Answer:
56 uniformsStep-by-step explanation:
Available amount = $14533Cost of each uniform = $258Number of uniforms can be bought:
14533/258 = 56 (rounded down)Amount to be spent:
56*258 = 14448Remaining amount:
14533 - 14448 = 85(i) Find i in terms of P and A.
(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)
Answer:
See belowStep-by-step explanation:
Given formula:
[tex]A=P(1+i/100)^3[/tex](i)
Solve for i:
[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex](ii)
P = 2500, A = 2650, find i:
[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%16 x [tex]\frac{1}{8}[/tex]
Answer:
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A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.
Answer:
8.89 feet
Step-by-step explanation:
[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89
the blank will be nagitve
Answer:
What would happen if someone doesn't put a negative comment in the blank?
Step-by-step explanation:
Answer:
numerical value??
Step-by-step explanation:
When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 86%? 0. 14 0. 86 0. 93 0. 99.
The critical probability assuming a confidence level of 86% is;
Option B; 0.86
We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.
This means that the critical probability is the value of z at 86% or 0.86
So when we find the value of z at that value, we will use it to get the margin of error.
Read more about critical probability of Confidence level at; https://brainly.com/question/16112320
Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes
Answer:
each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.
Step-by-step explanation:
57.2 divided by 8 is 7.15
expand and simplify (x-2)(x-3), please help
Answer:
hope it helps you
(•‿•).........
Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs
Answer:
30 eggs.
Step-by-step explanation:
Cracked eggs: 120 x 25/100
=> 120 x 1/4
=> 30 eggs.
Therefore, 30 eggs are cracked.
Hoped this helped.
Can someone pls help me
Solve for x
Please show ur work
Answer:
9=x
Step-by-step explanation:
80º=(8x+8)º
80=8x+8
Subtract 8 from both sides of the equation.
72=8x
Divide 8 from both sides of the equation.
9=x
Hope this helps :)
write an equation in slope intercept form for the line with slope 1/3 and y-intercept -3
Answer:
y = [tex]\frac{1}{3}x-3[/tex]
Step-by-step explanation:
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=
The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
learn more: https://brainly.com/question/21812790?referrer=searchResults
Hi can u help me with my hw
Answer:
c) difficult
Step-by-step explanation:
1) w = 14/3
Steps:
1) Multiply the numbers
5w - 8/3 = 4w + 2
2) Add 8/3 to both sides of the equation
5w - 8/3 + 8/3 = 4w + 2 + 8/3
3) Simplify
A. Add the numbers
5w = 4w + 2 + 8/3
B. Add the numbers
5w = 4w + 14/3
4) Subtract 4w from both sides of the equation
5w - 4w = 4w +14/3 - 4w
5) Simplify
A. Combine like terms
1w = 4w + 14/3 - 4w
B. Multiply by 1
w = 4w + 14/3 - 4w
C. Combine like terms
w = 14/3
2) ( x - 7 ) ( x + 7 )
Steps:
1) Use the sum-product pattern
x² + 7x - 7x - 49
2) Common factor from the two pairs
x (x + 7) = 7 (x + 7)
3) Rewrite in factored form
(x-7) (x+7)
3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]
Steps:
[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]
The table below shows the incomplete values as y varies directly as
x. Calculate the missing values.
y =10 20_
x =5_ 2
Answer:
y=30
x=3
Step-by-step explanation:
~may it help you~
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
help me!!! Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.
Please help me with this question thx
Answer:
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>
>
Step-by-step explanation:
1. Subtract the linear expressions.
(45x−5)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
2. Add the two expressions.
−2.4n−3 and −7.8n+2
Enter your answer in the box.
3. Subtract the linear expressions.
(−3.6x+9.4)−(1.9x+3.6)
What is the difference?
Enter your answer in the box.
4. Subtract 5x−2 from −3x+4 .
A.2x + 2
B.8x−6
C.−8x+6
D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest
[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]
simplify √5(8+3√6)
I cant figure this problem out can someone help me?
Which of the following is the additive inverse of 4/31 ?
A. 4/31
B. - 4/31
C. 31/4
D. - 31/4
( Thanks In Advance )
Answer:
c 31b4
Step-by-step explanation:
Which of the following transformation sequences will produce similar, but not congruent, figures?
Answer:
The selected choice (#2) is correct
Step-by-step explanation:
Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.
Find the value of y.
Answer:
125
Step-by-step explanation:
You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.
The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.
To get Y take the value of the interior angle subtract 55 from 180, which would be 125.
What is an equation of the line that passes through the points (-4, 2) and (-8, -3)
Answer:
a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)
cross multiply
5x +20 = 4y-8
5x -4y =-28
Step-by-step explanation:
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
6^2+8^2=10^2
following the pythagoras theorem this triangle is right triangle
What is a derivative.
the quotient of a number and 12 - 3 is -4
Answer:
-36
Step-by-step explanation:
12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:
x ÷ 9 = -4
So, if we multiply both sides by 9, we get:
x = 9 * -4 which is -36.
How to prove p is a midpoint of AB and Q midpoint of BC
Answer:
Step-by-step explanation:
see the figure below
As O is mid point of rectangle
distance between O to AB and DC is same
also distance between O to AD and BC is same
OP and OQ are perpendiculars so it is straight
and OP divides AB into equal segments as distance between O to AD and BC is same
same goes with OQ
help plssah
answer the question...
Answer:
2
Step-by-step explanation:
Tyrone has already typed 100 words for an essay and can type 35 words per minute. Vanessa has already typed 120 words and can type 30 words per minute. In how many minutes will Tyrone and Vanessa have typed the same number of words?
Answer:
cant help you, but thanks for the points