Answers
Answer:
Answer to part A:
1 notebook = $2.5
1 pen = $1.5
Answer to part B:
= 3 pens.
Step-by-step explanation:
Here's the simultaneous equation.4n + 3p = $14.50
5n + 6p = $21.50
Multiply the numerator by the denominators first number and vice-versa.5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
Here's what you should get.20n + 15p = $72.50
20n + 24p = $86
Eliminate the like numbers by subtracting the denominator from the numerator.20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
Divide the result after the equal sign by the result before the equal sign.-$13.5 ÷ -9 = $1.5p
Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
Here's the answer to part A:1 notebook = $2.5
1 pen = $1.5
Part B::::::::::::::::::1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
Therefore, she'll buy each supply thrice:3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
Answer to part B:= 3 pens.
Related Questions
Can someone help me please?
Answers
Answer:
3/10
Step-by-step explanation:
3 of the vertical bars are highlighted out of the 10 total bars. 3/10 is equivalent to 0.3.
9 - 3 / 1/3 + 1 =
In word form-
nine minus three divided by one third plus one
Please help
Answers
Answer: 1
Step-by-step explanation:
9 - 3 ÷ 1/3 + 1 = 9 - 3 × 3/1 + 1
= 9 - 9 + 1 = 10 - 9 = 1.
' . , ' ' . , "-" & "+" . ' , ' .
. ^-^
The table shows the prices of two types of juice. How much does
each type of juice cost per gallon? There are 4 quarts in a gallon.
Juice Price Volume
Orange $3.25 0.5 gallon
Peach $4.50 1.5 quarts
Answers
Answer:
Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon
Step-by-step explanation:
Step 1: Determine the price of the Orange juice
$3.25 per 0.5 gallon
($3.25 * 2) per (0.5 * 2) gallon
($6.50) per (1) gallon
Step 2: Determine the price of the Peach juice
$4.50 per 1.5 quarts
$4.50 per 0.375 gallon
($4.50 * 2.667) per (0.375 * 2.667) gallon
($12.00) per (1) gallon
Answer: Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon
Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
Answers
Answer:
the first one
Step-by-step explanation:
Answer:Option A is correct. (light blue color in the triangle choices)
is 5.029 less than 5.128
Answers
yes
Step-by-step explanation:
After the point the first number of the first number is 0 while the second one is 1
Explain in a complete sentence on how you would find the area of a triangle when given the base and height
Answers
Your equation to solve is:
b(h)
——
2
does anyone know what the answer for this is??
Answers
Answer:
Part 1) 150
Part 2) 6
Step-by-step explanation:
Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%
30×5 = 150
Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%
30÷100 = 0.3
0.3×20 = 6
Please give brainliest if I helped!
133.875 as a fraction
Answers
Answer:
0.875 is just 7/8, so 133.875 is 133 7/8 or (133*8+7)/8 = 1071/8
I don’t get this question
Answers
Answer:
The equation of the line is y = 4.
Step-by-step explanation:
It looks like they are asking for the equation of the bold line.
The area of a square is 100. The length of its diagonal is approximately:
Answers
Answer:
10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x [tex]\sqrt{2}[/tex]
So the length of diagonal is 14.14 approximately
Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?
Answers
a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
b. The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
To answer the question, we need to know what definite integrals are.
What are definite integrals?These are integrals which are evaluated between two values of the variable.
a. Integral of [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex][tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]
We require [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]
So, [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
Substituting the values of the variables into the equation, we have
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]
[tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]
b. Integral of [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx[/tex][tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
So, [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]
Learn more about definite integrals here:
https://brainly.com/question/17074932
if the sum of the two consecutive odd number is 20 find the numbers
a
Answers
Answer:
9 and 11
Step-by-step explanation:
let two numbers be X and X+2
so
x+X+2=20
solve for X
x=9
x=20
Answer:
11 + 9 = 20
Step-by-step explanation:
Consecutive odd nymbers are odd numbers that follow each other.
think which two consecutive odd number when added will give 20.
odd numbers = 1 3 5 7 9 11 13 15 17 19
9 follows 11 and when added will equal 20
Simplify a^2-3a2 a^3-8a^2+12a to lowest terms
Answers
Answer:
[tex]\frac{a-3}{(a-2)(a-6)}[/tex]
Step-by-step explanation:
[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].
[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].
Put these two expressions over one another and you get [tex]\frac{a-3}{(a-2)(a-6)}[/tex].
Can someone help me please
Answers
Answer:
76 chess sets
Step-by-step explanation:
Since they bought 16 cases and each contains 18 sets, let's multiply them
16 x 18 = 288
There were already 16 sets before that so lets add those as well
288 + 16 = 304
Now since there are 4 teachers we divide this among them
304/4 = 76
76 is the answer.
Help me please math
Answers
Started with $70
Coffee at $8.74/lb
Ended with $35.04
First, subtract $35.04 from $70. Result: 34.96Second, divide $35.04 by $8.74 to see how many pounds she bought. Result: 4 poundsSusan bought 4 pounds of coffee.
:)
11. Which two lines are parallel?
1. 5y = 2x - 5
2. 5y = -4+ 3x
3. 5y - 3x = -1
Answers
draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)
Answers
Answer: y=2.5x-8, the two points necessary to graph would be (2,-3) and (0,-8)
Step-by-step explanation: If the line passes thru (2,-3), let us plug in and find c. -3-2.5(2)=c
-3-5=c
c=-8 so y=2.5x-8
The line will represent the graph of the equation y=2.5x-8.
The two points necessary to graph would be (2,-3) and (0,-8).
What is the slope-intercept form?
The slope-intercept form is y=mx+c
If the line passes through (2,-3),
let us plugin and find c.
So we get,
[tex]-3-2.5(2)=c[/tex]
[tex]-3-5=c[/tex]
[tex]c=-8[/tex]
So, The equation of the line is y=2.5x-8.
To learn more about the equation visit:
https://brainly.com/question/2972832
PLEASE ANSWER 30 POINTS!!!!!
Answers
Answer:
E. Point E
Step-by-step explanation:
First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.
I hope this helps.
Need Help Immediately! Brainly will be given to the best response
Answers
Answer:
Option B
Step-by-step explanation:
Recreate the graph with a vertical intercept that is twice the value of the intercept shown in Figure 2 , because the angular velocity is increased from wy to 2wd . The slope of the line should be the same in both graphs , because the angular acceleration is the same in both graphs .
Select all the correct answers.
Which pay rates are common ways employers pay employees?
commission
daily pay
hourly pay
quarterly pay
salary
Answers
Answer:
The employers pay their employees based on hourly rates, commission and salary.
Step-by-step explanation:
The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.
The final salary is based on the numbers of hours worked multiplied by the hourly rate.
Secondly, the pays are also commission based. That is your base salary plus the commission.
The salary is typical in management positions. These are not hourly based but a lump sum pay.
So, the correct answers are : commission, hourly pay and salary.
A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?
Answers
The front and back would be ; (length x height) x 2
So;
(20 x 30) x 2
= 1200 cm^2
Then calculate the area of the top and bottom of the box;
(Width x Length)
(5 x 20) x 2
= (100) x 2
= 200 cm ^2
And finally the sides of the box:
(Width x Height) x 2
(5 x 30) x 2
= 300 cm^2
Now add all of the individual areas up to find the total surface area of the cereal box:
1200 + 200 + 30
= 1700cm^2 in total
Which survey question could have been asked to produce this data display?
Answers
Answer:
b
how far did you walk
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is b
Help please. It’s urgent. Right answer gets brainliest
Answers
Answer: Please check the image below.
Pleas answer this asap!!!
Answers
Answer: B
Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2
Because -3+5=2
help
10 points
brainleist
Answers
Answer:79 degrees i believe
Step-by-step explanation:
Answer:
79 degrees.
Step-by-step explanation:
There is many ways you can take this problem. The easiest is alternate exterior. Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.
Reflect the given triangle over
the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [
Answers
Answer:
3 3
6 3
Step-by-step explanation:
for reflecting over line y=x, you just change the places of y and x.
(6,3) becomes (3,6).
The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.
Answers
180
Step-by-step explanation:
Take 2/3 cross multiply 120/x
Giving you 360/2x.
Solve for X by dividing 360 by 2
please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answers
Answer:
t = 40
Step-by-step explanation:
The sum of the two angles is 70
70 = t+30
70-30 =t+30-30
40 =t
Answer:
40
Step-by-step explanation:
t = 70 - 30
t = 40
hope it helps
What is the area of this 1/4 circle?
Answers
[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]
[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]
[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]
[tex] \frac{144}{4} \pi = \\ [/tex]
[tex]36\pi[/tex]
-4y + 14 = 22
-6x + 5 = -1
Answers
Answer:
x = 1, y = -2
Step-by-step explanation: