Step-by-step explanation:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)
Let x = solid paper
Let y = printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find x:
8x + 15y = 51.50
8x = 51.50 - 15y
x = (51.50 - 15y)/8
Substitute x:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618 - 180y + 72y = 348
-108y = 348 - 618
-108y = -270
-108y/-108 = -270/-108
y = 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x = (51.50 - 37.50)/8
x = 14/8
x = 1.75
To check: x = 1.75 ; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
1.Write 0.50 as a fraction
2.Is 7.199 greater than or less than 7.104
3.Solve: 3x (4+1) - 5 =
Answer:
1) 50/100
2)greater
3)10
Answer:
Step-by-step explanation:
1) 0.50=50/100=5/10=1/2
2) 7.199>7.104 (greater than)
3) 3x(4+1)-5=3(5)-5=15-5=10
The rectangle below has an area of 35x^3 square meters and a width of 5x meters.
What is the length of the rectangle?
[tex]a = lw[/tex]
[tex]35 {x}^{3} = l(5x)[/tex]
[tex] \frac{35 {x}^{3} }{5x} = l[/tex]
[tex]7 {x }^{2} = l[/tex]
The length is 7x²
This triangle can only have one altitude.
A.True
B. False
C.It can have four
Help please.
Answer:
(B) false, because triangle have three altitude.
Pls help me and answer the question and not take my points pls and thank you.
Answer:
1/9 of 18 is 2
5/9 of 18 is 10
9 rows
The area of a rectangular outdoor stage has been extended on one side. The entire new area in square meters can be written as 216+12x. Factor the expression to find the dimensions of the extended stage.
PLZ HELP
Answer:
Dimension of the extended stage is; length = 6 m and width = 2x m
Step-by-step explanation:
Area of the rectangular outdoor = length x width
New area = area of the outdoor + area of the extended stage
= 216 + 12x
= 6(36 + 2x)
New area = 6 (36 + 2x)
So that;
The dimension of the rectangular outdoor = 36 x 6
i.e length = 36 m and width = 6 m
So that the dimension of the extended stage = length x width
= (6 x 2x) m
i.e length = 6 m and width = 2x m
Name
Date
8. The graph below represents the number of containers and liters of water
contained in the containers. What is the constant of proportionality?
60
Water (liters)
10 15 20
Number of Containers
25
I
I
9. The graph below represents the number of mennte that
100 + 55x > 150 + 51x
Answer:
x>25/2
(25/2,∞)
Step-by-step explanation:
Which question is best for gathering statistics?
A) What ethnic groups make up the population of your state?
B) Where were you born?
Answer: A
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!!
What is the factored form of each expression?
24. 20x + 35y
F. 4x + 7y, G. 5xy(4 + 7), H. 5(4x + 7y), I. (20 + 35) · (x + y)
25. 24x + 64y
A. 4(6x + 16y), B. 8(3x + 8y), C. 8xy(3 + 8), D. 3x +
Answer them both please! This is due in 2 minutes!!
Answer:
The answers are H and A, let me know in a comment if you want me to explain it
A $170.00 item is marked down by 10%.
Answer:
The new price is $153
Step-by-step explanation:
10% 0f 170 is 17
170-17=153
Given the following two points, find the Rate of Change for the function.
(-2,-1) and (4,5)
Answer:
(6, 6)
Step-by-step explanation:
(x) 4-(-2) = 6
(y) 5-(-1)= 6
Determine whether each pair of angles is conguent or not congruent. Select the correct answer for each lettered part.
a. <A and <B O Congruent O Not congruent
b. <A and <C O Congruent O Not congruent
c. <B and <C O Congruent O Not congruent
d. <B and <D O Congruent O Not congruent
e. <C and <D O Congruent O Not congruent
Answer:
a. congruent
b. not congruent
c. not congruent
d. congruent
e. not congruent
Step-by-step explanation:
a, b, & d are 45 degrees each.
c >45 degrees
Twelve decreased by twice a number equals -34
Answer:
-22
Step-by-step explanation:
-34+12=-22
!! 100 points for anyone who answers this problem !!
1,673,581,437 x 9,852,463,267 =__________
NO CALCULATORS!
lets see how smart you are >:)
Answer:
1,673,581,437 x 9,852,463,267 = 1.6488899E19.
Answer:
16488899632375574679
Step-by-step explanation:
So you have to multiply 1,673,581,437 x 9,852,463,267
Your answer is 16488899632375574679
help! How many square feet of outdoor carpet will we need for this hole
I need help on this question I’m in the middle of a quiz please answer if you know the answer.
Answer:
y-2=0
Step-by-step explanation:
okk
simple
y-2=0
okk
Answer:
second one
Step-by-step explanation:
Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7
and the width is 6x + 12, how wide is the rectangle?
Answer:
The wide of the rectangle = 42 inches
The length of the rectangle = 43 inches
Step-by-step explanation:
Step(i):-
Given that the length of the rectangle = 10x-7
Given that the width of the rectangle = 6x +12
The perimeter of the rectangle = 2(length + width)
Given that the perimeter of the rectangle = 170
Step(ii):-
2(length + width) = 170
length + width = 85
10x-7 +6x +12 =85
16x +5 = 85
16x = 85-5 = 80
x = [tex]\frac{80}{16}[/tex]
x = 5
Final answer:-
The length of the rectangle = 10(5)-7 = 50-7 = 43
The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42
The perimeter is the sum of its all sides. The rectangle is 42 inches wide.
What is the perimeter of the rectangle?The perimeter is the sum of its all sides. The perimeter of the rectangle is twice the sum of its length and its width.
[tex]\rm \text{Perimeter of rectanle}=2(Length +Breadth)[/tex]
As it is given to us that the length of the rectangle is (10x-7), while the width of the rectangle is (6x+12). Also, the perimeter of the rectangle is 170 inches. Therefore, using the formula of the perimeter of the rectangle we will get,
[tex]\rm Perimeter=2(Length +Breadth)\\\\170=2[(10x-7)+(6x+12)]\\\\170=2{10x-7+6x+12}\\\\170=2(16x+5)\\\\170=32x+10\\\\32x=160\\\\x=\dfrac{160}{32} = 5[/tex]
Now, substitute the value of x,
The width of the rectangle = 6x + 12 = 6(5)+12 = 30+12 = 42 inches.
Thus, the width of the rectangle is 42 inches.
Learn more about the Perimeter of Rectangle:
https://brainly.com/question/15287805
pleasee help ill mark brailist and if you can answer a couple of questions
Answer:
B
Step-by-step explanation:
Answer:
48to41, 48:41, 48/41
Step-by-step explanation:
if this is incorrect try
48to41, 48:41, 41/48
i need help pls!!!!!!!!
Ask me anything I’ll answer you
Answer:
uhh......weirdest dream you've had?
Dominic sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time ttt, in hours, since Dominic sent the letter, and the number of people, P_{\text{hour}}(t)P hour (t)P, start subscript, start text, h, o, u, r, end text, end subscript, left parenthesis, t, right parenthesis, who receive the email is modeled by the following function: Phour(t)=18⋅(1.05)t Complete the following sentence about the daily rate of change in the number of people who receive the email. Round your answer to two decimal places. Every day, the number of people who receive the email grows by a factor of .
Here's the answer. Have fun with it.
Answer:
3.23
Step-by-step explanation:
correct on Khan Academy
equation to find original price if sale price of $429 is a 34% discount
Answer:
The original price is $650
Step-by-step explanation:
There's an actual algebra method for this, but this is my method because I find it way easier to remember.
Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.
Now, turn it into a decimal because it makes the numbers easier- 0.66.
Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.
So, 429 ÷ 0.66 = 650.
Therefore, the original price of the $429 sale price for a 34% discount is $650.
Harleigh bought new wrestling shoes for $45. Last
week they were on sale for $35, what is the percent of
increase?
Answer:
28.57
Step-by-step explanation:
35-45 would be a 28.57 percent increase
Point A has coordinates (5,3). If Point A is reflected across the x-axis, what are the coordinates of its image?
(-5, -3)
(-5, 3)
(3, -5)
(5, -3)
Answer:
(5, -3)
Step-by-step explanation:
when you reflect across x axis the y changes symbols.
a map is drawn in the scale of 1:500000. the area of a pond on the actual ground is 100km^2. find the area on the map in square centimetres that represents the pond
Answer:
2 000 000 [tex]cm^{2}[/tex]
Step-by-step explanation:
100 [tex]km^{2}[/tex] = 1 000 000 000 000 [tex]cm^{2}[/tex]
the scale of 1:500000 means that 1 cm in the map represents 500000 cm in reality
So on the map this pond's area would be
[tex]\frac{1 000 000 000 000}{500000}[/tex] = 2 000 000 [tex]cm^{2}[/tex]
Joquan's brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold 9900 worth of shoes. How much was his commission
Answer:
His commission was $247.50
Step-by-step explanation:
Percentage
Joquan's brother earns a 2.5% commission on the amount he sells.
Last week, he sold $9,900 worth of shoes, thus his commission will be calculated as follows:
2.5% of $9,900 = 2.5 *$9,900 / 100 = $247.50
His commission was $247.50
A magazine costs $3 and a book cost $7 if you want to spend exactly $45 on reading this month and you need to buy eight magazines how many books can you buy write an equation in standard form modeling the situation then see how many books you can buy let em represent the number of magazines you buy and B represents the number of books you buy.
Answer:
m = 8 and b = 3 OR m = 15 and b = 0
Step-by-step explanation:
Note that the conditions on this problem could be contradictory (they are likely not, but could be)
let m be the number of magazines bought
let b be the number of books, then
3m is the cost of the magazines bought and
7b is the cost of the books bought, since $45 exactly must be spent then
3m + 7b = 45
Let us assume m = 8 and see what happens
3(8)+7b = 45
24+7b=45
7b=21
b=3, this meets the requirements and results in an integer (whole) number of books, if b had ended up as a fraction, then m=8 would have to be wrong and we would have tried m=9 , then 10, 11, 12, up to 15 if necessary until we got a whole number of books. Notice that 15 magazines and 0 books also works
The price of concert ticket dropped from $177 to $91. What was the precent of decrease in price of tickets? PLEASE HELP ASAP
Answer:
The percent of decrease can be calculated with this formula:
(Original value - New Value)/(Original Value)
In this case, the original value is 117 and the new value is 91.
So the percent of decrease is 26/117, or about 22%.
Hope this helps!
If Kelly wakes up after 6:30, then Kelly will be late to
school.
Kelly woke up at 6:45.
A. Kelly will arrive early to school
B. Kelly will be late to school.
C. Kelly will be on time to school.
D. Kelly will catch the bus to school.
Answer:She’ll be late to school
Step-by-step explanation:
All trapezoid are ______________________.
Answer:
quadrilaterals:))))))))))))
Step-by-step explanation:
hope it helped:))))))))))
Answer:
Quadrilaterals
Step-by-step explanation:
All trapezoids have 4 sides, quadtrilaterals are 4-sided polygons.
Hope this helped :)