Sandy's dad just finished working and was paid $8000 for his work. Her dad gave her mom 5/8 of his salary to pay for household expenses. Her mom gave her brother 1/15 of the amount she received as allowances for her brother. Her brother gave Sandy 2/3 of his allowances because he owed her money. How much money did Sandy get from her brother?

a) Write an equation for this scenario

b) Solve the scenario and find out how much money Sandy got from her brother

Answer:

20 pieces

Step-by-step explanation:

x= the entire pizza

if 4/5x=16

divide both sides by 4

1/5x=4

multiply both sides by 5

x=20

A proportion which solves for the distance between D and E is: 9/6 = 15/x.

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding sides are equal and their corresponding angles are in congruence.

By applying the properties of similar triangles, we have this expression:

AB/DE = BC/CD

Substituting the given parameters into the expression, we have;

9/6 = 15/x.

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Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

Answer:

F

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Answer:

6 and -6

|6|=6

|-6|=6

Answer:

x = 5

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

(180 - 18x + 5) + (-1 + 8x) + 46 = 180

⇒ 180 - 18x + 5 - 1 + 8x + 46 = 180

⇒ -10x + 230 = 180

⇒ -10x = -50

⇒ x = 5

Answer:

2x10^-12

Step-by-step explanatiion:

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

The value of x is: x = 35.57.

Here, we have,

given that,

from the given diagram, we get,

it is a right angle triangle,

base = x

hypotenuse = 37

and angle = 16°

now, we know that,

cos θ = adjacent / hypotenuse

so, we get,

cos 16° = x/37

The value of cos 16° is equal to the x-coordinate (0.9613).

∴ cos 16° = 0.9613.

=> 0.9613 = x/37

=> x = 35.57

Hence, The value of x is: x = 35.57.

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Answer: 52.5%

Step-by-step explanation:

First add up both quantities to find out the total quantity of the mixture.

= 2.85 + 3.15

= 6 kg

The flour is 3.15 kg out of this total so the percentage is:

= 3.15 / 6 * 100%

= 52.5%

Answer:

120

Step-by-step explanation:

all angles of a triangle add up to 180. 180-15-45= 120.

:D

brainliest pls

Given :

Measure of an angle = 15°

Measure of the second angle = 45°

Let the measure of the third angle be x.

We know that :

▪︎Sum of all angles of a triangle = 180°[angle sum property]

Which means :

[tex] =\tt 15 + 45 + x = 180[/tex]

[tex] =\tt 60 + x = 180[/tex]

[tex] =\tt x = 180 - 60[/tex]

[tex]\hookrightarrow\color{plum}\tt \: x = 120°[/tex]

Thus, the measure of the third angle = 120°

Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.

Therefore, the correct option is (C) 120

Answer:

15

Step-by-step explanation:

100/300=.3333333

.33333x45=15

..........the answer is 48 × 10^-8

Answer:

area of circle=4/3 π4²=67cm²

Answer:34.1

Step-by-step explanation:

Answer:

73/4

Step-by-step explanation:

18x4 = 72. 72 + 1 = 73

Answer: 73/4

Step-by-step explanation:

An improper fraction is simply a fraction in which the numerator is larger than the denominator.  Thus, simply convert 18 into fourths, 72/4, then add 1/4 to get 73/4

Hope it helps <3 :D

Answer:

The area of the circle is 49π in 2

Step-by-step explanation:

none have a good day or night

Answer:

https://preview.redd.it/t4p9fgd30ag61.gif?format=mp4&s=56295791fda9b2006756326ff4863b84a5c30271

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Find

Substitute x with x/3:

Correct choice is C.

Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

Answer:

Yes, they are congruent.

Step-by-step explanation:

Reflected triangles can be congruent

To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.

Answer:

Step-by-step explanation:

Two sides and the included angle are congruent:

Postulate: SAS

Congruence Statement: ΔRED ≅ ΔSOX

Answer:

36 * 64

= 2304

Hope it help

Answer:

Answer:

Step-by-step explanation:

#3 D

#4 c

Answer:

1. D

2. C

Step-by-step explanation:

I used a ✨calculator✨

Answer: 0.23

This is the answer on khan

Answer:

Either B or D

Step-by-step explanation:

Answer:

72 [tex]ft^{2}[/tex]

Step-by-step explanation: to find the area is length multiplied by width. plug 5 into the equations and you get (9)(8)=72. the unit is feet squared, so your answer is 72[tex]ft^{2}[/tex]