Answer:
4 4/5 (x) = 1 1/5
Step-by-step explanation:
The art form created by using points is *
Answer:
Pointillism
Step-by-step explanation:
The octane rating of gasoline is the percentage of isooctane in the fuel. For example, 89-octane gasoline contains 89% of isooctane. How many liters of 88-octane gasoline should be mixed with 100 liters of 95-octane gasoline to get a mixture which is 93-octane gasoline ?
Answer:
40 liters of 88-octane gasoline should be mixed
Step-by-step explanation:
Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.
Since we do not know the number of liters, we can represent it by x
This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.
Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;
Hence;
88(x) + 100(95) = 93(100 + x)
88x + 9500 = 9300 + 93x
93x -88x = 9500-9300
5x = 200
x = 200/50
x = 40 liters
In the relationship below, the color of the circle changes according to the
height of the rectangle. Which expression below is the best choice to
describe this relationship in function notation?
A. H (c)
B. R (h)
C. C (h)
John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
Answer:
2h30m
Step-by-step explanation:
Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.
50 points!!!! plz i need help!!! what is 3x^-4(8x+12x) simplified??
Answer:
60
x^3
Step-by-step explanation:
3x^-4 (8x + 12x)
apply exponential rule:
= 3 * 1/x^4 *(8x + 12x)
add similar elements
= 3 * 20 * (1/x^4) x
multiply fractions:
= 1 * 3 * 20x
x^4
simplify:
= 60x
x^4
finally = 60
x^3
Collect like terms
3x^-4×(8x+12x)
Calculate=3x^-4 * 20x
Solving Further=60x^-3
Express with a positive exponent=60 * 1/x^3
Solution[tex] \frac{60}{ x {}^{3} } [/tex]
Joni sells kitchen aprons online for $32.50 each. How many aprons must she sell next month if she wants to earn at least $1,000?
Answer:
she must sell 31 aprons
The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.
In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.
Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.
$1000 / $32.50 = 30.77
Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.
A similar question was answered here: https://brainly.com/question/24462459
On average, 8 potatoes cost $1.50 at
Peter's Produce Market. Fernando needs to buy
22 potatoes.
a. How much will it cost Fernando to buy 22 potatoes? How does this compare
to your estimate?
b. How many potatoes could Fernando buy with $7?
c. What is the unit cost per potato?
Answer:a) it will cost him $4.13 rounded
B)about 36
C)$ 0.19 (rounded) per potato
The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that
8 potatoes cost $1.50
8 potatoes ⇔ $1.50
1 potato ⇔ $(1.50/8)
a) →
22 potatoes will cost 22 × $(1.50/8) = $4.13
b) →
8 potatoes ⇔ $1.50
$1 ⇔ 5.33 photos
By multiply 7
$7 ⇔ 37.33
Si Fernando can buy 37 potatoes.
c) →
1 potato ⇔ $(1.50/8)
1 potato ⇔ $0.1875
Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is $0.1875".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?
Find cos A and B. Write each answer as a fraction
Answer:
cosA = 5/13
cosB = 12/13
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
cosA = 10/26
cosB = 24/26
Does anyone know how to do number 18????
Answer: angle ITU = 145 degrees
===============================================
Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
----------
As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU
Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32
Is 3(x+x+y) equivalent to 3x+3(x+y)
Answer:
yes
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Step 1: Distribute 1st equation
3x + 3x + 3y
Step 2: Combine like terms
6x + 3y
Step 3: Distribute 2nd equation
3x + 3x + 3y
Step 4: Combine like terms
6x + 3y
We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.
Your favorite radio station is having a contest! The host poses a question to the listeners. If the caller answers correctly, he or she wins the prize money. If the caller answers incorrectly, $30 is added to the prize money and the next caller is eligible to win! The contest starts with a $100 prize for the first caller.
Part A: The first 4 callers have all missed the question. How much money is the 5th caller eligible to win? Show your work or explain your thinking.
Part B: You are the 12th caller to call in, and you win the prize! How much money will you win?
Answer:
A:150
B: 360 if all before are wrong
Answer:
A 150
Step-by-step explanation:
B- 360 if all before are wrong
plzzzzzzzzz helpppp meeeee
Answer:
it will be 1 not -15 or -1 because thats in the left
Is 2 tens 3 tenths 1 thousandth greater than, less than, or equal to 20.31?
Answer:
less than
Step-by-step explanation:
2 tens = 20
3 tenths = .3
1 thousandth = .001
put it together = 20.301
20.301 < 20.31
less than
Simplify the expression: 4(2 + 6j)
Answer:
[tex]8+24j[/tex]
Step-by-step explanation:
[tex]4(2+6j)[/tex]
Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
Thus,
[tex]4* \:2+4* \:6j[/tex]
[tex]8+24j[/tex]
Answer:
24j + 8
Step-by-step explanation:
multiply 2 and 6j with 4
Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the three fish?
Answer:
8 lbs 5 oz
Step-by-step explanation:
When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.
There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.
you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.
-5 – 3x > 2(10 + 2x) + 3
Solve inequality
Answer: x < -4
ervrdbtyunbyjthdrggvghbdxfgchvj
Answer:
x>-4
Step-by-step explanation:
-5-3x>2(10+2x) +3
-5-3x>20+4x+3
-5-3x>4x+23
-5>7x+23
-28>7x
-4>x
Which of the following equations is equivalent to S = pi r squared h? h = uppercase S minus pi r squared h = StartFraction uppercase S Over pi r squared EndFraction h = StartFraction pi r squared Over uppercase S EndFraction h = uppercase S + pi r squared
Answer:
h = S - pie r ^2
Step-by-step explanation:
A on edge
The equation equivalent to : S = pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
We have - S = pi r squared h
We have to find which equation is same as S = pi r squared h
What is the volume of Cylinder of radius [tex]r[/tex] and height [tex]h[/tex]?The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -
[tex]\pi r^{2}h[/tex]
which is same as -
pi r squared h
when written in word format.
Let Suppose -
[tex]S=\pi r^{2} h[/tex]
which can be written in terms of height [tex]h[/tex] as -
[tex]h=\frac{S}{\pi r^{2} }[/tex]
Now, if we write the above equation in word format, we get -
h = StartFraction uppercase S over pi r squared EndFunction
Therefore, the equation equivalent to pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
To solve more questions on equivalent expressions, visit the following link -
https://brainly.com/question/27915224
#SPJ6
A waitress sold ribeye steak dinners and grilled salmon dinners, totaling $ on a particular day. Another day she sold ribeye steak dinners and grilled salmon dinners, totaling $. How much did each type of dinner cost?
Answer:
ribeye steak: $24.37grilled salmon: $9.30Step-by-step explanation:
If we let r and g represent the costs of a ribeye steak dinner and grilled salmon dinner, respectively, the sales figures give rise to two equations.
17r +15g = 553.74
22r +5g = 582.65
If we multiply the second equation by 3 and subtract the first, we have ...
3(22r +5g) -(17r +15g) = 3(582.65) -(553.74)
49r = 1194.21
r = 1194.21/49 ≈ 24.37
g = (553.74 -17r)/15 ≈ 9.30
The steak dinner costs $24.37; the salmon dinner costs $9.30.
_____
Check
17(24.37) +15(9.30) = 553.79 . . . not 553.74
22(24.37) +5(9.30) = 582.64 . . . not 582.65
There is no exact solution to this problem.
Answer:
R=cost of rib-eye dinner; S=cost of salmon dinner
24R+10S=$580.66
10S=$580.66-24R
20S=$1161.32-48R Use this to substitute for 20S below
17R+20S=$590.81 . Substitute for 20S.
17R+($1161.32-48R)=$590.81
-31R=-$570.51
R=$18.40
ANSWER 1: Rib-eye dinner costs $18.40.
Step-by-step explanation:
24R+10S=$580.66
24($18.40)+10S=$580.66
$441.60+10S=$580.66 441.69
10S=$139.06
S=$13.91
ANSWER 2: A salmon dinner costs $13.91.
CHECK:
17R+20S=$590.81
17($18.40)+20($13.91)=$590.81
a triangle has side lengths g, h, and k. The relationship among the side lengths of this triangle is shown
The angle opposite side h = 45°.
The angle opposite side , h, = 45°.
The angle opposite side k = 90°.
The angle opposite side , k, = 90°.
The triangle is a right triangle.
The triangle is a right triangle.
The triangle is not a right triangle.
Two
pages
that face each other in a book have 343 as the sum of their page
numbers. What is the number of the page that comes first?
Answer:
171
Step-by-step explanation:
I divided 340 first and got 170 for each page number then I had 3 left over.
I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.
So the first page number should be 171 :)
I hope this helped you understand :)
The number of page that comes first is 171.
It is given that in a book two pages that face each other have sum of 343 of their page numbers.
We have to find out what will be the number of page that comes first.
What will be the value of x , if x + (x + 2 ) = 18 ?
The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.
As per the question ,
In a book sum of two pages that face each other = 343
Let's assume that the page which comes first will be have page number x.
So,
x + (x + 1) = 343
2x + 1 = 343
2x = 342
x = 342 ÷ 2
x = 171
The other page will have number :
= x + 1
= 171 + 1
= 172
Thus , the number of page that comes first is 171.
To learn more about algebraic expression click here ;
https://brainly.com/question/26479183
#SPJ2
A number is multiplied by 5. If 1 is added to
the product, you get 6. What is the number?
Answer:
1
Step-by-step explanation:
The number is
1 x 5 = 5
5 + 1 = 6
Answer:
The number is 1
Step-by-step explanation:
5x + 1 = 6
6 minus 1 = 5
1 minus 1 = 0
5x = 5
x = 1
hopefully this helps you :)
pls mark me brainlest ;)
Karlie ate lunch with her friends at Chuy's. They had a delicious meal that 20 cost $62. If the sales tax rate is 8.25% what is the amount of sales tax they had to pay? ROUND YOUR ANSWER * O $5.12 O $6.76 O $5.27 O $51.20
Answer:
tax = 5.12
Step-by-step explanation:
given:
tax rate = 8.25 = 8.25/100 = .0825
meal cost = $62
find:
what is the amount of sales tax they had to pay
tax = $62 x 0.0825
tax = 5.12
Emily completed 44% of the book that she is reading. If the book has 150 pages, how many pages has she read?
Answer:
66 pages
Step-by-step explanation:
0.44 x 150 number of pages = 66 pages
Answer:
66 pages
Step-by-step explanation:
44%of 150 =44 ×150 :100 =6600 :100 =66 pages has read
What is the solution set for (x+3) = 5?
Answer:
x=2
Step-by-step explanation:
subtract 3 from both sides
5-3=2
x=2
Answer:
x=2
Step-by-step explanation:
Move all terms not containing
x
to the right side of the equation.
If you can buy 2 quarts of ice cream for $3, how much ice cream do you get per dollar? 2/3 of a quart of ice cream O 1 quart of ice cream 0 1 and a half quarts of ice cream 1 and 1/3 quarts of ice cream
Answer:
C
Step-by-step explanation:
3 divided by 2 = 1 and 1/2
What is the probability of the spinner stopping on an even number?
Answer:
D because thee are 5 even numbers
The probability of the spinner stopping on an even number will be equal to 5/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total number on the spinner is 10
The total even number on the spinner is 5.
The probability of the spinner stopping on an even number = 5/10
Learn more about probability here;
https://brainly.com/question/11234923
Complete the sentence to make it a true statement. 60 is 1/100 of
Answer:
6000
Step-by-step explanation:
If it is one hundredth than multiply by 100 to get 6000
25) Norachai had some candy to give to his
three children. He first took five pieces for
himself and then evenly divided the rest
among his children. Each child received
five pieces. With how many pieces did he
start?
Answer:
30
Step-by-step explanation:
He took 5 pieces.
His children took 5 * 5 pieces = 25
The total is 5 + 25 = 30.
