Answer:
i. 4x² + 96x + 512
ii. 1,092 m²
Step-by-step explanation:
i. [ 36 + 2 (x - 2) ] × [ 20 + 2 (x - 2) ]
= (36 + 2x - 4) (20 + 2x - 4)
= (32 + 2x) ( 16 + 2x)
= 512 + 64x + 32x + 4x²
= 4x² + 96x + 512.
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ii. If x = 5
then 4x² + 96x + 512
= 4 × 25 + 96 × 5+ 512
= 100 + 480 + 512 (Simple calculation)
= 1,092 m²
How many ways are there to put 5 balls in 2 boxes if the balls are not distinguishable and neither are the boxes
Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.
Step-by-step explanation:1
It is 3: the partitions of 5 into ≤2 parts.
Answer asap, please!!!
Answer:
4s²
Step-by-step explanation:
The area is made up of four squares each of side s . The area of one square will be s*s = s² .
Hence the area of 4 such squares will be 4*s² = 4s²
Your choice is correct .
Solve this equation by elimination method...
2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)
Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
At a corner store, apples cost $1 and orange cost $2 victor has 18$ to spend buy fruits
Write an equation that relates the number of apples a, to the number of oranges,o, victor can buy while spend exactly $18
y=-3x-8 how is this graphed
A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?
Answer:
$38240 increase$516240 current valueStep-by-step explanation:
Initial value of house is $478000
Change in value is 8% greater:
478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240We need 8% of Value
[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]
[tex]\\ \sf\longmapsto 0.08(478000)[/tex]
[tex]\\ \sf\longmapsto 38240\$[/tex]
Current value:-
[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]
Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?
Step-by-step explanation:
Answer is in above picture
51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question, 51 samples, hence, [tex]n = 51[/tex]
Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213
Mrs. Wong has placed together 60% of the pieces of a jigsaw puzzle She has placed 570 pieces of the puzzle together How many pieces are there in the whole puzzle? Explain whether or not it is possible to determine how many pleces there are in the whole puzzle using the given information. If so, show the calculations to find the total pieces in the puzzle If not explain why not Type the answer in the response area below
Pls help ASAP
I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points
Step-by-step explanation:
I'm assuming your solving for [tex]x[/tex]
Picture 2.
For this one since the two sides are equal
[tex]2x-12=12\\2x=24\\x=12[/tex]
Picture 4.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]
[tex]x=5[/tex]
Picture 6.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]
[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]
Picture 8.
[tex]EG=6[/tex]
Since half of [tex]EG[/tex] is [tex]3[/tex]
[tex]3\cdot2=6[/tex]
[tex]EG=6[/tex]
Brainliest, please :)
Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?
Answer:
A. 4/11
B. 2/11
Step-by-step explanation:
Use the given values to find the fractions (4+5+2=11)
Given the following graph what is the slope?
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]
What is 5/4×12.50? Please I really need help.
Answer:
15.62500
Step-by-step explanation:
Answer:
62.5 62 1/2
Step-by-step explanation:
You need to convert the decimal into a fraction
which is 25/2 then make the bottom into the same
5/4 is good because it is 4 so change the 25/2 into a 4.
So you have to do 25x 2 and 2x2 equal to 50/4
then do it like normal
50/4 x 5/4= 250/4 62.5
(50 x 5 and 4x4
Hope that helps!
Go shop at Quelenasboutique on esty
Simplify, write your answer as a power
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
when x is 8 what is 4x
A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?
Answer:
£16
the t-shirt increased by 0.25. let's convert that to percentage
therefore it increased by 25%
By using cross multiplication we can write as follows:
125%=£20
100%=£ x
(100×20)/125= £16
9. Find the lowest common denominator for the following pairs of fractions.
a. 2/6 and ¾
b. ¼ and 3/8
c. 1/8 and ½
d. ¼ and 3/16
What is the value of x in the equation 4(2x – 8) = 8(4x + 2)?
Answer:
x=-2
Step-by-step explanation:
4(2x – 8) = 8(4x + 2)
Distribute
8x -32 = 32x+16
Subtract 8x from each side
8x-32 -8x = 32x+16-8x
-32 = 24x+16
Subtract 16 from each side
-32-16 = 24x+16-16
-48 = 24x
Divide by 24
-48/24 = 24x/24
-2 =x
Which of the following triangles could lie on the graph with the same rise over run in Question # 3?
A. A triangle with a rise of 10 and a run of 30
B. A triangle with a rise of 30 and a run of 10
C. A triangle with a rise of 10 and a run of 40
D. A triangle with a rise of 2 and a run of 5
Answer:
B.
Step-by-step explanation:
Complete the ordered pair for the equation y=-3x - 5.
(__,4)
Answer:
[tex](-3,4)[/tex]
Reasoning:
This problem is telling you that if y equal 4, what does x equal?
You can easily insert the y value to find the constant x.
[tex]4=-3x-5[/tex]
[tex]9=-3x[/tex]
[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]
[tex]-3=x[/tex]
help help help pls I have to do it
A car travels 20miles be in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at a constant speed.explain or show why
Answer:
It is true that both cars are traveling at the same speed.
Step-by-step explanation:
Given that car A travels 20 miles over half an hour, we know that this car is traveling at a speed of 40 miles per hour.
Car B travels 30 miles in 3/4 of an hour, let us set up a proportion to solve whether or not Car B is traveling at the same rate as Car A
30 miles / (3/4 hour) = x miles / 1 hour Cross multiply
30 = (3/4) x Divide both sides by (3/4)
40 = x
Therefore, both Car A and Car B are traveling at the same rate.
Step-by-step explanation:
How do you solve for TSU? i’ll make you brainleist
Step-by-step explanation:
as we know, 1 exterior angle is equal to 2 interior angle
therefore let angle u be x.
now,
→ 65° + x = 105
→ x = 105 - 65 = 40°
therefore
TUS = 40°
and to know measure of angle TSU apply angle sum property of triangle in ∆TUS
so,
65 + 40 + TSU = 180
105 + TSU = 180
TSU = 180 - 105 = 75°
therefore,
TSU = 75°
hope this answer helps you dear! take care
graph:
y=150x+50
y=200+150x
Answer:
y=150x+50
y=200+150x
Step-by-step explanation:
y=150x+50
y=200+150x
Which graph best represents a function with zeros of -2, -1 and 2
Answer:
D
Step-by-step explanation:
Because if you see the x-intercept you will see function with zeros of -2, -1 and 2
solve the equation please
142=10+4x+7x
x= what
Answer:
11
Step-by-step explanation:
142=10+12x
132=12x
11=x
Answer:
x=12
Step-by-step explanation:
How would you write 32 as a Roman numeral?
Answer:
XXXII
Step-by-step explanation:
The number 30 as a roman is XXX and the number 2 as a roman is ll. So the answer is XXXII
- Your welcome ;)
10. What percent of 25 is 10? (1 point)
O10=r. 25: 40%
O 10=r. 25: 250%
025=x: 10; 40
025=r. 10; 250%
Answer:
40%
Step-by-step explanation:
To change a fraction into a percentage, multiply by 100% , then
[tex]\frac{10}{25}[/tex]
= [tex]\frac{10}{25}[/tex] × 100%
= 0.4 × 100%
= 40%
what is the common denominator of 5/8 and 1/6? need answers ASAP
Answer:
48 & 24
Step-by-step explanation:
6×8 and 8×6 will get you 48
6×4 and 8×3 will get you 24
I need #2 done ASAP (Must show work) Will give brainliest
Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Step-by-step explanation:
Statement Reason
∠4 ≅ ∠7 Given
∠4 and ∠5 are vertical angles Vertical angles theorem
∠6 and ∠7 are vertical angles Vertical angles theorem
∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles
∠5 ≅ ∠6 Substitution property of equality