Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
------
The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
The unit prices of 48-oz bottle and 32-oz bottle are $0.0183 and $0.01.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given, 48-oz bottle is $0.88 more than the 32-oz bottle.
That means,
0.88 > 32 x ( 0.01)
0.88 > 0.32
And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.
Unit price of 48-oz bottle,
= 0.88 / 48
= 0.0183
Unit price of the 48-oz bottle is $0.0183.
Therefore, $0.0183 and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!
Step-by-step explanation:
By reflection
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar
Answer:
8 batches
Step-by-step explanation:
You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
if u have 105 in 7 days what would you have in 1 day?
Answer:
I would have 15.
Step-by-step explanation:
In 7 days, I would have 105.
In 1day, I would have 105/7
=15
Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B
Answer:
12
Step-by-step explanation:
House A is 24. So divide it by two to get 12. Which is house B
Write the word sentence as an equation. A number divided by -8 is -13
Answer:
104
Step-by-step explanation:
-8 * -13 = 104
104/-8=-13
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
1/4
Step-by-step explanation:
use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.
(y2-y1)
----------
(x2-x1)
6-5
-------
0-(-4)
1/4
5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Expressions can be represented as equations, and vice versa.
A possible situation is as follows:
John is 15 years old, and his age is 3 more than 5 times his brother's age
The equation is given as:
[tex]\mathbf{5p + 3 = 15}[/tex]
This means that:
15 represents John's ageP represents his brother's age5 and 3 are the constants that relate their agesRead more about word equations at:
https://brainly.com/question/20518082
The equation 5p + 3 = 15 can be used to find Mgbafor's age when Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.
The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.
Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.
Learn more: https://brainly.com/question/11897796
how many times can 10 go into 5228
Solve.
x−(−256)=−15
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
x =
Step-by-step explanation:
[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]
Please help me
20 points
Answer:
1). Simplify the expression.
Exact Form:
( [tex]\frac{37}{25}[/tex] )
Decimal Form:
1.48
Mixed Number Form:
( [tex]1\frac{12}{25}[/tex] )
2). Simplify the expression.
91.46
3). Simplify the expression.
Exact Form:
[tex]\frac{17}{24}[/tex]
Decimal Form:
0.7083 ( bar notation)
4). Simplify the expression.
81.49
How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]
Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
20) Joan bought a soft drink for 2 dollars and 8 candy bars. She spent a total of 34 dollars. How much did each candy bar
cost?
Answer:
the answer is$4
Step-by-step explanation:
he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars
simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.
help with this question
Answer:
Step-by-step explanation:
evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =
Answer:
h(4) = -1 ; h(-5) = 1 h(0) = -9
Step-by-step explanation:
a) h(x) = |-2x| - 9 Substitute x = 4
h(4) = | -2 · 4| - 9
h(x) = | -8| - 9
h(4) = 8 - 9
h(4) = -1
b) h(x) = |-2x| - 9 Substitute x = -5
h(-5) = |-2 · -5| - 9
h(-5) = |-10| - 9
h(-5) = 10 - 9
h(-5) = 1
c) h(x) = |-2x| - 9 Substitute x = 0
h(0) = |-2 · 0| - 9
h(0) = |0| - 9
h(0) = 0 - 9
h(0) = -9
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
Answer:
SU ≅ RPΔPQR ≅ ΔUTSStep-by-step explanation:
For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)
needed: SU ≅ RP
If we label the triangles in order by hash marks, the congruence statement becomes ...
ΔPQR ≅ ΔUTS
plz help ill give brainliesy
Answer:
0.02a
Step-by-step explanation:
Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.
what is halfway between 140,000 and 150,000
Answer:
145000
Step-by-step explanation:
(150000-140000)÷2=10000÷2
=5000
140000+5000=145000
Answer:
145,000
Step-by-step explanation:
To find halfway between two numbers is the same as finding the mean of two numbers.
140,000+150,000=290,000
290,000/2
=145,000
Hope this helps :)
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
PLS WHAT IS THE REAL ANSWWR ASAP
the answer is t<-48
i hope this helped you if you need the explanation lmk
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
Simplify. 54+4(3/4−1/2)2
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
Someone plz help me :(
Answer:
I think it's D
Step-by-step explanation:
Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.
3 pounds of peanuts for $7. 50. How much is the cost per pound?.
