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.
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Learning Task 3: Write at least three equivalent ratio of the given ratio. Write your answer in your notebook. 6.) 8/10 = 7.) 3/5 = 1.) 2/4 = . = 2.) 5/10 = 3.) 4/5 = = I 8.) 2/8 = 9.) 3/7 = 10.) 6/8 4.) 3/9 = 5.) 2/5 = - cond and colon form. Do this in
Answer:
Equivalent Ratio
A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.
Solution:
Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.
1) 2⁄4 = 1⁄2, 4⁄8, 6⁄12
2÷2 / 4÷2 = 1⁄2
2×2 / 4×2 = 4⁄8
2×3 / 4×3 = 6⁄12
2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60
5÷5 / 10÷5 = 1⁄2
5×4 / 10×4 = 20⁄40
5×6 / 10×6 = 30⁄60
3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35
4×2 / 5×2 = 8⁄10
4×4 / 5×4 = 16⁄20
4×7 / 5×7 = 28⁄35
4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63
3÷3 / 9÷3 = 1⁄3
3×3 / 9×3 = 9⁄27
3×7 / 9×7 = 21⁄63
5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35
2×2 / 5×2 = 4⁄10
2×4 / 5×4 = 8⁄20
2×7 / 5×7 = 14⁄35
6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70
8÷2 / 10÷2 = 4⁄5
8×3 / 10×3 = 24⁄30
8×7 / 10×7 = 56⁄70
7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60
3÷3 / 15÷3 = 1⁄5
3×2 / 15×2 = 6⁄30
3×4 / 15×4 = 12⁄60
8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56
2÷2 / 8÷2 = 1⁄4
2×3 / 8×3 = 6⁄24
2×7 / 8×7 = 14⁄56
9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42
3×2 / 7×2 = 6⁄14
3×4 / 7×4 = 12⁄28
3×6 / 7×6 = 18⁄42
10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48
6÷2 / 8÷2 = 3⁄4
6×4 / 8×4 = 24⁄32
6×6 / 8×6 = 36⁄48
Step-by-step explanation:
Answer:Equivalent Ratio
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
a=180-(45+37)
b=180-(9+24)
c=180-(42+64)
d=180-(70+13)
Jon bought a car that costs $2150. He paid $750 down and made a payment of $95 at the end of the first month. How much did he still owe?
Answer:
$1,305
Step-by-step explanation:
subtract how much he paid for the car with how much he paid down
2150-750=1400
then subtract that by the 95 dollars he paid off in the first month
1400-95=1,305
He still needs to pay off $1,305.
Hope this helps!!
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
help ? yes ? no ? maybe
IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.
Answer:
Step-by-step explanation:
im not a genius at math, but i will give it a shot
scenario 3:
let m= cost per minute for WDE, let b= flat fee for WDE
42.5=50m+b
65=100m+b
subtract the two equations
65-42.5=50m
m= .45 (this is the cost per minute on WDE wireless)
plug in m=.45 into the first equation
42.5=50(.45)+b
b= 20 (this is the fixed monthly fee for WDE wireless)
HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate
htr has the equation .25x+30
WDE has the equation .45x+30
set them equal to each other and solve for x .25x+30=.45x+20
x= 50 minutes
Scenario 4:
Same deal as last question, let m=cost/movie, b=flat fee
41.25=5m+b
57.5=10m+b
subtract the two equations and solve for m
57.5-41.25=10m-5m+b-b
m= 3.25 (slope)
b=25 (y intercept)
y=3.25x+25
y=3.25(125)+25 = 431.25
3.25x+25=2.75x+35
.5x= 10
x= 20
4. Claudia works at a sweet shop selling chocolate and caramel-dipped apples. During her shift, she
sells a total of 48 apples, Claudia sells the chocolate-dipped apples for $3 each and the caramel-
dipped apples for $3.25 each. She makes a total of $151. How many of each type of apple did she
make?
Which of the following ordered pairs
make this equation true?
y =
= 10x - 30
A. (1, -12)
B. (8, 1)
C. (4, 10)
D. (6, 20)
The ordered pairs that make this equation true is (4, 10)
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the linear equation: y = 10x - 30:
At (1, -12): y = 10(1) - 30 = -20 ≠ -12
At (8, 1): y = 10(8) - 30 = 50 ≠ 1
At (4, 10): y = 10(4) - 30 = 10
At (6, 20): y = 10(6) - 30 = 30 ≠ 20
The ordered pairs that make this equation true is (4, 10)
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Find Algebraically, the coordinates of P.
Answer:
x =2.5 and y=5.5
Step-by-step explanation:
using elimination method
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The point of intersection is (2.4, 5.5).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 4y = 5 is an equation.
We have,
Two equations.
3x - y = 2 ____(1)
x + 3y = 19 _____(2)
The point of intersection can be calculated as,
From (1) we get,
3x = 2 + y
x = (2 + y) / 3 _____(3)
From (2) we get,
x = 19 - 3y ______(4)
From (3) and (4) we get,
(2 + y)/3 = 19 - 3y
2 + y = 57 - 9y
y + 9y = 57 - 2
10y = 55
y = 55/10
y = 5.5
Now,
From (3) we get,
x = 19 - 3y
x = 19 - 3 x 5.5
x = 19 - 16.6
x = 2.4
Thus,
The point of intersection is (2.4, 5.5).
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what is -18 1/2 plus 27 3/5?
Step-by-step explanation:
so if I did it wrong
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
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Find m<1 and m<2
Help
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
pls help asap! i will mark brainliest!
Answer:
AB would be 18 or the first choice.
Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.
x + 8 = 2x - 17
+ 17 +17
x + 25 = 2x
-x -x
25 = x
This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-
Answer:
270
Step-by-step explanation:
HELP!!!!What is 1/4 turned into a decimal I REALLY NEED HELP BEFORE MY TEACHER GIVES ME A BAD GRADE
Answer:
0.25
Step-by-step explanation:
Answer:
→1/4 as a decimal is 0.25
(I hope you get this answer correct, and also hope you have a great day or night! :)).
Which statements must be true regarding the two triangles? Check all that apply.
∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).
Answer: 1, 2, & 5.
Step-by-step explanation:
1) ∠M ≅ ∠M''
2)△LMN ~ △L''M''N''
5)The coordinates of vertex N'' are (3, -1.5).
graph the following features: slope= -3/2 y intercept = 2
Using the given information the equation of the line is y = -3/2x + 2
Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:
Using X = 0:
y = -3/2(0) + 2, y = 2
First point is (0,2)
Now X = 4:
y = -3/2(4) + 2 = -6 + 2 = -4
Second point = (4,-4)
See attached image with plotted line:
can anyone help me ?
Find the missing angle measure.
Answer:
x° = 99°
Step-by-step explanation:
The polygon is a hexagon and the sum of its internal angles is:
[tex]180(n-2)=180(6-2)=180(4)=720^{0}[/tex]
subtract the 5 known angles:
[tex]x^{0} =720-145-164-59-132-121=99^{0}[/tex]
Hope this helps
PLS HELPPPP
Answer the following problem using the SOLVE Method
Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to
raise $500 by Friday. The figure below shows how much they have raised by
Wednesday. What is the minimum number of T-shirts they must still sell in
order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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What is identity matrix.
Answer:
a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.
Simplify: square root of 18x^7
O 9x^3 square root x
O 3x^3 square root 2x
O 3x square root x^3
Answer:
c
Step-by-step explanation:
square root of 18x^7
square root of 9×3x^4×x^3
9x square root of 3x^3
divided by 3 it came 3x square root of x^3
More reviewing purposes
Answer:
143
Step-by-step explanation:
BEDMAS = brackets, exponents, division, multiplication, substraction, addition.
you need to first do the exponents, then the multiplication, then the addition
exponents = 7² = 49
4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9
multiplication = 4x9 = 36
36 + 98 + 9
addition = 36 + 98 = 134 and 134 + 9 = 143
you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.
good luck. :)
help me with this please and thank you
Answer:
a. 2x +5
b. Pic attached
c. f(4) = 2•4 +5
f(4) = 8 +5
f(4) = 13
d. Domain: all the real numbers
Range: all the real numbers
For f(x) = 2x + 1 and g(x) = x2 - 7, find (f + g)(x).
Answer:
(f+g)(x)=x²+2x-6
Step-by-step explanation:
(f+g)(x)=2x+1+x²-7
collect like terms
(f+g)(x)=x²+2x+1-7
according to mathematics x² is not a like term of 2x so don't add the them
(f+g)(x)= x²+2x-6
PLEASE ANSWER THIS RIGHT ASAP
Answer:
x=9
Step-by-step explanation:
23=7/9(6x-36)+9
Distribute 7/9.
23=14/3x-28+9
Add.
23=14/3x-19
Add 19 to both sides of the equation.
42=14/3x
Divide 14/3 from both sides of the equation.
X=9
Hope this helps :)
Graph the line with slope -3 and y-Intercept -1
I need a line
Find the value of x so that the ratios 6 : x and 8 : 32 are equivalent.
Answer: The answer is 24
Step-by-step explanation:32/8 is 4. You just multiply 6 by 4.=24
Answer:
x = 24
Step-by-step explanation:
We require
[tex]\frac{6}{x}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )
x = 6 × 4 = 24
plz help for brainliest
Answer:
Yes it is an isosceles triangle
Step-by-step explanation:
We just need to see if the distance between two points is the same as the distance with two others
Distance between AB = (4 -(-1))² + (7 - 2)² = c²
5² + 5² = c²
25 + 25 = c²
c = √50
Distance between AC = (11-(-1))² + (8 - 2)² = c²
12² + 6² = c²
144 + 36 = c²
180 = c²
c = √180
Distance between CB = (11-4)² + (8 - 7)² = c²
7² + 1² = c²
49 + 1 = c²
50 = c²
c = √50
Hence, this is an isosceles triangle because AB and CB are congruent in length.
-Chetan K
We need to verify if any of two sides are equal then it is an isosceles triangle.
Refer to the attachment now
help
any tips on adding/multiplying fractions?
Answer:
sure!
Step-by-step explanation:
if you're just wondering How to, then here you are. in order to add fractions, you first must make sure your two fractions in the equation have like denominators (if youre unsure, the bottom number in a fraction), so they just need to be the same before you can add them. Take 1/2 + 2/3 for example, both 2 and 3 can go into 6, so you can make them both fractions of 6. in order to change the bottom part of the fraction, you need to change the top part too. in the case of 1/2, you will multiply the 2 by 3, so also multiply the 1 by 3. then you have 3/6. for 2/3 you will multiply the 3 by 2, so you must also multiply the 2 by 2, you will get 4/6. Now we have 3/6 + 4/6. Do not change the denominator and simply add across the top. Now you'll have 7/6, or 1 1/6. Multiplying fractions is much much simpler. The denominators don't need to be the same, so you just multiply straight across. Multiply first numerator by second numerator, and first denominator by second denominator. using the 1/2 and 2/3 example again, you have 1/2 * 2/3. so you'll first multiply 1 * 2, and make that the numerator. You have 2/-. Then the same with the denominator, 2 * 3, giving you 2/6. (Or, you can simplify to 1/3.) hope this helps, let me know if you have more questions. :)