Answer:
13 and 27
Step-by-step explanation:
y= x+14
x+y=40
x+ x+14=40
2x+14=40
40-14=26
so, 2x=26
26/2
=13
so, x=13 and
and y equal 40-13
y=27
In a survey, out of all the people surveyed, 160 of them (or 26%) said they wanted a new park built for the city. How many people were surveyed?
Answer:
41.6 or 42
Step-by-step explanation:
1% of 160 is 1.6. now if you do 1.6 x 26(1% of 160 26 times)= 41.6. or you can round up to 42.
round to 2 SF 0.95205.
Answer:
0.95
Step-by-step explanation:
The points after the decimal place are SF (significant figures/digits)
Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
Factor the given expression using the GCF monomial.
Factor the given expression using the difference of squares.
Factoring an expression involves rewriting the expression in simpler forms
The factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]
Factor using GCF monomialThe expression is given as:
[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]
Factor out the common factors
[tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex]
Factor using the difference of two squaresThe expression is given as:
[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]
Rewrite as a difference of two squares
[tex](6a^2b^5)^2 - (9a^8b^{10})^2[/tex]
Express as difference of two squares
[tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]
Hence, the factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]
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How many solutions does the system have? {y=−2x 2y=x2−3x Enter your answer in the box.
By solving given equation and then finding discriminant we get that this system of equations have 2 solutions
What is system of equations?Collection of two or more equations with a same set of unknowns is called system of equations.
Given equation
[tex]$$y=-2 x+2\ \ ...(1)\\\\y=x^{2}-3 x$$\ \ \ ...(2)[/tex]
From equation (1) and (2)
[tex]x^{2}-3 x=-2 x+2\\\\x^{2}-3 x+2 x-2=0\\\\x^{2}-x-2=0[/tex]
This is a quadratic equation
So discriminant
[tex]D=b^2-4ac[/tex]
[tex]D=(-1)^2-4(1)(-2)\\D=1+8\\D=9[/tex]
As D is >0 so we will get two values of x
and two values of y corresponding to values of x
By solving given equation and then finding discriminant we get that this system of equations have 2 solutions
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does anyone have the answer for this i don't know if I'm right since I've been absent and missed half the lesson. I need it asap!
Answer:
Step-by-step explanation:
x = 20%
y = 3/4 x 64
= 16 x 3
= 48
answer is
Step-by-step explanation:
x = 20%
y = 3/4 x 64
= 16 x 3
= 48
18 divided by (9-12divided by 4. )
Answer:
24
Step-by-step explanation:
here's how I did it:
first, start in parentheses, following the order of operations, PEMDAS.
12 - 9 = 3
now, divide 3 by 4.
3 / 4 = 0.75 ( 3 quarters )
lastly, divide the sum of the numbers in the parentheses by 18.
18 / 0.75 = 24
A decimal that is equal to the fraction 3/5?
Answer:
0.6
Step-by-step explanation:
i hope this helps! have a wonderful rest of ur day :)
Answer:
0.6
Step-by-step explanation:
pls pls pls help me i need this fast
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
Of the first 200 toys manufactured by a toy company 21 were defective To the nearest whole number what percent of toys were defective
Answer:
10.5%
Step-by-step explanation:
.105 x 200 = 21
If f(x)=4x^(4)+5x^(2)+4, then what is the remainder when f(x) is divided by x+2 ?
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.
A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches
Answer:
a and b
Step-by-step explanation:
for A just do 3*4
For B just find out what 36*4 is
The sum of three consecutive numbers is ninety - three
What is the smallest of the three numbers ?
Answer: 30
Step-by-step explanation:
Let the middle number = x. Then the three consecutive numbers are x - 1, x, and x + 1.
Therefore, x - 1 + x + x + 1 = 93
3x = 93
x = 31.
The smallest of the 3 numbers is x - 1 = 31 - 1 = 30
At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get? What proportion could be used to solve this problem?
Answer: 6
Step-by-step explanation:
2 free books7 purchased books=? free books21 purchased booksCompare the denominators.2 free books7purchased books=? free books21purchased booksTo get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.2 free books37 purchased books3=6free books21 purchased booksLarry got 6 free books
Square ABCD is similar to square EFGH. The ratio of AB:EF is 1:4. The area of square EFGH is 14,000ft^2. What is AB?
Answer: 5sqrt(35)
Step-by-step explanation:
If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.
This means the area of square ABCD is 14000/16 = 875.
Therefore, AB=sqrt(875)=5sqrt(35).
6) An expression is given.
X2+zx-12
The expression can be written as (x+q) (x+r) where q, r, and z are integers.
What are possible integer values or q, r, and z?
Expressions are mathematical statements without the equation sign
The possible integer values of q, r, and z are 3, -4 and -1
How to determine the values of the integersThe expressions are given as:
x^2 + zx - 12
(x + q)(x + r)
Both expressions are equal.
So, we have:
[tex]x^2 + zx - 12 = (x + q)(x + r)[/tex]
Expand
[tex]x^2 + zx - 12 = x^2 + (q + r)x + rq[/tex]
By comparison, we have:
[tex]q + r = z[/tex]
[tex]rq = -12[/tex]
Assume that q = 3.
So, we have:
[tex]3r = -12[/tex]
Divide by 3
[tex]r = -4[/tex]
Recall that:
[tex]q + r = z[/tex]
So, we have:
[tex]z = 3 -4[/tex]
[tex]z = -1[/tex]
Hence, the possible integer values of q, r, and z are 3, -4 and -1
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Brody's farm borders a river. He buys 1000 meters of fencing. What dimensions
maximize the area of the farm?
A.) 500 m x 250 m
B.) 750 m x 250 m
C.) 200 m x 300 m
D.) 100 m x 800 m
Answer:
A. 500 m x 250 m
Step-by-step explanation:
Answer:
the answer is A.
Step-by-step explanation:
I took the test, heheh. sorry, I don't actually have an explanation.
Sophie buys milk and vegetables at the grocery store. She spends $3.29 on milk and has a total bill of $15.56. Write and solve an equation to determine how much Sophie spent on the vegetables.
Answer: $12.27
Step-by-step explanation:
She spent a total of $15.56
Vegetables cost $12.27
Milk cost $3.29
Subtract the total bill by the amount of the milk and you have the total for the vegetables which is $12.27
Which of the following sets contain only rational numbers?
Answer:
Option BStep-by-step explanation:
Option A
One of the numbers is not rational √50 = 5√2, since √2 is irrationalOption B
All numbers are rationalOption C
18π is irrational since π is irrationalOption D
0.1234... is irrational as non-terminating and non-repeating decimalSimplify (a½ - b½)(a½ + b½)
Answer:
a - b
Step-by-step explanation:
Assuming you mean: [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]
Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:
[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]
Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :
[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]
The list shows the number of songs that five students each downloaded last week.32, 43, 38, 28, 51What is the mean absolute deviation of the numbers in the list
Answer:
Its 38.4
Step-by-step explanation:
What is the product?
Answer:
the last option: 6x^3 -33x^2 +45x - 6
Step-by-step explanation:
Distribute parentheses
= 3x times 2x^2 + 3x (-7x) +3x times 1 -6 times 2x^2 -6 (-7x) -6 times 1
Simplify
3x times 2x^2 +3x (-7x) +3x times 1 -6 times 2x-2 -6 (-7x) -6 times 1
Answer:
6x^3 -33x^2 +45x - 6
May someone help me giving up to 15 points
Answer:
1. 8.2
2. 6*8.2 = 49.2
An item on sale costs 95% of the original price. If the original price was $20, what is the sale price?
one number is 8 more than a second number. 4 times the first is 8 less than 6 times the second. find the numbers
The numbers are 20 and 28.
Step-by-step explanation:
Let the number be X and y,
X = 8 + y
4x = 6y - 8
Now,
4x = 6y - 8
or, 4(8 + y) = 6y - 8
or, 32 + 4y = 6y - 8
or, 32 + 8 = 6y - 4y
or, 2y = 40
so, y = 20
now,
X = y + 8 = 20 + 8 = 28
3x + 2y = 7
y=-3x + 11
O
(6, -7)
° (
19
4,
2
(6,-3)
o
(5, -4)
help both a and b please explain how to do it that would help me out a lot so please help me with it
Answer:
F(5, 7)Step-by-step explanation:
Part AFind the equation of AB using the coordinates of the endpoints:
A(- 1, - 1), B(2, 3)Find the slope:
m = (3 - (-1)) / (2 - (-1)) = 4/3Use one of the points and point-slope equation to get the line:
y - 3 = 4/3(x - 2)y - 3 = 4/3x - 8/3y = 4/3x + 3 - 8/3y = 4/3x + 1/3Now find the y - coordinate of F when x is 5:
y = 4/3*5 + 1/3y = 20/3 + 1/3y = 21/3y = 7Part B can't be solved as the picture is unclear
Use place-value blocks or a drawing to divide. Record remainders. 51 / 4
Answer:
12.75
Step-by-step explanation:
The first number, 51, is called the dividend.
The second number, 4 is called the divisor.
Please helpp 25 points pls
Answer:
It is either A or B But I think/ Believe it is A
Step-by-step explanation:
Have a good day =)
What are all the steps to solving a Quadratic Formula? (steps please)
Compose the quadratic condition in standard shape, ax2 + bx + c = 0. Recognize the values of a, b, c. Write the Quadratic Equation. At that point substitute within the values of a, b, c. Simplify. Check the arrangements.
86%86, percent of senators support a bill.
What fraction of senators support the bill?
Answer:
The fraction can be written as 43/50
Step-by-step explanation:
Place the Percentage Value at the top over 100.
= 86/100
On reducing the fraction, we get the exact form: 43/50
Answer:
43/50
Step-by-step explanation:
Place the Percentage Value at the top over 100.
= 86/100
On reducing the fraction, we get the exact form: 43/50
