A construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?
Answer:
32 hours
Step-by-step explanation:
Given
[tex]Rate= \frac{3}{4}\ tons\ per\ hour[/tex]
Required
Determine time taken for 24 tons
As used in this question, Rate is the ratio of tons of dirt to time.
i.e.
[tex]Rate = \frac{Tons\ of\ Dirt}{Time}[/tex]
Let t represents time when tons of dirt is 24 tons:
[tex]Rate = \frac{24}{t}[/tex]
Recall that: [tex]Rate= \frac{3}{4}\ tons\ per\ hour[/tex]
So, we have
[tex]\frac{24}{t} = \frac{3}{4}[/tex]
Cross Multiply
[tex]3 * t = 24 * 4[/tex]
Divide both sides by 3
[tex]t = 8 * 4[/tex]
[tex]t = 32[/tex]
Hence, time taken is 32 hours
PLEASE HELP! MY BIG SISTER DOES NOT WANT TO HELP ME! AND MY MOM AND DAD IS AT WORK! :( I miss them please help me this
Answer:
The answer is the one in middle
Step-by-step explanation:
The answer should be 5/36 , not 25/6
Five friends want to share 1,000
comic books equally. Can you use mental math to find how many
comic books each friend will get?
Answer:
each friend gets 200 books
Step-by-step explanation:
1,000÷5=200
what is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph
Answer and Step-by-step explanation:
There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into quadrants.
A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.
To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).
The completeness property for points describes:
Exactly one point in the plane given the number of ordered pair
And
Exactly one ordered pair of numbers at a given point in the plane.
A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.
The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.
When Carla looked out at the school parking lot, she noticed that for every 2 vans, there were 5 trucks. If there
were 84 total vehicles in the parking lot, how many of them were trucks?
Answer:
60 trucks
Step-by-step explanation:
2x12=24
5x12=60
60+24=84 total vehicles
60 of them are trucks.
Select the correct answer.
A sphere has a diameter of 24 units. What is its volume in cubic units?
A. 576 cubic units
B. 1,728 cubic units
C. 2,304 cubic units
D 6,912 cubic units
Answer:
c
Step-by-step explanation:
Answer: C.2304
Step-by-step explanation:
volume for a sphere formula: V=4/3πr^3
[tex]V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\[/tex]
Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores?
n
s
Red Background
Blue Background
What are the null and alternative hypotheses?
A.
:
:
B.
:
:
C.
:
:
D.
:
:
Identify the test statistic.
F
nothing (Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is
nothing. (Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
A.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
B.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
C.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
D.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
Does the background color appear to have an effect on the variation of word recall scores?
A.
, the variation of word recall scores appears to be when the color is changed.
B.
, the variation of word recall scores appears to be when the color is changed.
C.
, the variation of word recall scores appears to be when the color is changed.
D.
, the variation of word recall scores appears to be when the color is changed.
Decide what can be used to determine the equation of a line when you have two points, but no slope.
a.
slope-intercept form
c.
point-slope form
b.
general form
d.
slope formula, then use one of the given points to find the equation
Answer:
Slope formula!
Step-by-step explanation:
You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!
I really hope this helped!! Have a good day :)
need help and proper explanation
I will mark Brainliest and 15points.
Step-by-step explanation:
Q1.
1. 3×1+2=5
=5/3
2. 3×5+3=18
=18/5
3. 8×4+3=35
=35/4
4. 12×3+2=38
=38/3
5. 10×7+2=72
=72/7
Q2.
1. 1/7 = 7/1 = 7
2. 8/3 = 3/8
3. 9 = 1/9
4. 4 1/3 = 4×3+1 = 13 = 13/3 = 3/13
5.14 2/3 = 14×3+2 = 44 = 44/3 = 3/44
Hope this helps you
Answer:
For A)
when you go from mixed number to improper fraction all you have to do is multiply the denominator (bottom number) with the whole number (the big number on the left) then finally add the numerator (on the top). After you get the answer just write the answer divided the denominator (answer/denominator) to write as improper fraction. Examples is shown below.
For B) all you have to do is switch the fraction. If it a whole number then just assume that it is divided by 1, and for mixed fraction just solve it like A then switch the fraction. Examples shown below.
Step-by-step explanation:
For A)
1. 1 (2/3) -> multiply 3 with 1 then add the 2. So, (3 x 1) +2 = 5 then write as improper fraction which is 5/3
2. 3 (3/5) -> (5 x 3) + 3 = 18 -> 18/3
and so on...
For B)
1. 3/7 -> 7/3
3. 9 which is 9/1 -> 1/9
5. 14 (1/3) -> (3 x 14) + 1 = 43 -> 43/3 -> 3/34
Abu donated 10% of his savings to build a mosque and gave 30% of the rest of his savings to his son. What percentage of his savings has he remaining ?
(A) 27%
(B) 37%
(C) 60%.
(D) 63%
Halla una razón equivalente para formar una proporción 17
----
19
Answer:
85:95 I did the math
expand form 16(2x - 1)
Answer:
32x - 16
Step-by-step explanation:
16(2x - 1)
16 • 2x - 16
32x - 16
Answer:
32x - 16
Step-by-step explanation:
distrubutive property: 16 times 2x plus 16 times -1
What is the slope of the line?answer
Answer:
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
Answer:
The slope of the line is -2.
Step-by-step explanation:
Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.
But, if it was in fraction form the slope would be -2/3.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units?
square 8 units
4 units
square 32 units
8 units
9514 1404 393
Answer:
√32
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the legs.
h² = 4² +4²
h² = 16 +16 = 32
h = √32
The length of the hypotenuse is square root of 32 units.
Help please I am begging
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
find the greatest common factor of 36 and 60
Answer:
6 and 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36} . Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60} . Common factors are }1,2,3,4,6,12} . Hence Greatest Common Factor is 12 .
the length or a rectangle is 11 centimeters less than 4 times it width its area is 20 square centimeters find the dimension of the rectangle use formula aera = length*width the width is cm
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°. Find the length of k, to the nearest 10th of an inch
Answer:
10.5
Step-by-step explanation:
sin29
k
=
sin124
18
Plug in. Opposite sides go together.
k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5
k=
sin124
18sin29
≈10.526≈10.5
The required length of k is 10.5 inches for the given triangle.
What is the sine rule?The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.
a/sinA = b/sinB = c/sinC
The triangle is given in the question, as follows:
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°.
We have to determine the length of k.
As per the sine rule, the required solution would be as:
m/sin∠M = k/sin∠K
Substitute the known values and we get
18/sin 124° = k/sin 29°
k = (18/sin 124°) × sin 29°
k ≈ 10.5
Thus, the length of k is 10.5 inches.
Learn more about the sine rule here:
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How many different surgery scrub outfits would you have if you have 5
scrub tops and 2 pairs of scrub pants?
Answer:
2
Step-by-step explanation:
cuz u would have extra hats so just wear the pants again
if 1=15 and 6=20 what is 3
Answer:
if 1=15 and 6=20 what is 3
=
25The third term of the sequence is 17
The given can be interpreted as thus:
Given the following parameters
First-term = 15
Sixth term = 20
Assuming the sequence is an arithmetic sequence, the nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
a = 15
T6 = a+ 5d
20 = 15 + 5d
20-15 = 5d
5 = 5d
d = 5/5
d = 1
Get the third term:
T3 = a+ 2d
T3 = 15 + 2(1)
T3 = 17
Hence the third term of the sequence is 17
Learn more here: https://brainly.com/question/23638414
The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
In the morning, a group of hikers hiked 3 3/4 miles, took a break, and then hiked another 2 3/4 miles. The group then stopped for lunch. In the afternoon, the group then hiked 4 3/4 miles, took another break, and then hiked 2 1/2 miles. Which of the following statements are true?
What are the following statements?
The hikers in total travelled for [tex]13\frac{3}{4}[/tex].
What is addition?
Addition in maths, a process of combining two or more numbers.
Given that, in the morning, a group of hikers hiked 3 3/4 miles, took a break, and then hiked another 2 3/4 miles. The group then stopped for lunch. In the afternoon, the group then hiked 4 3/4 miles, took another break, and then hiked 2 1/2 miles
[tex]3\frac{3}{4} +2\frac{3}{4} +4\frac{3}{4} + 2\frac{1}{2}[/tex]
15/4+11/4+19/4+5/2 = 55/4
= [tex]13\frac{3}{4}[/tex].
Hence, The hikers in total travelled for [tex]13\frac{3}{4}[/tex].
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Factor completely a^2− 7a + 10
Answer:
(a - 2) • (a - 5)
Step-by-step explanation:
a^2 - 2a - 5a +10
a • a(a - 2) - 5a + 10
(a - 2) • (a - 5)
A mole was burrowing in a field. First, the mole went 6 meters in one direction,
then 8 meters in another direction, and then 4 meters in another direction. How far
did the mole burrow?
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
what is the value of 2.57 1.75
Answer:
2.57 - 1.75 = 0.82
Step-by-step explanation:
Let us assume that we need to find the value of 2.57 - 1.75 i.e. we need to subtract 1.75 from 2.57. It can be done as follows :
The first number is 2.57 and other no is 1.75.
In 2.57, 2 is in ones place, 5 is in tenths place and 7 is in hundredths place.
In 1.75, 1 is in ones place, 7 is in tenths place and 5 is in hundredths place.
Subraction :
2.57
- 1.75
= 0.82
Hence, the value of 2.57 - 1.75 is 0.82
Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?
Answer: $1,992
Step-by-step explanation: :)
Express Four-fifths as a percent.
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
write the slope intercept form of the equation of each line given the slope and y-intercept