Answer:
(a) [tex]Perimeter = 32.2\ cm[/tex]
(b) 100
Step-by-step explanation:
Solving (a):
Given
Shape: Rectangle
[tex]Area = 64.8[/tex]
Required
Calculate the perimeter.
Area is calculated as:
[tex]Area = L * W[/tex]
Where
[tex]L = Length[/tex] and [tex]W = Width[/tex]
Substitute 64.8 for Area
[tex]64.8 = L * W[/tex]
Make L the subject:
[tex]L = \frac{64.8}{W}[/tex]
Perimeter is calculated as:
[tex]P = 2 * (L + W)[/tex]
Substitute 64.8/W for L
[tex]P = 2 * (\frac{64.8}{W} + W)[/tex]
[tex]P = \frac{129.6}{W} + 2W[/tex]
To solve further, we take the derivative of P and set it to 0, afterwards.
[tex]dP = -\frac{129.6}{W^2} + 2[/tex]
Set to 0
[tex]0 = -\frac{129.6}{W^2} + 2[/tex]
Collect Like Terms
[tex]\frac{129.6}{W^2} = 2[/tex]
Cross Multiply:
[tex]2W^2= 129.6[/tex]
Divide through by 2
[tex]W^2 = 64.8[/tex]
Take square roots
[tex]W = \sqrt{64.8[/tex]
[tex]W = 8.05[/tex]
Recall that:
[tex]L = \frac{64.8}{W}[/tex]
So:
[tex]L= \frac{64.8}{8.05}\\[/tex]
[tex]L= 8.05[/tex]
The perimeter is:
[tex]Perimeter = 2 * (8.05 + 8.05)[/tex]
[tex]Perimeter = 2 * (16.10)[/tex]
[tex]Perimeter = 32.2\ cm[/tex]
Solving (b):
Given
((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)
Required
Solve
[tex]Tenths = \frac{1}{10}[/tex]
So, the expression becomes:
((1 Group of [tex]10 * \frac{1}{10}[/tex]) and (1 group of [tex]8 * \frac{1}{10}[/tex]))/(6 groups of [tex]3 * \frac{1}{10}[/tex])
This gives:
((1 Group of [tex]\frac{10}{10}[/tex]) and (1 group of [tex]\frac{8}{10}[/tex]))/(6 groups of [tex]\frac{3}{10}[/tex])
Group means product, so the expression becomes:
[tex]\frac{(1 * \frac{10}{10} \ and\ 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]
And, as used here means addition
[tex]\frac{(1 * \frac{10}{10} + 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]
Simplify:
[tex]\frac{(1 * 1 + 1 * 0.80)}{6 *0.30}[/tex]
[tex]\frac{(1 + 0.80)}{1.80}[/tex]
[tex]\frac{1.80}{1.80}[/tex]
[tex]= 1.00[/tex]
HELP!!!!!!!!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!!NOW!!!!!!!!!!!!
There are so many ways to answer this but one way is:
Reflection over x=1
Reflection over x-axis
If u need a different answer I'll try to help
8.Rewrite the expression using rational exponents.
Answer:
Option B is the correct option.
Step-by-step explanation:
Given the expression
[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}[/tex]
Apply radical rule:
[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}[/tex]
so
[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}=\sqrt[3]{\frac{x^5}{x^7}}[/tex]
Apply radical rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]=\sqrt[3]{\frac{1}{x^2}}[/tex] ∵ [tex]\frac{x^5}{x^7}=x^{5-7}[/tex]
[tex]=\frac{1}{x^{\frac{2}{3}}}[/tex]
Therefore, option B is the correct option.
what is y-2=3(x-1) in slope intercept form?
a. y=3x-1
b. y=4
c. y=2x-20
d. 3x=2y
i’m thinking it’s A but i’m not sure?
Answer:
A
Step-by-step explanation:
You're right:) distribute the 3 and have the y alone and it's A
Compute the standardized test statistic, χ 2, to test the claim σ 2 = 25.8 if n = 12, s 2 = 21.6, and α = 0.05.
Answer:
[tex]t^2=9.2[/tex]
Step-by-step explanation:
From the question we are told that
Standard Deviation [tex]\sigma=28.8[/tex]
Sample space [tex]n=12[/tex]
[tex]s^2= 21.6[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t^2=frac{(n-1)*s^2}{\sigma^2}}[/tex]
[tex]t^2=\frac{(12-1)*21.6}{25.8}[/tex]
Therefore the standardized test statistics
[tex]t^2=9.2[/tex]
NEED HELP IMMEDIATELY!!!!!
paula had 60 stamps jn her collection. Among her stamps, 2/3 have pictures of animals. Out of her stamps with pictures of animals, 1/4 of those stamps have pictures of birds. How many stamps have pictures of birds on them?
Answer:
10
Step-by-step explanation:
2/3 of 60 is 40. 1/4 of 40 is 10
A pair of jeans are originally $39.50 and are 15% off. The sales tax is 7%. After the discount and tax, how much will the total be?
Answer:
$35.93
Step-by-step explanation:
15% of 39.50= 33.58
7% of 33.58= 35.93
please help me I really don't understand!!!
Answer:
The corretanswer is the first and 3rd one.
Step-by-step explanation:
This is because the 2nd and fourth one do not pass the vertical line test.
Answer:
I'm pretty sure is the 3 one
Iinear or nonlinear
Answer:
linear
Step-by-step explanation:
the dots make a straight line
An employer has three employees who are each paid a salary of $1,250 per month. He wants to give each of the three employees a $125 per month raise and he wants to hire an additional salaried employee. If his salary budget for these employees is $5,325 per month, how much can he afford to offer the new employee?
Step-by-step explanation:
1,250+125= 1,375
1375×3=4125
5325-4125=1200
They can afford to play the new employee $1200
HELP ME!!!!! I really need the answer to this!!!!!!!
Answer:
12x^8y^8
Step-by-step explanation:
taking numbers in one side and multiplying and taking the variables in other sides and adding the power
Hi i need help with these questions with distributive property pls help me:
3(-4x + 8)
4(x - 6y)
6(5 - q)
1/2(c - 8)
-3(5 - b)
(d + 2)(-7)
Step-by-step explanation:
-12x+24
4x-24y
30-6q
1/2c-4
-15+3b
-7d-14
Answer:
-12x+8
4x-24y
30-6q
1/2c-4
-15-3b
-7d-14
1. Sally is cleaning houses. She can clean 2/5
of a house in 1/3 of an hour. How much of a
house can she clean in 1 hour?
Answer:
Step-by-step explanation:
Sally will clean in one hour
2/5*3=6/5=1 1/5 houses in one hour
NEED HELP IM GIVIN BRAINLIEST!!
Juan purchased a pair of Nikes’ that were 35% off the regular price of $135.90. If an 7% sales tax was added to the cost of the Nike’s, what was the total price that Juan paid for the Nike’s? (Round to the nearest cent)
Step-by step:
135.90x0.35=47.565
47.565+(135.90x0.07)=47.565+9.513
Answer:
57.078
Plzzzz give me Brainliest!
Which unit of measure below would be the MOST appropriate to measure the distance between Miami, Florida and Orlando, Florida?
A
centimeters
B
millimeters
C
kilometers
D
meters
Complete the Equation of the line through
(3,-1) and (4,7)
Answer:
Step-by-step explanation:
7-(-1)/4-3
8/1=8
Y=8x+b
7=8(4)+b
7=32+b
-25=b
Answer: y=8x-25
Pls help I’ll mark u brain
Answer:
A
Step-by-step explanation:
It would be A,
As we can see, p*c =60 for every value in the chart. We can rearrage this to get c=60/p
I hope this helped! :)
please help me ill brainlist and give 15 points-
The answer is C, 510.
please help me its about Solving by substitution
Answer:
x = 3 and y = 5
Step-by-step explanation:
y = x+2
3x+2(x+2)=19
3x+2x+4=19
5x+4=19
-4 -4
5x=15
x=3
y=x+2
y=(3)+2
y=5
Answer:
x=3 and y=5
Step-by-step explanation:
The road is 6 kilometers long how long is the road in meters
Answer:6000 meters
Step-by-step explanation:
Please help me for 10 pts
Answer:
a) 10.5
b) 25.32
Step-by-step explanation:
Plug in 2.3 for n in both equations.
First equation:
5 (2.3 - 2) + 9
5 (0.3) + 9
1.5 + 9
10.5
Second equation:
8 (2.3^2) - 17
8 (5.29) - 17
42.32 - 17
25.32
I hope this helps!
Least to greatest 6 3/10,1 3/10, 1 3/11, -7 6/14, 5 3/10
Answer:
-7 6/14, 1 3/11, 1 3/10, 5 3/10, 6 3/10
Simplify the ratio 60:25:90
Answer:
12:5:18
Step-by-step explanation:
60:25:90
12:5:18
-2x -5 = 2 - 4x (x - 1) ?
Answer:
x=3/4+1/4√37 or x=3/4+−1/4√37Step-by-step explanation:
Let's solve your equation step-by-step.
−2x−5=2−4x(x−1)
Step 1: Simplify both sides of the equation.
−2x−5=−4x^2+4x+2
Step 2: Subtract -4x^2+4x+2 from both sides.
−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)
4x^2−6x−7=0
For this equation: a=4, b=-6, c=-7
4x^2+−6x+−7=0
Step 3: Use quadratic formula with a=4, b=-6, c=-7.
x=−b±√b2−4ac/2a
x=−(−6)±√(−6)2−4(4)(−7)/2(4)
x=6±√148/8
Help me plz I don’t this answer help
Answer:
-1/2 x 3 = -3/2
-1/2 x - 2/5 = 2/10 = 1/5
Answer = The second one: -3/2 + 1/5
Step-by-step explanation:
–0.2(14 – 6x) = –7x – (–3 – 9x)
Can anyone solve ?
Answer:
The answer is x=-7.25
Step-by-step explanation:
What are the coordinates of point A?
8
8
6
4
2
-8-6-4-2
2
4
8
8
X
-2
-4
---
-E
O (8,-6)
O (-6,8)
0 (-5,7
4)The stock price of the
Martin Skateboard Co. was
$12.50 per share. In the next
week the stock went up
$1.00, lost $2.00, added
$0.50, increased by $0.75,
and lost $1.25. What was the
stock price at the end of the
week?
4xy + 12x - 3xy + 2y
Answer:
xy+12x+2y
Step-by-step explanation:
thats all you can do to this
Pencils are sold in boxes of 10. Erasers are sold in boxes of 14. A teacher wants to buy the same number of pencils and erasers. Work out the smallest number of boxes of each item she should buy.
Answer:
We have;
7 pencil boxes and 5 eraser boxes
Step-by-step explanation:
To find the smallest number of boxes that can be bought, what we simply do is to find the lowest common multiple of the content of each of the boxes
hence, we are going to find the lowest common multiple of 10 and 14
The lowest common multiple of 10 and 14 is 70
So the smallest number of pencil boxes that can be bought is 70/10 = 7
The smallest number of eraser boxes would be 70/14 = 5
Someone help!
Graph the solution to the inequality on the number line.
h > 75.5
Answer:
DStep-by-step explanation:
hope it helps....... .
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
h > 75.5
The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.
More about the number line link is given below.
https://brainly.com/question/13189025
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