Answer:
x ft is the answer since X = 10
so it means 10 ft
If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?
Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.
The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:
The length is of 102' 6''(102 feet and 6 inches), hence [tex]l = 102.5[/tex].The width is of 5' 4'', hence [tex]w = 5.33[/tex].The depth(height) is of 3' 3'', hence [tex]h = 3.25[/tex].Then:
[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]
The volume that was removed is 1776 cubic feet.
To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528
what is the solution to the system 3x+2y=-3 and 9x +4y=3
Answer:
x=3, y=-6
Step-by-step explanation:
As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!
Let’s begin with our detailed answer:
As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.
So in our system of equations:
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
To eliminate this question we can divide the top part by -3:
[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]
Let‘s sum these system of equation and we get: [tex]y=-6[/tex]
We can now insert y as -6 and solve for x:
[tex]3x-12=-3[/tex]
[tex]x=3[/tex]
So, [tex]x=3, y = -6[/tex]
Answer:
(3, - 6 )
Step-by-step explanation:
3x + 2y = - 3 → (1)
9x + 4y = 3 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x - 6y = 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = 12
- 2y = 12 ( divide both sides by - 2 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
3x + 2(- 6) = - 3
3x - 12 = - 3 ( add 12 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 6 )
Pls help as soon as possible thank you
Answer:
answer is b
Step-by-step explanation:
6x+10
6*-3+10=-8
4x+4
4*-3+4=-8
Which fractions are equivalent to the fraction below. 20/32
Answer:
5/8
Step-by-step explanation:
The answer is 5/8 because 4*5 equals 20 and 4*8 equals 32. Therefore, you have to do the same thing you do to the numerator to the denominator. In addition, you I divided 20 by 4 which is 5 and 32 divided by 4 is 8. So, it is 5/8.
Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.
PLEASE HELP Me
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Let the number be x
#11
[tex]\\ \sf\longmapsto x+6=20[/tex]
#12
[tex]\\ \sf\longmapsto x-7=4[/tex]
#13
[tex]\\ \sf\longmapsto x(x+1)=31[/tex]
#14
[tex]\\ \sf\longmapsto 2x+2=13[/tex]
#15
[tex]\\ \sf\longmapsto x-1=18[/tex]
#16
[tex]\\ \sf\longmapsto x^2+4=17[/tex]
#17
[tex]\\ \sf\longmapsto x^2/2=18[/tex]
#18
[tex]\\ \sf\longmapsto x+90/2=70[/tex]
Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence
Answer:
Brandon will make 9 dollars an hour while he works at the resturant
Step-by-step explanation:
63/7=9
Hi!
If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.
7 goes into 63 nine times, therefore he makes $9 per hour.
Hope this helps and let me know if you need any other help! :D
What is one five eights plus one two eights?
Answer:
5/8
Step-by-step explanation:
Answer: I think it's 2 7/8 lemme know if i'm wrong
Step-by-step explanation:
Find the inverse of the function.
f(x) = x^3 - 3
Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins
Answer:
0.158203125
i think
Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.
(b) How much will 12 kg cost?
Match the description with the ratio. 1. There are four red bows out of ten bows. 6:10 2. There are three silver bows for every four red bows in a bag. 3:10 3. There are six blue bows and ten silver bows. 3:4 4. There are three black bows out of a bag of ten bows. 4:10 pls help daddy
Answer:
There are six blue bows and ten silver bows. = 6:10
There are four red bows out of ten bows. = 4:10
There are three black bows out of a bag of ten bows. = 3:10
There are three silver bows for every four red bows in a bag. 3:4
How do you write 2/5 as a percentage
Answer:
40%
Step-by-step explanation:
To convert a decimal to a fraction, multiply it to 100
[tex]\frac{2}{5} \times 100[/tex]
[tex]=\frac{2}{5} \times \frac{100}{1}[/tex]
[tex]=\frac{2\times100}{5\times1}[/tex]
[tex]=\frac{200}{5}[/tex]
[tex]=40[/tex]
Therefore, [tex]\frac{2}{5}[/tex] is 40%
Step-by-step explanation:
Explanation:
To get 25 as a percent, we need the denominator to be 100 .
Now that we have a denominator equal to 100 , just look at the numerator and that's your percent.
40%
.40.
.4 or 0.4.
add r to s, double the result, then multiply what you have by t
Answer:
(rs2) x t
Step-by-step explanation:
r+s=rs
rsx2=rs2
(rs2)xt
Answer:
2t(s+r)
Step-by-step explanation:
Add r to s
s+r
Double the result
2(s+r)
Multiply what you have by t
2t(s+r)
Need some help in this please
Answer:
∠GHD is 85°
Step-by-step explanation:
180°-95°
85°
what is the answer
-1/2n^2+18=0
n= ___
Answer:
n = 6 , − 6
Step-by-step explanation:
Take the root of both sides and solve.
[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]
For a project in her Geometry class, Makayla uses a mirror on the ground to measure the height of her school building. She walks a distance of 13.75 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answer: The answer is 19.04 meters.
Explanation: The explanation is in the image.
Determine if the two triangles are congruent. If they are, state how you know
Omar needs at least $8 to buy lunch. Which number line represents this scenario?
Answer:
I'd say none, as we're missing something in this problem. Make sure you've included everything to solve this problem. Thanks.
Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl
Answer:
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
Step-by-step explanation:
m is an SI prefix for milli-, meaning 1/1000.
c is an SI prefix for centi-, meaning 1/100.
Expressed in liters, these volumes are ...
0.10 l
0.50 l
1000/1000 l = 1.00 l
10/1000 l = 0.01 l
15/100 l = 0.15 l
In order from smallest to largest, they are ...
0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l
In the original units, the order is ...
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks
Step-by-step explanation:
2wks = 24 days
If he spent 60days going 127.8 miles
He will spend 14 days going X miles
60/14 =127.8/X cross multiply
60X= 14×127.8
X=( 14×127.8)÷60
X= 29.82 miles
Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike
Children
Friends
Babies
Lunches
Bikes
What is it okzzzzzzzzzzzzZ
Answer:
2
Step-by-step explanation:
the coefficient is the number in front of the variable (the number being multiplied by the variable).
20x^5 y^3 + 8x^6 y^3 - 4x^5 y^2
———————————————
4x^5 y^2
Answer:
1) 4x^{5} y^{2} (5y+2xy-1)
2) Implied to have no solution based on given context.
Step-by-step explanation:
Problem 1:
1) Find the Greatest Common Factor (GCF).
[tex]GCF=4x^{5} y^{2}[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]
3) Simplify each term in parentheses.
[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]
Problem 2:
From the way the problem is given, there is no solution.
18. A glasscutter needs to cut rectangular pieces of
glass to make an aquarium. How can he make sure
that the glass pieces he is going to cut are
rectangular in shape? Justify your reasoning
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
All four interior angles = 90° each.Opposite sides are parallel and equal to each other.Diagonals should be of the same length and should bisect each other.Properties of a RectangleAll four angles of a rectangle are 90° each.There are two pairs of parallel sides that are equal in length.The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
Make the four interior angles 90° each.The opposite sides should be parallel and equal to each other.The diagonals should be of the same length and should bisect each other.Learn more about properties of rectangle on:
https://brainly.com/question/2835318
A line with a slope of 10 passes through the point (0,4). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=10x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=10(x-0)
y-4=10(x)
y-4=10x
y=10x+4
help please
No links
Answer:
62-0.75x8
Step-by-step explanation
$6=discount
8 tickets
Total=62.00
0.75 multiplied by 8= 6
62-6=56
56 is before the discount
Equation would be 62-0.75x8
x-5y=16 , 4x-2y=-8 solve using elimination method
Answer:
x = -4
y = -4
Step-by-step explanation:
L1 x - 5y = 16
L2 4x - 2y = -8
4*L1 - L2
4x - 20y = 64
-4x + 2y = 8
-----------------------
-18y = 72
y = 72 / -18
y = -4
x - 5y = 16
x = 16 + 5y
x = 16 + 5(-4)
x = 16 - 20
x = -4
Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?
Answer:
1440
Step-by-step explanation:
I wish this was free ✋
Answer: It is tho ?
Step-by-step explanation:
Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total
Answer:
3 2-pt shots, 4 3-pt shots
Step-by-step explanation:
2x + 3y = 18
x + y = 7, so x = 7 - y
Substitute in for x
2(7 - y) + 3y = 18
14 - 2y + 3y = 18
14 + y = 18
y = 4
Now put 4 in for y to solve for x
2x + 3(4) = 18
2x + 12 = 18
2x = 6
x = 3