The area of a rectangle is 130 mm². The length is 3 mm greater than its width. Let x represent the width of the rectangle.
Which equation can be used to solve for x?
O A. 3x = 130
O B. x2 + 3 = 130
C. x(x + 3) = 130
D. (x+3)2 = 130
Answers
Answer:
L = 3 + x
W = x
A = L x W
130 = 3 +( x × x)
B. X2 + 3 = 130
The equation that can be used to solve for x is;
x(x + 3) = 130
Area of a RectangleWe are told that area of a rectangle is;
A = 130 mm².
We are told that length is 3 mm greater than its width.
Now, if the width is x, then
Length = x + 3
Formula for area of a rectangle is;
A = length * width
Thus;
(x + 3)x = 130
x² + 3x = 130
Read more about area of a rectangle at;https://brainly.com/question/13048427
Related Questions
Which of the following expressions is equivalent to 3(22 + 54). Thank you for those who help me
Answers
Answer:
3×22+3×54
as there's bracket, so c is the answer
Answer:
C
Step-by-step explanation:
Please help!!!!!!!!!!!!
Answers
Answer:
A. P = 29.7 m
Step-by-step explanation:
6 + 8 = 14
Now for the diameter of the half circle.
Hypotenuse² = Height² + base²
6² + 8²
36 + 64 = 100
√100 = 10
C = 2πr = 2 · π · 5
≈ 31.42
31.42 ÷ 2 = 15.71
15.71 + 14
29.71
29.71 m ≈ 29.7 m
The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16
Answers
Answer:
The answer is B and BTW AMC STOCKS ARE RISING
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Find the value of x.
Answers
Plz help me well mark brainliest if correct.....????????
Answers
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?
Answers
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)
Answers
Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
I need help ASAP rn please 6th grade math btw
Answers
Answer:
first
Step-by-step explanation:
A= r*pi*r = pi*r²
Answer:
A.
Step-by-step explanation:
The rearranged segments form a rectangle with length (pi)r and width r.
A = LW
A = (pi)r * r
A = (pi)r^2
Answer: A.
Choose all lengths that are equal to4 yards 3 feet. *
5 yards
3 yards 9 feet
15 feet
12 feet 12 inches
150 inches
Answers
Answer:
5 yards
Step-by-step explanation:
3 feet is one yard. add 4 yards and 1 yard and it is five yards.
Plz help me well mark brainliest if correct
Answers
Answer:
61 seconds
Step-by-step explanation:
Answer:
23 seconds
Step-by-step explanation:
The slowest time is 23 second and the fastest time is 61 seconds
The time before the bar is the tens place and each time after the bar is the ones place
No links!!! A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answers
Answer:
1215
Step-by-step explanation:
If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.
So: 972 divided by 1/4 = 972/4 = 243.
972 + 243 = 1215.
Answer:
1215 Students
Step-by-step explanation:
25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!
1. 972/4 (to find 25%)
2. 25% = 243
3. 974 + 243 (old + new)
4. 1215 Students
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie_______.
Jennifer_______.
Answers
Answer:
Corrie = 5 ft. 2 in.
Jennifer = 4 ft. 6 in.
Step-by-step explanation:
If you convert Jason's height to inches then it would be 57 in.
4 x 12 = 48 in. 48 + 9 = 57 in.
To find Corrie's height you just have to add 5 inches to Jason's height.
57 + 5 = 62 in.
And to find Jennifer's height you just subtract 8 inches from Corrie's height.
62 - 8 = 54 in.
Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.
Jennifer's height = 54 / 12 = 4 feet and 6 inches are left over.
Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.
You want to walk from home to a grocery store that is3/4 miles away. You stop for a rest after 5/8 miles. How much farther do you have to walk?
Write your answer as a fraction in simplest form.
Answers
Answer:
1/8 miles
Step-by-step explanation:
You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex] for the answer.
First, you gotta make 3/4 have a common denominator.
To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)
and you get 6/8.
Then you can subtract 6/8 - 5/8 to get 1/8 miles.
And there's no need to simplify 1/8.
A train leaves a station at 10.15am and
gets to another one at 1.15pm. The
average speed between the stations
is 76km/hr. What is the distance?
Answers
9514 1404 393
Answer:
228 km
Step-by-step explanation:
Traveling 3 hours at 76 km/hour, the train covers a distance of ...
distance = speed × time
distance = (76 km/h)(3 h) = 76×3 km = 228 km
Plz help me well mark brainliest if correct!!....
Answers
Answer:
I'm pretty sure it is line plot
How many times larger ?
Answers
Answer:
100,000
Step-by-step explanation:
So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.
When doing division and multiplcation with exponents, you subtract and add.
So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]
The 3, that doesnt have a exponent on top or bottom, cancels out:
So now we have [tex]\frac{10^6}{10^1}[/tex]
Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:
So we have [tex]10^5[/tex]
When you distrubute the ^5, you get:
100,000
So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]
HOpe this helps! :D
I need help with this three problems (with procedure)
Answers
Answer:
13. [tex]x^{3} y^3[/tex] cubic units
14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]
15. 2.68 × [tex]10^5[/tex]
Step-by-step explanation:
A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.
Answers
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?
Answers
Answer:
The kite is 10.8 m above the ground.
Step-by-step explanation:
Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.
Notice that X is the opposite cathetus to the 40° angle, then:
We can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
where, in our case, we have:
θ = 40°
hypotenuse = 15m
opposite cathetus = X
Replacing these in the equation, we get:
Sin(40°) = X/15m
Now we can solve this for X.
Sin(40°)*15m = X = 9.6m
And the actual height of the kite is X + 1.2m
Then:
H = 9.6m + 1.2m = 10.8m
The kite is 10.8 m above the ground.
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
Answers
Answer:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{7}{2}x - 16[/tex]
Required
The difference quotient for h
The difference quotient is calculated as:
[tex]\frac{f(x + h) - f(x)}{ h}[/tex]
Calculate f(x + h)
[tex]f(x) = \frac{7}{2}x - 16[/tex]
[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]
[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]
The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]
Collect like terms
[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]
[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]
So, we have:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]
Rewrite as:
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]
[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]
Answer:
It is A.
Step-by-step explanation:
Just took the test
Mr. Jones bought a used car. He paid $2,400 plus sales tax. The sales
tax was 8%. How much did he pay in sales tax?
Answers
Answer:
Mr. Jones paid $192 in sales tax.
Step-by-step explanation:
8 x 2400 = 19200
19200/100 = 192
Which of these is an example of a continuous random variable?
A. Points scored in a basketball game
B. Altitude of an airplane
C. Number of letters in a mailbox
D. Number of heartbeats in a minute
Answers
a number cubed decreased by 1 is equal to the product of the number and 12
Answers
Answer:
x³ - 1 = 12x
Step-by-step explanation:
A number cubed decreased by 1 is equal to the product of the number and 12
x³ - 1 = 12x
Luci and her friends go out to lunch and receive a bill
for their meals that reads $56.80. They added a 20%
tip to their bill before tax was calculated. Tax is 8%.
How much money did they leave in total, including tax
and tip? Round to the nearest cent. Show your work.
Answers
Answer:
$72.70
Step-by-step explanation:
bill was $56.80
tip was 20% so was 56.80/ 5( because 5 of 20% will make 100%)= $11.36
tax was 8% so was 56.80*8/100= $4.54
total money paid
56.80+4.54+11.36 = 72.70
use special right triangle:
What is the length of (BD)
What is the length of (BC)
Answers
Answer:
BC = 6.9
Step--step explanation:
Reference angle = 30°
Adjacent = BC
Hypotenuse = 8
Apply trigonometric function, CAH:
Cos 30° = Adj/Hypotenuse
Cos 30° = BC/8
8*Cos 30° = BC
6.92820323 = BC
BC = 6.9 (to the nearest tenth)
Plsss help me
what is 1 1/2 divided by 2/5? Show your work.
Answers
Answer:
3.75 or 3 3/4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.5/.4=3.75
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]\frac{3 times 5 }{2 times 2}[/tex]
[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]
PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS
Answers
15. 29
sorry if i’m wrong!
brainliestt
for righto
Answers
Answer:
Hello! answer: 13/16
Hope that helps!
please help asap!!!!
Answers
Answer:
12inches
Step-by-step explanation:
9:25 p.m. in 24 hour time is written a
Answers
Answer:
21:25
Step-by-step explanation:
9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.