Answers
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
Related Questions
Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)
Answers
Step by Step Explanation:
The photo on this message are the quadrants, to be in quadrant IV or 4; x needs to be positive and y needs to be negative, so (4,-2) will be in Quadrant IV
Please help me with this OMGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answers
Answer:
[tex]The \: slope \: is \: \frac{7}{3} .[/tex]
Step-by-step explanation:
To find the slope, we have to turn the equation into the slope-intercept form which is:
[tex]y = mx + b[/tex]
The slope is the m in that form.
we will solve for y.
[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]
Answer:
Step-by-step explanation:
-3y = -7x + 21
3y = 7x - 21
y = 7/3x - 7
slope is 7/3
answer is C
1.Which statement about two negative numbers is true? .
Answers
Answer:
To negative numbers makes a positive number.
(only in dividing and multiplying)
Step-by-step explanation:
Please mark me brainliest
Determine the range of the following relation.
Input output
-4 1
0 7
2 2
7 7
A
{2, 7}
B
{1, 2, 7}
C
{–4, 0, 2, 7}
D
{–4, 0, 1, 2, 7}
Answers
Answer:
The range of the relation is:
Range R = {1, 2, 7}
Therefore, option B is true.
Step-by-step explanation:
Given the relation
Input Output
-4 1
0 7
2 2
7 7
Determining the domain:
We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.Thus, the domain of the relation is:
Domain R = {-4, 0, 2, 7}
Determining the range:
We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.Thus, the range of the relation is:
Range R = {1, 2, 7}
Please note that the duplicated elements in the domain or the range of the function are written only once.Therefore, option B is true.
Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answers
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
A right triangle has one angle that measures 24°. What is the measure of the other acute angle?
Answers
Answer:
66 degrees
Step-by-step explanation:
90+24=114
180-114=66
Answer:
66 degrees
Step-by-step explanation:
a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114
180-114 is 66
How do you show 72 × 139
(doing the work)
Answers
Answer:
10008
Step-by-step explanation:
how to change a vector direction by 90 degree
Answers
Answer:
multiply the X part of the vector by -1, and then swap X and Y values
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!!!!
Answers
Answer:
the answer is c
Step-by-step explanation:
dont mess with people who need help go earn your answers dont steal points
Write the relation as a set of ordered pairs.
a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)}
Answers
How can I find the systems of linear inequalities
Answers
Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9
Answers
Answer:
x=-4
Step-by-step explanation:
Answer: A
Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y dollars, is a function of the number of times she orders a meal from the cafeteria, x. How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?
Answers
Answer:
i think it's 11 meals have been ordered
Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?
Answers
Answer:
4 quarters
4 nickels
Step-by-step explanation:
Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4
Answers
Answer:
Step-by-step explanation:
1). g(x) = -0.5x
Equation form of the given function is,
y = -0.5x
Interchange x and y,
x = -0.5y
Solve for y,
y = [tex]-\frac{x}{0.5}[/tex]
y = -2x
Inverse function will be,
[tex]g^{-1}x=-2x[/tex]
2). h(x) = 4x
Equation form of the function will be,
y = 4x
Interchange x and y,
x = 4y
Solve for y,
y = [tex]\frac{x}{4}[/tex]
Inverse function will be,
[tex]h^{-1}(x)=0.25x[/tex]
3). y = x - 4
Interchange x and y,
x = y - 4
Solve for y,
y = x + 4
Therefore, inverse of the linear equation is,
y = x + 4
4). f(x) = [tex]\frac{x}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x}{2}[/tex]= x
Interchange x and y,
x = [tex]\frac{y}{2}[/tex]
Solve for y,
y = 2x
Therefore, inverse function will be,
[tex]f^{-1}(x)=2x[/tex]
5). k(x) = x
Equation form of the function will be,
y = x
Interchange x and y,
x = y
Solve for y,
y = x
Inverse of the function 'f' will be,
[tex]k^{-1}(x) =x[/tex]
6). p(x) = x + 4
Equation form of the function will be,
y = x + 4
Interchange x and y,
x = y + 4
Solve for y,
y = x - 4
Inverse of the function 'p' will be,
[tex]p^{-1}(x)=x - 4[/tex]
I will give barinest if solved
Answers
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]
2 year loan at 6 percent interest rate and $264.00 paid wa
Answers
Answer:2,576
Step-by-step explanation:
PLEASE HELP!
Find the real or imaginary solutions of the following equation by factoring.
y^3 + 27 = 0
Answers
Answer:
-31.5(1 + i√3)1.5(1 - i√3)Step-by-step explanation:
y³ + 27 = 0(y + 3)(y² - 3y + 9) = 01. y + 3 = 0 ⇒
y = -32. y² - 3y + 9 = 0
y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)Answer:
Do u still need the answer?
Step-by-step explanation:
For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters
Answers
Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.
Step-by-step explanation:
In 2011, the population of Mali was about 1.584 x 107 people. What is this number written in standard
notation?
Answers
Can someone help me
Answers
Answer: its
12 4
_
7
Step-by-step explanation:
Answer:
12 4/7
Step-by-step explanation:
5 1/7 + 7 3/7 =
= 5 + 1/7 + 7 + 3/7
= 5 + 7 + 1/7 + 3/7
= 12 4/7
Answer: 12 4/7
Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2
Enter answer as ordered triple.
Answers
X+2y - 4z =4
2x-y +2z =3
3x-8z=-2
9z / 14y/7x
Answer:
(2,3,1)
Step-by-step explanation:
i just did the problem
hope this helps :))
Pls Help! Will mark brainliest!!!! 20 Points!!!!!
Answers
Answer:
I think x = 4
Step-by-step explanation:
x3 + -2x2 + -8x = 0
Reorder the terms:
-8x + -2x2 + x3 = 0
Solving
-8x + -2x2 + x3 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + -2x + x2) = 0
Factor a trinomial.
x((-2 + -1x)(4 + -1x)) = 0
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:
Simplifying
-2 + -1x = 0
Solving
-2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2
Combine like terms: 0 + 2 = 2
-1x = 2
Divide each side by '-1'.
x = -2
Simplifying
x = -2
Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4
Answers
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)
Answer:
D. 5x^2-4
Step-by-step explanation:
We are asked to find (f+g)(x), which is really just the sum of the two functions.
(f+g)(x)=f(x)+g(x)
We know the the functions are:
• f(x)= 4x^2+1
• g(x)=x^2-5
Substitute the functions in.
(f+g)(x)=(4x^2+1)+(x^2-5)
Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.
(f+g)(x)= (4x^2+x^2)+(1-5)
Add the terms with x^2
(f+g)(x)=(5x^2)+(1-5)
Add the constants or terms without variables.
(f+g)(x)=(5x^2)+(-4) = 5x^2-4
The sum of the functions is D. 5x^2-4
PLZ HELP I WILL GIVE BRAINLIST
Answers
Answer:
I'm sorry
Step-by-step explanation:
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?
Answers
Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?
Answers
Answer:
167 pairs
Step-by-step explanation:
Represent jeans with J and shirts with S
[tex]S = 2J[/tex]
[tex]Amount = \$500[/tex] --- Maximum
Required
Determine the number of pair of jeans he can buy
To represent as an inequality, we have:
[tex]S + J \leq Amount[/tex]
[tex]S + J \leq 500[/tex]
Substitute 2J for S
[tex]2J + J \leq 500[/tex]
[tex]3J \leq 500[/tex]
Divide through by 3
[tex]J \leq 500/3[/tex]
[tex]J \leq 167[/tex]
Hence, without exceeding $500, Jess can buy 167 pairs of jeans
Answer:
7
Step-by-step explanation:
30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500
Use the relashonships between the angles to find the value of x
Answers
Answer: and I oop skssss
Step-by-step explanation:
87 = x
hope this helped
-2(m+1) = 10, whats m?
Answers
-2(m+1) = 10
-2m+-2 = 10
-2m = 12
-m = 6
Answer: m = -6
1/3 x (21.69 – 24.99)
Answers
Answer:
I think it might be 0.30
Step-by-step explanation: