Answer:
5 feet
Step-by-step explanation:
5(2) + 2 = 12
12 x 2 = 24
5 x 2 = 10
10 + 24 = 34.
Hope It Helps!
The dimensions of a rectangle are;
Length = 32 feet
Width = 15 feet
Here,
The length of a rectangle is 2 feet more than twice the width.
The perimeter of a rectangle is 34 feet.
What are the dimensions of the rectangle?
The two main dimensions of a rectangle are length (L) and width (W).
Now,
Let width of the rectangle is x
Then, length of rectangle is 2x + 2
The perimeter of a rectangle is 34 feet.
⇒ x + x + (2x + 2) +( 2x + 2) = 34
⇒ 6x + 4 = 34
⇒ 6x = 30
⇒x = 5
Hence, The dimensions of a rectangle are;
Length = 2x + 2 = 32 feet
Width = x = 15 feet
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Some liquid will be poured from a 16 ounce container until it is filled to the percent of the the larger container (87.5%).How many ounces of liquid must be poured from to reach the full 16 ounce container?
Answer:
16 ounces
Step-by-step explanation:
First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container
The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:
100/87.5×16 ounces= 18.285 ounces in liquid capacity
Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)
Simplify
4x + 2y + x2 - x + 3 - x2 - 5
A. 3x2 + 5y - 8
B. 2x2 - 3x + 2y - 2
C. -5x + 2y - 2
D. 4x2 - 2y + 5x + 8 help help help pls help
Answer:
b
Step-by-step explanation:
u just have to think about it
Compare the values.
9x 102 is
?
times as much as 3 * 10-2,
6 x 10°
3 x 10-4
6 x 104
3 x 104
Answer: its 3 x 10^4
Step-by-step explanation:
i got it correct on my test
Answer: 3 x 10^4
so the third option hope this helps.
The present age of father is thrice as old as the age of daughter 5 years ago. If 5 years hence ,the age of father will be twice the age of his daughter. Find their present ages
Answer:
Hence the daughter's present age is 15 years
The fathers present age is 35 years
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
Hence the daughter's present age is 15 years
The fathers present age is 35 years
Which product will result in a sum or difference of cubes?
O (x + 7)(x2 – 7x + 14)
O (X + 8)(x2 + 8x + 64)
O (x – 9)(x? mox +81)
O (X – 10)(x2 – 10x + 100)
Answer:
(x – 9)(x² + 9x+81)
Step-by-step explanation:
The sum of cubes of a and b is given by:
a³ + b³ = (a + b)(a² - ab + b²)
While the difference of cubes is given as:
a³ - b³ = (a - b)(a² + ab + b²)
1) (x + 7)(x² – 7x + 14) = x³ -7x² + 14x + 7x² - 49x + 98
= x³ -35x + 98
2) (X + 8)(x² + 8x + 64) = x³ + 8x² + 64x + 8x² + 64x + 512
= x³ + 16x² + 128x + 8³
3) (x – 9)(x² + 9x+81) = x³ + 9x² + 81x - 9x² - 81x - 729
= x³ - 9³
4) (X – 10)(x² – 10x + 100) = x³ - 10x² + 100x - 10x² + 100x - 1000
= x³ - 20x² + 200x - 10³
pls help with this math question
Answer:
its x>-249
Step-by-step explanation:
this should be the answer cause x is 0 on the line and the 249 is negative so its much less than 0
Fill in the blank to create a true equation:
-27 + _ = 0
7 + _ = 0
-3 + _ = +1
-7 + _ = -1
Answer:
27
-7
4
6
Step-by-step explanation:
Mental math.........
Answer: I do not know
Step-by-step explanation:
I dropped out of 2nd grade
The rectangular diagram shows the design for a food court at the zoo. What is the length of the walk way?
Answer:
Step-by-step explanation:
we have a triangle, one leg is 40, one leg is 30
c^2=40^2+30^2
c^2=1600+900=2500
c=[tex]\sqrt{2500}[/tex]=50
Solve 2^x+1=1/8
The solution is x =
using the slope formula, find the slope of the line through the given points (8,0) and (2,-4)
Answer:
m=2/3
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
here are the given points: (8,0) and (2,-4)
label the points
x1=8
y1=0
x2=2
y2=-4
substitute into the equation
m=(-4-0)/(2-8)
m=-4/-6
m=2/3
the slope is 2/3
What is the area of the shaded region in the figure below? Use 3.14 for pie
Answer:
200.96 = area of Shaded portions.
Step-by-step explanation:
Area of the 2 stars.
I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star
Area of 1 star = 4 * (1/4) pi * r^2
Area of 1 star = 3.14 * 4^2
Area of 1 star = 50.24
Area of both stars = 100.48
Area of the 4 semicircles at each end
The 2 semicircles at one end figure = 1 circle
The two circles gives the total area of the 4 semicircles.
Area 1 circle = pr * r^2
Area 1 circle = 3.14 * (8/2)^2
Area 1 circle = 50.24
There are 2 such circles = 100.48
Total area of both results
Total Area = 100.48 + 100.48
Total Area = 200.96
What is the value of C in this formula?
In a cooking class there are 9 women and 3 men. Find the ratio of women to men.
Answer:
9 women for every 3 men
Written as: 9:3
Can be simplified to 3:1 (9:3/3)
3 women to 1 man
A skateboarder is shown below.
we
z
At which point is the skateboarder's potential energy the greatest?
Point X
Point Y
Point W
Point Z
Answer:
answer is w
Step-by-step explanation:
i don’t understand i need help please
Answer:
Step-by-step explanation:
You need to make a shape that is the same shape and size to the triangle on the page.
9-7w=8w+8
what is w??
Answer:
w=1/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9−7w=8w+8
9+−7w=8w+8
−7w+9=8w+8
Step 2: Subtract 8w from both sides.
−7w+9−8w=8w+8−8w
−15w+9=8
Step 3: Subtract 9 from both sides.
−15w+9−9=8−9
−15w=−1
Step 4: Divide both sides by -15.
−15w/−15 = −1/−15
w = 1/15
Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE
Answer:
x-intercept: (2,0)
y-intercept: This line doesn't cross the y-axis.
apples cost $0.75 per pound and bananas cost $1.05 per pound
a baker bought a total of 12 pounds of apples and bananas for $10.20.
the systems of equation models the situation, where A is the number of pounds of apples and B is the number of pounds of bananas how many pounds of each did the baker buy?
Answer:
The baker bought 8 apples and 4 bananas
Step-by-step explanation:
System of Equations
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas
HELP ASAP due in 1 hour
Answer: Same Side Interior Angles
Step-by-step explanation:
Imma help you eliminate the options.
-These angles are inside the parallel lines, meaning that they have to be interior angles. That eliminates any answers involving exterior angles. Next, simply by definition, it wouldn't be corresponding. Finally, alternate interior angles is eliminated because the angles are on the SAME SIDE of the transversal, meaning that Same-Side interior angles is the answer.
Determine the value of each variable in the figure below. Keep answers in simplest radical form.
Step-by-step explanation:
cos60° = Adjacent/Hypotenuse = a/42.
=> a = 42cos60° = 21.
sin60° = Opposite/Hypotenuse d/42.
=> d = 42sin60° = 42(√3/2) = 21√3.
tan30° = Opposite/Adjacent = d/b.
=> b = d / tan30° = (21√3) / (1/√3) = 63.
sin30° = Opposite/Hypotenuse = d/c.
=> c = d / sin30° = (21√3) / (1/2) = 42√3.
The length of a rectangle is represented by 4a+3b and its width is represented by 3a-2b. Enter the polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Answer:
a) The polynomial for the perimeter of the rectangle is = 14a - 2b
b) 150
Step-by-step explanation:
a) The formula for the area of a rectangle is given as:
P = 2L + 2W
From the question:
The length of a rectangle = 4a+3b
The width of a rectangle = 3a-2b.
The Perimeter of the rectangle is
Perimeter = 2(4a + 3b) + 2(3a - 2b)
Perimeter = 8a + 6b + 6a - 4b
Perimeter = 8a + 6a + 6b - 4b
Perimeter = 14a - 2b
Hence:
The polynomial for the perimeter of the rectangle is = 14a - 2b
b) What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Non-zero whole number are single digit number such as: 1, 2, 3, 4, 5, 6, 7, 8, 9
The perimeter of the rectangle is = 14a - 2b
We are asked to find the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number.
In order to solve this, we would used the highest non zero whole number which is 9
Hence,
For a = 12 , b = 9
14 × 12 - 2(9)
= 168 - 18
= 150
Hence, the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number is 150
Connor's family took a road trip to Niagara Falls. Connor slept through the last 15% of the trip. If Connor fell asleep after they had travel 663 miles what was the total length of the trip.
Answer:
The length of the trip is 780 miles
Step-by-step explanation:
Given
[tex]Sleep = 15\%[/tex]
[tex]Distance\ Travelled = 663[/tex]
Required
Determine the length of the trip
If Connor slept for 15% of the trip, then Connor was awake for 85%
This is calculated as:
[tex]Sleep + Awake = 100\%[/tex]
[tex]15\% + Awake = 100\%[/tex]
[tex]Awake = 100\% - 15\%[/tex]
[tex]Awake = 85\%[/tex]
Represent the required distance with D.
So the expression for when she was awake is:
[tex]85\% * D = 663[/tex]
Make D the subject
[tex]D = \frac{663}{85\%}[/tex]
Convert % to decimal
[tex]D = \frac{663}{0.85}[/tex]
[tex]D = 780[/tex]
Hence, the length of the trip is 780 miles
Rachel is stuffing envelopes. She has eight hours to complete the task, and there are 1,500envelopes. The first hour, Rachel stuffs 135 envelopes. The second hour she stuffs 141 envelopes. How many envelopes will Rachel need to stuff in order to finish the job?
Solve the given system by substitution.
Answer:
p = 2; q = 2
Step-by-step explanation:
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer:
No it is not a solution
Step-by-step explanation:
Key skills needed - One variable equations
1) We look at the equation, y = 4x+ 1, and see the scholar's work.
2) The scholar did everything correctly, and at the end got 9 = 13.
3) This statement is FALSE, so it would be the 2nd option (No it is not a solution)
Hope this helps and have a nice day!! :D
Solve the following for x
Answer:
x = 9
Step-by-step explanation:
50+80+(6x-4)=180 (ANGLE SUM PROPERTY)
130 +(6x-4)=180
6x-4=180-130
6x-4=50
6x=50+4
x=54/6
x = 9
Can someone help me calculate angles? P3
Answer:
the little box would indicate that it is a 90 degree angle.
Answer: 50
Step-by-step explanation: to find CXF all you need to do is 90-40
What Percent of 18 is 24?
Answer:
133.3333..% of 133 1/3 %
Step-by-step explanation:
100% of 18 is 18.
24-18 = 6.
6 is 33.33333...% of 18.
Therefore 24 is 133.3333..% of 18
or
24/18 = 4/3 = 1.333... = 133.33333...%
The percent 133.3% of 18 is 24.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
let x Percent of 18 is 24.
So, x% of 18 = 24
x/100 (18)= 24
18x = 2400
x= 2400/18
x= 133.33%
Hence, 133.33% of 24 is 18.
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Nicholas has 6 ounces of dish soap in an old, nearly empty bottle. He also has 22 ounces of dish soap in a new, unopened bottle. Which expression tells you how much dish soap Nicholas has in all? A. 6+22 B.6x22
hiii please help i’ll give brainliest if you give a correct answer ty!!
Answer: 45 cups of flower
Step-by-step explanation:
Hi, you can use a proportion to solve this problem, so you start of by setting up the proportion:
Step-by-step explanation:
To start, create a ratio for flour to chocolate chips
flour : chocolate chips
5 cups : 3 cups
5:3
Now create a ratio with x amount of flour to 27 cups of chocolate chips
x cups of flour: 27 cups of chocolate chips
x: 27
Rewrite the ratios as fractions equivalent to each other
[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{27}[/tex]
Cross multiply
5(27) = 3x
135 = 3x
135/3 = 3x/3
45 = x
45 cups of four would be needed
I hope this helps!!!!!