The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.

Answers

Answer 1

Answer:

30x² − 23x − 14

Explanation:

Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

30x² − 23x − 14

- PNW


Related Questions

Oliva buys a 5-piece living room set from a furniture store offering 0% interest for 9 months. Calculate the average monthly payment she should make to avoid paying deferred interest charges for the $4,999 set.

A.
$277.72

B.
$416.58

C.
$555.44

D.
$833.17

Answers

Divide 4999. By 9, which give an average monthly payment of C. 555.44

i will be back to help you guys

Answers

Answer:

thx u xox ur so sweet

Step-by-step explanation:

I’m having trouble trying to answer this question what is 68×70 this app it helps you work it gives you answers it’s not a cheating thing I should have said that

Answers

Answer:

4760.

Step-by-step explanation:

68 x 10: 680

680 x 7: 4760

Answer:

4760

Step-by-step explanation:

what is the integer -5/12 x -6/35= ?

Answers

Step-by-step explanation:

[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]

What is the slope of the line below?
(2, 2)
(1,-1)
A. negative
B. positive
C. Zero
D. undefined

Answers

Positive
Step-by-step explanation:
Use the slope formula:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(1-2)
m=(-3)/(-1)
m=3

The graph of function g has x-intercepts at x = -1 and x = 3 and a y-intercept at y = -3. Select the graph that could model function g.

Answers

D because that graph hits all the points that you gave in your question.

Answer: D

Step-by-step explanation:

A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them.

Required:
Conduct a hypothesis test at the 5% level.

Answers

Answer:

We fail to reject H0

Step-by-step explanation:

Null hypothesis : H0 : Plocal ≤ Pnational

Alternative hypothesis : H1 : Plocal > Pnational

Plocal = P1 = 65/100 = 0.65

Pnational = P2 = 61/100 = 0.61

n1 = 100 ; n2 = 100

Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04

The standard deviation : = sqrt(Variance)

Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2

Variance = 0.65(0.35)/100 + 0.61(0.39)/100

Variance = 0.002275 + 0.002379 = 0.004654

Standard deviation (s) = √(0.004654) = 0.06822

Z = m/s = 0.04 / 0.06822 = 0.586

Using the p-value from Z score calculator :

Hence, Pvalue for a Zscore 0.586 at 5% = 0.278938

Since ;

P-value is > α ; 0.278938 > 0.05

Then we fail to reject H0

Jace measured a line to be 14 inches long. If the actual length of the line is
13.1 inches, then what was the percent error of the measurement, to the
nearest tenth of a percent?

Answers

Answer:

6.87022901%

Step-by-step explanation:

He measured 14 out of 13.1 inches. There is a difference of 0.9 inches when u subtract. He miscalculated by 0.9 out of 13.1. In a calculator you divide .9 by 13.1 you get 0.0687022901. Multiply by 100 to get the percent and round it to your desired decimal place.

6. ¿Cuál de los siguientes polígonos tiene el mayor área? A. Un rectángulo que mide 3.25 pulgadas de ancho y 6.1 pulgadas de largo.

B. Un cuadrado con lado de longitud 4.6 pulgadas.
C. Un paralelogramo con una base de 5.875 pulgadas y una altura de 3.5 pulgadas.

D. Un triángulo con una base de 7.18 pulgadas y una altura de 5.4 pulgadas.​

Answers

Answer:

1.A

Step-by-step explanation:

yan po ang Tama po ang sagot..ko

1. Use the Pythagorean
Theorem to determine if a
triangle with side lengths 6ft.,
6ft., 8ft. is a right triangle.

Answers

Answer:

Not a right triangle

Step-by-step explanation:

[tex] {6}^{2} + {6}^{2} = 36 + 36 = 72...(1) \\ \\ {8}^{2} = 64....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ {6}^{2} + {6}^{2} \neq {8}^{2} \\ \\ [/tex]

Hence, triangle with side lengths 6ft.,

6ft., 8ft. is not a right triangle.

Pls solve this
A) 16
B) 8
C) 4
D) 2

Answers

MAYBE COULD B (8) I guess

Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?

Answers

Answer:

$421.10

Step-by-step explanation:

If the discount is 10%, that means the sale price is 90% of the original price.

Write the equation that represents that:

378.99 = 0.9x. Solve for x. Divide both sides by 0.9

378.99/0.9 = 421.10

That is the price before the discount and tax.

PLEASE ANSWER ILL MARK BRAINLIEST ONLY IF YOUR RIGHT

Answers

Answer:

C. (-1,2)

Count where the intersection is.

Go backwards one (-1) on the x-axis, and go up two on the y-axis (2).

Answer:

(-1,2)

Step-by-step explanation:

They intersect on the 1st dash on the x axis

and 2nd dash on the y axis

Find the sum of (3 – 4i) and (6 + 7i)

Answers

Answer:-(3-4i) and -(6+7i)

Step-by-step explanation: To find the complex conjugate, negate the term with i.

Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP.

Answers

Answer:

New amount (decrease) = £17253.53

Step-by-step explanation:

Given the following data;

Amount = £19064.67

Percentage = 9.5%

To find the percentage decrease;

[tex] Percentage \; cost = \frac {9.5}{100} * 19064.67 [/tex]

[tex] Percentage \; cost = 0.095 * 19064.67 [/tex]

Percentage cost = £1811.14

New amount (decrease) = Original amount - percentage cost

Substituting into the equation, we have;

New amount (decrease) = £19064.67 - £1811.14

New amount (decrease) = £17253.53

3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look

up at a 50 degree angle to see the top of the arch. How far away from the base of the

arch is she standing?

Answers

Tan(50°) = 630/x
x = 630/tan(50°) = 528 ft

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

What is trigonometry?

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Learn more about trigonometry here:

https://brainly.com/question/29002217

#SPJ5

A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75% of teenagers in North America are pursuing a goal they have set for themselves. Let p represent the proportion of a sample of 200 teenagers in North America who are pursuing a goal they have set for themselves. What are the mean and standard deviation of the sampling distribution of p?

Answers

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that [tex]p = 0.75[/tex]

Sample of 200.

This means that [tex]n = 200[/tex].

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean [tex]\mu = p = 0.75[/tex]

Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

2 points
4. In 2016, a school started its own aquarium with x fish. In 2019, there
were x^2 fish in the same aquarium. There were 144 fish in 2019. How
many fish were there in 2016? Show your work *

Answers

Answer:

171 fish

Step-by-step explanation:

512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

$56.10

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

V=1/3pir2h h = what ?

Answers

Answer:

(3/1)V=(3/1)(1/3pir^2h) 3V=pir^2h (1/pi)(3V)=(1/pi)(pir^2h) 3V/pi=r^2h (1/r^2)(3V/pi)=(1/r^2)(r^2h) 3V/pir^2=h . Check by plugging (h=3V/pir^2)

Step-by-step explanation:

Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?​

Answers

Answer:

Step-by-step explanation:

[tex]v=\frac{d}{t}\\ \\ v=\frac{\frac{2}{5}}{\frac{1}{4}}\\ \\ v=\frac{2}{5}\left(\frac{4}{1}\right)\\ \\ v=\frac{8}{5}\\ \\ v=1.6\ \frac{mi}{hr}[/tex]

Solve the following rational equation for x.
2x-3/5 = x-2/4

Answers

Answer:

x=0.1

Step-by-step explanation:

Please answer

(Will give brainlst)!!

Answers

Answer:

D

Step-by-step explanation:

Should work i got and 80 on that one

three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?

Answers

Answer:

i think the answer is 8

Step-by-step explanation:

Answer:(13, 3)

maybe

Hope it helps

A scale drawing for a plot of land is shown below.
In the drawing, 3 cm represents 5 m.
Assuming the backyard is rectangular, find the area of the real backyard.

Answers

Answer:

area=150cm square

Step-by-step explanation:

l=3 cm ,b=5m=50cm

area of rectangle=3×50

area=150cm square

1) Which property is used in the following ? 4 * (3 + 6) - 4* 3 - 4 x 6
A. Commutative Property
B. Associative Property
C. None of the above
D. Distributive Property
16 ) Which of the following does not show the Commutative Property ?

Answers

The answer is B because I just took the test for my cousin

Travis's income is $7200a month, and he plans to budget 1/2 of his income for rent and 1/6 of his income for electricity.What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms.

Answers

Answer:

Travis plans on spending 2/3 of his income which is $4800

Step-by-step explanation:

1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

7200 / 2 = 3600  rent

7200/ 1/6  = 1200 electricity

3600 +1200 = 4800

4800/7200 = the same as simplified 48/72

We know our 12x table = 4/6

We can simplify 4/6 as 2/3

1. To earn some extra money, Ben mows lawns for people in his neighborhood.​

He earns $18 per lawn and has saved $200 for the season. ​
Write an algebraic equation to represent this situation. ​
Use your equation to determine how much Ben will earn for 21 lawns.

2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories. ​

​Write and solve an equation for the number of snacks eaten.​
Solve for if bubba consumes 3,160 calories today. ​

Answers

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

4/5x 2 1/3
Simplify and write the steps thanks:)

Answers

⅘ × 2⅓ = ⅘ × 7/3 = (4×7)/(5×3) = 28/15 = 1 13/15

f(n)=f(n-1)+3; f(1) = 7

Answers

F=3; f=7 hope this helps !
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