The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Answer 1

Answer:

Length 20

Width 15

Step-by-step explanation:


Related Questions

18(3+14) x 6(21+4)
With and without distributive property

Answers

Answer:

45900

Step-by-step explanation:

With Distributive Property:

18(3 + 14) • 6(21 + 4)

54 + 252 • 126 + 24

306 • 150

45900

Without Distributive Property

18(3 + 14) • 6(21 + 4)

18(17) • 6(25)

306 • 150

45900

the shown bellow question answer

Answers

Answer:

The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.

The area of the rectangle can be found by [tex]11*4=44[/tex]

The area of a semi-circle can be found with the formula [tex]\frac{1}{2} \pi r^2[/tex] where r is the radius.

Since we know the diameter of the semi-circle is 4,

the radius will be 4 ÷ 2 = 2.

Therefore, the area of the semi-circle is [tex]\frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi[/tex]

Therefore, the area of the shape is [tex]44+2\pi[/tex] or [tex]50.283cm^2[/tex] (3 decimal places)

Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score
of a man 72.4 inches tall. (to 2 decimal places)

Answers

Answer:  1.21

Work Shown:

z = (x - mu)/sigma

z = (72.4 - 69.0)/(2.8)

z = (3.4)/(2.8)

z = 1.2142857 .... which is approximate

z = 1.21

Z-score of a man who is 72.4 inches tall is 0.45.

Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.

A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:

= ( - ) /

Where:

- is the value we want to find the z-score for (72.4 inches in this case).

- is the mean of the dataset (69.0 inches).

- is the standard deviation of the dataset (2.8 inches).

Plugging in the values:

= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446

Rounded to two decimal places, the z-score is approximately 0.45.

This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.

In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.

This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.

Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.

In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.

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Consider an economy made up of 100 people, 50 of whom hold jobs, 10 of whom are
looking for work, and 15 of whom are retired. The unemployment rate is approximately:

17 percent

10 percent

25 percent

20 percent

12 percent

Answers

Answer:

20 por cento de cada um , que colocar

The unemployment rate is approximately 17 per cent. The correct option is A.

To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).

Given:

Total population = 100

Employed individuals = 50

Individuals looking for work (unemployed) = 10

Total labour force = Employed + Unemployed

Total labor force = 50 + 10 = 60

Unemployment rate = (Unemployed / Total labour force) x 100

Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent

Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.

Therefore, the correct answer is option A.

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David made an error when determining the product of (–2.5)(–8.3).

Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)
Step 2: = (–8.3)(–2) + (–8.3)(–0.5)
Step 3: = (–16.6) + (–4.15)
Step 4: = –20.75

In which step did David make his first error?

Answers

Answer:

step 3

Step-by-step explanation:

when you multiply an even amount of negative numbers you will always get a positive result thus the answe would be 16.6 + 4.15 as in positive numbers

combine like terms and solve x


12x + 3 - 4x - 6 = 5

5x - 4 + 7 + 6x - 4x = 24

Answers

Answer:

12x + 3 - 4x - 6 = 5

x=1

5x - 4 + 7 + 6x - 4x = 24

x=3

Find the slope of the line that passes through the points (4,1) and (-2.7).
What is the slope of a line perpendicular to this line?

Answers

Answer:

the slope=-1 the slope perp=1

Step-by-step explanation:

to find slope perpendicular you just have to multiply your slope by something and have it equal -1

for example

1/2x=-1

the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1

so the slope x perpendicular slope = -1

Can someone please help me solve this…

Answers

Answer:

C = 4s + 6a

C = 4(3) + 6(2)

C = 12 + 12

C = 24

a. 4s + 6a = c

(c being total cost)

b. 4(3) + 6(2) = 12 + 12 = $24.00

Hope this helps!

Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)

Answers

So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1



Sam has $20. She buys 6 bags of chips and has $2 left over. Write and solve an equation to determine the cost of one bag of chips.

Answers

20-6x=2
20-2=6x
18=6x
X=18/6
X=3

what is 916 divied by 320

Answers

Answer:

2.8625

This is 916 divided by 320

Answer:

Full Answer - 2.8625

Rounded - About 3

Nearest Tenth - 2.9

Nearest Hundredth - 2.86

Step by Step:

Shown Below  

Hope this Helps

Express 2x2 + 16x +11 in the form a (x + b)2 + c, where a, b and c are
numbers.
What are the values of a, b and c?

Answers

Step-by-step explanation:

I assume the original expression is

2x² + 16x + 11

we need to get this into the form of a(x + b)² + c

let's do the generic multiplication and compare the result to the given expression :

a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c

when we compare this with the original equation, we only need to look at terms with the same variable exponents.

2x² is the only term with "x²".

and ax² is the only term with "x²" in the generic form.

so ?

2x² = ax²

=>

a = 2

16x is the only term with "x" (exponent 1).

2abx is the only term with "x" in the generic form.

16x = 2abx

8x = abx = 2bx

4x = bx

=>

b = 4

11 is the only pure number (constant).

ab² + c is the only constant term in the genetic form.

11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c

-21 = c

so, the solution is

2(x + 4)² - 21

pls help fast

brainlest to enyone who helps

Answers

Answer:

B STEP 2

Step-by-step explanation:

5/8 is not more than 1

What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?

Answers

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

Please find a... I will mark you brainliest

Answers

Given, consecutive / adjacent angles in a parallelogram are supplementary or make 180°. So, here (5a + 34)° & (3a + 26)° are supplementary angles.

=》5a + 34 + 3a + 26 = 180

=》5a + 3a + 34 + 26 = 180

=》8a + 60 = 180

=》8a = 120

=》a = 120/8

=》 a = 15

______

The picture is not clear, so I hope the values I took are correct.

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

tim gtri nguyen cua x de bthuc B=x+2/can(x) - 1

Answers

Answer:

sorry di ko alam

Step-by-step explanation:

Jack and Shelly have saved up a total of $29.00. Jack has saved 4 dollars more than 2/3 as much as Shelly. How much has Shelly saved?

Answers

Answer:

i think 15 if thats on your answer sheet

Step-by-step explanation:

Answer:15
Step-by-step explanation:
4+12/3)+×=29
4+2/3x+3/3x=29
4+5/3×=29
5/3x=29-4=25
5/3x=25
(5/3x) divided by (5/3)=25 divided by (5/3)
x=15

help please i need it

Answers

Answer:

42m + 12

Step-by-step explanation:

6 ( 7m + 2 )

= 6 ( 7m ) + 6 ( 2 )

= ( 6 * 7m ) + ( 6 * 2 )

= 42m + 12

Answer:

a

Step-by-step explanation:

do distributive property and u get 42m+12

evaluate x-2y when x =0.75 and y =0.96

Answers

Step-by-step explanation:

x = 0,75

y = 0,96

= x - 2y

= 0,75 - 2.0,96

= 0,75 - 1,96

= -1,21

PLZ HELP!!! WILL GIVE BRAINLIEST!!! State whether each conditional is true or false. Write the contra positive for the conditional and state whether the contrapositive is true or false.

1. If you ride a roller coaster, then you will experience sudden drops.
2. If you only have $15, then you can buy a meal that costs $15.65.

Answers

Step-by-step explanation:

TrueFalseHope it is helpful

Answer: question 1   If you are going over the top of a hill or rollercoaster quickly, you could feel your stomach drop or stomach sink. In actuality, it's probably the sensation of all your internal organs shifting slightly in your ribcage as your body defies gravity for a few seconds.

Step-by-step explanation: i do not know the 2 question im sorry mabye question 1 may help if not thaks ok bye :)

Please help with this question

Answers

Answer:

The question or equation is not clear.....

Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.

Answers

Step-by-step explanation:

Lidal : 9 rolls for £3.51

1 roll for 3.51/9 = £0.39

Oldi : 4 rolls for £1.52

1 roll for 1.52/4 = £0.38

so, Oldi has the best value for money when buying toilet rolls.

Find the surface area of the square pyramid below.

Answers

Answer:

Step-by-step explanation:

Answer:

96 cm or B

Step-by-step explanation:

Base-l*w, 6*6, 36

Side 1-(h*w)1/2, (30)1/2, 15

Side 2-Same as 1

Side 3-Same as 1

Side 4-Same as 1

15+15=30, 15+15=30, 30+30=60, 60+36=96

96 cm

A researcher wants to estimate the likelihood that the baseball player will hit 2 home runs in a single game, given that the player hits a home run once in every 13 times at bat. Which type of study is most suitable for data collection in this situation?


A. experimental


B. census


C. survey


D. simulation

Answers

a its it hope it is okkkkkkk

Which of the following sets of ordered pairs is not a function?

{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-4, 3), (-1, 1), (-2, 5), (3, 7)}
{(0, 2), (1, 2), (2, 2), (3, 2)}

Answers

Answer:

1

first choice

Step-by-step explanation:

in a function, the x-value never repeats.

(found in brainly)

Use a calculator . Round to the nearest tenth of a degree given cos 0=0.8458

Answers

0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

7 6/10= ?/? please help

Answers

Answer:

7.6

Step-by-step explanation:

Answer:

76/10

Explanation

7 × 10 is 70 + the 6 is 76/10

you can look up fractions on yt

to get a better explication.

A Distributive Property and GCF

56+42

Answers

Answer:

98

Step-by-step explanation:

you at 56 in to 42

Answer:

98

pa brainless

Step-by-step explanation:

please brainless

pls help ill give brainliest ​

Answers

Answer:

4

Step-by-step explanation:

-5g -6

Let g= -2

-5 (-2) -6

Multiply

10 -6

4

Answer:

A. 4

Step-by-step explanation:

So, we have an equation with a variable (g), and they've given us the value of g to be -2. All we have to do at this stage is plug in the value of g into the equation.

-5g-6 (g=-2)

-5(-2)-6

10-6=4

Doing the math by plugging in -2, you would get your answer to be 4. Let me know if you see any errors, and if you have any further questions at all.

Which numbers are solutions to the equation 30=x2?

Answers

If you meant 2x, x is 15; if you meant x^2, the answer is the square root of 30

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