Answer:
16 m × 11 m
Step-by-step explanation:
The dimension of the gym is 20 m x 15 m. An outbound of 2m width is to be cut out from the gym to form the basketball court.
The original length of gym = 20 m and original width of gym = 15 m
2 m would be cut at both sides of the gym length for the outbound. Also 2 m would be cut at both sides of the gym width for the outbound. Therefore:
Length of basketball court = 20 m - (2 * 2m) = 20 m - 4 m = 16 m
Width of basketball court = 15 m - (2 * 2m) = 15 m - 4 m = 11 m
Therefore the dimensions of the basketball court is:
16 m × 11 m
6(-3x+8)=-3(5x +4) solve for x
6(-3x+8)=-3(5x +4)
Distributive property:
-18x + 48 = -15x -12
Add 15x to both sides:
-3x + 48 = -12
Subtract 48 from both sides:
-3x = -60
Divide both sides by -3:
x = -60 / -3
x = 20
if you want brainlest
5 starred and thanks daily just do this correctly
thanks, good luck
Answer:
The completed table is shown below
Step-by-step explanation:
Proportional Relationship
Two variables H and M have a proportional relationship if the following equation is satisfied:
M = kH
Where k is the constant of proportionality.
The table shows one complete point: H=1.5, M=6. This allows us to find the value of k:
6 = 1.5k
k = 6/1.5 = 4
Now we know the complete relationship between distance and time:
M = 4H
To complete the table, we just give the required values and calculate the corresponding value.
For H=0 hours, M=4*0 = 0 miles
For H=0.5 hours, M=4*0.5 = 2 miles
For H=1 hours, M=4*1 = 4 miles
For H=6.5, M=4*6.5 = 26 miles
For M=12 miles, H=12/4 = 3 hours
The completed table is shown below
what is -2(3x^2-7x+4)+(x+1)(x-7)
Answer:
−5^2x2+8x−15
Step-by-step explanation:
Hope it helps!
what is 96.92 simplify
We round up to 97 and the divide to the point it can to be divided anymore
Ayla has 104 stuffed animals in her room. The ratio of teddy bears to cats is 5 to 3. How many teddy bears does she have?
Answer:
65 teddy bears
Step-by-step explanation:
Total stuffed animal = 104
Teddy bear : cats = 5 : 3
Total parts = 5+3 = 8
Number of teddy bears = [tex]\frac{5}{8}*104[/tex]
= 5 * 13
= 65
Answer:
she has 65 teddy bears
Step-by-step explanation:
if she has 104 stuffed animals and the ratio is 5/3 then to get the awnser you need 5/8
5/8*104
you get 65
The large piston in a hydraulic lift has an area of 2m^2. What force must be applied to the small piston with an area of .2m^2 in order to raise a car that weighs 14,700 Newtons
Answer:
147,000N
Step-by-step explanation:
A1= 2m^2
A2= 0.2m^2
F2= 14,700N
Required
F1, the applied force
Applying the formula
F1/A1= F2/A2
substute
F1/2=14700/0.2
2*14700= F1*0.2
29400= F1*0.2
F1= 29400/0.2
F1=147,000N
Hence, the applied force is 147,000N
please help me please will give brainliest to anyone who is good
show your work
Answer:
A
Step-by-step explanation:
2 and 1/2 is can be written as 5/2
5/2 cups of soda for every 2/5 cup of pineapple juice
Unit rate means per 1 of something, in this case pineapple juice
5/2 per 2/5 or (5/2) / (2/5)
5/2 ÷ 2/5 = 25/4 or 6 and 1/4
The Sandberg Institute building in Amsterdam generates revenue by selling advertising space on the exterior of the building. The building is a rectangular prism with dimensions 50 m by 40 m by 75 m. Suppose it costs 1 Euro per month to rent an advertising space of 50 cm2 . Each of the 4 walls of the building is covered with advertisements. How much money will the institute earn in one month?
Answer:
2.7 million euros per month
Step-by-step explanation:
Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,
A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m
Substituting the values of the variables into A, we have
A = 2h(l + w)
= 2(75 m)(50 m + 40 m)
= 150 m × 90 m
= 13500 m²
= 13500 × 1m²
= 13500 × 10000 cm²
= 135000000 cm²
= 1.35 × 10⁸ cm²
Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²
= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²
= 0.027 × 10⁸ Euro per month
= 2.7 × 10⁶ Euro per month
= 2.7 million euros per month
So, the institute will earn 2.7 million euros per month
Can someone help me please
Answer:
first one is perpendicular
second one is neither
third one is parallel
Step-by-step explanation:
Which algebraic expression represents the phrase "seven more than half of a number
0 7-1/2x
0 -7+ 1/2x
o 1/2x + 7
0 -1/2x + 7
Answer:
1/2x + 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 more will be 7+
half of a number, let number be x, that will be x/2
1/2 x+7
8,637
Number
Nearest ten
Answer:
8, 640
Step-by-step explanation:
It just is :) hope it helps
Plz I need help asap i only have 10 mins to answer this.PS-dont tell me yo look it up cuz its not there.
Answer:
A skateboarder travels down 2 meters a second
Step-by-step explanation:
The slope is 4 / 2 = 2
5 star, thank, and brainliest if helpful!
What prompted (caused) Gandhi to begin a campaign of passive resistance in South Africa?
Answer:
Asiatic Registration Bill of 1906.
Step-by-step explanation:
The first passive resistance campaign was started in Johannesburg in 1907 with, and for, the wealthy South African Indian merchants whom he had so long represented.’ Gandhi’s first passive resistance campaign began as a protest against the Asiatic Registration Bill of 1906.
Please answer this :):(:)
Answer:
the answer would be 3/40
Answer:
3/40
Step-by-step explanation:
Scale factor = 9/10*12 = 3/40
6th grade math please help!
The sum of three numbers in order is 57. The equation that represents this is x + (x + 1) + (x + 2) = 57. Which value of x from the set {16, 17, 18, 19} makes the equation true?
a.16
b.17
c.18
d.19
If I have an equation in which x = pounds, and y = total cost, can I substitute quarts into the equation
Answer:
Yes, you can
Step-by-step explanation:
As a point of reference, assume the equation is:
[tex]y = 5x[/tex]
Where
[tex]y = total\ cost[/tex]
and
[tex]x = pounds[/tex]
In standard unit of conversion:
[tex]1\ pound = 0.4793\ quart[/tex]
So:
[tex]x\ pounds = 0.4793x\ quart[/tex]
Substitute 0.4793x for x in [tex]y = 5x[/tex]
[tex]y = 5 * 0.4793x[/tex]
[tex]y = 2.3965x[/tex]
The above equation is the equivalent of [tex]y = 5x[/tex] in quarts
So, irrespective of what the equation is, you can always substitute quarts into the equation.
determine the value of w
Answer:
suppose
x+122=180
x=180-122
x=58
then
x+w+33=180
58+w+33=180
w=180-91
w=89
I need help quick 16 mins left and I’m on the last question
Answer:
try 2+2 that should work
−2 ≤ 8
answer quick please
Answer: True
Step-by-step explanation:
The inequality is always True
Help me pleaseeeee somebody ASAP
Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
Jawad has seven rocks.
The total weight of all seven rocks is 5kilograms 6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams of the other rock
680 grams.
So, it's telling us to calculate the weight, in grams, of the other rock.
So firstly,
6 of the rocks EACH have a weight of 720 grams.
So, 6 x 720 = 4320
Now save 4320 for later.
Next, we need to convert the 5 kilograms into grams.
So, 5 x 1000 = 5000
now do, 5000 - 4320 = 680.
Your final answer would then be = 680g
I hope this helped.
Ratio 400g : 1kg can be written in the form 1 : n find the value of n?
I cant figure this out please can i have some help and reply's thanks.
Given f(x) = (4 - x)”, what is the value of f(16)?
Answer:
Step-by-step explanation:
Plug in 16 for x. (4-16) then the answer is -12
What is the slope of the line that passes
through the points (-3,5) and (9, -1)?
Answer:
m=-1/2
hope this helps
Answer:
-1/2
Step-by-step explanation:
9+3=12 and -1-5=-6
-6/12=-1/2
find the area of the shape below, giving your answer to 1 decimal place
Answer:the answer is 150
Step-by-step explanation:multiply 10 and 15 and you get 150
Answer:
[tex] 189.25 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the shape = Area of rectangle + Area of semicircle.
For rectangle:
Length = 15 cm
Width = 10 cm
For semicircle:
Diameter = 10 cm
Radius = 10/2 = 5 cm
Area of the shape
[tex] = lb + \frac{1}{2} \pi {r}^{2} \\ \\ = 15 \times 10 + \frac{1}{2} \times 3.14 \times {(5)}^{2} \\ \\ = 150 + \frac{1}{2} \times 3.14 \times 25 \\ \\ = 150 + 39.25 \\ \\ = 189.25 \: {cm}^{2} [/tex]
Which expression would be easier to simplify if use the commutative property to change the order of numbers?
I WILL GIVE BRAINLIEST!!!!! Pls answer
16. 75/100 whats inside the big 1
answer: 15
there is 15 left.
Pls answer this! :)
Answer:
11 in
Step-by-step explanation:
1 in=270 ft
2970/270=11
helppppppp me plsss fast due at 7
Answer:2y+7x
5y−7x
=−5
=12
We notice that the first equation has a 7x7x7, x term and the second equation has a -7x−7xminus, 7, x term. These terms will cancel if we add the equations together—that is, we'll eliminate the xxx terms:
\begin{aligned} 2y+\redD{7x} &= -5 \\ +~5y\redD{-7x}&=12\\ \hline\\ 7y+0 &=7 \end{aligned}
2y+7x
+ 5y−7x
7y+0
=−5
=12
=7
Solving for yyy, we get:
\begin{aligned} 7y+0 &=7\\\\ 7y &=7\\\\ y &=\goldD{1} \end{aligned}
7y+0
7y
y
=7
=7
=1
Plugging this value back into our first equation, we solve for the other variable:
\begin{aligned} 2y+7x &= -5\\\\ 2\cdot \goldD{1}+7x &= -5\\\\ 2+7x&=-5\\\\ 7x&=-7\\\\ x&=\blueD{-1} \end{aligned}
2y+7x
2⋅1+7x
2+7x
7x
x
=−5
=−5
=−5
=−7
=−1
The solution to the system is x=\blueD{-1}x=−1x, equals, start color #11accd, minus, 1, end color #11accd, y=\goldD{1}y=1y, equals, start color #e07d10, 1, end color #e07d10.
We can check our solution by plugging these values back into the original equations. Let's try the second equation:
\begin{aligned} 5y-7x &= 12\\\\ 5\cdot\goldD{1}-7(\blueD{-1}) &\stackrel ?= 12\\\\ 5+7 &= 12 \end{aligned}
5y−7x
5⋅1−7(−1)
5+7
=12
=
?
12
=12
Step-by-step explanation:
Whats the Answer? I need help and quick
Answer:
10
Step-by-step explanation: