Final answer:
The student's question appears to involve a play on words or a riddle, but using standard mathematics, the fourth of twenty is calculated by dividing twenty by four, which equals five.
Explanation:
The question appears to be a puzzle rather than a straightforward mathematical problem. Given the statement that 'five times four is thirty-three' is not mathematically correct (since 5 × 4 = 20), it suggests that there's an error or play on words. The most likely solution for 'what will the fourth of twenty be?' using standard mathematics is 5, because normally one would divide twenty by four to get this result. However, if we are following the same logical pattern as in the incorrect statement 'five times four is thirty-three', we might question whether 'the fourth of twenty' should similarly be an unconventional result. Without more context, we stick with the conventional approach.
Jaime make $8.20 on hour in his part-time job. He made $53.30 last week. How many hours did he work.
He worked__hours?
Quick help work last question this is due soon!
Answer:
he worked for 6 hours and 30 min
Step-by-step explanation:
what you do is take 53.30 and divide it by 8.20
An equation is formed of two equal expressions. The number of hours Jaime worked last week is 6.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given Jaime makes $8.20 per hour in his part-time job. He made $53.30 last week. Therefore, the number of hours he worked is,
$53.30 = n × $8.20
n = 6.5 hours
Hence, the number of hours Jaime worked last week is 6.5 hours.
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What is the answer when you add. 2/100 + 4/10
Answer:
0.42 or 21/50
Step-by-step explanation:
2/100=0.02 or 1/50
4/10=0.4 or 2/5
0.4+0.02=0.42
1/50+2/5=21/50
Rita had Rs. 32000 per month. She spent 1/3 of her money on note books and 1/4 of the remainder on stationary items. How much money is left with her?
Answer:
She has Rs 16,000 left with her
Step-by-step explanation:
In this question, we are concerned with calculating how much money is left with Rita after spending the fraction of her monthly income on the things given in the question.
Firstly, she spent 1/3 of this amount on books;
Amount spent on books is thus 32,000/3 = 10,666.67
she spent a quarter of the remainder on stationary items.
Amount spent on stationary items is 1/4 * (32,000 - 10,666.67)
= 1/4 * ( 21,333.33)
= 5,333.3325
The amount of money left with her is just simply calculated by subtracting the amount she has spent from the initial amount she had
Mathematically, that would be 32,000 - (10,666.67 + 5,333.325) = approximately Rs. 16,000
Cost to store
Percent of markup: 15%
Selling price: $85.10
Final answer:
To find the original cost before a 15% markup that results in an $85.10 selling price, divide the selling price by 1.15, which gives you $74.00.
Explanation:
The question is asking how to calculate the original cost of a product, given the selling price and the percent of markup. We can use the following formula to find the original cost (also known as the cost price):
Original Cost = Selling Price / (1 + Markup Percentage)
First, convert the percent of markup from a percentage to a decimal by dividing by 100:
15% / 100 = 0.15
Then apply the formula using the given selling price of $85.10:
Original Cost = $85.10 / (1 + 0.15)
Original Cost = $85.10 / 1.15
Original Cost = $74.00
Therefore, the original cost of the item before the 15% markup was applied is $74.00.
is 15 a common factor of 54000 and 135000
Step-by-step explanation:
To get the Greates Common Factor (GCF) of 135000 and 54000 we need to factor each value first and then we choose all the copies of factors and multiply them:
135000: 2 2 2 3 3 3 5 5 5 5
54000: 2 2 2 2 3 3 3 5 5 5
GCF: 2 2 2 3 3 3 5 5 5
The Greates Common Factor (GCF) is: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 27000
PLEASE HELP!!
The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle.
4x+41=71 find the value of x
Answer: x = 7.5
Step-by-step explanation:
4x + 41 = 71
Subtract 41 from each side
4x = 30
Divide each side by 4
x = 7.5
Answer:
7.5
Step-by-step explanation:
4x+41 = 71
Subtract 41 from both sides
4x = 30
Divide both sides by 4
x = 7.5
Two boys on bicycles start from the same place and ride in opposite directions. One ndes
one. In 3 hours, they are 27 kilometers apart. What is the rate of speed for each boy
pposite directions. One ndes twice as fast as the other
Final answer:
The rate of speed for the slower boy is 3 km/h, while the rate of speed for the faster boy is 6 km/h.
Explanation:
The rate of speed for each of the two boys can be determined by using the formula:
Rate of speed = Distance / Time
Let's assume the rate of speed of the slower boy is 'x' km/h. Therefore, the rate of speed of the faster boy is '2x' km/h, as mentioned in the question.
For the slower boy: Distance = Speed * Time. Therefore, 3x = x * 3. Solving this equation, we get x = 0 which indicates that the slower boy is not moving.
For the faster boy: Distance = Speed * Time. Therefore, 3 * 2x = 6x.
According to the question, the total distance covered by both boys is 27 km in 3 hours. So, 6x + 3 * 2x = 27. Solving this equation, we get x = 3.
Therefore, the rate of speed for the slower boy is 3 km/h and the rate of speed for the faster boy is 6 km/h.
Which line segment is not a diagonal through the
interior of the cube shown?
BE
CH
CE
DG
Answer:
CE
Step-by-step explanation:
Just answered the question
Circle O is shown. Line segments O C and O B are radii. Lines are drawn from points C and B to point A to form chords. Angle C A B is 60 degrees. Which statements are true? Check all that apply. mArc C B = 120° mArc C B = 60° m∠COB = 2(m∠CAB) m∠COB = 120° m∠COB = One-half (m∠CAB)
Answer:
A, C, D, on Edge 2020
Step-by-step explanation:
The true statements about the circle are;
mArc C B = 120° m∠COB = 2(m∠CAB) m∠COB = 120° What is a line segment?A line segment is known to be a kind of line that has two endpoints. It is said to have endpoints and some other points of the line found between them.
The angle intercepted on opposite side of the circle from an ARC is one that measure of half of the Arc.
Note that ∠CBA is half of the ARC CA.
∠CAB is given as 60°
So 60*2 will give you mArc C B = 120°. The same method is applicable to m∠COB = 120°
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A
B
C
D
what is the answer!
Answer:
-20
Step-by-step explanation:
Substitute a point into the equation
y = -10x+b
-320 = -10(30) + b
-320 = -300+b
Add 300 to each side
-320+300 =-300+300+b
-20 =b
If bc = 11 cm and tan ABC= 8 over 11 what is the area of angle ABC
Answer:
The Answer is D
Step-by-step explanation:
The area of the given triangle would be 44 cm². Hence, option (d) is true.
Used the formula for the area of a triangle,
Area of triangle = 1/2 × Base × Height
Given that,
The triangle ABC is shown in the image.
Here, BC = 11 cm
Tan ∠ABC = 8/11
Used the formula for tan x,
tan x = AC/BC
8/11 = x/11
x = 8 cm
Since, Area of triangle = 1/2 × Base × Height
Base = 8 cm
Height = 11 cm
So, we get;
A = 1/2 × 8 × 11
A = 44 cm²
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Triangle PQR is similar to triangle DEF as shown.
6 cm
cm
P
6 cm
R
D
9 cm
Which describes the relationship between the corresponding sides of the two triangles?
Answer: [tex]\frac{PQ}{PR} = \frac{DE}{DF} (because \frac{4}{6} =\frac{6}{9} )[/tex]
The triangles ΔPQR and ΔDEF are similar and PQ / PR = DE / DF
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔPQR
Let the second triangle be represented as ΔDEF
The measure of side PQ = 4 cm
The measure of side PR = 6 cm
And , the measure of side DE = 6 cm
The measure of side DF = 9 cm
So , the ratio of corresponding sides of similar triangles are in the same ratio
On simplifying , we get
PQ / PR = DE / DF
4/6 = 6/9
2/3 = 2/3
Hence , the triangles are similar
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according to the dimensions given on the right rectangular prism, what is the volume, in cubit units?
Answer:
22.5
Step-by-step explanation:
9*.5*5=22.5
Buffy attends a night school, and the ages of the people in his study group are 42, 55, 36, 41, 38, 33, and 46. What is the best estimate of the population mean for ages of night school attendees? Enter your answers rounded to the nearest tenth.
Answer:
41.6
Step-by-step explanation:
¼ apple juice for every ½ cup carrot juice
i need to find the unit rate
Unit Test
Active
What is the measure of LY?
Answer:
9.46 × 1012 kilometres or about 5.88 × 1012 (nearly six trillion miles)
Step-by-step explanation:
Consider the expression?
Please help me !
Answer:
sqrt(-8x+5)
Step-by-step explanation:
(5-8x)
-----------------
sqrt(-8x+5)
We need to rationalize the denominator
(5-8x) sqrt(-8x+5)
----------------- * ---------------
sqrt(-8x-5) sqrt(-8x+5)
(5-8x) sqrt(-8x+5)
----------------- * ---------------
(-8x+5)
The first term cancels
sqrt(-8x+5)
Answer:
Second option
Step-by-step explanation:
The radical represents the square root, i.e power ½
(5 - 8x) ÷ (5 - 8x)^½
(5 - 8x)^(1-½)
(5 - 8x)^½
(-8x + 5)^½ (just a rearrangement)
What is the value of x in the solution to this system of linear equations?
x+y=4
x-y=6
Answer:
X = 5
Step-by-step explanation:
x+y=4
x-y=6
Substitute x = 4 - y
4 - y - y = 6
Substitute y for -1
x = 4 - (-1)
x = 5
I sold 32 posters for a total of 126. And I sold 48 posters for a total of 240. If the relationship between the number of posters and total earnings as linear what was the cost per print expressed as a slope
Answer:
The cost per print expressed as a slope is 7.125
Step-by-step explanation:
To calculate the cost per print, let’s envision that we have a graphical representation of cost of posters against the number of posters
We have the cost on the y-axis and the number of posters on the x axis
With the information given in the question, we shall be having two data points
Point 1 = (32,126)
point 2 = (48,240)
Now to find the slope of the line which is cost per print, we make use of both points in the slope equation.
Mathematically, slope m will be
m = y2-y1/x2-x1
Thus, we have;
m = (240-126)/(48-32)
m = 114/16
m = 7.125
The cost per print expressed as a slope is 7.125
Over the course of the semester, Donnie's eight test scores averaged a 76. He looked through his notebook, but he could only find seven of the tests. The test scores he has in his notebook are 71, 92, 87, 75, 64, 70, 83. What score did Donnie make on the test that is missing from his notebook?
A) 62
B) 66
C) 72
D) 77
E) 82
Donnie's average test score is 76 for all eight tests. The sum of his seven known test scores is 542. To find the missing score, subtracting this sum from the sum of all eight scores gives a missing test score of 66.
The correct answer is option B.
To find Donnie's score on the missing eighth test, we can use the fact that the average of all eight test scores is 76.
The sum of the eight test scores is 8 * 76 = 608 (since the average is calculated by summing all the scores and dividing by the number of scores).
Now, we know the sum of the seven test scores in his notebook:
71 + 92 + 87 + 75 + 64 + 70 + 83 = 542
To find the missing score, subtract the sum of the known scores from the sum of all eight scores:
608 - 542 = 66
So, Donnie's score on the missing eighth test is 66.
The correct answer is: B) 66
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PLZ HELP QUICK WILL GIVE BRAINLIEST
Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube.
If the side length of the clear cube is 6 inches, and the diagonal of a face of the cube is 6
inches, what is the length of the needle
Answer: the length of the needle is 8.49 inches.
Step-by-step explanation:
The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.
BC represents the diagonal of a face of the cube.
AB represents the the side length of the clear cube.
AB = h represents the length of the needle
To determine AB, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
AB² = 6² + 6² = 72
AB = √72
AB = 8.49
A dozen oranges $2.00. How many oranges can be bought for $10.00?
ANSWER IS 60
EXPLAIN- 10/2= 5
5 TIMES 12= 60
The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Answer:
224 pages total
Step-by-step explanation:
To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.
which number line model represents the expression -1/2 + 5/4 i will give brainlest
Answer:B
Step-by-step explanation:
The expression -1/2 + 5/4 represents a point on an numerate line approximately three-quarters of the way between 0 and 1, to the right of zero.
Explanation:To represent the expression -1/2 + 5/4 on a numeral line, it is important first to understand the properties of fractions and their positioning on a numeral line. The fraction -1/2 is situated to the left side of the zero point. The fraction 5/4 is situated slightly beyond the whole number 1, given that it is greater than 1.
To visualize the sum, one can evaluate the fraction numerically, or equivalently, approximately 0.75 when converted to decimals. Since 0.75 is a positive value, it will be on the right side of 0 on the number line, but still within the range of the first whole number (1).
In conclusion, the expression -1/2 + 5/4 represents a point on a number line that is three-quarters of the way between 0 and 1, to the right of the 0, indicating a positive fraction when visualized on a number line.
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Pythagorean theorem
Answer:
well.....also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2+b^2=c^2
A=side of right triangle
B=side of right triangle
C=Hypotenuse
if i could get brainliest that would be great
Answer:
The sum of the squares of the legs is equal to the Hypotenuse Square.
Step-by-step explanation:
Its very helpful to use the guide A^2 + B^2 = C^2 when doing a problem.
For example - ---------------> A^2 +B^2= C^2
2^2 +3^2 = C^2
4 + 9 =C^2
13 = C^2
[tex]\sqrt{13} = C[/tex]
Hope this helps!!
I need help to find the surface area to the nearest hundreds
Answer:
The volume of the pentagonal prism is 1446.25
Step-by-step explanation:
First of all we need to calculate the area of the pentagon
A = area
a = apothem = 8.9
p = perimeter = 13 * 5 = 65
A = (a*p) / 2
A = (8.9 * 65) / 2
A = 578.5 / 2
A = 289.25
To calculate the volume of a pentagonal prism we have to use the following formula:
a = area = 289.25
v = volume
h = height = 5
v = a * h
we replace the values that we know
v = 289.25 * 5
v = 1446.25
The volume of the pentagonal prism is 1446.25
Please help, mathematics—probabilities.
Answer:
I would expect it to change, because experimental probability is based on the experiment unlike theoretical probability which is based in equations.
Step-by-step explanation:
4d+ 8 in distributive property expression
Answer:
Step-by-step explanation:
Greatest common factor of 4d and 8 is 4
4d + 8 = 4d + 4*2
=4(d + 2)
Emma begins to solve the equation -4.5x + 3 = 2 - 8.5x by adding 8.5x to each side of the equation. Which next step would result in the variable terms and constant terms being on different sides of the equals sign?
A.Subtract 2 from both sides.
B.Subtract 4x from both sides.
C.Add 4x to both sides.
D.Subtract 3 from both sides.
Answer:
D.) subtract 3 from both sides
Step-by-step explanation:
-4.5x + 3 = 2 - 8.5x
8.5x - 4.5 x + 3 = 2
4x +3 = 2
next you would subtract 3 from each side
4x + 3 - 3 = 2 - 3
4x = -1
4x / 4 = -1 / 4
x = -0.25