Answer:
8(15-m)
Step-by-step explanation:
just took the test
2.4 Assignment 4
Alex has a job transporting furniture by truck. His truck is filled with tables that weigh 250 pounds each
and chairs that weigh 20 pounds each. There is a combined total of 300 tables and chairs in his truck.
Let x be the number of tables in his truck. Write an expression for the combined total weight (in
pounds) of the tables and chairs in his truck.
Choose one. 4 points
Total weight in pounds = 230.3 + 50
O
Total weight in pounds = -230.2 + 550
O
Total weight in pounds = -2302 + 75,000
O
Total weight in pounds = 2302 + 6000
Total weight in pounds = 230x + 75,000
Total weight in pounds = -230x + 50
O O
Total weight in pounds = -230x + 6000
Using a system of equations, it is found that the expression for the combined total weight is given by:
Weight = 250x + 20(300 - x).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of tables in the truck.Variable y: Number of chairs in the truck.There is a combined total of 300 tables and chairs in his truck, hence:
x + y = 300 -> y = 300 - x
His truck is filled with tables that weigh 250 pounds each and chairs that weigh 20 pounds each, hence the total weight is:
Weight = 250x + 20(300 - x).
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Which loan or loans listed below are awarded based on the financial need of the student?
I. Perkins loan
II. subsidized Stafford loan
III. unsubsidized Stafford loan
a.
I only
b.
I and II
c.
II and III
d.
I, II, and III
Answer:
B.
I and II
Step-by-step explanation:
The loan or loans listed below are awarded based on the financial need of the student are the Perkins loan and subsidized Stafford loan. Option B. This is further explained below.
What is loan?Generally, a loan is simply defined as a borrowed object, especially a quantity of money that is anticipated to be repaid with interest.
In conclusion, The Perkins loan and subsidized Stafford loan are two loans that are provided depending on the student's financial need.
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Which rule describes the function in the graph below?
10
9
8
7
(4.6)
10,6
5
4
3
(-2,2
2
1
3
4 5
B 7
8 9
-7 -6 -5 -4 -3 -2 -14
Ni-
X, XS-2
Save and Exit
Next
Submit
Mark this and retum
Answer:THE ANSWER IS B ON 55th STREET NIFTY
Step-by-step explanation:
Solve the inequality 4(k − 5) + 12k ≥ −4
Answer:
k ≥ 1
Step-by-step explanation:
Step 1: Write inequality
4(k - 5) + 12k ≥ -4
Step 2: Solve for k
Distribute 4: 4k - 20 + 12k ≥ -4Combine like terms: 16k - 20 ≥ -4Add 20 to both sides: 16k ≥ 16Divide 16 on both sides: k ≥ 1Flying agaist the wind, an airplane travels 6300 kilometers in7 hours. Flying with the wind, the same plane travels 8400 in 6 hours. What is the rate of the plane is still air and what is the rate of the wind?
Answer:
plane: 1150 kphwind: 250 kphStep-by-step explanation:
The given relationships allow us to write a system of equations in the speeds of the wind and plane.
Let w and p represent the speeds of the wind and the plane, respectively. We know speed is the ratio of distance to time, so ...
p -w = 6300 km/(7 h) = 900 km/h
p +w = 8400 km/(6 h) = 1400 km/h
__
Adding these two equations gives ...
2p = 2300 km/h
p = 1150 km/h . . . . . . divide by 2
Subtracting the first equation from the second gives ...
2w = 500 km/h
w = 250 km/h
The speed of the plane in still air is 1150 km per hour; the speed of the wind is 250 km per hour.
help model -5+(-6) on the number line
Answer:
-5 -6 = -11
You start at -5 and move to the left by 6 spaces until you get to -11 :)
Hope this helps!
Have a good day!
Please rate and mark brainliest!!
Find the sum of the average monthly rainfalls 1/8 + 1/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 2
Answer:
37/4
Step-by-step explanation:
1/8 + 1/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 2 = 3/8 + 3/2 + 13/4 + 33/8 = 37/4
Solve for x.
4x - 36
3x + 10
Answer:
x = 46
Step-by-step explanation:
Since the angles are equal to each other, make the equations equal to each other.
4x - 36 = 3x + 10 and simplify
x - 36 = 10
x = 46
Hope this helps!
The value of x is 46.
Since the angles are equal to each other, make the equations equal to each other.
4x - 36 = 3x + 10
First, let's move the term with 3x to the left side by subtracting 3x from both sides:
4x - 3x - 36 = 3x - 3x + 10
Simplifying further:
x - 36 = 10
Next, let's move the constant term -36 to the right side by adding 36 to both sides:
x - 36 + 36 = 10 + 36
Simplifying further:
x = 46
Therefore, the value of x is 46.
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A machine that drills holes for wells drilled to a depth of
–72 feet in one day (24 hours).
If the machine drilled at a constant rate, what was the
depth after 15 hours?
Answer:
depth of -117 feet
Step-by-step explanation:
24 hours 72 feet, so one hour 72/24 = 3 feet
after 15 hours, another 3*15 = 45 feet, so the depth become 72 + 45 = 117 feet
Assuming that the heights of college women are normally distributed with mean 63 inches and standard deviation 3 inches, what percentage of women are taller than 60 inches?
Answer:
cs.a,C|"< dl\vds
Step-by-step explanation:
seven subtracted from twice a number given 17, find this number.
Answer:
The number should be 12.
Step-by-step explanation:
We can form a simple equation and solve for the variable:
2x - 7 = 17
2x = 24
x = 12
Exercice 2:
Exprimer chacune des propositions suivantes par une égalité faisant intervenir des longueurs.
1) Le point A est l'image du point B par l'homothétie de centre i et de rapport 0,6.
2) Le point M a pour image de point P par l'homothétie de centre R et de rapport -3.
3) Le point A est l'image du point B par l'homothétie de centre i et de rapport -5.
4) Le point M a pour image de point P par l'homothétie de centre R et de rapport 0,2.
Answer:
this question is wrong
C, G, and D are collinear. E, G, and F are also collinear. The two lines
intersect at point G. Line EF bisects line CD. Find EG: if CG=5x-1, GD=7x-
13, EF=6x-4, and GF=13.
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
Please help. Systems of equations. Solve using elimination.
12X + 16y = 96
12X + 48y = 192
Answer:
x=4
y=3
Step-by-step explanation:
12X + 16y = 96--(1)
12X + 48y = 192---(2)
(2)-(1),
12x + 48y - (12x+ 16y)= 192- 96
12x + 48y - 12x - 16y = 96
32y = 96
y= 96÷32
y =3
substituting y=3 in (1),
12x +(16×3) = 96
12x + 48 = 96
12x = 96-48
12x = 48
x= 48÷12
x= 4
Hope this helps!
If the same number is subtracted from both the numerator and the denominator of 13/17 , the result is 3/5 . Find the number.
Answer:
10/12?
Step-by-step explanation:
How many pounds are there in 2 3/4 tons? (1 ton = 2000 pounds)
Hello!
Answer:
There are 5500 pounds in 2 3/4 tons
Hope you luck!
Compute using long division: 342 ÷ 23
The quotient after division is 322 and the remainder is 20.
What is long division?Long division is the mathematical method for dividing large numbers into smaller groups or parts.
Given that, 342 ÷ 23,
When we will divide 342 by 23, we will get,
The quotient 322 and the remainder is 20.
Hence, the quotient after division is 322 and the remainder is 20.
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Simplify the expression.
(3x\y)^-3
PLEASE ANSWER ASAP!!!!
Rewrite each of the following expressions without using absolute value
-|-3|
Answer:
-3
Step-by-step explanation:
[tex]\downdownarrows\\ -\left|-3\right|[/tex]
Calculate the absolute value
[tex]-3[/tex]
I hope this helps you
:)
What is the cf of 32 and 24?
Answer:
8
24 divided by 8 =3
32 divided by 8 =4
The height of a parallelogram is 5 feet The base is 7 feet the length is 9 1/2 feet what is the area of the parallelogram
Answer:
[10 ft.]
Step-by-step explanation:
It's being given that there is a paralleolgram.
Let the length of its base is x ft.
Therefore, length of height = (x+6) ft.
Also, area of paralleolgram = 160 sq.
ft.
Now, we know that,
Area of paralleolgram = base x height
Therefore, we will get,
=> x(x+6) = 160
=> x² + 6x - 160 = 0
=> x² + 16x - 10x - 160 = 0
=> x(x+16) - 10(x+16)=0
=> (x+16) (x - 10) = 0
=> x +16=0 or X- - 10-0
=> x=-16
or
X = 10
But, we know that, length can't ever be negative.
Therefore, x = 10
Hence, length of base = 10 ft.
Maura added 5/8 of a cup of walnuts to a batch of trail mix. Later, she added 3/4 of a cup of almonds. How many cups of nuts did Maura put in the trail mix in all? Write your answer as a fraction or as a whole or mixed number. cups
Answer:
1 3/8 cups
Step-by-step explanation:
the equation is 5/8 + 3/4
to figure it out we need the same denominator, we'll be choosing 8
3 (x2)/ 4 (x2) = 6/8
you would have to multiply 2 both on the top and bottem
then you would have to add
5/8 + 6/8 = 11/8
then make that into a whole fraction
11/8 = 1 3/8
Write an expression to b+b+b+b+b that is that a sum of two terms
Answer: 5b is your answer
Step-by-step explanation:
PLS HELP ME. Been on the same question for a while now.
Answer:
1050
Step-by-step explanation:
So, we know 4/5 of a gallon can paint 280ft^2, but we don't know how much each gallon can paint, so to find x, do this
4/5x=280ft^2, next multiply both sides by 5/4 to get x by itself
x=350
Now multiply x by 3 to get your new answer.
350*3=1050
Hope this helps, feel free to leave any questions.
2 1/2 =1 2/3 ÷y
i need help please
Answer:
Step-by-step explanation:
2*1 /2 = 1*2 / 3 / y
2/2=2/3 / y
1=2/3 x 1/y
1=2/3y
3y=2
y=2/3
whats a better way to solve a polygon and what are the steps to it.
Hey there!
Calculating the exterior angles of regular polygons
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
Caroline surveyed 380 of the students in her school about their favorite color. 209 students said their favorite color was blue. What percentage of the surveyed students said their favorite color was blue?
Answer:
55% of the students surveyed said their favorite color was blue
Step-by-step explanation:
[tex]\frac{209}{380}[/tex] as a percent = 55%, or 0.55 in decimal form.
Solve the proportion:
5/X=12.5/20
A X=8
B X=9
C X=10
Answer:
A. X =8
Step-by-step explanation:
5/X=12.5/20
cross multiply
12.5X = 20*5
12.5X=100
X=100/12.5
X=8
what is the absolute value of 1
Answer:
1
Step-by-step explanation:
Since absolute value is the distance between zero, and the particular value, it is always positive! In this case, the distance between one and zero is exactly one!
Help!
What is the answer to this question?
Answer:
Its perimeter is 23 units
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of its outline sides
The rule of the distance between two points is:
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]In the given figure ABCD:
Its perimeter = AB + BC + CD + DE + EA
→ Find the length of each side using the rule above
A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1), E = (2, -4)
→ Substitute them in the rule above to find the lengths of its sides
[tex]AB=\sqrt{(-1--4)^{2}+(2--2)^{2}}=\sqrt{(-1+4)^{2}+(2+2)^{2}}\\\\=\sqrt{(3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]
∴ AB = 5
[tex]BC=\sqrt{(2--1)^{2}+(2-2)^{2}}=\sqrt{(2+1)^{2}+(0)^{2}}\\\\=\sqrt{(3)^{2}+0}=\sqrt{9+0}=\sqrt{9}[/tex]
∴ BC = 3
[tex]CD=\sqrt{(5-2)^{2}+(-1-2)^{2}}=\sqrt{(3)^{2}+(-3)^{2}}\\\\=\sqrt{9+9}=\sqrt{18}[/tex]
∴ CD = [tex]\sqrt{18}[/tex]
[tex]DE=\sqrt{(2-5)^{2}+(-4--1)^{2}}=\sqrt{(-3)^{2}+(-4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(-3)^{2}}=\sqrt{9+9}=\sqrt{18}[/tex]
∴ DE = [tex]\sqrt{18}[/tex]
[tex]EA=\sqrt{(-4-2)^{2}+(-2--4)^{2}}=\sqrt{(-6)^{2}+(-2+4)^{2}}\\\\=\sqrt{(-6)^{2}+(2)^{2}}=\sqrt{36+4}=\sqrt{40}[/tex]
∴ EA = [tex]\sqrt{40}[/tex]
→ Add them to find the perimeter of the figure ABCDE
∴ Its perimeter = 5 + 3 + [tex]\sqrt{18}[/tex] + [tex]\sqrt{18}[/tex] +[tex]\sqrt{40}[/tex] ≅ 22.8098
→ Round it to the whole number
∴ Its perimeter = 23 units