The amount he gets for lunch is an illustration of mean and averages.
He gets for lunch is $240 daily
Represent the amount he gets for lunch each day be x.
So, the amount saved each day is x/2
From Monday to Friday, the total savings would be 5x/2
So, we have:
[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]
Multiply both sides by 2
[tex]\mathbf{5x = \$1200}[/tex]
Divide both sides by 5
[tex]\mathbf{x = \$240}[/tex]
Hence, the amount he gets for lunch is $240 daily
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If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
A ∩ B = { t,a }
This is because it is asked to find the common elements present in both sets.
We need to write only the same elements present in both sets.
Therefore, A ∩ B = { t,a } is the answer.
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Answered by Benjemin ✍️
Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices
The package of 4 is a better buy.
The package of 2 is a better buy.
They are the same.
On Monday, Anya read 11 pages of a book in 1 2 hour. On Tuesday, she read 18 pages in 3 4 hour. Did Anya's reading speed increase by more than 10% from Monday to Tuesday? Complete the justification for your answer.
Answer:
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.
Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.
I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.
If you need more help, let me know!
Step-by-step explanation:
Ellie hikes 1/2 of a mile every 10 minutes. How far does she hike in 1 hour?
Answer choices:
3
5
4
6
Answer:
3miles
Step-by-step explanation:
10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles
Answer:
Step-by-step explanation:
There are various ways in which we can solve this problem.
If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.
Alternatively: "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach. Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."
Peter is 75.25 inches tall, but Steve is 1.75 inches taller. How tall is Steve? ?
Answer:
77 in.
Step-by-step explanation:
Peter: 75.25 in.
Steve: 75.25 in. + 1.75 in. = 77 in.
Trigonometry:
Find the value of θ
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then
θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )
What is the scale factor from 125% to 100%?
Answer: 4:5
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.
Answer:
Independent variable = m
dependent variable = c
Step-by-step explanation:
c = 25 + 0.6m
where,
m = number of miles
c = total cost of rent
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
What is the measure of the angle?
9514 1404 393
Answer:
d. 32°
Step-by-step explanation:
Vertical angles are congruent, so ...
5x +2 = x +26
4x = 24
x = 6
(x +26)° = (6+26)° = 32°
The measure of the angle is 32°.
_____
Additional comment
Vertical angles share a vertex. This means B and E are two names for the same point.
5 tons of fertilizer cost $6,600.00. What is the price per pound?
Answer:
66 Cents per pound
Step-by-step explanation:
1 ton = 2,000 pounds
5 tons = 10,000 pounds
10,000 pounds = $6,600
1 Pound = $0.66
What is the volume?????
help I will give brainiest is you answer with a explanation
Answer:
35°
Step-by-step explanation:
As we know vertically opposite angles are equal . So ,
x + 90= 125
x = 125-90 = 35°
Answer:
35
Step-by-step explanation:
125 + 90(APC) + DPA + EPB + x = 360
215 + DPA + EPB + x = 360
DPA = 180 - 125 = 55
EPB = DPA
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
OR easy way
DB is a straight line so angels on it add up to 180
EPB = 180 - 125
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
find the common denominator
7/8
3/10
7/10
2/3
Answer:
240
Step-by-step explanation:
To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough can mrs peele make
Answer:
4.5 lbs
Step-by-step explanation:
just divide 11.25 by 2.5
Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?
Answer:
Tom is 43yo and Tim is 36
Tim will be 41 in 5 years.
Step-by-step explanation:
Factorizing by grouping
xy + 2x + 3y + 6
Answer:
(x+3)(y+2)
Step-by-step explanation:
(xy+2x)+(3y+6)
x(y+2)+3(y+2)
(x+3)(y+2)
Make x the subject of the formula
dx - t = 8
Answer:
x = (8+t)/d
Step-by-step explanation:
Since you want to make x the subject of the formula, you would want it along. so you should move the t to the other side, which will get you dx = 8+t, then you will have to divide both sides by d to get the x along, and in this case, you will get x = (8+t)/d
The given formula can be written as x = (8 + t)/d.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The given formula is as below,
dx - t = 8
Since, it is a linear equation with variable x. It can be rewritten as follows,
dx - t = 8
=> dx = 8 + t
=> x = (8 + t)/d
Hence, by making x as the subject the given formula becomes as x = (8 + t)/d.
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What is a unit rate?
What are the steps for
finding a unit rate?
Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?
Answer all please
Answer:
1. Cost of a quantity of 1.
2. Divide the cost by quantity.
3. $0.18 per ounce
work: 2.15 / 12 = 0.1791666666666 and round
Brenna found 10% of 60. Her work is shown below.
10% of 60 = (60 = 2) = 30
O No. Brenna should have divided by 4 to find 10%.
No. She should have divided by 10 to find 10%.
O No. She should have multiplied by 10 to find 10%.
O Yes. Brenna did not make an error.
Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.
Step-by-step explanation:
evaluate 16/5 + -7/8
Answer:
93/40 or 2.325
Step-by-step explanation:
16/5 + (-7/8) =
16/5 - 7/8 =
(128 - 35)/40 =
93/40 or 2.325
I will give brainliest
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?
Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
Kathleen jarred 24 liters of jam after 4 days. How many days does Kathleen need to spend making jam if she wants to jar 36 liters of jam in all? Solve using unit rates.
Answer:
36 to 6
Step-by-step explanation:
24/4 is 6
6 litters a day.
36/6 is 6
6 days for 36 litters.
the answer is 36 litters to 6 day.
-9+(-14)=??
please help!
Answer:
-23
Step-by-step explanation:
Please help
A
B
C
D
E
F
Answer: B. SAS or/and E. HL
Step-by-step explanation:
The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.
193 / 240
what will be the percentage for this
Answer:
84%
Step-by-step explanation:
To find a percentage, just divide the first number by the second.
[tex]\frac{193}{240}=0.80417[/tex]
So 193 is about 80% of 240.
If you were to do it in the other order:
[tex]\frac{240}{193} =1.24352[/tex]
240 is 124% of 193.
m-(-584)=866 simplified
Answer:
282 thats what i got
Step-by-step explanation:
Answer:
m = 282
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
m + 584 = 866
Step 2: Subtract 584 from both sides.
m + 584 (−584) = 866 (−584)
m = 282
Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
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