tex] (segment addition postulate)

[tex] PN - MN = PM [/tex] (subtract MN from each side)

[tex] 105 - 82 = PM [/tex] (substitute)

[tex] 23 = PM [/tex]

[tex] PM = 23 cm [/tex]

5. PM = 100, MN = 100, PN = ?

[tex] PN = PM + MN [/tex] (Segment addition postulate)

[tex] PN = 100 + 100 [/tex] (substitute)

[tex] PN = 200 cm [/tex]

Answer:

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is A = (1/2) (b)(h).

Here A = 28 in^2, so 28 in^2 = (1/2)(8 in)(7 in), or

                                    28 in^2 = 28 in^2

Answer:

Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.

(15 + 56i(7 + 4i)

= 105 + 60i + 392i + 224i^2

= 105 + 452i - 224 ( because i^2 = -1)

= - 119 + 452i

Step-by-step explanation:

let me know if this helps!

Answer:

hope this helps

Step-by-step explanation:

I don't know I have a similar one but I also don't know that one

Step-by-step explanation:

The correct answer is

tenths

Answer:

Thousandth

Step-by-step explanation:

Answer:

the answer is 4752

Step-by-step explanation:

*please give me brainliest, i only need four more*

Answer:

40,000

Step-by-step explanation:

15000+25000=40000

Answer: 40,000

Step-by-step explanation:

25,000 + 15,000 = 40,000

Hope this helps

Plz mark brainliest

your answer is B= 12 your welcome :)

Answer:

0.75

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

type in calculator

Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Convert from decimal to fraction.

0.75 = 3/4. That is your answer.

Answer:

3/4 i believe.

Step-by-step explanation:

Answer:

The answer is ab-3a+5b-15

Step-by-step explanation:

apply de disruptive property by multiplying each term a+5by each term b-3

Hope this helps :)

Answer:

here you go ab-3a+5b-15

Answer:

x ≈ 4.19180

Step-by-step explanation:

[tex]2 log 3(x) = 4[/tex]

[tex]2 log(3)(x) = 4[/tex]

Divide both sides by 2log (3) to isolate x by itself

[tex]\frac{2log(3)(x)}{2log(3)} = \frac{4}{2log(3)}[/tex]

[tex]x = \frac{4}{2log(3)}[/tex]

or x ≈ 4.19180

using a calculator you can write the answer as a rounded number

Answer:

Samuel slept for 1/4 of the distance.

Step-by-step explanation:

The information provided are:

Consider that the total distance covered was 1.

Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.

It is provided that he woke up only after covering half of the remaining distance.

That is, he slept for 1/4 of the remaining distance.

Thus, Samuel was asleep for 1/4th of the entire trip home.

Answer:

Area of triangle ADC  is 54 square unit

Step-by-step explanation:

Here is the complete question:

Let ABC be a triangle such that AB=13, BC=14, and CA=15. D is a point on BC such that AD bisects angle A. Find the area of triangle ADC .

Step-by-step explanation:

Please see the attachment below for an illustrative diagram

Considering the diagram,

BC = BD + DC = 14

Let BD be [tex]x[/tex] ; hence, DC will be [tex]14-x[/tex]

and AD be [tex]y[/tex]

To, find the area of triangle ADC

Area of triangle ADC  = [tex]\frac{1}{2} (DC)(AD)[/tex]

= [tex]\frac{1}{2}(14-x)(y)[/tex]

We will have to determine [tex]x[/tex] and [tex]y[/tex]

First we will find the area of triangle ABC

The area of triangle ABC can be determined using the Heron's formula.

Given a triangle with a,b, and c

[tex]Area =\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where [tex]s = \frac{a+b+c}{2}[/tex]

For the given triangle ABC

Let [tex]a[/tex] = AB, [tex]b[/tex] = BC, and [tex]c[/tex] = CA

Hence, [tex]a = 13, b= 14,[/tex] and [tex]c = 15[/tex]

∴ [tex]s = \frac{13+14+15}{2} \\s= \frac{42}{2}\\s = 21[/tex]

Then,

Area of triangle ABC = [tex]\sqrt{(21)(21-13)(21-14)(21-15)}[/tex]

Area of triangle ABC = [tex]\sqrt{(21)(8)(7)(6)}[/tex] = [tex]\sqrt{7056}[/tex]

Area of triangle ABC = 84 square unit

Now, considering the diagram

Area of triangle ABC = Area of triangle ADB + Area of triangle ADC

Area of triangle ADB = [tex]\frac{1}{2} (BD)(AD)[/tex]

Area of triangle ADB = [tex]\frac{1}{2}(x)(y)[/tex]

Hence,

Area of triangle ABC =  [tex]\frac{1}{2}(x)(y)[/tex] + [tex]\frac{1}{2}(14-x)(y)[/tex]

84 =   [tex]\frac{1}{2}(x)(y)[/tex] + [tex]\frac{1}{2}(14-x)(y)[/tex]

∴ [tex]84 = \frac{1}{2}(xy) + 7y - \frac{1}{2}(xy)[/tex]

[tex]84 = 7y\\y = \frac{84}{7}[/tex]

∴ [tex]y = 12[/tex]

Hence, [tex]y =[/tex] AD = 12

Now, we can find BD

Considering triangle ADB,

From Pythagorean theorem,

/AB/² = /AD/² + /BD/²

∴13² = 12² + /BD/²

/BD/² = 169 - 144

/BD/ = [tex]\sqrt{25}[/tex]

/BD/ = 5

But, BD + DC = 14

Then, DC = 14 - BD = 14 - 5

BD = 9

Now, we can find the area of triangle ADC

Area of triangle ADC  = [tex]\frac{1}{2} (DC)(AD)[/tex]

Area of triangle ADC  = [tex]\frac{1}{2} (9)(12)[/tex]

Area of triangle ADC  = 9 × 6

Area of triangle ADC  = 54 square unit

Hence, Area of triangle ADC  is 54 square unit.

Answer:

-2/7x+3

Step-by-step explanation:

1/7x+6-4/7x-3

-3/7x+3

Answer: The smaller of the numbers is 2 and the larger is 4.

Step-by-step explanation: 2x3-2=4. 2+4-2=4

Answer:

The bigger number is 1 and the smaller number is also 1

Step-by-step explanation:

One number is 2 less than 3 times another

x + 2 = 3y

If their sum is decreased by 2 the result is 4

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

x + 3y = 4

x = 4 - 3y

Substituting value of x, 4 - 3y , in x + 2 = 3y

4 - 3y + 2 = 3y

6 - 3y = 3y

6 = 3y + 3y

6 = 6y

Divide both sides by coefficient of y, 6

y = 1

Substituting value of y, 1 in x + 2 = 3y

x + 2 = 3(1)

x + 2 = 3

x = 3 - 2

x = 1

Answer:

The following are the solution to this question:

Step-by-step explanation:

The average frequency of each of the four new word processing applications, that can be determined as well as the computer expertise of the consumer, which can be calculated as low and medium. Its information could then be displayed in a table of 3×3, and we'll use ANOVA 2 ways to demonstrate those two comparisons.

Answer:

r=5 or r=−5

Step-by-step explanation:

Answer:

fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg

Step-by-step explanation:

Answer:

After 9 months she would have paid $2,375

Step-by-step explanation:

All you really need to do is multiply 175 by 9, giving you 1,575, and then add the original $800 down payment.

Answer:

false

Step-by-step explanation:

since its the absolute value it will be equal to 14