Luke has a board 56 of a yard long. He needs to cut the board into 5 equal sections. Use the expression to find the length of each section. Each section is yard long.
Answer:
11.2
Step-by-step explanation:
56 divided by 5
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
The scale of a room in a blueprint is 5 in.: 9 ft. A wall in the same blueprint is 30 in. Complete the table.
Blueprint length (in.) 5
10
15
20
25
30
Actual length (ft)
9
How long is the actual wall?
The actual wall is
feet long
A window in the room has an actual width of 4.5 feet. Find the width of the window in the blueprint.
The width of the window in the blueprint is
in.
Answer:
54 feets
2.5 inches
Step-by-step explanation:
Given that:
Scale model:
5 in : 9ft
If 5 in = 9 ft
Hence, 1 in on the blue print equals
5 in = 9 ft
1 in = x
Cross multiply
5x = 9
x = 9/5 feets
Hence, 1 inches on the blueprint equals 9/5 feets actual
Blueprint length (in.) ___ Actual length (ft)
5 _________ 9
10 ________ 18
15 ________ 27
20 _______ 36
25 _______ 45
30 _______ 54
Hence ;
5 * 9/5 = 9 feets
10 * 9/5 = 18 feets
15 * 9/5 = 27 feets
20 * 9/5 = 36 feets
25 * 9/5 = 45 feets
30 * 9/5 = 54 feets
Window with actual width of 4.5 feets
Width of window in blue print :
Actual width ÷ 9/5
Actual width = 4.5 = 4 1/2 = 9/2
9/2 * 5 /9
= 5 /2
= 2 1/2 inches = 2.5 inches
help anyone I don’t understand
Answer:
D. 71
Step-by-step explanation:
Plug 7 into f
(7)^2 + 2(7) + 8
then solve
49 + 14 + 8
71
Nevaeh has read 168 pages of a 210- page book. What percent of the book has Nevaeh not read?
Answer:
168 ÷ 210 X 100
80 % is your answer
Step-by-step explanation:
folloe me plzzz
The Statue of Liberty's hand is 16.4 ft long. Assume that your own body is similar to that of the Statue of Liberty, your hand is approximately 7.6 inches long, and your nose is 1.8 inches long.
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
3(2c-5)
the options are
-6c-15
6c+15
6c-15
Answer:
6c-25
Step-by-step explanation:
comon man lol that's eays
Answer:
Answer would be the last one 6c-15
Step-by-step explanation:
Use distributive property!
the number outside the () times the numbers inside the ()
What’s the value of x?
write a story problem that can be represented with the following equation:
8x + 3 = 27
Answer:
Not sure if this works but here you go
Step-by-step explanation:
Junko spends 27 dollars on bananas the tax is 3 dollars and each banana is 8 dollars how many bananas did junko buy
Answer:
read below
Step-by-step explanation:
A pack of pens costs 8 dollars at the store. you decide to buy three packs of them the tax is three dollars. so your total is 27 dollars.
alternatively:
You have 27$ to spend on pens. you know the tax will be 3$, and that each pack of pens costs 8$. what is the maximum amount of packs of pens you can buy?
Does y=-2x represent a function
Find the slope and y-intercept of the line.
4)
m=
b=
Answer:
m=y = 2x + 4.
y intercept is 4
Step-by-step explanation:
SOLVE THE INEQULITY 4X-7<5
Step-by-step explanation:
the answer is
4x-7<5
4x<12
x<3
Solve 4+x/7=2 50 points
Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.
Step-by-step explanation:
Answer:
x=-14
Step-by-step explanation:
4+x/7=2
-4 -4
x/7=-2
*7 *7
x=-14
1. Write the next three terms of the arithmetic sequence
1, 8, 15, 22, ...
Answer:
29,36,43
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
the numbers are being added by 7
1 + 7 = 8
8 + 7 = 15
and so on
PLEASE HELP IT'S TIMED
Order from least to greatest 0, -1.9, -1 4/5, -1/3, and 0.25
Answer:
0.25, 4/5, 1/3, 1.9 and you answer mine please
Answer:
-1.9,-1 4/5, -1/3, 0, .25
Step-by-step explanation:
How do you write 6 = h(2) as an ordered pair?
20 POINTS PLZ HELP
4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.
Answer:
mmm... i think its 6-
Step-by-step explanation:
What’s 10x10+294892-2387482=?
Answer:
557,510
Step-by-step explanation:
haha big brain(jk calculater)
Answer:
557,510
Step-by-step explanation:
caculator
Write the equation of the line given a slope of 0 through the point (5, -7)
Answer:
y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=0(x-5)
y+7=0
y=0-7=-7
Solve the following equation: 4(x + 2) - 17 = 35
A: -11
B: 25/2
C: 15
D: 11
Answer:
D: 11
Step-by-step explanation:
4(x + 2) - 17 = 35
4x+8 - 17=35
4x-9=35
4x=35+9=44
x=44/4=11
What is the equation of the line that passes through (5,-3) and (3,7)
Answer:
-5x +22
Step-by-step explanation:
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Answer:
3(3x + 2y) and 9x + 6y
Step-by-step explanation:
3(x + 3y + 2x - y)
= 3 (x + 2x) + (3y - y)
= 3 (3x + 2y)
= (3 • 3x) + ( 3 • 2y)
= 9x + 6y
PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!
Answer:
UT = 8
Step-by-step explanation:
From the picture, we can make the following equation...
5 + 2x - 6 = x + 6
By solving it we get
5 + 2x - 6 = x + 6
2x - 1 = x + 6
2x = x + 7
x = 7
Therefor if UT = 2x - 6, then UT is equal to...
2x - 6 = UT
2(7) - 6 = UT
14 - 6 = UT
8 = UT
What is the area of the rectangle below?
a. 16 units
b. 32 units?
c. 39 units
d. 52 units?
3 units
13 units
Answer:
39 units
Step-by-step explanation:
when its a rectangle just multiply the two side lengths together to get the answer
HELP PLEASE 30 POINTS!!
Answer:
p - w = $25 OR w + $25 = p
Step-by-step explanation:
pencil = p
pen = w
p - w = $25 OR w + $25 = p
Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the cost of
each book?
Answer:
down below
Step-by-step explanation:
36/ 6 = 6
real answer is 5.57
Write the linear equation in slope-intercept form given the following:
Slope=2/3 ; y-intercept=-1
Answer:
y = 2/3x -1
Step-by-step explanation:
since the slope is m=2/3 and the line is intersepting at negative 1
the equasion is as follow:
y = 2/3x -1
Good luck.
FB: sharp4math
Solve the system of equations
Y = 2x
X - Y = 10
Answer:
x=-10, y=-20
Step-by-step explanation:
first you substiture the y in the second equation with the first
x-2x=10
then solve
1x-2x=-1
-x=10
multiply both sides by a negative to make the varible a
positive
x=-10
now we substitue the x in the first equation with -10
y=2(-10)
y=-20
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17
Step-by-step explanation: