Answer:
A
Step-by-step explanation:
y=3x-2
or 3x-y=-2
any eq. of line perpendicular to it is
x+3y=a if it passes through (-2,3), then
-2+3(3)=a
a=7
so x+3y=7
or 3y=-x+7
y=-1/3 x+7/3
5(7x+8y) simplified
Answer:
35x+40y
Step-by-step explanation:
1. expand the terms by multiplying 5 by what's inside the parenthesis, so multiply by 7x and 8y and add them. So you get 35x+40y
Answer:
35x +40y
Step-by-step explanation:
5(7x+8y)
Distribute
5*7x + 5*8y
35x +40y
What is the solution to the equation
X/6 = 4/12
X=1
x= 2
x=4
x = 6
Answer:
x = 2
because we have the same question and i got it right its hard to explain but trust me its x = 2
The solution to the given equation is 2. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x/6 = 4/12.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, x/6 = 4/12
By cross multiplication, we get
12x=24
⇒ x=2
The solution to the given equation is 2. Therefore, option B is the correct answer.
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Parvin often cleans the dishes with her mother she can clean 17 plates in 10 minutes how many plays country clean in different amounts of time
Show the following conjectures are false by finding a counterexample.
13. All prime numbers are odd.
14. If the product of two numbers is positive, then the two numbers must both be positive.
15. If the sidewalk is wet, then it has been raining.
''All prime numbers are odd."
That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.
14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.
What type of graph is this?
not a regular graph
a regular graph
Find mZPQR.
help asap
======================================
Work Shown:
Angle PQR = (far arc - near arc)/2
2x+72 = ( (2x+252) - (2x+108) )/2
2x+72 = 144/2
2x+72 = 72
2x = 72-72
2x = 0
x = 0/2
x = 0
-------------
Angle PQR = 2x+72
Angle PQR = 2(0)+72
Angle PQR = 72 degrees
Simplify the following expression: a + 2c − 5b − c + a − b 2a − 6b + 2c 2a − 6b + c a − 6b + c a − 5b + 2c
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Step-by-step explanation:
a+2c−5b−c+a−b2a−6b+2c2a−6b+ca−6b+ca−5b+2c
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
Combine Like Terms:
=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c
=(−ab2)+(2ac2)+(ac+ac)+(a+a)+(−5b+−6b+−6b+−6b+−5b)+(2c+−c+2c)
=−ab2+2ac2+2ac+2a+−28b+3c
Answer:
=−ab2+2ac2+2ac+2a−28b+3c
Answer:
B. 2a − 6b + c
Step-by-step explanation:
Took the test :)
5х + 10 = 24 + 6x – 3х
Answer:
Here, 5x + 10 = 24 + 6x - 3x
or, 5x + 10 = 24 + 3x ( 6x-3x )
or, 5x - 3x = 24 - 10
or, 2x = 14
or, x = 14/2
Hence answer is 7.
Please solve this, will rate 5 stars and mark as STAR!
Answer:
[tex]\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }[/tex]
[tex]\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}[/tex]
[tex]\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}[/tex]
[tex]\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }[/tex]
[tex]250=2 \cdot 5^3[/tex]
[tex]\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}[/tex]
Once
[tex]\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}[/tex]
We have
[tex]5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}[/tex]
We can proceed considering the common base of exponentials
[tex]\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}[/tex]
Therefore,
[tex]5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}[/tex]
Please solve. 6(3 + 8) - 4/5
G'Day mate! Here's the answer:
53 1/3
1. 6(3 + 6) - 4/5
2. 6 x 3 is 18, and 6 x 8 is 48
3. 18 plus 48 is 66
4. 66 - 4/5 = 266/5
5. 266/5 as mixed number is 53 1/5
Answer:
[tex]\Large \boxed{\frac{326}{5}}[/tex]
Step-by-step explanation:
[tex]\displaystyle 6(3 + 8) - \frac{4}{5}[/tex]
Solving brackets.
[tex]\displaystyle 6(11) - \frac{4}{5}[/tex]
[tex]\displaystyle 66 - \frac{4}{5}[/tex]
Subtract.
[tex]\displaystyle \frac{66}{1} - \frac{4}{5}[/tex]
[tex]\displaystyle \frac{66 \times 5}{1 \times 5} - \frac{4}{5}[/tex]
[tex]\displaystyle \frac{330}{5} - \frac{4}{5}[/tex]
[tex]\displaystyle \frac{330-4}{5}[/tex]
[tex]\displaystyle \frac{326}{5}[/tex]
please help :) Write the number shown in standard notation. 5.002 x 10 to the 7 power A. 5,002,000,000 B. 50,020,000 C. 5,002,000 D. 50,020,000,000
Answer:
Hey there!
That would be 50,020,000, and choice B would be correct.
Let me know if this helps :)
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?
Answer:
The base is 16 cm long.
Step-by-step explanation:
A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.
A = 1/2 * bh
32 = 1/2 * b * 4
32 = 2b
b = 16cm
At Little Rock School 476 students ride their bike to school. This is 85% of the total
students in the school. How many total students are in the school?
Answer:
560 students
Step-by-step explanation:
85/100=476
x= 476 x 100/85 x=560
Answer:c560 students is the answer your welcome!!!!!
Step-by-step explanation:
At a meeting of 3 representatives from each of 6 different companies, each person shook hands once with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place
Answer:
135
Step-by-step explanation:
From the given information:
The total number of handshakes can be represented by the combination of 18 combination 2, which can be mathematically expressed as:
[tex]\mathbf{^{18}C_2}[/tex] .
where;
[tex]\mathbf{^{18}C_2}[/tex] is the number of ways two people can shake themselves from a total of 28 people without much regard about the order of arrangement of the handshakes.
[tex]\mathbf{^{18}C_2 = \dfrac{18!}{2!(18-2)!}}[/tex]
[tex]\mathbf{= \dfrac{18!}{2!(16)!}}[/tex]
= 153
From these 6 companies, the possibility that there will be handshakes from within the company is [tex]\mathbf{^3 C_2}[/tex]
[tex]\mathbf{^3 C_2} = \dfrac{3!}{2!(3-2)!}[/tex]
[tex]= \mathbf{ \dfrac{3 \times 2!}{2!(1)!}}[/tex]
= 3
However, number of companies = 6
∴ the number of handshakes within companies = 3 × 6 = 18
But we are being told that :
If the representatives did not shake hands with people from their own company, how many handshakes took place
Therefore, the number of handshakes that took place in regard to the given criteria = 153 - 18
= 135
How do you solve this systems of equations problem
2r +3s=-5
6s=2r
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2r + 3s = - 5 → (1)
6s = 2r → (2) ( divide both sides by 2 ), then
r = 3s
Substitute r = 3s into (1)
2(3s) + 3s = - 5
6s + 3s = - 5
9s = - 5 ( divide both sides by 9 )
s = - [tex]\frac{5}{9}[/tex]
Substitute this value into either of the 2 equations and evaluate for r
Substituting into r = 3s, then
r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]
Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]
You roll a die 3 times, what is the probability that each time you will roll at least a 5?
Answer:
3/6
Step-by-step explanation:
given that is a = 3 , b = -4 and c = -2 evaluate 3a - b / 2c + 3a - c / c - b
Answer:
5.2
Step-by-step explanation:
= 3a - b / 2c + 3a - c / c - b
= 3(3) - (-4) / 2(-2) + 3(3) / -2 -(-4)
= 9 + 4 / -4 + 9 / -2+4
= 13 / 5 / 2
= 13 / 5 * 2
= 2.6 * 2
= 5.2
Answer:
Step-by-step explanation:
[tex]\frac{3a -b}{2c}+\frac{3a-c}{c-b}=\frac{3*3-[-4]}{2*(-2)}+\frac{3*3-[-2]}{-2-[-4]}\\\\=\frac{9+4}{-4}+\frac{9+2}{-2+4}\\\\=\frac{13}{-4}+\frac{11}{2}\\\\=\frac{-13}{4}+\frac{11*2}{2*2}\\\\=\frac{-13}{4}+\frac{22}{4}\\\\=\frac{-13+22}{4}\\\\=\frac{9}{4}\\\\=2\frac{1}{4}[/tex]
Write an expression to represent:
Eight more than the product of two and a number
x
xx.
Answer:
2x+8
Step-by-step explanation:
The mathematical expression will be;
⇒ 2x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Now,
Since, The algebraic expression is,
⇒ '' Eight more than the product of two and a number x''.
Hence, We get the mathematical expression as;
⇒ Product of 2 and number x = 2x
And, 8 more than 2x = 2x + 8
Thus, We get the mathematical expression as;
⇒ 2x + 8
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how do you solve this problem (x+5)²
Answer:
x = -5
Step-by-step explanation:
Solve for x:
(x + 5)^2 = 0
Take the square root of both sides:
x + 5 = 0
Subtract 5 from both sides:
Answer: x = -5
Which solid figure has 10 edges?
Answer:
The answer to this question is pentagonal prism or pentagonal pyramid.
14. If EF bisects CD, CG = 5x - 1, GD = 7x - 13, EF = 6x - 4, and GF = 13, find EG.
3. EF = 6-a. and Cr -13, cihad ES
Greetings from Brasil....
As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD
5X - 1 = 7X - 13
X = 6
EF = EG + GF
6X - 4 = EG + 13 x = 6, so
6·6 - 4 = EG + 13
EG = 19(see attachment)
Simplify. 1/2−3(1/2+1)^2
Answer:
-6.25
Step-by-step explanation:
The answer is -6.25.
36+x=12-3x
Plz help quick
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
36 + x - 36 = 12 - 3x - 36
x = -3x - 24
x + 3x = -3x - 24 + 3x
4x = -24
4x / 4 = -24 / 4
x = -6
Answer:
x = -6
Step-by-step explanation:
36 + x = 12 - 3x
We need all terms with x on the left side.
Add 3x to both sides.
36 + x + 3x = 12 - 3x + 3x
36 + 4x = 12
We need all terms that are just numbers on the right side. Subtract 36 from both sides.
36 - 36 + 4x = 12 - 36
4x = -24
We have 4x, which means 4 multiplied by x, on the left side. We want x alone. Divide both sides by 4.
x = -6
What is the area of a rectangle with side lengths of 5/12 foot and
2/3 foot?
Answer:
5/18
Step-by-step explanation:
Lets write an equation:
5/12*2/3=5*2/12*3.
5*2=10,
12*3=36.
10/36=5/18
The answer is 5/18.
Hope this helps!
George said that 6 x 10 to the 3 power is 180. do your Agree of Disagree? if you disagree explain the mistake he made and the correct answer. (HELP)
Answer:
The correct answer is 6000
Step-by-step explanation:
I disagree because 10 to the 3rd power = 1000 x 6 = 6000
The mistake he made was that George multiplied all of the number so, 6 x 10 x 3 = 60 x 3 = 180.
Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long
Answer:
See Explanation
Step-by-step explanation:
1.
Standard Form: 2 * 10^8
The number is expanded as follows:
[tex]10^8 = 100,000,000[/tex]
So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]
[tex]Expanded\ Form: 200,000,000[/tex]
Word Form: Two hundred million
2.
Standard Form: 3.5 * 10^7
The number is expanded as follows:
[tex]10^7 = 10,000,000[/tex]
So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 35,000,000[/tex]
Word Form: Thirty five million
3.
Standard Form: 9 * 10^9
The number is expanded as follows:
[tex]10^9 = 1000,000,000[/tex]
So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]
[tex]Expanded\ Form: 9,000,000,000[/tex]
Word Form: Nine billion
4.
Standard Form: 5.5 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]
[tex]Expanded\ Form: 55,000,000[/tex]
Word Form: Fifty five million
5.
Standard Form: 4.3 * 10^7
[tex]10^7 = 10,000,000[/tex]
So:
[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]
[tex]Expanded\ Form: 43,000,000[/tex]
Word Form: Forty Three million
need help ASP. find the inverse function of f(x)=3x-4
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
[tex]y = \frac{ x + 4}{3} [/tex]
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
[tex]y = \frac{x + 4}{3} [/tex]
Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
Solve for w -24=-3w+21
Answer:
w = 11.25
Step-by-step explanation:
To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.
w - 24 = -3w + 21
To do this, we should first add 24 to both sides of the equation.
w - 24 + 24 = -3w +21 + 24
If we simplify, we get:
w = -3w + 45
Next, we should add 3w to both sides of the equation.
w + 3w = -3w + 3w + 45
4w = 45
Finally, we can divide both sides by 4.
4w/4 = 45/4
w = 11.25
Hope this helps!
You Walked around a circle which has diameter of hundred metre how far you worked
Answer:
314.16 metres
Step-by-step explanation:
The answer to this problem is essentially just the circumference of the circle.
The circumference, or perimeter, is denoted by C = 2πr = πd, where r is the radius (and half the diameter) and d is the diameter.
Here, the diameter is 100 metres, so plug this in for d:
C = πd
C = π * 100 ≈ 314.16 metres
The answer is about 314.16 metres.
~ an aesthetics lover