Answer:
Length of the rectangular closet = 4 feet
Step-by-step explanation:
Area of his bedroom = 80 square feet.
The area of his bedroom = 10 times that of his rectangular closet.
Let x = area of his rectangular closet.
80 = 10 * x
80 = 10x
x = 80/10
= 8
x = 8 square feet
If the closet is 2 feet wide, what is its length?
Area of the rectangular closet = length × width
Let y = Length of the rectangular closet
8 Square feet = y feet × 2 feet
8 = 2y
y = 8/2
= 4
y = 4 feet
Length of the rectangular closet = 4 feet
Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a
Answer:
[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]
[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]
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☄ Question : Subtract the following using horizontal method :
i. 2x from -5x-5a from -18a✎ Step - by - step Explanation :
2x from -5xIn horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.
[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]
[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.
[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]
Likewise , Let's do next too:
-5a from 18 a[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]
Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]
And we're done!
Hope I helped!
Have a wonderful time ツ
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Answer:
i)-7x ii)23a
Step-by-step explanation:
i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a
2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.
Answer:15
Step-by-step explanation:
If pqrs is a parallelogram, find the measure of
113
5.67
18
67
Answer:
∠PSR = 113°
Step-by-step explanation:
Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.
7x-13+4x-5=180
11x-18=180
11x=198
x=18
Now plug x back into the angle that opposite from the one you are looking for (they are equal)
7(18)-13 = ∠PSR
126-13 = ∠PSR
113 = ∠PSR
a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
a rectangular box of mass 40 kg has a length of 5m and a width of 8m and a height of 3 m find its density in kg/m3
Answer:
1/3 kg/m3
Step-by-step explanation:
density= mass/volume
mass=40 kg
volume=5m×8m×3m=120m³
density=40kg/120m³=1/3 kg/m³
Answer:
1/3 kg per cubic m or 0.33kg per cubic m
Step-by-step explanation:
density = mass
volume
= 40kg = 40kg
5m x 8m x 3m = 120cubic metres
= 1/3 kg per cubic m or 0.33 kg per cubic m
The 10th power of t
Answer:
t¹⁰
Step-by-step explanation:
The 10th power of t:
t¹⁰
can people answer this pls
Answer:
A
Step-by-step explanation:
my
Answer:
A
Step-by-step explanation:
dhhdhdhdjejdjdjdjdjjd
Which ordered pair is a solution to the equation y=1/3x+19
Answer:
(9,22)
Step-by-step explanation:
1/3 of 9= 3
3+19=22
what is 2/5 x 4 help me please
Answer: 1.6
Step-by-step explanation:
Answer:
1.6
Step-by-step explanation:
2/5×4
=8/5
=1.6
So the answer is 1.6
There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
Answer:
Total Mangoes = 50
Rotten = 46
Step-by-step explanation:
50 divided by 10 = 5.
50 minus 4 is 46.
Solve 3q - 5 = 13 for q.
⇒ Answer:
[tex]q = 6[/tex]
⇒ Step-by-step explanation:
Lets solve!
[tex]3q -5 = 13[/tex]
⇒ First we add 5 to both sides.
[tex]3q -5 = 13[/tex]
[tex]+ 5[/tex] [tex]+ 5[/tex]
[tex]3q = 18[/tex]
⇒ Next we divide both sides by 3.
[tex]\frac{3q}{3} = \frac{18}{3}[/tex]
[tex]q = 6[/tex]
⇒Woohoo! Brainliest Appreciated! Hope I helped!
Answer:
q = 6
Step-by-step explanation:
To solve for q, isolate the variable.
3q - 5 = 13
Move -5 to the right side and perform the inverse operation. Since you were subtracting on the left, add on the right.
3q = 13 + 5
3q = 18
The last step is to isolate the variable by dividing 3 by 18. The reason you divide on the right is because you were multiplying on the left, and you need to perform the inverse operation.
q = [tex]\frac{18}{3}[/tex]
q = 6
What is the length of MN?
Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
what is the value of q in the equation 4/5q = 32
Answer:
40
Step-by-step explanation:
4/5 * q = 32
First you divide 4/5 by itself so you can eliminate it from the equation and then you have to divide 32 by 4/5 n when you do that you get 40. So q = 40.
I need to know what's 1131÷29 pronto
the answer is 39 because you need to divide.
What is the slope of the line?
a. 3
b. 1/3
c. -1/3
d. -3
Answer:
B. 1/3
Step-by-step explanation:
If you look at points (-3,0) and point (0,1). Then you would see the it would take one unit up and 3 units right this would make the slope be 1/3.
How do you determine the x and y-intercepts from an equation or graph?
A tire in Abduls car has just sprung a leak and is losing pressure at a rate of 5% every hour. If the tire pressure is currently 280 kilopascal, what will it be in 18 hours? If necessary round your answer to the nearest tenth
A car travels 61 miles per hour. At this rate, how far will the car travel in 5 hours?
Answer:
305 miles per hour
Step-by-step explanation:
61 miles per hour
61(5)= 305 miles/ hour
Find the slope of the line that passes through: (-3,-4) and (7,6)
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22How can you write the expression 7(b-2) in words?
OA
two subtracted from the quotient of seven divided by b
ОВ,
seven added to difference of b minus two
OC. the quotient of seven divided by b minus two
OD
two subtracted from seven times b
O E, the product of seven and the difference of b minus two
Answer:
E (The product of seven and the difference of b minus two)
Step-by-step explanation:
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.
Answer:
Length = 8 inches
Width = 15 inches
Step-by-step explanation:
A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.
Let:
a = length of painting
b = width of painting
Area of painting = 120 = ab
Pythagorean Theorem says
a² + b² = Diagonal²
a² + b²= 17²
[120 =ab means b= 120/a]
a² + (120/a)² = 17²
Multiply through by a²
a⁴ + 14400 = 289
z² + 14400 = 289z [for now, substitute z for a²]
z² - 289z + 14400 = 0
z² - 64z - 225z + 14400 = 0
z(z - 64) -225(z - 64) = 0
(z - 64)(z - 225) = 0
z - 64 = 0
z = 64
z - 225 = 0
z = 225
Note that:
z for a²
Hence:
a² = 64
a = √64
a = 8 inches
The same applies for b
b² = 225
b = √225
b = 15 inches
Donald bought a box of golf balls for $9.32. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is
compatible with the divisor to estimate the quotient.
Each golf ball costs about $
Answer:
$0.51
Step-by-step explanation:
each golf ball would cost $0.51
someone help me plz i need help
Answer:
3.5x-0.2n
Step-by-step explanation:
just simplify like terms
a brainliest would be greatly appreciated : ) : )
18x + 18
1
18 1
12
+18 Substitute.
+ 18
Multiply.
Answer:
18 x+18
Step-by-step explanation:
did you get a number that it is equals to caz i dont understand how you are suppose to work out 18× +18
what is the solution to this??
4x + 12x =320
then using the solution to this do _x=_
Answer:
x=20
Step-by-step explanation:
Add like terms:
4x + 12x = 16x
16x = 320
320/16 = 20
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please help me
Excellent help needed
Answer:
All of the following have the same solution except b + 2 = 8
Answer:
the answer is D.
Step-by-step explanation:
A. [tex]50 = 5 m = 10=m[/tex]
B. [tex]x-6=4 = x=10[/tex]
C. [tex]w/5=2 = w=15[/tex]
D. [tex]b+2=8 = b=6[/tex]
hope this helps and feel free to give brainiest