The length of a rectangle is 3 meters less than four times the width the perimeter of the rectangle is 74 meters. find the length and width of the rectangle

Answers

Answer 1

width = perimeter/2 - length

w = 74/2 - 5 = 32

32/4 = 8 - 3 = 5


The length of the rectangle is 5.

The width of the triangle is 32

Answer 2
Final answer:

As per the given values, the length of the rectangle is 29 meters and the width is 8 meters.

Explanation:

To find the length and width of the rectangle, we can use the information given: the length is 3 meters less than four times the width, and the perimeter is 74 meters. Let's assume the width is 'w' meters. So, the length would be '4w - 3' meters. The perimeter of a rectangle is found by adding the lengths of all its sides, which in this case is twice the length plus twice the width.

We can set up an equation to solve for 'w': 2(4w - 3) + 2w = 74. Solving this equation will give us the width of the rectangle, and we can substitute that value back to find the length.

Step 1: Set up the equation:

2(4w - 3) + 2w

= 74.

Step 2: Simplify the equation:

8w - 6 + 2w

= 74.

Step 3: Simplify further:

10w - 6 = 74.

Add 6 to both sides.

Step 4: Continue to simplify:

10w = 80.

Divide both sides by 10.

Step 5: Solve for 'w':

w = 8.

The width of the rectangle is 8 meters.

Step 6: Find the length

= 4w - 3

= 4(8) - 3 = 32 - 3

= 29 meters.

Learn more about Finding the length and width of a rectangle here:

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Related Questions

How do I find the missing side for question 39

Answers

Hello from MrBillDoesMath!

Answer:

#39 6.1 (approx)

$41  14.6 (approx)

Discussion:

# 39

From plane trigonometry

cos(69)  = x/17  or

x = 17 * cos(69)   = 6.1 (approx)



#41

sin(59) = x/17 or

x = 17 * sin(59) =  14.6 (approx)


Regards,  

MrB


You spent z dollars today. Today, you spent 5.5 times as many dollars as you spent yesterday. Which expression correctly shows how much you spent yesterday?



5.5z



5.5 ÷ z



5.5(1 − z)



z ÷ 5.5



none of the above

Answers

Answer:

Z ÷ 5.5

Step-by-step explanation:


The correct expression to show how much was spent yesterday when z dollars were spent today and that amount is 5.5 * the spending of yesterday is z divided by 5.5.  The correct answer is option (D) z ÷ 5.5.

If you spent z dollars today and that amount is 5.5 * what you spent yesterday, to find out how much you spent yesterday, you would divide the amount spent today by 5.5. This is because the relationship between what was spent today (z dollars) and what was spent yesterday is multiplicative. Today’s spending (z) is equal to 5.5 * yesterday’s spending, so to find out what you spent yesterday, you would express it as z divided by 5.5.

Thus, the correct answer to the student's question is option (D) z ÷ 5.5.

PLEASE HELP!!!!!!!!!30 POINTS!!!!!!!!!!!!!!!!!!!!PRETTY SIMPLE QUESTION!!!!!!!

Which correctly describes how the graph of the inequality −4y − x ≥ 7 is shaded?

Above the solid line
Below the solid line
Above the dashed line
Below the dashed line

Answers

Answer:

Below the solid line.

Step-by-step explanation:

When you solve for y, you will have a less than or equal to sign, so the shading is below the line.

Answer:

Below the solid line

Step-by-step explanation:

−4y − x ≥ 7

We need to solve for y

Add x to each side

−4y − x +x≥ 7+x

-4y   ≥ 7+x

Divide each side by -4.  Remember to flip the inequality

−4y/-4 ≤ (7+x)/-4

y ≤ -1/4 x - 7/4


Y is less than or equal to the value so the line is solid (equals sign)

and below  ( less than)


[tex]100 \div 100 = 1000[/tex]
right or wrong

Answers

Answer:

Wrong

Step-by-step explanation:

100 divided by 100 would simply be equal to one.

If you had 100 things and split it into 100 groups, you'd have 100 groups of just one single thing.

Answer:

false

Step-by-step explanation:

100÷ 100 = 1000

100/100 = 1

You are dividing something by itself.

Something divided by itself is 1


George’s parents are saving for his college fund. They put $5,000 into an interest bearing account with a compound interest rate of 5.5%. George’s parents want to determine what the balance of his college fund account will be after 15 years. Using the formula a=p(1+r)^t , which is the correct substitution for the formula? a=5000(1+0.055)^15 a=5000(1+0.055)15 a=5000(1+0.055)^5.5 a=(5000+0.055)+1^15

Answers

Answer:

a=5000(1+0.055)^15

Step-by-step explanation:

p= amount in present

r=interest

t= period of time

Answer: [tex]a=5000(1+0.055)^{15}[/tex]

Step-by-step explanation:

Given : George’s parents put $5,000 into an interest bearing account with a compound interest rate of 5.5%.

i.e. Principal amount : [tex]p=\$5,000[/tex]

Rate of interest : r=5.5%=0.055

George’s parents want to determine what the balance of his college fund account will be after 15 years. i.e. t= 15

Substitute all the values of p , r at t in the given formula [tex]a=p(1+r)^t[/tex], we get

[tex]a=5000(1+0.055)^{15}[/tex]

Hence, the correct substitution for the formula = [tex]a=5000(1+0.055)^{15}[/tex]

4 lbs of onions cost $12. How many lbs of onions can you get with $147? PLEASE SHOW WORK....

Answers

Answer:


Step-by-step explanation:if is it 12 per. pound just divide 147 by 12 and you get your answer hope it was helpful


Answer:

49 lbs of onions

Step-by-step explanation:

147/12 = 12.25

12.25 x 4 = 49

WILL MARK BRAINLIEST!!! : ) Need an answer now! Thanks
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.

Which graph represents this wage increase for x < 12?

Answers

Answer:

I think it's the third!

Step-by-step explanation:


Answer:

The answer is the 3rd one : )


General conic equation

Answers

There are 3 types of conics: parabola, ellipse, and hyperbola.

Equation of a parabola: y = a(x - h)² + k   or x = a(y - k)² + h

Equation of an ellipse: [tex]\frac{(x-h)^{2}}{a} +\frac{(y-k)^{2}}{b} =1[/tex]

Equation of a hyperbola: [tex]\frac{(x-h)^{2}}{a} -\frac{(y-k)^{2}}{b} =1[/tex]


The general equation for all of them is:

Ax² + Bxy + Cy² + Dx + Ey + F = 0  ; A, B, C, D, E, F ∈ Integers

The table shows the number of miles driven over time. Express the relationship between distance and time in simplified form as a unit rate.

Time (hours)
4
6
8
10

Distance (miles)
188
282
376
470


Answers

Answer:

Relationship between distance and time in simplified form as a unit rate is; [tex]\frac{47}{1}[/tex]

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1, such as 5 feet per second or 3 miles per hour, they are called unit rates.

Unit rate = [tex]\frac{distance}{time}[/tex]

From the given table:

Take any

time = 4 hours and distance= 188 miles

then, by definition of unit rate;

Unit rate = [tex]\frac{188}{4} =\frac{47}{1}[/tex]

Since, this is the constant rate.

Therefore, the relationship between distance and time in simplified form as a unit rate is; [tex]\frac{47}{1}[/tex]



Which are the x-intercepts of the graphed function?

Answers

-3 and 1 because that is the point in which the line crosses the x axis

Answer:  the correct option is

(B) (-3, 0) and (1, 0).

Step-by-step explanation:  We are given to find the x-intercepts of the graphed function.

We know that

x-intercepts of a function are the points on the X-axis through which the graph of the function is crossing.

From the graph, we see that

the curve is crossing the X-axis at the points (-3, 0) and (1, 0).

Therefore, the x-intercepts of the given function are (-3, 0) and (1, 0).

Option (B) is CORRECT.

parallelogram JSTP∼parallelogram BFMY


Drag the answers into the boxes to match each part of parallelogram JSTP with the corresponding part of parallelogram BFMY .

Answers

Answer:

[tex]\angle P=\angle Y;[/tex]

[tex]\overline {ST}[/tex] and [tex]\overline {FM};[/tex]

[tex]\angle T=\angle M;[/tex]

[tex]\overline {JP}[/tex] and [tex]\overline {BY}.[/tex]

Step-by-step explanation:

Similar figures have proportional corresponding sides and congruent corresponding angles. If parallelogram JSTP is similar to parallelogram BFMY, then

[tex]\angle J=\angle B;[/tex] [tex]\angle S=\angle F;[/tex][tex]\angle T=\angle M;[/tex][tex]\angle P=\angle Y;[/tex][tex]\dfrac{JS}{BF}=\dfrac{ST}{FM}=\dfrac{TP}{MY}=\dfrac{JT}{BM}=\dfrac{JP}{BY}=\dfrac{SP}{FY}.[/tex]

Answer:

Step-by-step explanation:

p=y

by looking at the end of the angles you can tell that P is corresponding to y

ST=FM

since both are in the middle of their angles they are both considered a corresponding

T=M

both are the third within their angle there for corresponding

JP=BY

both are within the same place with therefore equal

74.362 to the nearest tenth

Answers

Answer:

73.4

Step-by-step explanation:

When they ask for the nearest tenth you check the hundreth, it its 5 or ore than you increase the tenth

The number 74.362 would round down to 74.4

For Rounding some number to a specific value is making its value simpler mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to round  74.362 to the nearest tenth,

To round 74.362 to the nearest tenth, we need to look at the digit in the hundredth place, which is 2. Since 2 is less than 5, we round down and keep 4.

Therefore, rounding 74.362 to the nearest tenth gives us 74.4.

Learn more about rounding numbers  here:

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i need help with these problems please show your work

Answers

9.)

The image of point (-6, 2) after a 90° counterclockwise rotation is (-2, -6). This is because a 90° counterclockwise rotation is the same as a 270° clockwise rotation, which is (x, y) → (-y, x).

10.)

The image of point (-9, 3) after reflective it over the line y = x is (3, -9). This is because a reflection over the line y = x is (x, y) → (y, x).

11.)

The blank is "rigid" because rigid transformations preserve length.

john is 5 3/4 ft tall how tall is john in inches

Answers

Every foot is 12 in. So 12 in times 5 equals 60 and 3/4 x 12 is 9 so your answer is 9

John's height from feet to inches is a total of 69 inches.

The question asks how tall John is in inches if he is 5 3/4 feet tall.

To convert feet to inches, you use the fact that one foot equals 12 inches. You need to multiply the whole number of feet by 12 and then add the inches that result from the fractional part.

Step 1: Convert the whole number of feet to inches. John is 5 feet tall, and each foot is 12 inches:

5 feet x 12 inches/foot

= 60 inches

Step 2: Convert 3/4 of a foot to inches. Since there are 12 inches in one foot, you calculate 3/4 of 12:

3/4 x 12 inches

= 9 inches

Step 3: Add the number of inches from the whole feet and the fractional foot together to get John's height in inches:

60 inches + 9 inches = 69 inches

John is 69 inches tall.

two angles in a triangle mesaure 65 degrees and 75 degrees what is the measure of the third angle of the triangle

Answers

Answer:

40°

Step-by-step explanation:

The interior sum of a triangle is 180°.  Since we have two known angles we will subtract those values from 180 to obtain our third angle and so:

180°-65°-75°=40°


Answer:

Not sure but i think its 45°.

Step-by-step explanation:

Carlos writes 1/8 of a page in 1/2 of a minute. How many pages will he have written in one minute?

Answers

Answer:

1/4 pages


Step-by-step explanation:

1/8 page in 1/2 minutes

X number of pages in 1 minute


Answer:

2/8

Step-by-step explanation:

Since 1/2 a minute is 1/8 of a page. One full minute would mean another 1/2, so that means we need another 1/8, and 1/8 + 1/8= 2/8


someone halp what 1+1 idk eee

Answers

Answer:

2

Step-by-step explanation:


Answer: 1+1 =2

Step-by-step explanation: If you add 1 plus another 1 you would just have to add and you will find 2.

Nate finishes his garden at 4:47 p. After pruning his roses for 18 minutes and watering his vegetables for 45 minutes. What time does Nate finish gardening?

Answers

he finish his gardening at 5:50 p.m.

7d to the 2nd power plus 10

Answers

Hey there!

"[tex]7d[/tex] to the [tex]2^n^d[/tex] power"  would look like this → [tex]7d^2[/tex][tex]Plus[/tex] → [tex]+[/tex][tex]10[/tex] →[tex]10[/tex]

If you're trying to [tex]translate[/tex] this particular equation, you could say...

[tex]\boxed{7d^2+10}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

airline ticket prices for a concert increase from 800 to 1000 what is the percent of the increase

Answers

Answer:

25% increase

Step-by-step explanation:


Answer:The answer is 300 percent.


Step-by-step explanation:

If you add 300 to the answer it equals 1000 so the answer is 300

i need help thx so much

Answers

Answer:

$40.51

Step-by-step explanation:

sales tax = original price * tax rate

tax rate = 10 percent = .10

sales tax = 405.10 * .1

                 = 40.51

What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)

Answers

The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).

Substitute x = 5 to the polynomial:

[tex]f(5)=3(5^3)-4(5^2)+2(5)+8=3(125)-4(25)+10+8\\\\=375-100+18=275+18=293[/tex]

Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.

what is the square root of 850

Answers

The square root of 850 is about 29.15

help me please help me

Answers

Answer:

1st=300,000         2nd=50

Step-by-step explanation:


PLEASE HELP ME! 44 points and will mark brainliestttt
The graphed line shown below is Y=-2X-8
Which equation, when graphed with the given equation, will form a system that has infinitely many solutions?


A Y=--(2X+8)
B y= -(2x-8)
C y=-2 (x-4)
D y= -(-2x+8)

Answers

Answer:

a

Step-by-step explanation:

no need

3/4+7/12 adding and subtracting fractions with value

Answers

Answer:

1 1/3

Step-by-step explanation:

Change 3/4 to 9/12 and then add 9/12 and 7/12.

You get 16/12 and then simplify it by dividing it by 4.

A figure is dilated by a factor of 3. Which statement about measurements of image is ture

Answers

the measurement will be itself multiplied by 3 and will rotate around the same point

Beanbag chairs it normally sell for $36.30 on sale for $32.12 find the percent of discount

Answers

Answer:


Step-by-step explanation:


prove the angle sum property of a triangle

Answers

Answer:

ANGLE SUM PROPERTY OF A TRIANGLE

Step-by-step explanation:

PROPERTY 1  :   Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

PROOF : Draw a triangle , then mark each angle as A , B , and C . then take a compass and mark three ark in three sides of a triangle and cut the angles of B and C , then join the two angle B and C with angle A . Then you will find there a COMPLETE ANGLE .

The sum of the measures of angles of triangle is equal 180°.

Look at the picture.

We have the congruent corresponding angles and the vertical angles.

Caleb is 4 times Jessica's age Jessica is twice Noah's age Noah is one year older than Mary Mary is 3 yrs old how old is Caleb

Answers

Mary is 3. add one on to get Noah's age: 4. Multiply Noah's age by 2 to get Jessica's age: 8. Multiply Jessica's age by 4 to get Caleb's age: 32.
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