Answer:
Answer is C $0.75
Step-by-step explanation:
50b = 37.50
divide both sides by 50
50 cancels out b is by itself.
37.50 divide by 50= 0.75
The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.
What does division mean?Division is a mathematical operation that involves the grouping of a number into equal parts using another number. The sign used to denote division is ÷.
The equation that represents the total amount raised: total balloons sold x cost of one balloon
b x 50 = 37.50
b = 37.50/ 5-
b = $0.75
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According to the scatter plot shown, what approximate income should a 24-year old have?
Income
45,000
40.000
35,000
30,000
25.000
20,000
15,000
10,000
5,000
O
16 18 20 22 24 26 28 30 32
Age
$35,000
$25,000
$20,000
$30,000
Answer:
25,000
Step-by-step explanation:
Find the area of the trapezoid with bases 12 cm and 4 cm and height 1/6
cm.
Let g(x)=4x +9 and h(x)=x+2. Find the expression.
(h◦g)(x)
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
Which of the following is a non-rigid transformation?
Answer:
c
Step-by-step explanation:
Answer:
B: Dilation
Step-by-step explanation:
Translations, rotations, and reflections are all rigid transformations because the image isn't altered. This makes a dilation a non-rigid transformation because the image is getting larger or smaller.
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?
Find the area of the figure to the nearest hundredth.
Step-by-step explanation:
We have 2 Semicircular. area of each one :
[tex]\pi \: \times \: r[/tex]
r = 2.5ft and pi=~3 ==> 7.5×2=15ft (area of two Semicircular)
the area of triangle = 5 + 5 + 6 = 16ft
area of the figure = 16 + 15 = 31ft
Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height
Answer:
so lets get the cones volume first the formula for a cone is V=πr2/3
so V=πr2h
3=π·22·3
3≈12.56637
and then the height of the cylinder is 4
Step-by-step explanation:
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
HELP!!! Name the space figure you can form from the net.
help help please i did not understand
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
Eight beads are strung in a necklace with a clasp, how many ways
can the beads be arranged?
Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
use a long method division to calculate 145 413 by 321
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
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The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle
Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
What is 6% of 7500 + 5% of 7500
Answer: It should be 825
Step-by-step explanation:
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.
Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.
Answer:
15,000
Step-by-step explanation:
1/3 times 45,000 = 15,00
The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A factory produces blue pens and black pens.
2/3 of the pens produced at the factory are black.
If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.
Number of blue pens = T - 2/3 T = 1/3 T
Given that,
Total pens produced = 45,000
Equation to find the number of blue pens is,
x = 1/3 × 45,000
Solving,
x = 15,000
Hence the number of blue pens produced is 15,000.
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What is an Expression?
Answer:
Hello, an expression are numbers, symbols, and operators grouped to show the value of something. For example, 4+5 and 45/5-2 are expressions.
Step-by-step explanation:
I hope this helped you!
Find the measure of 26.
4 6 = [?]
249
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
It takes Andre 4 minutes to swim five laps, if Andre swims 22 laps, at the same rate as she swam 5 laps, how long does it take him?
Answer:
17.6
Step-by-step explanation:
But im not sure if u can use decimals
Which choices are correct when determining the distance between -240 and -35 on a number line?
Answer:
A
Step-by-step explanation:
240-35)=205
240-35
205
Answer:
Step-by-step explanation the first one
Help me please! I will mark brainliest for whoever gets it right the fastest.
Answer:
300
Step-by-step explanation:
surface area of prism = p (perimeter)*height + 2* base area
sa = (12+13+5) * 8 + 2* (12*5/2)
= 30*8 + 2*30
= 240+60
= 300
Calculate the volume of a cuboid with length 5.6m breadth 4.1m, height 3.4m
Answer: 78.064 cubic meter
Step-by-step explanation:
volume of a cuboid=length × breadth × height.
=5.6*4.1*3.4
=78.064 cubic meter
Which equation shows how to find the
angle measure of the part of the circle
without the arrow?
[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane
Answer:
Follow Sammy Revv on Spotify and you'll get a 100% on your test
Step-by-step explanation: