Shay's net earnings per month are $4000. Shay's total monthly expenses are $3000. The biggest expense is rent at $1500. If Shay takes on a roommate who pays $500 per month, by what amount has Shay reduced total monthly expenses?
Group of answer choices
1/8 or 13%
1/6 or 17%
1/3 or 33%
1/2 or 50%

Step-by-step explanation:

To solve for u, remove the fraction.

Multiply each side by 10 to remove the fraction;

[tex]u = \frac{30}{17} = 1 \frac{13}{17} = 0.8[/tex]

Answer:

P>_5(10)^t

P<_1,000

Step-by-step explanation:

The cost of 1 apple and 5 mangoes is $6.15.

Let's look at how to form and solve simultaneous equations in a word problem.

Assuming that the cost of each apple and mango is equal in both packs.

Let the cost of an apple be a and that of a mango be m.

10a +5m= 12 -----(1)

15a +4m= 14.15 -----(2)

Steps for solving equations with two variables

Working

Here, I am making the value of the coefficient of m constant.

(1) ×4:

40a +20m= 48 ----(3)

(2) ×5:

75a +20m= 70.75 -----(4)

Moving on to step 2, we can eliminate the m term by subtracting equation (3) from (4). When the sign of the terms are equal, we use subtraction to eliminate the term. On the other hand, if one of the sign is positive and the other is negative, adding the two equations together will eliminate the term (provided that you have already ensured that the magnitude of the coefficient is equal).

(4) -(3):

75a +20m -(40a +20m)= 70.75 -48

Expand:

75a +20m -40a -20m= 22.75

Simplify:

35a= 22.75

Let's continue with step 3, where we solve for a.

a= 22.75 ÷35

a= 0.65

The cost of an apple is $0.65.

Now, moving on to step 4!

Substitute a= 0.65 into (1):

10(0.65) +5m= 12

6.5 +5m= 12

5m= 12 -6.5

5m= 5.50

5 mangoes costs $5.50.

Cost of 1 apple and 5 mangoes

= $0.65 +$5.50

= $6.15

Thus, the cost of 1 apple and 5 mangoes is $6.15.

Answer:

x=-1 x=-16

Step-by-step explanation:

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

Answer:

-79 is the ansekendndjdisosj

Answer: B

Step-by-step explanation:

This is a vertical line, meaning it fails the vertical line test, and thus cannot be a function.

Answer:

12

Step-by-step explanation:

this is answer of q.n.8

__________________

3x+5+4x+7+6x+12=180°[being sum of angle of triangle is 180°]

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

Answer: 64

Step-by-step explanation:

Answer:

Lori reportedly paid her mother a third of the $39. Now let's see what 1/3 of $39 is.

$13 = 39/1 x 1/3 So she paid $13, but she still owes $23 of the original $39.

So, we need to figure out what 2/3 is, and here's how: 39 - 13 = $26. She owes her mother $26.

As a result, it now indicates that she paid 1/4 of the outstanding debt. Let's see what 1/4 of $26 equals.

6.50 = 26/1 x 1/4 She repaid $6.50 of the $26 she had borrowed. And she still owes 3/4 of what she owes. Let's find out what 3/4 means now. So, remove $6.50 from $26, as follows: 26 - 6.50= $19.50.

Step-by-step explanation: See above.

Hope this helps.

Answer:

7.08

Step-by-step explanation:

39 divide by 1/3 =117

117 divide by 1/4= 708

and u get 7.08

https://brainly.com/question/2952247

I messed up, so here's the answer.

Answer:

12.5 minutes

Step-by-step explanation:

Since the cyclist is biking a certain distance in 25 minutes, (which we don't know), and the pedestrian is traveling 2 times slower,

the speed of the pedestrian would be 25/2

25 / 2 = 12.5 minutes

Answer:

17.5 acres

Step-by-step explanation:

Let the areas of A, B, and C be 2x, 3x, and 5x, respectively,

then 2x = 3.5 acrea, x = 3.5/2 acres

Total area is 2x + 3x + 5x = 10x = 10 * 3.5/2 = 17.5 acres

Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

Answer:

35

...

....

....

....

...

.

.

Answer:

[tex]CP = 24[/tex]

Step-by-step explanation:

The measured sides are 24 and 32 units long. It means that the larger triangle is [tex]\frac{32}{24} =\frac 43[/tex] times bigger than the smaller one. In particular, all linear measures are scaled of the same ratio: for medians we can write

[tex]FQ= \frac 43 CP \rightarrow 3FQ=4CP[/tex]

At this point we replace both segments with their lengths and solve for x. Once we find x, we can determine the length of CP.

[tex]3(2x+8)=4(3x-12)\\6x+24=12x-48 \rightarrow 6x=72 \rightarrow x=13\\CP = 3(13)-12 =36-12=24[/tex]

The length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The ratio of the sides:

DE/AB = 32/24 = 4/3

Similarly, the ratio of the sides:

QF/CP = 4/3

3QF = 4CP

3(2x + 8) = 4(3x - 12)

6x + 24 = 12x - 48

6x = 72

x = 12

CP = 3(12)—12 = 24 units

Thus, the length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

Answer:

"." is a symbol called a period, it is typically used to mark the end of a sentence that has a main clause which contains a subject and a verb. In informal conversations that involve visible text ".....", which is a combination of many periods, is often used to show a long pause. This is the type seen in the question you asked.

Hope this helps!

It takes them 12 hours to design a total of 7 logos if they both start working at the same time

This is the amount per unit time.

Since one graphic designer takes 3 hours to design a logo. Her less experienced colleague takes 4 hours to design a logo, we need to find the rate at which the work is done.

Now, since we require the time to desigh 7 logos, this time is T = number of logos/combined rate

= 7 logos ÷ 7/12 logo/hr

= 12 hr

So, it takes them 12 hours to design a total of 7 logos if they both start working at the same time

Learn more about time here:

https://brainly.com/question/25173515

Answer:

StepStep-by-step-by-step explanation:

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Answer:

12x+10

Step-by-step explanation:

pls mark brainliest

Answer:

40° and 100°

Step-by-step explanation:

An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.

So, one of the angles must be 40°, and the other may be 100° or 120°.

The measures of the angles in a triangle add up to 180°

40° + 40° + [tex]x[/tex] = 180°

80° + [tex]x[/tex] = 180°

[tex]x[/tex] = 180° - 80°

[tex]x[/tex] = 100°

The other two angles are 40° and 100°.

The value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex].

In this question we must apply definitions and theorems of Euclidean geometry to derive the value of all required angles.

Based on geometry we know that heights are perpendicular to sides opposite to an angle, sum of internal triangles equals 180°, sum of supplementary angles equals 180°.

If we know that [tex]m\angle B = \alpha[/tex], then the value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex]. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512

Answer:

Some right angles

Step-by-step explanation:

2 not given 3 given 4given 5 not given

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Answer:

2 < AB < 18

Step-by-step explanation:

Answer:

The range is from [tex]18[/tex] to [tex]2[/tex] (greatest to least)

[tex]2 < x < 18[/tex]

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of the third side AB of triangle ABC

Applying the triangle inequality theorem

case A)

[tex]8+10 > x[/tex]

[tex]18 > x[/tex]

Rewrite

[tex]x < 18[/tex]

case B)  

[tex]8+x > 10[/tex]

[tex]x > 10-8[/tex]

[tex]x > 2[/tex]

The solution for the range of possible side lengths of the third side is the interval

[tex](2,18)[/tex]

so

[tex]2 < x < 18[/tex]

All real numbers greater than [tex]2[/tex] and less than [tex]18[/tex]

The number [tex]2[/tex] and the number [tex]18[/tex] are not included in the solution

Answer:

2 902 991.17 grams in 3.2 tons

Step-by-step explanation:

1st ratio=

5:7

[tex] \frac{5}{7} [/tex]

2nd ratio =

35:49

[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)