1 1/2 x 3 = 4 1/2
1 1/2 + 1 1/2 + 1 1/2 = 4 1/2
amber receives $10.50 each week. Which equation can be used to find the number of weeks, x Amber must save her money in order for buy an ipad that cost $300?
Solve for y: y = mx + b
Hana first decides to host a tea party. She has 60 tea sandwiches and 48 scones to serve. What is the greatest amount of people she can host, such that there will be no leftovers AND each person will receive the same number of sandwiches and scones, respectively?
Answer:
12
Step-by-step explanation:
She can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
Given that She has 60 tea sandwiches and 48 scones to serve
We have to determine the Greatest Common Factor (GCF) between 60 and 48
We need to write 60 and 48 as the product of their prime factors,
⇒ 2 × 2 × 3 × 5.
⇒ 3 ×2 × 2 × 2 × 2.
Here the Greatest Common Factor (GCF) is 12.
Thus, she can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.
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A store sells 12 cans of soup for 7.50 how much will it cost for 6 cans of soup
Answer:
answer is 3.75 step-by-step explanation:
750÷2= 375 ..3.75
Three out of 8 monkeys in the zoo eat less than 12 pounds of food. What is the decimal equivalent for the number of monkeys eating less than 12 pounds of food?
Answer: The decimal equivalent for the number of monkeys eating less than 12 pounds of food = 0.375
Step-by-step explanation:
Given: Three out of 8 monkeys in the zoo eat less than 12 pounds of food.
i.e. The fraction of monkeys eat less than 12 pounds of food =[tex]\dfrac38[/tex]
Divide 3 by 8, we get [tex]\dfrac38=0.375[/tex]
Hence, the decimal equivalent for the number of monkeys eating less than 12 pounds of food = 0.375
What is the slope of a line perpendicular to the line whose equation is
10x - 12y = -24. Fully reduce your answer.
Answer:
The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe product of the slopes of the perpendicular lines is -1. which means if the slope of one of them is m, then the slope of the other is [tex]-\frac{1}{m}[/tex]∵ The equation of the given line is 10x - 12y = -24
→ We need to form this equation as the form above to find m
→ Subtract 10x from both sides
∵ 10x - 10x - 12y = -24 - 10x
∴ - 12y = -24 - 10x
→ Divide both sides by -12
∴ [tex]\frac{-12y}{-12}=\frac{-24}{-12}-\frac{10}{-12} x[/tex]
∴ y = 2 - ([tex]\frac{-5}{6}[/tex]) x
→ Remember that (-)(-) = (+)
∴ y = 2 + [tex]\frac{5}{6}[/tex] x
∵ y = m x + b
∴ m = [tex]\frac{5}{6}[/tex]
∴ The slope of the given line is [tex]\frac{5}{6}[/tex]
→ To find the slope of the perpendicular line reciprocal it and change
its sign
∵ The reciprocal of [tex]\frac{5}{6}[/tex] is [tex]\frac{6}{5}[/tex]
→ Change its sign from + to -
∴ The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
The slope of the line perpendicular to the line whose equation is
10x - 12y = -24 is - 6 / 5
The slope intercept form is represented as follows;
y = mx + b
where
m = slope
b = y-intercept
Therefore,
10x - 12y = -24
10x + 24 = 12y
12y = 10x + 24
divide through by 12
12y / 12 = 10 / 12 x + 24 / 12
y = 5 / 6 x + 2
The slope of this equation is 5/6.
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 5/6 = -1
m₁ = - 6 / 5
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Last month the local YMCA bought 2pounds of French fries for $4.56 for summer camp . The next month they purchased 12 pounds of French fries for $22.80 . What is the difference in the unit cost per pounds that the YMCA during summer camp?
Answer:
D = $0.38 per pounds
Step-by-step explanation:
It is given that,
Last month the local YMCA bought 2pounds of French fries for $4.56 for summer camp.
The next month they purchased 12 pounds of French fries for $22.80.
Unit cost per pound for last month is :
[tex]C=\dfrac{4.56}{2}=\$2.28\ \text{per pounds}[/tex]
Unit cost per pound for the next month is :
[tex]c=\dfrac{22.8}{12}=\$1.9\ \text{per pounds}[/tex]
Taking difference,
D = C - c
D = $2.28-$1.9
D = $0.38 per pounds
So, the difference that the YMCA during summer camp is $0.38 per pounds.
Which equation best matches the graph shown below?
Submit Answer
y=(+6)2 - 2
y = -(x + 6)² - 2
y = -(20 - 6)2 - 2
y = (x - 6)2 - 2
At an arcade, small prizes cost 50 tickets each. You have 350
tickets. Write and solve an inequality that represents the number
of small prizes you can purchase with your tickets and still have
more than 100 tickets left over.
a. 350 - 50x > 100
b. 350 + 50x > 100
C. 50x -350 < 100
d. 350 - 50x > 100
Write and solve a inequality
Answer:
a
Step-by-step explanation:
what is the unit rate of 10 pens for 8.99
PLZ NEED HELP ASAP whats the answer???
Answer:
28in
Step-by-step explanation:
you can use bar models to find this.
there would be 2 bars, one with 5 units and another with 1
that means you divide the total by 6 to find the value of the singular unit, which would be the shorter piece.
How many complex roots does the polynomial equation have?
-3x4 – 7x + 17 = 0
2
3
4
5
Answer:
4
Step-by-step explanation:
Sara puts $4000 into an investment yielding 5% annual simple interest; she left the money in for five years. How much interest does Sara get at the end on those 5 years?
Answer:
1000
Step-by-step explanation:
4000.
5% annual, so 5x5=25
4000 of 25%
1000
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
12
Step-by-step explanation:
50-23=27
27÷3=9
12 x .25 = 9
9 is the after price
12 is the before price
An
Step-by-step explanation:
i think its 12
select all the numbers that round to 4.3 when rounded to the nearest tenth:
4.25; 4.24; 4.31; 4.352; 4.219; 4.305
Answer:
4.25; 4.31; and 4.305
Step-by-step explanation:
Find the measure of the exterior angle (x
Answer: HONEY I NEED MORE INFO
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
A flower seed was planted 12 inches underground. It began growing 4 inches every week.
Answer:
12 + 4x
Step-by-step explanation:
It already had a starting point of 12 inches. So we add 12 to its height. Then we have 4x, x representing the number of weeks that have passed, and 4 meaning that it is growing 4 inches every week. This is why the answer is 12+4x in case you are looking for an expression
rebecca uses 3/4 gallon of paint to cover 1 wall. she has three gallons of paint. how many walls can she paint?
Answer:
4 walls
Step-by-step explanation:
First we could re-write 3 gallons with a denominator of 4 which would be 12/4 gallons. Next, we could divide like so:
12 divided by 3 = 4
Our answer is 4 walls
Hope this Helps!!! :)
She can paint 4 walls in 3 gallons of paint.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given, the Rebecca uses 3/4 gallon of paint to cover 1 wall.
And she has three gallons of paint.
Now to paint the wall;
number of wall that she can paint = number of gallon she has÷3/4
Number of wall that she can paint = 3 ÷ 3/4
Simplifying the above term to multiplication,
Number of wall that she can paint = 3 x 4/3
Number of wall that she can paint = 4
Therefore, she can paint 4 walls in 3 gallons of paint.
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36. A freight elevator can safely hold no more than 2000 pounds. What is the greatest number of 6
boxes the elevator can hold safely?
Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 4x - 10.
Answer:
(2, -6)Step-by-step explanation:
[tex]f(x)=-x^2+4x-10\\a=-1\,,\ \ b=4\\\\[/tex]
Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:
[tex]h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\h=\dfrac{-4}{2\cdot(-1)}=2\\\\k=f(2)=-2^2+4\cdot2-10=-4+8-10=-6[/tex]
Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 0.8÷0.6 is about ?
Answer:
the answer is 1.33
Step-by-step explanation:
write an equation of the direct variation that includes (3, 51)
Answer:
51/3 = 17 if you put 3 inside of 51 would see how many times 3 goes into 51 and u get to ur answer
Meg receives 10% commission on her first $5000 in sales. She receives 20% commission on any sales beyond the first $5000. Bonus: Do the amount of sales and Meg's commission form a proportional relationship? Why or why not?
Answer: There is no proportional relationship in commission and sales.
Step-by-step explanation:
to show a proportional relationship between two variables x and y , we write them as:
y= mx, where m = proportionality constant.
Let y = commission, x= sales , m= commission percent
Till x= $5000 , commission percent = 10%
Beyond x= $5000 , commission percent = 20%
i.e. m is not constant, but as x increases y also increases.
Hence, there is no proportional relationship in commission and sales.
−12÷2/3 THIS IS MATH
In the first 42 super bowls, 0.16 of the MVP's (most valuable players) were running backs. a. What percent of th MVP's were running backs? Write the percent as a mixed number.
Answer:
Percent of MVPs that were running back is 16.6%
The percent as a mixed number is 16 6/10% or 16 3/5%
5/6 of the MVPs were not running backs
Step-by-step explanation:
Here is the complete question:
In the first 42 Super Bowls, 0.16(repeating sign over 6) of the MVPs (most valuable players) were running backs. a. What percent of the MVPs were running backs? Write the percent as a mixed number. b. What fraction, in simplest form, of the MVPs were not running backs?
Step-by-step explanation:
From the question, 0.16(repeating sign over 6) of the MVPs were running backs. Since there is repeating sign over 6, then, we can say 0.166 of the MVPs were running backs.
a. To determine what percent of the MVPs were running running back, we will multiply 0.166 by 100%.
Hence, Percent of MVPs that were running back = 0.166 × 100% = 16.6%
To write the percent as a mixed number,
16.6 = 16 + 0.6 = 16 + 6/10 = 16 6/10 = 16 3/5
∴ 16.6% = 16 3/5%
Hence, the percent as a mixed number is 16 6/10% or 16 3/5%
b. To determine what fraction of the MVPs were not running backs, that will be
1 - 0.16(repeating sign over 6) = 0.83 (repeating sign over 3)
0.83(repeating sign over 3) as a fraction is 5/6
Hence, 5/6 of the MVPs were not running backs
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
I think its y=-5x+73
Step-by-step explanation:
Please help me answer these im stuck
A figure has been dilated from center O by a scale factor of r= 3/10 What scale factor would shrink the dilated figure back to the original size?
Answer:
magnify a dilated figure back to its original size from center with scale factor .Ask students to (1) describe how they would plan to dilate a circle and (2) This time the scale factor is greater than one, so we need to shrink triangle
Describe the pair of angles shown in the figure.
Answer:
D
Step-by-step explanation:
As, complementary angles are those which add up to 90°,but those add up to 100°.So not option A
And it not supplementry angles because tge angles that add a 180°,so not option B
And not vertical, because if it was vertical then both of the angles would be equal so not option C
It is D because they both are adjacent to each other, therefore it is option D
The pair of angles shown in the figure will be Adjacent angles. Then the correct option is D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Adjacent angle - When corresponding sides have a similar vertex and edge, they are referred to as Adjacent angles.
Then the pair of angles shown in the figure will be Adjacent angles.
Then the correct option is D.
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Daniel owes his sister $33. His sister said that she would give him a third off the debt. Write an expression that you could use to solve to find how much Daniel would owe his sister.
Answer:
P=33-11
Step-by-step explanation:
given that Daniel owes her $33
a third of $33
is 1/3*33
=$11
now let the amount Daniel will owe her after giving her a third of the debt be P
therefore the expression to find how much Daniel owes her will be
P=33-1/3*33
simplifying the expression we have
P=33-11
P=$22
Daniel will owe her $22