To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
Please help me understand this problem.
Answer:
[tex]\frac{31}{45}x[/tex]
__________________________________________________________
Step-by-step explanation:
We are given:
3[tex]\frac{1}{5}x[/tex] + 10[tex]\frac{7}{9}x[/tex] - 2[tex]\frac{2}{5}x[/tex] - 10[tex]\frac{8}{9}x[/tex]
Concepts used:
Evaluating Mixed fractions and Adding like terms
Simplifying the Mixed Fractions:
to simplify these mixed fractions, we will multiply the whole number part with the fraction's denominator and add that to the numerator.
The number formed will be given the same denominator as of the fraction part in the number
After simplifying these mixed fraction, we get:
[tex]\frac{16}{5}x + \frac{97}{9}x - \frac{12}{5}x - \frac{98}{9}x[/tex]
Adding and Subtracting the like terms:
to simplify our calculations, we will pair the numbers with the same denominator
[tex](\frac{16}{5}x - \frac{12}{5}x) + (\frac{97}{9}x - \frac{98}{9}x)[/tex]
Simplifying the terms in the brackets
[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]
Taking the LCM and simplifying
[tex]\frac{36}{45}x - \frac{5}{45}x[/tex]
Since the denominators are equal, the numerators can now be subtracted
[tex]\frac{31}{45}x[/tex]
Therefore, simplifying the given series of number gives us 31x/45
Which represents the value of Point C on the number line?
Answer:
1
Step-by-step explanation:
Find the area of each figure.
10 mm
15 mm
B mm
30 mm
Answer:370mm^3
Step-by-step explanation:
You would first find the area of the whole rectangle without the hole, so (15)(30)=450
Next find the area of the hole, (8)(10)=80
To find the area you must subtract the area of the hole from the rectangle.
450-80=370
Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?
PLEASE HELP, ILL GIVE YOU 15
Answer:
2700
Step-by-step explanation:
9x20x15= 2700
Shelby Industries has a capacity to produce 45,000 oak shelves per year and is currently selling 40,000 shelves for $32 each. Martin Hardwoods has approached Shelby about buying 1,050 shelves for a new project and is willing to pay $26.8 each. The shelves can be packaged in bulk; this saves Shelby $1.14 per shelf compared to the normal packaging cost. Shelves have a unit variable cost of $25.4 with fixed costs of $350,000. Because the shelves don’t require packaging, the unit variable costs for the special order will drop by $1.14 per shelf. Shelby has enough idle capacity to accept the contract. What is TOTAL the profit/loss if Shelby should accept for this special order?
Answer:
y = mx + c
since m = 0
c = 9
$350,000 + $25.4 = y value
The total loss is $347,115 for Shelby if they accept the special order.
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
To find the profit or loss for Shelby if they accept the special order, we need to calculate their total revenue from the sale and subtract their total costs.
First, let's calculate the total revenue from the sale of the 1,050 shelves to Martin Hardwoods. The price per shelf is $26.8, so the total revenue is 1,050 shelves x $26.8/shelf = $28,020.
Next, we need to calculate the total cost of producing and packaging the shelves. The unit variable cost is $25.4 per shelf, but because the shelves don't need to be packaged, the unit variable cost will be reduced by $1.14 per shelf. This means the unit variable cost for this special order is $25.4 - $1.14 = $24.26 per shelf.
The total cost of producing the 1,050 shelves is 1,050 shelves x $24.26/shelf = $25,135.
Finally, we need to add in the fixed costs of $350,000. This means the total cost of the special order is $25,135 + $350,000 = $375,135.
To find the profit or loss, we subtract the total cost from the total revenue: $28,020 - $375,135 = -$347,115.
Therefore, the total profit or loss for Shelby if they accept the special order is a loss of $347,115.
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}24} Please help me with this question.
Answer:
Queen
Step-by-step explanation:
This is because only the Queen rules the United Kingdom
Hope this Helps!!! :)
Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2
Answer:
a, b, c
25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)
Step-by-step explanation:
The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C
How to simplify the Algebra?
We want to find the expression equal to 25x⁴ - 64
A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64
B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64
C) (5x² + 8)(5x² - 8)
Expanding the bracket gives;
⇒ 25x⁴ - 64
D) (x² + 13)(x² - 13)
Expanding the bracket gives;
⇒ x⁴ - 169
E) (5x² - 8)²
Expanding the bracket gives;
⇒ 25x⁴ - 5x² + 64
Looking at all the answers, only options A, B and C are correct
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Complete the steps to find the value of x.
2x
128
The required value of the x in the expression 2x = 128 is x = 64.
Given that,
An expression is given 2x = 128, to determine the simplified value of the x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is,
2x = 128
Dividing both the sides by 2
2x / 2 = 128 / 2
x = 64
Thus, the required value of the x in the expression 2x = 128 is x = 64.
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Which is greater: 10cm or 103mm? How much greater?
Answer:
0.3cm and/or 3mm
Step-by-step explanation:
When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.
Find the slope using the formula.
(9,-5) and (-2,9)
Answer:
14/-11
Step-by-step explanation:
use the slope formula ( y2-y1/x2-x1)
Answer:[tex]-\frac{14}{11}[/tex]
Step-by-step explanation: Formula (y2-y1)/(x2-x1)
(9+5)/(-2-9) = [tex]-\frac{14}{11}[/tex]
Y'all what it 10/7 divided by 4
Answer:
.........
Step-by-step explanation:
10/7 x 1/4
10x1/7x4
10/7x4
10/28
5/14
Hope I helped
5/14 is your answer
I WILL MARK BRAINIEST
Please help it’s due
Answer:
m4 = 90 - x
m1 = 90 - x
m5 = 90 + x
Step-by-step explanation:
m4 = 90 - x
m1 = 90 - x
m5 = 180 - (90 - x)
m5 = 90 + x
If the time is given in months, you must first _____________ by 12.
Answer:
Multiply
Step-by-step explanation:
I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years
1. If f(x) = 5X - 2 Find f(4)
Answer:18
f(x) = 5x - 2
=> f(4) = 5.4 - 2 = 20 - 2 = 18
Step-by-step explanation:
Answer:
18 hope it will help you
Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100 SAMSUNG Which ordered pair (x, y) represents a combination of charms and earrings Aisha can buy? A. (16,8) B. (15,8) C. (9, 13) D. (6, 15) E. , (5, 16)
Answer:
The answer is D
Step-by-step explanation:
6 times 4 is 24
15 times 5 is 75
75 + 24 = 99
The rest of the answers go over 100
The ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).
What is inequality?The relation between two unequal expressions is defined as inequality.
The given inequality is 4x+ 5y <100.
(A) Check the inequality for (16,8):
4(16) + 5(8) < 100
64 + 40 < 100
104 < 100
The inequality is false.
(B) Check the inequality for (15,8):
4(15) + 5(8) < 100
60 + 40 < 100
100 < 100
The inequality is false.
(C) Check the inequality for (9,13):
4(9) + 5(13) < 100
36 + 65 < 100
101 < 100
The inequality is false.
(D) Check the inequality for (6,15):
4(6) + 5(15) < 100
24 + 75 < 100
99 < 100
The inequality is true, hence, (6,15) represents a combination of charms and earrings Aisha can buy.
(E) Check the inequality for (5,16):
4(5) + 15(16) < 100
20 + 240 < 100
260 < 100
The inequality is false.
Hence, the ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).
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a recipe calls for 2/3 cup of milk for 11 cookies. How many cups of milk are needed for 165 cookies
Answer:
11 x 15 = 165, so to make 165 cookies, you would need 15 times the milk.
2/3 times 15 = 10
You would need 10 cups of milk to make 165 cookies
PLZZ NEED HELPP ANDD FASSTT ⚠️⚠️⚠️⚠️
Answer:
d
Step-by-step explanation:
Answer:
the answer for your question is B.
y + 12 = -30
Please help
What do you want help with? You didn't ask a question...
A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)? PLEASE GIVE STEPS
A polynomial that has at least one x-intercept, will have at least one factor.
The factors of the polynomial are [tex]\mathbf{x +6}[/tex] and [tex]\mathbf{x - 2}[/tex]
The given parameters are:
[tex]\mathbf{x-intercepts = (-6,0)\ and\ (2,0)}[/tex]
The x intercepts, represent the value of x, when the function equals 0.
So, the x values at the x-intercepts are:
[tex]\mathbf{x = -6 \ and\ x = 2}[/tex]
Set these equations to 0
[tex]\mathbf{x +6=0 \ and\ x - 2=0}[/tex]
Hence, the factors of the polynomial are:
[tex]\mathbf{x +6}[/tex] and [tex]\mathbf{x - 2}[/tex]
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What are two different coin combinations that can equal 30% of a dollar?
round 446,662 to the nearest hundred thousand
Answer:
400,000
Step-by-step explanation:
446 is the closest to 400 so 400,000
pls mark brainliest
Answer:
400,000 is the correct answer
Step-by-step explanation:
just round the 4.
Does anyone know this answer
Answer:
the third option
Step-by-step explanation:
by shifting it up 3, you just add 3 to -7 which is -4
by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1
Please help out , thank you
Answer:
4
Step-by-step explanation:
According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).
which other expression has the same value as (-14)-8? Explain your reasoning
Answer:
It would be D. (-14)+(-8)
Step-by-step explanation:
It is D. Because when you add -8 and -14 you would get the answer -22
Hope this helps!
The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x (in
feet).
Answer:
[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]
[tex] x = 8.7 ft [/tex]
Step-by-step explanation:
Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame
Thus, the equation to find the unknown side length, x, would be:
✔️[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]
Solve for x
[tex] 14.89 + x = 23.59 [/tex]
Subtract 14.89 from each side
[tex] 14.89 + x - 14.89 = 23.59 - 14.89 [/tex]
✔️[tex] x = 8.7 ft [/tex]
What is the value of
26 - 16 / 2 + 3 * 4 =
A. 32
B. 30
C. 6
D. 22
B) 30
Step-by-step explanation:
i hope this helps :)
Solve the fraction 11/12 + 1/2 + 3/4
Answer:
2 1/6
Step-by-step explanation:
find common denominator: 12
11/12
1/2=6/12
3/4=9/12
add:
11/12+6/12+9/12=26/12
simplify:
26/12=13/6=2 1/6
hopefully this helps :)
State if the triangle is acute, obtuse, or right.
Answer:
Its a right triangle.
Step-by-step explanation:
Every week hector works 20 hours and earns $210.00 he earns a constant amount of money per hour white a equation that can be used to determine the number of hours h hector works given the number of weeks w
Answer:
to find out how much hector earns a hour we can do
Step-by-step explanation:
210 ÷ 20
I think you missed some writing it doesn't say the whole question. so I'm not really sure^^