The sketches below show cat's and Fred's driveways. If the perimeter of each others of their driveways is the same, what is the length and width of Cat's driveway?
Answers
Answer:
40,12
Step-by-step explanation:
u count how many x's u have.4(for the first square)
add up the regular numbers
so u should have4x+50
repeat for the second one
so u should have 4x+25=6x+20
solve
u get 2x=30 simplify
u get 15
now plug it in and there is ur answer
The value of length and width for Cat's driveway are 25 ft and 7.5 ft respectively.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
The length and width of Cat's driveway are 25 ft and x ft respectively.
And, the length and width of Fred's driveways are 2x ft and x + 10 ft respectively.
The perimeter of a rectangle is given as,
2(l + b)
Substitute the values to obtain the perimeters as,
Perimeter of Cat's driveway = 2( x + 25) ft
And, perimeter of Fred's driveway = 2(2x + x + 10) ft.
As per the question,
2( x + 25) = 2(2x + x + 10)
=> ( x + 25) = (2x + x + 10)
=> x = 15/2
= 7.5
Hence, the length and width of Cat's driveway are 25 ft and 7.5 ft respectively.
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Related Questions
The price of a mountain bike is decreased from $250 to $220 by what percent is the price decreased?
Answers
charles leaves the marina and sails his boat 10° west of north for 1.5h at 18km/h. he then makes a right turn to a heading of 60° east of north and sails for 1 2h at 20km/h a) at the end of time how far is charles from his starting point to his nearest km
Answers
The total distance from Charles' starting point at the marina to his destination is calculated by adding the vectors representing each leg of his journey and using the Pythagorean theorem to find the length of the resultant vector. This comes out to be approximately 40 km.
Explanation:This problem can be solved using vector addition and the Pythagorean theorem. Charles’ first leg of the journey is 10° west of north, therefore we could consider it as a vector directed north-west. Charles travels 1.5h at 18 km/h, therefore the lenght of this vector is 27km. Charles’ second leg of the voyage heads 60° east of north, that could be considered as a vector heading north-east. He sails for 1.5h at 20 km/h resulting in a vector of 30 km.
Now, if we place these two vector head to tail keeping their direction intact, we form a right triangle. Using Pythagorean theorem, the hypotenuse of the triangle will give us the distance from initial to final point. Therefore, the formula becomes √(27² + 30²) = √(729 + 900) = √1629 ≈ 40.36 km which is approximately 40 km to the nearest kilometer.
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What is the value of t in the equation t+12=30 ?
Answers
lol answer is 18
hope this helped
Reorder the terms: 12 + X = 30
Solving 12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
Combine like terms: 30 + -12 = 18 X = 18
Simplifying X = 18
What is the value of x?
Answers
x^2 = 9*16
x^2 = 144
x = 12
9/x = x/16
x^2 = 9 * 16
x^2 = 144
x = 12
Becky owes $250 on her credit card. She pays off $120 but then uses the card to purchase $50 worth of art supplies for her students. How much money does Becky have now?
Answers
Convert 0.18888888 to a fraction
Answers
That's the fraction in simplified form.
0.18888888= -------------
12500000
A scuba diver is swimming 30 feet below sea level. A hang glider passes over the position of the scuba diver. The hang glider is 215 feet above sea level. What is the distance between the scuba diver and the hang glider? A) 185 feet B) 245 feet C) -185 feet D) -245 feet
Answers
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
Answers
the answer is line because a line has no beginning nor end
In 34 pound of a spice mix, there is 56 cup of cinnamon.
How much cinnamon does the spice mix contain per pound?
5/8 cup
9/10 cup
1 1/9 cups
1 3/5 cups
Answers
56 cups cinnamon
------------------------- = 1.64 cups of cinnamon per pound.
34 pounts
This result (11/17 cups/lb) does not match any of your 4 answer choices, but is closest to 1 3/5 cups/lb.
To determine the amount of cinnamon per pound of the spice mix, divide the total cups of cinnamon (56) by the total pounds of the mix (34), resulting in approximately 1.647 cups per pound. This equates to 1 3/5 cups of cinnamon per pound, which is the closest option.
Explanation:The question asks us to calculate how much cinnamon is contained in each pound of a spice mixture if we know that there are 56 cups of cinnamon in 34 pounds of the spice mix. To find the cinnamon content per pound, we'll divide the total number of cups of cinnamon by the total number of pounds of the spice mix.
Here is the calculation:
56 cups cinnamon / 34 pounds spice mix = cups per pound.
Doing the division, we get: 56 / 34 = 1.647 cups, which we need to express as one of the provided options. The nearest option to 1.647 is 1 3/5 cups, or 1.6 cups, when rounded to the nearest fraction.
Therefore, the spice mix contains 1 3/5 cups of cinnamon per pound.
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
Answers
Answer:
In explanation...
Step-by-step explanation:
2y = 4x + 4 and y = -2x - 2 is Neither
4y = 2x - 4 and y = -2x + 9 is Perpendicular
y = 2x + 4 and 2y = 4x - 7 is Parallel
Hope this helps.
This is a different question that I am answering because the question I am talking of said perpendicular, parallel, or neither rather than parallel, perpendicular or neither. Srry.
what fraction is a equivalent to 0.1. repeating
Answers
10x=1.1...
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9
tasha fnished a job in 3/4 hour. megan finished it in 4/5 of the time tasha took. how long did megan take to finish the job?
Answers
4/5 of 45 min = 36 min
Megan took 36 min to finish the job
suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you must work to earn at least $125
Answers
with that out of the way, the keyword "at least" makes it so that you can get 125 or more in t hours.
The inequality is $125<=7.25t.
Now you can use the guess and check method, for this example we'll use t=18 and t=17.
7.25(18)=$130.5
7.25(17)=$123.25
Therefore, the answer is 18, because 18 gives you a number greater than or equal to $125
Find three numbers between -0.55 and -0.54
Answers
Gus is making a Chilli recipe that calls 3 parts beans to five parts ground beef .if he is using 8 cups of ground beef for a big family dinner, how many cups of beans will gus need?
Answers
Carlos completed 7 of 10 passes. Th completed 21 of 30 passes. Compare Their pass-completion rates?
Answers
(you need the same denominator to compare)
21/30
Carlos and Th completed the same amount of passes
hope this helps
Carlos was 7 out of 10 = 7/10= 0.7 = 70%
Th was 21 out of 30 = 21/30 = 0.7 = 70%
they have the same rate
15=7-x find x please
Answers
Tom Quig traveled 260 miles east of St. Louis. For most of the trip he averaged 60 mph, but for
3)
one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was
7 hours, how many miles did he drive at the reduced speed?
Answers
260 minus 180 is 80. 80 divided by 20 is 4.
4 plus 3 is 7
1. Rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. Rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. What percent is equivalent to two-thirds?
Answers
_________________
1) [B]: "12.5%" .
_________________
2) [B]: "70.9%" .
_________________
3) "66[tex] \frac{2}{3} [/tex]%" ; or, "66.6666... % " ; or, round to: "66.667 %" ;
or; round to: "66.67%" .
_____________________________________
Explanation:
_____________________________________
1) "Rename one-eight as a percent".
→ [tex] \frac{1}{8}[/tex] = 1 ÷ 8 = 0.125 ;
→ [tex] \frac{x}{100}[/tex] = 0.125 ;
→ x = 0.125 * 100 = {move the decimal point in the number, "0.125"; two spaces forward, since we are MULTIPLYING, by "100" (which has 2 zeros);
→ x = 12 * 100 = 12.5 .
So: → [tex] \frac{12.5}{100}[/tex] = 12.5 % ; since "12.5 % = 12.5/100 "
_____________________________________
Other method:
_____________________________________
→ [tex] \frac{x}{100}[/tex] = [tex] \frac{1}{8}[/tex] ;
→ x = 100 * [tex] \frac{1}{8}[/tex] ;
→ x = [tex] \frac{100}{1}[/tex] * [tex] \frac{1}{8}[/tex] ;
= [tex] \frac{100*1}{1*8} [/tex] ;
= [tex] \frac{100}{8} [/tex] ;
→ x = 12.5 ;
→ [tex] \frac{x}{100} [/tex] = [tex] \frac{12.5}{100} [/tex] = 12.5% ;
→ 12.5 % = [tex] \frac{12.5}{100} [/tex] ;
= ?
→ {Take the "12.5" & move the decimal backward TWO (2) places, since we are "dividing" by "100" (which has 2 "zeros") ;
= 0.125 = [tex] \frac{125}{100}[/tex] = [tex] \frac{1}{8} [/tex].
_________________________________________________
2) "Rename "0.709" as a percent."
===> [tex] \frac{x}{100} [/tex] = 0.709 ;
→ x = 0.709 * 100 = ? ;
Note: Take the "0.709" ; & move the decimal place "2 (TWO)" spaces forward, since are MULTIPLYING by "100" (which has 2 zeros); to get:
→ x = 70.9 ;
→ x = 0.709 * 100 = 70.9 ;
→ [tex] \frac{x}{100} [/tex] = [tex] \frac{70.9}{100} [/tex] = 70.9% ;
→ which is: Answer choice: [B] .
→ 70.9% = [tex] \frac{70.9}{100} [/tex] = ? ;
{take the "70.9" ; and move the decimal point backwards TWO (2) decimal places; since we are DIVIDING by "100" (which has "2 (two) zeros") ;
→ 70.9% = [tex] \frac{70.9}{100} [/tex] = 0.709 .
__________________________________________________
3) What percent is equivalent to two-thirds?
__________________________________________________
→ [tex] \frac{x}{100} [/tex] = [tex] \frac{2}{3} [/tex] ;
x = [tex] \frac{2}{3} [/tex]*100 ;
= [tex] \frac{2}{3} [/tex]*[tex] \frac{100}{1} [/tex] ;
= [tex] \frac{2*100}{3*1} [/tex] ;
= [tex] \frac{200}{3} [/tex] ;
= 66[tex] \frac{2}{3} [/tex] ;
→ { 66[tex] \frac{2}{3} [/tex] } / 100 = 66 [tex] \frac{2}{3} [/tex] % ;
or, write as: 66.666666....% ; or, round to:
66.67%
{since: " [tex] \frac{2}{3} [/tex] " = 2 ÷ 3 = 0.66666..." .
______________________________________________
One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.
Converting Fractions and Decimals to Percents
To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.
To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.
Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.
Help me please To solve the task Mrs. Hilt had $4,000 in her savings account. She earned 10% interest each year. If she left that money in the account for one year, how much will she have in the account at the end of that year?
Answers
Mrs. Hilt will have $4,400 in her savings account at the end of one year after earning 10% interest on her initial $4,000 deposit.
To solve the task of determining how much Mrs. Hilt will have in her savings account after one year, we need to calculate the interest earned and add it to the original amount. Mrs. Hilt has $4,000 in her account, and the annual interest rate is 10%.
The interest Mrs. Hilt will earn in one year is calculated by multiplying the principal amount by the interest rate: $4,000 x 0.10 = $400. Therefore, the total amount in the account after one year, which includes the original principal and the interest earned, is $4,000 + $400 = $4,400.
In summary, Mrs. Hilt will have $4,400 in her savings account at the end of one year, based on a 10% annual interest rate.
The slope of the line below is negative 1/7 write the point slope equation of the line using the coordinates of the labeled point? Plz help I'll give brainliest answer
Answers
m=-1/7
x1=3
y1=3
y-3=-1/7(x-3)
The correct answer is a.
How do I solve this math Distribute and Combine Like Terms Maze -4(3-5x)-4x
Answers
-12+20x-4x
Combine like terms:
-12+16x
and you are done
Deon plans to ride a 15 mile bicycle trail. If his average speed 20 mile per hour which equation can he use to find the time t in hour for the ride
Answers
Answer:
See below
Step-by-step explanation:
Distance = rate * time
Distance / rate = time
15 / 20 = time = 3/4 hr = 45 min
The graph of g(x) is a transformation of the graph of f(x)=3x .
Graph of an exponential function labeled g of x. The horizontal axis ranges from negative 5 to 5 in increments of 1. The vertical axis ranges from negative 5 to 5 in increments of 1. The graph passes through begin ordered pair 2 comma 0 end ordered pair and begin ordered pair 3 comma 2 end ordered pair. These points are labeled. The graph approaches the line y equals negative 1 to the left on the graph.
Enter the equation for g(x) in the box.
g(x) =
Answers
m = Δy/Δx = (2-0)/(3-2) = 2
Use point (2,0) to find b:
y = mx + b
0 = 2(2) + b
b = -4
So, g(x) = 2x - 4
it the one that go from -10 to 6 then up
(24-18)×(32÷4)
please help me with this
Answers
(32/4) = 8
6 x 8 = 48
48 is your answer
first do the parethensis, and then multiply
follow PEMDAS
hope this helps
(6)×(8)
6×8
48
Harriet counts 15 big boxes and 12 small boxes of notebooks. Each large box contains 189 notebooks, and each small box contains 79 notebooks. Estimate the total number of notebooks. Is your estimate an overestimate or an underestimate? Explain why it is better to have an overestimate than an underestimate.
Answers
Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.
Answers
The answer is 6
Write the equation in slope-intercept form:
x - y = 4
Question 8 options:
a) y = -4x
b) y = x - 4
c) y = 4x
d) y = x/4
Answers
How do you find the perimeter of a polygon
Answers
The answer is A because 7 + 24 + 25 = 56 (cm)
Like terms that have the same ____,with each variable raised to the same exponent.
A. Operation(s)
B. Variable(s)
C. Expression(s)
D. Exponent(s)