Answers
Answer:
6. x = 3 7. x = 120 8. x= -5
Step-by-step explanation:
the first question is x(-4) + 3 = -9
find the value of x :
-4x + 3 = -9
we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.
-4x = -12
-4(3) = -12
therefore the answer to problem 6 is x=3
and for 7 :
x / 6 - 9 = 11
we can add 9 on both sides which will cancel it out;
x/6 = 20
120/6 = 20
therefore the answer to the question 7 is 120.
For problem 8 it says :
-3x -5 = 10
we can add 5 on both sides to get:
-3x = 15
-3(-5) = 15
therefore the answer to problem 8 is -5
Related Questions
Each cube inside the rectangular prism has no edge length of 3/4 inch what is the volume of the rectangular prism
Answers
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Answer:
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Step-by-step explanation:
James has 12.x coconuts. His father asks if he can take 2/3 of all the coconuts. He just received an income of 31 more coconuts. How many coconuts will be eaten?
A. 7.90
B. 69
C. 23
D. 5.98x
Answers
Answer:
Option D: 5.98x Coconuts
A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form.
Answers
Answer:
The equation for this function in point slope form: y = -3x+47
Step-by-step explanation:
We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.
Slope is the rate of change per unit represented by m
So, m = -3
General equation : y = mx+c ----1
y represents the depth of water
t represents the time
The depth of the water after 5 hours is 32 inches.
So, y =32 and x =5
Substitute the values in the equation
So,32=-3(5)+c
32=-15+c
32+15=c
47=c
Substitute the value of c and m in 1
So, The equation for this function in point slope form: y = -3x+47
Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded profit for the first ten years since the outlet opened. The domain represents the (cost per item, number of years, number of units) for which the outlet will earn a profit. The range of this function is (0,160000,80000 and 0,160000,80000). For this function, the range represents the outlets (number of years since opening,maximum profit, possible annual profits).
Answers
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
Hope this helps!!!!!!!!!
Step-by-step explanation:
from the graph attached below:
domain of graph is the value of x for which the given function profit function p(x) is defined.
(a) the domain represents the number of years for which the outlet will earn a profit.
range of profit function defines the lowest to highest value of profit earned.
(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.
U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help
Answers
Answer:
6
Step-by-step explanation:
60 mins ÷5= 12. 12 x2=24
60 mins ÷6=10. 10x3=30
30-24=6
The diagram shows a cuboid.
6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm.
What is the area of the shaded face?
Answers
Answer:
length x width x 6 = 90
area of shaded face = 15
The area of the shaded region is 15 square cm.
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of rectangle[tex]Area = lb[/tex]
Where,
l is the length of the rectangle.
b is the breadth of the rectangle.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid.
Formula for volume of cuboidvolume = length × breadth × height
According to the given question.
We have,
Height of the cuboid = 6cm
Volume of the cuboid = 90 cubic cm.
⇒ length × breadth × height = 90
⇒ length × breadth × 6 = 90
⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]
⇒ length × breadth = 15 square cm....(i)
Since, the area of shaded region = length × breadth
From (i)
Length × breadth = 15 square cm .
Hence, the area of the shaded region is 15 square cm.
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Joey can eat a pound and a half of ribs in 45 minutes. How many minutes would it take Joey to eat five pounds of ribs at the same rate?
Answers
Answer: 150 minutes
Step-by-step explanation:
1.5 pounds in 45 min
5 pounds in X times
Using proportionality:
[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]
A group of 80 students in a collage are surveyed.They are asked which of Spanish or French they are studying.71of the students surveyed studies at least one of the two languages.
a)Complete the Venn diagram.
b)How many students study only french?
c)How many students study Spanish?
Answers
Solve by substitution
X^2= 2y + 10
3x-y = 9
Answers
Answer:
[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]
Step-by-step explanation:
[tex]x^{2} =2y+10[/tex]
[tex]y=-9+3x[/tex]
[tex]x^{2} =2(-9+3x)+10[/tex]
[tex]x^{2} =-18+6x+10[/tex]
[tex]x^{2} =6x-8[/tex]
[tex]x^{2} -6x+8[/tex]
[tex]x=-4, -2[/tex]
[tex]y=-9+3(-4)[/tex]
[tex]y=-9-12[/tex]
[tex]y=-21[/tex]
[tex]y=-9+3(-2)[/tex]
[tex]y=-9-6[/tex]
[tex]y=-15[/tex]
Answer:
(4,3) (2,−3)
Step-by-step explanation:
x^2 =2(−9+3x)+10
2(−9+3x)+10
x2 = −18+6x+10
x2=6x−8
x2−6x+8=0
We now have to find integers that find product is 8 and whose sum is −6
= -4 -2 we find this is set to 4 2 as x−4=0
Add 4 to both sides of the equation. x=4
Set the next factor equal to 0
x−2=0 Add 2 to both sides of the equation.x=2
Confirms and proves x = 4, x = 2
We solve for y
2y+10=(4)2
2y+10=16
2y=16−10
2y = 6
y = 3
We rewrite and solve for y again
(2)^2=2y+10
2y+10=(2)*2
2y+10=4
2y = 4(-10)
2y = -6
y= -3
What are the next three numbers in this pattern?
11, 22, 12, 23,...
A 13, 24, 15
B 13, 24, 14
C 13, 23, 14
D 32, 43, 33
Answers
Answer:
B
Step-by-step explanation:
because first it is 11, 12, after it is 13, and 14
: for 22, 23 and after 24
Answer:
B
Step-by-step explanation:
Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Answers
5x=29x what is the value of x
Answers
Answer:
x = 0
Step-by-step explanation:
5x=29x
Subtract 5x from each side
5x-5x=29x-5x
0 = 24x
Divide each side by 24
0/24 =24x/24
0 = x
I will give the brainiest answer
Answers
Answer:
The answer is option (B).
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3
Answers
Answer:
A
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then the graph of f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) has been shifted 4 units left and 3 units down, thus
g(x) = (x + 4)² - 3 → A
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answers
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
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PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
Consider the letters of the word STRIVE are written on individual cards are placed in a box.
What is the complement to randomly choosing an R?
Answers
Answer:
1/6
Step-by-step explanation:
Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)
Answer: 5/6
The complement of an event is basically the complete opposite.
If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.
The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get
1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6
Can somebody help me please
Answers
Answer:
800
Step-by-step explanation:
900-100= 800
Therefore, the difference is 800. I hope this helps, have a great day!!!
Answer:
800
Explanation:
When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.
900 - 100
800
Therefore, $800 was the change in how much money she had.
Solve the following equation using algebraic operations (4n-18=22)
Answers
Answer:
n=10
Step-by-step explanation:
22+18=40 40/4=10
Given
4n - 18 = 22
Add 18 to both sides:
(4n - 18) + 18 = 22 +18
4n = 40
Divide 4n to both sides
[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]
n=10
Now if you have to you can substitute n into the original equation and see if they are equal to one another.
4n - 18 = 22
4(10) - 18 = 22
40 - 18 = 22
22 = 22
With this being done n = 10
Please hurry!!!
What is the solution of sqrt2x+4=16?
X=6
X=72
X=126
No solution
Answers
Answer:
126
Step-by-step explanation:
squaring both sides
([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]
⇒2x+4=256
2x=252
x=252/2=126
Paul worked for a video streaming company that has two monthly plans to choose from:
Plan 1: A flat rate of $7 per month plus $2.50 per video viewed
Plan 2: $4 per video viewed
Which plan would be the cheapest for Paul if he viewed 5 videos a month? Explain
Answers
Answer: Plan A
Step-by-step explanation:
7 + (2.50x5) = ?
7 + 12.50 = 19.50 therefore plan A = $19.50
Plan B = 5x4 = 20 therefore plan B = $20.00
Work out the value of a
Answers
Answer:
a=30
Step-by-step explanation:
I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The value of a is 30 degree
hope it helps..
Good luck on your assignment
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
Answers
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
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Which expression is equivalent to 510•55
Answers
Answer:
5^15
Step-by-step explanation:
When the bases are the same, we add the exponents when multiplying
5^10 * 5^5
5^(10+5)
5^15
Answer:
5 to the power of 15
Step-by-step explanation:
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
y=-6
y = 4
Answers
Answer:
x = - 5
Step-by-step explanation:
The line with equation x = - 2 is a vertical line parallel to the y- axis.
A parallel line will also have the equation
x = c
where c is the value opf the x- coordinates the line passes through.
The line passes through (- 5, 4) with x- coordinate - 5, thus
x = - 5 ← equation of parallel line
plz help ill mark u brainliest
Answers
Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
Please help me ASAP I will give brainliest
Answers
Answers The answer A
Step-by-step explanation:
Can someone help me ASAP with this
Answers
Answer:
C
Step-by-step explanation:
Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.
Henry was playing with his marble collection, and decided to challenge his friend Andrew to figure out how many of each color marbles he had. Henry gave Andrew the following clues. "I have x blue marbles. I have four times as many red marbles as blue marbles. I have 5 less green marbles then I do blue marbles." Altogether I have 91 marbles. How many green marbles does Henry have?
Answers
Answer:
11
Step-by-step explanation:
First, set up an equation. Since all the blue marbles+red marbles+green marbles= total number of marbles, we have: x+4x+x-5=91.
x+4x+x-5=91
6x-5=91
6x=96
x=16
Since there are x-5 green marbles, we get the number of green marbles=16-5=11.
PLEASE HELP!!!!By making minimum payments on a credit card, the consumer can A) avoid paying late fees B)pay off the balance quicker C)lessen the total amount owed D)avoid paying compounding interest
Answers
the answer is A).
Step-by-step explanation:
..........................
Answer:
I think B. I'm not sure though because i'm only 13 :(
You are making bracelets to sell. Each bracelet has two different colors of
beads. You have blue, silver, black, and purple beads. Which of these
strategies would you be most likely to use in planning the different bracelets
you can sell?
A. Find a pattern.
B. Guess and check.
C. Work backward.
D. Make a list.
Answers
Answer:
D. Make a list
Step-by-step explanation:
Answer:
D. Make a list
Step-by-step explanation:
You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.