3. Kevin and Hannah are both saving money for a new television. Kevin has already saved $ 47 and
plans to save $ 16 every week. Hannah has already saved $ 20 and plans to save $ 25 every week.
Write the system of equation for the information presented. Let m represent the amount of
money and w represent the weeks. *

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Answer:

The word "solution" means an action or process of solving a problem

99 is a solution to 1/9x = 11 because  multiplying both side of the equation by 9 makes x = 99

Answer:

Step-by-step explanation:

Answer:

choose option E.

Step-by-step explanation:

Given

t² = 2p + as

.Making s as the subject

as = t² - 2p

s = ( t² - 2p) / a

t² = 2p + as

t² - 2p = as

(t² - 2p)/a = s

s = (t² - 2p)/a , answer = E

Answer:

80

Step-by-step explanation:

If you have 20 lemons then you half them, you can 40 halves, then after you half those haves you get 80.

The lemons are cut to get the total pieces of 80.

An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.

Calculation for the fraction of the lemons cut:

Let 'x' the total number of lemons.

x = 20

As, the all lemons are cut in halves.

So, the quantity of the lemons are multiplied by 2.

2x = 2×20 = 40

The new value of x becomes 40 now.

Now, again the lemons are cut into halves.

2×40 = 80

Therefore, the total number of lemons after cutting are 80.

To know more about, equality of numerator and denominator in fraction, here

https://brainly.com/question/569881

#SPJ2

9514 1404 393

Answer:

  c = √73

Step-by-step explanation:

The Pythagorean theorem tells you that ...

  c² = a² + b²

The sides you choose to call 'a' and 'b' don't matter. We can let 'a' be the left side and 'b' be the top side. Then we have ...

  c² = 3² +8² = 9 + 64 = 73

Taking the square root gives ...

  c = √73

Answer:

c = [tex]\sqrt{73}[/tex]

Step-by-step explanation:

c is the hypotenuse ( side opposite to the right angle )

So,

[tex]c^{2}[/tex] = [tex]8^{2}[/tex] + [tex]3^{2}[/tex]        (Pythagoras theorem)

c = [tex]\sqrt{64 + 9}[/tex]

c = [tex]\sqrt{73}[/tex]

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

Answer:

a = 127°

Step-by-step explanation:

The 3 angles lie on a straight line and have a sum of 180°, that is

15° + a + 38° = 180°

53° + a = 180° ( subtract 53° from both sides )

a = 127°

Point Form: ( 1 , − 3 )

Equation Form: x = 1 , y = − 3

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Brainliest or a thank you please! have a great day/night

Answer:

what

Step-by-step explanation:

for your answer of this question

perimeter =sum of all side.

sorry I am unable to find perimeter without figure.

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Answer:

The answer is perpendicular to the base.

Step-by-step explanation:

Took the quiz! :)

Answer:

b

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Answer:

^ACD= 90+60+x=180

^ACD=150+x=180

^ACD=x=30.

^DCB=60.

^CDB=90

Answer:

true

Step-by-step explanation:

Answer:

10 appetizers

Step-by-step explanation:

4/2 = x/5

20 = 2x

x = 10

Answer:

[tex]10.4[/tex]

Step-by-step explanation:

The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:

[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].

Answer:

First term = 10/7

Step-by-step explanation:

Given:

n term of arithmetic sequence = 3/7(n)+1

Find:

First term

Computation:

First term n = 1

So,

3/7(n)+1

3/7(1)+1

3/7 + 1

First term = 10/7

Answer:

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Given that :

Triangle is right angled ;

Leg length = 21 ; hypotenus = 75 ; Length of missing leg =?

From Pythagoras :

Length of leg 2 = sqrt[(hypotenus )² - (length of leg1)²]

Let length of leg 2 = x

x = sqrt[(75 ² - 21²)]

x = sqrt(5625 - 441)

x = sqrt(5184)

x = 72

A right triangle has a leg length of 21 and a hypotenuse of 75. Find the missing leg.

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

----------------------------------------------------------

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59