Answer:
x = -1
Step-by-step explanation:
3/4x + 3 -2x = -1/4 + 1/2x + 5
3/4x + 3 -2x = 19/4 + 1/2x
3x + 12 - 8x = 19 + 2x
-5x + 12 = 19 + 2x
-5x - 2x + 12 = 19
-7x = 19 - 12
-7x = 7
x = -1
By solving the algebraic equation [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.
What is algebraic equation?Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]
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Which of the following statements best describes the value of the expression 5x – 4 when x = 1? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.
The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.
Which of the statements best describes the value of the expression 5x – 4 when x = 1?It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.
Hence, when x = 1;
5x - 4 = 5(1) - 4.
= 5 - 4
= 1.
Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.
Therefore, Choice D is correct.
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Please answer this question it is for Math!
Answer:do you mean plotting a graph
Step-by-step explanation:
someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Answer:
12.
Step-by-step explanation:
to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.
166 2/3 percent as a fraction
The fraction is 5000/3.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.
Given:
166 2/3 percent as a fraction
Now, converting it into fraction
= 500/3 x 100
= 50000/3
Hence, the fraction is 5000/3
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how many dimes equal the value of 6 quarters.show you step
Answer:
15 dimes
Step-by-step explanation:
6 quarter = 1.50$
150 / 10 = x amount of dimes
X amount of dimes = 150$
15 dimes = 1.50$
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer:
6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters
Step-by-step explanation:
jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]
Answer:
asdfasdf
Step-by-step explanation:
Answer:
$1680
Step-by-step explanation:
1500=100%
100+12(interest)=112
112=1.12(multiplier)
1500×1.12=$1680
Find the number,if 1/5 of it is 15
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.
Answer:
The average of the 10 numbers is 195
Step-by-step explanation:
The average of a set of numbers is the sum of the numbers dividing by their number
Average = The sum ÷ The number∵ The average of 60 numbers is 55
∴ The average = 55
∴ The number = 60
→ Substitute them in the rule above to find the sum of the numbers
∵ 55 = The sum ÷ 60
→ Multiply each side by 60
∴ 3300 = The sum
∴ The sum of the 60 numbers = 3300
∵ 10 more numbers are included
∵ The average of 70 numbers become 75
∴ The average = 75
∴ The number = 70
→ Substitute them in the rule above to find the sum of the numbers
∵ 75 = The sum ÷ 70
→ Multiply each side by 70
∴ 5250 = The sum
∴ The sum of the 70 numbers = 5250
∵ The sum of the 10 numbers that added is the difference between
the sums of the 60 and 70 numbers
∵ The difference between the sums = 5250 - 3300
∴ The difference between the sums = 1950
→ To find the average of them divide their sum by 10
∵ The average of the 10 numbers = 1950 ÷ 10
∴ The average of the 10 numbers = 195
A chair cost $250 last year and $175 this year by what percent did the price decrease?
Answer:
I believe it is 50% decreased, not sure
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
in order to find the percentage of the price decrease,we must find the difference between the prices
250-175=75
the price has dropped 75$
to find the percentage, we do 75/250
which can be simplified to 3/10 or 30%
We can check this by finding 30% of 250 which is 75
75=75
Show how you would simplify the following expressions. Show your work.
Could someone please answer b?
Answer:
b. The total sum of the money was $330
Step-by-step explanation:
#b
∵ A sum of money is divided among John, Paul, and Robert
∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5
→ Multiply the ratio of each share by x
∴ The share of John = 2x
∴ The share of Paul = 4x
∴ The share of Robert = 5x
→ Find their sum
∴ The sum of the money = 2x + 4x + 5x = 11x
∵ The sum of the money is divided equally among them
→ That means dividing the sum by 3 to find the share of every one
∵ The sum of the money = 11x
∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x
∴ The share of John is larger by $50
→ That means the difference between his shares is 50
∵ [tex]\frac{11}{3}[/tex]x - 2x = 50
∴ [tex]\frac{5}{3}[/tex]x = 50
→ Divide both sides by [tex]\frac{5}{3}[/tex]
∴ x = 30
→ Substitute it in the sum of the money to find it
∵ The sum of the money = 11(30)
∴ The sum of the money = $330
∴ The total sum of the money is $330
PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup
ANSWERS
one-fifth
4
two-thirds
5
Answer:
5
Step-by-step explanation:
For every one cup of lime juice, there is 5 cups of sugar.
Answer:
i think its one-fifth
Step-by-step explanation:
i hope my math is right
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
Answer:
2/7 or about 29%
Step-by-step explanation:
2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).
Answer:
2/7
Step-by-step explanation:
There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7
Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation
Reflection. A reflection is what appears to be the same distance from the other side of the mirror.
A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?
Answer:
34in. of snow = +50 snow passes
+34in. of snow = +50 snow passes
Step-by-step explanation:
Which equation best describes a relationship between x and y in the table below?
Answer:
y = [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y = mx + b , "b" is y-intercept with coordinates (0, b)
(0, 5)
(6, 7)
m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + 5
9. Identify the marked measurement
Answer:
9. 3.4
10. 4.4
Step-by-step explanation:
Which pair of lines are perpendicular?
A. x - y = 7 and y = x + 3
B. y = -4x + 1 and 8x + 2y = -10
C. y = -8 and y = 2
D. x = 4 and y = -1
what is 6 1/10 plus 5 4/5 ASAP please
Answer:
11 9/10
Step-by-step explanation:
6 + 5 = 11
1/10 + 4/5
1/10 + 8/10 = 9/10
11 + 9/10 = 11 9/10
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer: Answer: The answer should be 11 9/10.
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answer:
What graph
The time taken by the shipping company to pack 180 boxes is 15 hours.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The given graph is the direct relation and has a constant proportion as,
Book packed/hour = 60/5 = 12
With this constant of proportionality,
For 180 boxes,
180/hour = 12
Hour = 15
Hence "It takes the shipping business 15 hours to pack 180 cartons".
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Missing data shown below,
n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.
Answer:
(2n + 1)(n + 3) + (2n + 1)(n - 2)
= (2n + 1)(n + 3 + n - 2)
= (2n + 1)2n + 1)
= 4n² + 4n + 1
= 2(2n² + 2n) + 1
can see 2(2n² + 2n) is a multiple of 2 but 1 isnt a multiple of 2
=> 2(2n² + 2n) + 1 is not a multiple of 2
=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2
Step-by-step explanation:
Four years ago, Sam invested in Grath Oil. She bought three of its $1,000 par value bonds at a market price of 93.938 and with an annual coupon rate of 6.5%. She also bought 450 shares of Grath Oil stock at $44.11, which has paid an annual dividend of $3.10 for each of the last ten years. Today, Grath Oil bonds have a market rate of 98.866 and Grath Oil stock sells for $45.55 per share. Use the scenario above to consider which statement best describes the relative risk between investing in stocks and bonds.
Answer:
C. The market price of the bonds is more stable than the price of the company's stock.
Step-by-step explanation:
In the context, Sam bought some bonds at the market price from Grath Oil and also invested in buying corporate shares which paid a dividend of $3.10 for each share annually for a period of ten years.
At present the market value of the bonds of Grath Oil is more. The market price of the bond is the amount of the money to be paid in an open market to buy a bond.
So the bond's market price is much more stable than the price of the company's stock. It is riskier to invest in company stocks.
Answer:
ik you dont need it no mo but its c
Step-by-step explanation:
i just want the points
what type of number is -3? A.rational. B. irrational C. whole number D. natural
Answer:
whole number
Step-by-step explanation:
its not a decimal and its not a fraction
8^1/3 dived by 5^-2
Please help
Answer:
50
Step-by-step explanation:
(8^1/3) /(5^-2)
(2)/(0.04)
50
Add 19 to ‘a’ and divide the sum by 5, you will get 8
Answer:
a = 21
Step-by-step explanation:
Given
[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )
a + 19 = 40 ( subtract 19 from both sides )
a = 21
what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism
Answer:
A) rectangular prism
Explanation:
The base is a rectangle, not a pentagon nor hexagon. So B and D are out.
The difference between a prism and a pyramid is the shape.
Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.
There is no pointy top on the object, so it is a rectangular prism.
12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *
Help me lol I don’t wanna fail .
Answer:
15.08 if u round but it's really 15.079
Plz quick can some one help me with these two questions also plz show working out
I'm more than 9 dozen and less than the number of days in 4 months. The sum of my digits is 11.
Answer: 92 or 119
in 4 months, 2 months with 30 days per month, 2 months with 31 days per month
suppose: the number to find is X
have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122
if X is a number has 2 digits => X is xy
=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]
=> xy = 92
if X is a number has 3 digits => X is abc
we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]
because 100 ≤ abc < 122 => a = 1; b = 0 or 1
+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)
+) if a = 1, b = 1 => c = 9
=> abc = 119
=> X is 92 or 119
Step-by-step explanation:
what is 7-(2x+1)+4x simpilist form