Question:
The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?
Answer:
7 trips
Step-by-step explanation:
Given
[tex]Capacity = 10yd^3[/tex]
[tex]Dirts = 200m^3[/tex]
[tex]Trucks = 4[/tex]
Required
Determine the number of trips of each truck
Divide the volume of dirts by 4 to get the portion of each truck
[tex]Each\ Truck = \frac{200m^3}{4}[/tex]
[tex]Each\ Truck = 50m^3[/tex]
Divide the portion of each truck by capacity of each truck to get the number of trip
[tex]Trip = \frac{50m^3}{10yd^3}[/tex]
Convert m^3 to yd^3
[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975}{10}[/tex]
[tex]Trip = 6.53975[/tex]
Approximate:
[tex]Trip = 7[/tex]
Is 3 cups to 2 cups proportional
Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mind that each score can be no more than 10 points.
Answer:
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
Step-by-step explanation:
The question says you get 7 points per quiz out of 3 quizzes.
7+7+7 = 21
Now that we know that we need a total score of 21, we therefore need to distribute it among the three quizzes.
Remember;
None of these scores are to be higher than 10. We need to add up scores below 10.
4,9,8 = 4+9+8 = 21
9,9,3 = 9+9+3 = 21
6,7,8 = 6+7+8 = 21
8,8,5 = 8+8+5 = 21
5,7,9 = 5+7+9 = 21
All of these gives 7 as average.
Solve for the variable : 5y+6=3(y+4)
Answer:
y = 5
Step-by-step explanation:
Answer:
Y=3
Step-by-step explanation:
You would want to multiply y and 4 by 3.
5y+6=3(y+4)
×3 ×3
5y+6=3y+12
Now you want to have y by itself. You can first subtract 6 for starters.
5y+6=3y+12
-6 -6
5y=3y+6
5y=3y+6
-3y -3y
2y=6
Now you would want to divide.
2y=6
÷2 ÷2
y=3
You're answer would be y=3.
When three numbers are added two at a time, the sums are 29, 46, 53. What is the sum of all three numbers?
Answer:
[tex]Sum = 64[/tex]
Step-by-step explanation:
Let the three numbers be a, b and c; such that:
[tex]a + b = 29[/tex] ---- (1)
[tex]b + c = 46[/tex] --- (2)
[tex]a + c = 53[/tex] --- (3)
Subtract equation 2 from 3
[tex]a - b + c - c = 53 - 46[/tex]
[tex]a - b = 7[/tex] --- (4)
Add this equation to the (1)
[tex]a + a + b - b = 29 + 7[/tex]
[tex]2a= 36[/tex]
Solve for a
[tex]a = 36/2[/tex]
[tex]a = 18[/tex]
Substitute 18 for a in (1)
[tex]a + b = 29[/tex]
[tex]18 + b = 29[/tex]
Solve for b
[tex]b = 29 - 18[/tex]
[tex]b = 11[/tex]
Substitute 11 for b in (2)
[tex]b + c = 46[/tex]
[tex]11 + c = 46[/tex]
Solve for c
[tex]c = 46 - 11[/tex]
[tex]c = 35[/tex]
[tex]Sum = a + b +c[/tex]
[tex]Sum = 18 + 11 + 35[/tex]
[tex]Sum = 64[/tex]
I need help with question 11 pleaseeeeeee
Answer:
828 cubic units
Step-by-step explanation:
Solve the compound inequality, then correctly fill in the blanks below.
-3 2-5 <2
I
Answer:
hold my picolr
Step-by-step explanation:
A satellite 200 miles above the earth is orbiting the earth once every 6 hours. How far does the satellite travel in 1 hour?
(Assume the radius of the earth is 4,000 miles.) Give your answer as both an exact value and an approximation to three significant digits
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of total distance travelled to total time taken to cover distance.
The radius of the orbit = radius of earth + height of satellite from earth = 4000 miles + 200 miles = 4200 miles
The total distance around the orbit = perimeter of orbit = 2π(radius of orbit) = 2π(4200) = 8400π miles
[tex]Speed=\frac{distance \ traveled}{time\ taken} =\frac{8400\pi\ miles}{6\ hours} =1400\pi\ miles/hour\\\\Distance \ traveled\ in \ 1\ hour=1400\pi\ miles/hour*1\ hour=1400\pi\ miles=4398.23\ miles\\\\Distance=4398\ miles[/tex]
Create an equation with at least two grouping symbols for which
there is no solution
Find the x-coordinates of all local maxima using the second derivative test. f(x)=x3+4x2+10 If there are multiple values, give them separated by commas. If there are no local maxima, enter ∅.
Answer:
f(x) = x³ +4x²+10
f'(x) = 3x²+8x
the critical point is that x value that has zero to be the first derivative function
3x²+8x = 0
when we factorize
x(3x+8) = 0
x = 0
3x+8 = 0
3x = -8
x = -8/3
at critical point when f"(x)>0, that is our minima
when f"<0 that is the maxima
f'(x) = 3x²+8x
f''(x) = 6x + 8
f"(0) = 8>0
the point x = 0 is minima point
f"(x) = -8/3 = -8<0 is Maxima
x coordinate of maxima = -8/3
Sophia's building a skateboard ramp how many 2/5 ft long pieces can she cut from a 4 ft piece of wood what is the division expression
A. 1/4 divided by 2/5
B. 2/5 / 1/4
C. 2/5 / 4
D. 4 / 2/5
Answer:
D. 4/(2/5)
Step-by-step explanation:
For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.
For this one, divide 4 (large) by 2/5 (small).
If simplification is needed you can make 10 pieces.
5/8 divided by 1/4 I would like to see how smart you all are?
Answer:
2.5
Step-by-step explanation:
good luck :)
Use the approach in Gauss's problem to find the sums of the arithmetic sequences below
(do not use formulas).
>
c. 3+ 6 + 9 + ... + 300
Answer:
15150 is the required sum.
Step-by-step explanation:
Gauss method of summing sequences like this is to add the first term to the last term, the second term to the second to the last term and so on until you get to the middle. By doing this, you will always get the same sum. Then you divide the number of terms by two, because you are technically adding the first half of the sequence to the second half. You then multiply the sum of each pair that gave the same number with the number of terms that has been divided by 2. For this problem we have:
3 + 300 = 303
6 + 297 = 303
9 + 294 = 303
and so on.
100÷ 2 = 50.
Therefore we have 50 * 303 = 15150 is the required sum.
A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)
Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
A banquet hall is divided into two sections that both have tables with chairs arranged around them. In the smaller section, there are 9 tables with 6 chairs each. In the larger section, there are currently 4 tables with 8 chairs each. More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall. Which equation could be used to determine how many more tables, t, each with 8 chairs, are needed in the larger section?
Answer:
The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40
Step-by-step explanation:
From the question,
In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.
This means there are 9 × 6 chairs there
9 × 6 = 54
Hence, there are 54 chairs in the smaller section of the banquet hall.
Also, from the question,
In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.
This means there are 4 × 8 chairs there presently
4 × 8 = 32
Hence, there are currently 32 chairs in the larger section of banquet hall.
From the question,
More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.
If t more tables are to be added,
This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.
The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section
Therefore,
126 = 54 + 32 + 8t
126 = 86 + 8t
Then,
8t + 86 = 126
8t = 126 - 86
8t = 40
This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.
Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40.
If desired,
8t = 40
t = 40/8
t = 5
Hence, 5 more tables are needed in the larger section.
How many gallons of paint should be purchased to paint 10 motel rooms as shown in the illustration?
(Do not paint the floor.) It takes 1 gal to paint 240 square feet (ft 2).
10 ft
8 ft
20 ft
PLEASE HELP ME!!!!!!!!!!!!!!
Barbara was baking a cake and could not find her tablespoon measure. The recipe calls for 3 1/3 tablespoons. How many teaspoons must Barbar use in order to have the recipe turn out all right?
a
6
b
3
c
9
d
10
Answer:
D
Step-by-step explanation:
one tablespoon is three teaspoons
do the multiplication and boom
Answer:
D. 10
Step-by-step explanation:
1 tablespoon = 3 teaspoons
Convert 9% to a decimal.
Answer:
0.09
Step-by-step explanation:
:)
Answer: .09
9% converted to a decimal is .09
Plz mark brainliest:)
3. Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many vote orders would we need to consider in order to calculate the Shapley-Shubik index for each state?
A) 2^35
B) 2^35–1
C) 35!
D) 35! –1
Answer:
The answer to this would be 2^35-1
Step-by-step explanation:
HELP ME ASP PLZ
Which model represents the product Three-fourths times one-third ?
1. A model with 12 squares. 2 squares are light purple, 1 square is dark purple, and 3 squares are grey.
2. A model with 12 squares. 3 squares are light purple, 6 squares are dark purple, and 2 squares are grey.
3. A model with 8 squares. 3 squares are light purple, 3 squares are dark purple, and 1 square is grey.
4. A model with 12 squares. 6 squares are light purple, 3 squares are dark purple, and 1 square is grey.
Answer:
b
Step-by-step explanation:
Determine if the sequence 2, 8, 17, 29, ... is arithmetic. If it is, determine the first term a and the common difference d.Is the sequence 2, 8, 17, 29, ... arithmetic?
Answer:
Yes
Step-by-step explanation:
Starting with 2, the step to the next number is 6. Each step increases by 3.
When you are on 8, the next step is an increase of 9. The next step is an increase of 12, The next step not shown would increase by 15 for give you 44.
So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.
The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is -1.
The equation Y2 = 3(n+1) + Y1 where n=0
The Complex Conjugate of 2 + 5i is equal to: _______+_________i
Answer:
2 - 5i
Step-by-step explanation:
For any complex number like say "z" written in rectangular form as;
z = a + ib, then from definitions the complex conjugate is given by the relation:
z* = a − ib
Now, from our question, we want to find the complex conjugate of 2 + 5i.
From the relationship above, it's clear that the complex conjugate here is;
2 - 5i
Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G
Answer:
5x-y +42=0
Step-by-step explanation:
Using m=Y2- Y1
X2- X1
the slope of the line is found .
Put your answer in Y - Y1 = m( X - X1)
to get the equation
A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates are unit rates equivalent to the ratios shown above? Select all that apply.
Answer:
Option 2: 1 teaspoon of baking soda per 1 cup of flour
Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda
Step-by-step explanation:
The recipe has 3 ingredients mixed in the following ratio =>
½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt
Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:
Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
2 salt : x baking soda
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.
Option 2 => 1 teaspoon of baking soda : 1 cup of floor.
½ baking soda : ½ flour
1 baking soda : x flour
Thus, ½ / ½ = ¹/x
Cross multiply
½*x = ½*1
x/2 = ½
Multiply both sides by 2
x = ½*2
x = 1
Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.
Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
½ salt : x baking soda
Thus, ¼ / ½ = ½/x
Cross multiply
¼*x = ½*½
x/4 = ¼
Multiply both sides by 4
x = ¼*4
x = 1
Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.
Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.
½ baking soda : ¼ salt
1 baking soda : x salt
Thus, ½ / ¼ = 1/x
Cross multiply
½*x = ¼*1
x/2 = ¼
Multiply both sides by2
x = ¼*2
x = ½
Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.
Option 5 => 2 teaspoon of salt : 1 cup of flour
¼ salt : ½ flour
2 salt : x flour
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.
The correct options are option 2 and option 3.
look at picture
look at picture
Answer:
point ??????? I think not sure
-18+-6 please help
Answer:
-24
Step-by-step explanation:
If you are struggling with this here's a tip!
-18+-6 is what you are trying to solve
The 6 is negative, so get rid of the plus sign -18-6
2 negative numbers are just added like positive numbers
So add 18 and 6, you should get 24
Don't forget about the negative!
-24
What’s the slope and y-intercept of y=-1/3x-3
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y-intecept
Your equation is:
y= -1/3x - 3
So the slope is:
- 1/3
The y-intercept is:
-3
Find the difference.
2215 - 1489 =
Answer:
726
Step-by-step explanation:
Answer:
it is 726
Step-by-step explanation:
you subtract 2215 and 1489 and that gives you 726. :)
19 and 1 half as an improper fraction
PLZ HELP 10 points
Answer:
The mixed number 9 1/2 is equivalent to the improper fraction 19/2.
Step-by-step explanation:
Pls make me brainliest
Answer: 39/2
Step-by-step explanation:
Multiply 19 by 2
19x2=38
add the 1 from the 1/2
1+38=39
39/2 is your answer
–8(n + 7) >-96??????????????
Answer:
D) n<5
Step-by-step explanation:
Solve for the indicated angle.
126°
?
A) 130°
C) 1240
B) 540
D) 51°
а
Ob
Oc
Od
Choice A
Choice B
Choice
Choice D
Question zo
Question 20
Answer:
(B) 54°
the angle you're searching is equal to the angel above 126° ( corresponding angle)
180° - 126° = 54°
Answer:
B
Step-by-step explanation:
Subtract 126 from 180 which gives 54