Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

Answer:

For the first one it is 6 and the second is 53 degrees

Step-by-step explanation:

Just look at what the given values are and go from there

Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]

Step-by-step explanation:

Slope Intercept form is y=mx+b

Equation A:

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

−

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

−

8

(These are the numbers in order)

By substituting we get

x

=

−

(

2

)

2

⋅

1

, which simplifies to

x

=

−

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

−

1

)

2

+

2

(

−

1

)

−

8

y

=

1

−

2

−

8

y

=

−

9

Putting the two numbers together you get the coordinates

(

−

1

,

−

9

)

.

Answer:

9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

AnswerX=9

Step-by-step explanation:

6x-42=39-3x

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

Answer:

Step-by-step explanation:

175 ÷ 5 = 35

$35 per ticket

Answer:

35

Step-by-step explanation:

It's cuz you want to know how much one ticket costs right?

Sp do 175 divded by 5

You should get 35 as the answer!

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

Answer:

The answer is J.

Step-by-step explanation:

50% of 800 is 400.

125+275=400

Answer:

Tariffs

Quotas

Export subsidies

Domestic subsidies

Import licensing

Exchange controls

Financial protectionism

Murky or hidden protectionism

Answer:

15 weeks

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point a:

[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point b:

[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

Answer: 11 percent

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

[tex]8. \: \: \: \: 2 {x}^{2} + 14 = 22 \\ \\ = > 2 {x}^{2} = 22 - 14 \\ \\ = > 2 {x}^{2} = 8 \\ \\ = > {x}^{2} = \frac{8}{2} \\ \\ = > {x}^{2} = 4 \\ \\ = > x = \underline{+}\sqrt{4} \\ \\ = > \green {\boxed{x = 2\: or \: (-2)}} \\ \\ \\ \\ \\ 9. \: \: \: \: 8 {x}^{2} + 19 = 54 + 3 {x}^{2} \\ \\ = > 8 {x}^{2} - 3 {x}^{2} = 54 - 19 \\ \\ = > 5 {x}^{2} = 35 \\ \\ = > {x}^{2} = \frac{35}{5} \\ \\ = > {x}^{2} = 7 \\ \\ = > x = \underline{ + } \sqrt{7} \\ \\ = > \green{\boxed{ x = \sqrt{7} \: or \: ( - \sqrt{7} )}} [/tex][tex]\\\\\\\\10. \: \: \: 7 {x}^{2} + 12 = 51 - 4 {x}^{2} \\ \\ = > 7 {x}^{2} + 4 {x}^{2} = 51 - 12 \\ \\ = > 11 {x}^{2} = 39 \\ \\ = > {x}^{2} = \frac{39}{11} \\ \\ = > {x} = \underline{+ }\sqrt{ \frac{39}{11} } \\ \\ = > \green{\boxed{ x = \sqrt{ \frac{39}{11} } \: or \: (- \sqrt{ \frac{39}{11} } )}}[/tex]

Answer:

Step-by-step explanation:

7h-7h=0

We add all the numbers together, and all the variables

=0

h=0/1

h=0

Harry has 49.792 units.

Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:

1) Carrie has 0.125 more than Larry:

[tex]y = x + 0.125[/tex] (1)

2) Larry has 0.75 more than Harry:

[tex]x = z + 0.75[/tex] (2)

3) In total, they have 151:

[tex]x + y + z = 151[/tex] (3)

Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:

[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]

[tex]3\cdot x -0.625 = 151[/tex]

[tex]3\cdot x = 151.625[/tex]

[tex]x = 50.542[/tex]

And the remaining solutions are, respectively:

[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]

Harry has 49.792 units.

We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Answer: 0.85 kilograms

Step-by-step explanation:

Answer:  [tex](x,y) \to (x+3, y-5)[/tex]

The x turning into x+3 means she moves 3 seats to the right

The y turning into y-5 means she moves 5 rows down.

Answer:

 B C D

Step-by-step explanation:

Answer:

The domain is the input.

Step-by-step explanation:

The domain is the input, the independent value—it's what goes into a function. The range or y-value is the output and the dependent value is the outcome.

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Answer:

5×(+1)=

5×1=5

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

if you're going for distributive law then 5(-5)+5(6). -25+30. so 5

Answer:

B and D also intersect at C

Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line

Answer:

Step-by-step explanation:

AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC

ΔABC doesn't congruent to ΔEDC

Answer:7.62, if not just 7.6 orr 58 read explanation lol

Step-by-step explanation:

i did the math and i doubled checked on a calculator :P,

cause you use the formula c= [tex]\sqrt{a^2+ b^2}[/tex] and in this case a^2 and b^2 is 3^2 and 7^2 and then you solve so its 9 and 49 and then add them which is 58 and then you find the square root of 58 which is 7.6 or in your case you put 58 under the square root

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = [tex]\frac{x}{14}[/tex]

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

Answer:

The ration of the number of gallons of green paint to the number of  tan paint Collins used is 1 is to 2

Step-by-step explanation:

The given parameters are;

The number of gallons of tan paint = 2 gallons

The number of gallons of blue paint = 5 gallons

The number of gallons of green paint = 1 gallons

Therefore, the ration of the number of gallons of green paint to the number of  tan paint Collins used = (The number of gallons of green paint Collins used):(The number of  tan paint Collins used) = 1 gallons:(2 gallons) = 1:2

The ration of the number of gallons of green paint to the number of  tan paint Collins used = 1 is to 2.

Answer:

2 and 6

Step-by-step explanation:

2+6=8. 6-2=4.

Answer:

2 and 6

Step-by-step explanation: