Answer:
Step-by-step explanation:
Let the number be 'x'
[tex]\dfrac{x}{6}-10=2\\\\\\Add \ 10 \ to \ both \ sides\\\\\\\dfrac{x}{6}=2+10\\\\\\\dfrac{x}{6}=12\\\\Multiply \ both \ side \ by 6\\\\\\x=12*6\\\\x=72[/tex]
2)
[tex]\dfrac{1}{7}+x=\dfrac{2}{3}x\\\\\\x - \dfrac{2}{3}x=\dfrac{-1}{7}\\\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=\dfrac{-1}{7}\\\\\\\dfrac{1}{3}x=\dfrac{-1}{7}\\\\\\\x=\dfrac{-1}{7}*3\\\\\\x=\dfrac{-3}{7}[/tex]
3)-3(v + 25) = 111
Use distributive property
-3v + (-3)*25 = 111
-3v - 75 = 111
Add 75 to both sides
-3v = 111+ 75
-3v = 186
Divide both sides by (-3)
v = 186/(-3)
v = -62
Write a linear function f with f (2)=-2 and f (1)=1
Answer:
Step-by-step explanation:
f(2) = -2 means that one of the coordinates of this line is (2,-2)
f(1) = 1 means that another coordinate of this line is (1, 1)
This is because the general notation is f(x) = y
Now we use the equation y = mx + b, where we can find the slope, m, and then plug in one of the points to solve for the y-intercept, b
m = y2 - y1 / x2 - x1
m = 1 - (-2) / 1 - 2
m = -3
Arbitrarily choose one of the two coordinates to plug in to find the y-intercept. I chose (1,1) here:
1 = -3(1) + b
b = 4
Therefore, the linear function is y = -3x + 4, or f(x) = -3x + 4
What is the solution to the following system of equations? (1 point) 4x + 2y = 18 x − y = 3 (−4, −1) (1, 4) (−1, −4) (4, 1)
Answer:
D. (4,1)
Step-by-step explanation:
I took the test
the ratio of boys to girls is 3:4 if there are 48 girls, what is the total number of sixth graders
Answer:
84
Step-by-step explanation:
The 4 part of the ratio relates to 48 girls, then
48 ÷ 4 = 12 ← value of 1 part of the ratio , then
3 parts = 3 × 12 = 36 ← number of boys
total number of students = 48 + 36 = 84
Which postulate or theorem proves the triangles below are congruent?
Answer:
he
Step-by-step explanation:
he
SAS - We have two sides (the small lines indicate this) and the angles across from each other (vertical angles) are congruent. This means the triangles are proven congruent by the SAS Congruence Postulate.
Knowing this, we can say that AAS and ASA also apply, but as it is not known until we have SAS, I believe SAS is the only "correct" answer.
(HL does not apply here as we do not have right-triangles)
Have a nice day! :)
y- 5- 2x
0
1
2
3
4
5
i don’t get this plz help!
Answer:
y-5-2x quad y-5-2x
Step-by-step explanation:
y-5-2x
Help, please.
A painter painted about half a room in half a day. Coley estimated the painter would paint 4 rooms in 4 days. Is Coley's estimate reasonable? Complete the explanation.
Answer:
not reasonable, half of a room per day, and 2 rooms, I hope this helps:)
On a blank sheet of paper, construct two intersecting lines. Measure the four angles that the intersecting lines have created. What do you notice about the measure of the angles? Construct another pair of intersecting lines. Measure the four angles that these lines have created. What do you notice about the measures of these angles? Can you make a generalization about intersecting lines and the measures of angles that they form?
Answer:
Step-by-step explanation:
ICUP IN A CUP LICK IT AI
The equation y = -4x - 1 has a slope of __________
and a y-intercept of _______________
Answer:
Step-by-step explanation:
The general equation of any line is y = mx + b
m = slope
b = y intercept
m = - 4
b = - 1
he equation y = -4x - 1 has a slope of ___-4_______
and a y-intercept of _______-1________
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPs and FedEx to cost the same? Give an equation also.
QUIT TAKING MY STUFF DOWN
Answer:
The answer is 20 pounds.
Step-by-step explanation:
Let p represent the number of pounds.
UPS charges $7 for the first pound, and $0.20 for each additional pound.
7 + 0.20p
FedEx charges $5 for the first pound and $0.30 for each additional pound.
5 + 0.30p
To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.
7 + 0.20p = 5 + 0.30p
7 - 5 = 0.30p - 0.20p
2 = 0.10p
p = 20
Hence, it will take 20 pounds to make both equal.
The graph of Y=|x| is transformed as shown in the graph below. Which equation represents the transformed function?
Answer:
A
Step-by-step explanation:
The first thing you need to do is find the slope. Find two perfect points.
In this case I chose (0,0) and (4,1). Slope is basically rise over run. In other words, how much you go up, and how much you go right. We rise up one and to the right 4.
what is the square root of 4
Answer:
√4 = 2
Because 2 × 2 = 4
If you want to get square root of any number find the number which you can multiply two times to give you that certain number
please help Use the order of operations to simplify 1/9×3^3−2(1/6+2/3)?
Answer: 1 1/3
Step-by-step explanation:
1/9×3^3 - 2(1/6 + 2/3) = 4/
3
= 1 1/
3
≅ 1.3
Answer:
4/3
Step-by-step explanation:
1/8(3³)- 2(1/6+2/3)
4. Find the value of x.
68°
X
Answer:
x = 68 degrees
Step-by-step explanation:
This is an isosceles triangle: two of the legs are of equal length. Therefore the measures of the angles opposite these sides are also equal. If one is 68 degrees, then the other must also be 68 degrees.
m∠A = 40º
m∠B = 5xº
Write an equation when Angle A and Angle B are supplementary angles (Supplementary angles equal 180°). Solve the equation for x, showing your work. What is the measure of Angle B?
3.3-5.7n-3n+5
Help me
Answer:
8.3 -8.7n
Step-by-step explanation:
Maybe you want to simplify this expression.
First of all, recognize it is a sum of four terms. We use "sum" in the general sense, where the things being added can be positive or negative.
3.3
-5.7n
-3n
5
Two of these terms are regular decimal numbers: 3.3 and 5. They can be added together without any fuss: 3.3 +5 = 8.3.
The other two terms are products. One of the factors of the product is a constant, called the "coefficient" of the term. The other factor is the letter n, called a "variable".
You may recall that multiplication is a way to write repeated addition:
3×6 = 6 +6 +6
The factor 3 in this example tells you how many times 6 is included in the sum. We can combine such sums:
(3×6) + (2×6) = (6 +6 +6) +(6 +6) = (3+2)×6 = 5×6
If you replace 6 with n, the same thing is true:
3n +2n = (3+2)n = 5n
That is, we can combine terms containing n by adding their coefficients.
__
Your simplification problem then can be written as ...
3.3 -5.7n -3n +5
= (3.3 +5) +(-5.7n -3n) . . . . . . "like" terms are grouped together
= 8.3 +(-5.7-3)n
= 8.3 -8.7n
Luis wants to buy a skateboard that usually sells for $79.35. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent
Answer:
The total cost of the skateboard is 75.58881, rounded, it's $75.59.
Step-by-step explanation:
Since the merchandise is discounted by 12%, this means there's a decrease in price.
We need to convert our discount to a decimal, 0.12, and then multiply it by the original price. So,
$79.35 × 0.12 = 9.522
Then we subtract: $79.35 - 9.522 = 69.828
Since we have to pay a sales tax of 8.25%, we need to convert that into a decimal, 0.0825, and then multiply the sales tax by 69.828. So,
69.828 × 0.0825 = 5.76081
Now we add 5.76081 to our price, 69.828, which is 75.58881. 75.58881 rounded to the nearest hundredth is 75.59.
The angles of elevation to an airplane from two points A and B on level ground are 58° and 76°, respectively. The points A and B are 2.1 miles apart, and the airplane is east of both points in the same vertical plane. Find the altitude of the plane. (Round your answer to two decimal places.)
Answer:
90
Step-by-step explanation:
45x2=90
Write an equation in slope intercept form for a line that is (a) parallel (b) perpendicular to the line y = 3x-5 and has a y-intercept of 6.
Step-by-step explanation:
Given line:
y = 3x - 5We are looking for a parallel and a perpendicular line to the given with a y-intercept of 6.
a)
Parallel lines have equal slopes:
y = 3x + 6 is the parallel lineb)
Perpendicular lines have negative-reciprocal slopes:
y = -1/3x + 6 is the perpendicular lineAre the ratios 15:20 and 3:4 equivalent yes or no
Answer:
Yes they are equivalent.
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 4 and 20 is 20
Next, find the equivalent fraction of both fractional numbers with denominator 20
For the 1st fraction, since 4 × 5 = 20,
3
4
=
3 × 5
4 × 5
=
15
20
Likewise, for the 2nd fraction, since 20 × 1 = 20,
15
20
=
15 × 1
20 × 1
=
15
20
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
15
20
=
15
20
or
3
4
=
15
20
Yes, we can say that the ratio 15 : 20 and 3 : 4 are equivalent.
What are ratios?The ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit.
Equivalent ratios are the ratios that are the same when we compare them.
Therefore, for ratios of 15 : 20 and 3 : 4, for them to be equivalent, they must have thesame value.
15 : 20 = 15/20
divide through by 5
= 3/4 = 3 :4
Therefore , we can say that ratios 15 : 20 and 3 : 4 are equivalent.
learn more about ratios from
https://brainly.com/question/12024093
#SPJ3
Bob is buying the soccer team snacks after their game today. 8 players want cookies and 5 players want ice cream cones. If ice cream cones cost $1.25 each and cookies cost $1.75 each, how much will Bob spend on snacks for the team?
pls show steps
Answer:
$20.25
Step-by-step explanation:
8*1.75=x
x=14
5*1.25= y
y=6.25
x+y=20.25
Heres the question uhhhhhhhhhhhhhhhh help me pls
Answer and step-by-step explanation:
Put 25 at the top
Put 3 at the left
Put ? in the middle
Answer:
9
Step-by-step explanation:
Granny has 25 apples but only 3 can fit into a basket if there were 8 baskets you can put 3 into each basket. This would be 8x3 which equals 24 apples. But Granny would have 1 apple left over so you would need another basket. Therfore in total you would need 9 baskets
Convert the fraction into a percentage.
3⁄5 =
%
Answer:
3/5 = 60%
Step-by-step explanation:
3/5 x 100 = 3 x 20 = 60%
Hoped this helped.
Divide 3 by 5 then multiply by 100:
3 / 5 = 0.6
0.6 x 100 = 60%
Answer 60%
can someone pls pls pls help
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
AB = [tex]\sqrt{[(4-(-4)]^{2} - [1-(-3)]^{2} }[/tex] = 4[tex]\sqrt{3}[/tex]
The surface area of a right circular cone is 15π in.. The cone is enlarged by multiplying both the radius of the base and the slant height by 4. What is the surface area of the new cone?
A. 80π in.
B. 120π in.
C. 60π in.
D. 240π in.
Can you pless add the process
Answer:
The surface area of the new cone is 240π inches² ⇒ answer D
Step-by-step explanation:
If the two cones are similar, then:
1. t1/t2=l1/l2=constant ratio
2. S.A1/S.A2=(R1/R2)^2
3. V1/V2=(R1/R2)3
The surface area of a right circular cone is 15π inches²
The cone is enlarged by multiplying both the radius of the base and the slant height by 4
The two cons are similar
R1/R2=1/4
The surface area of a right circular cone is 15π inches²
S.A1/S.A2=(R1/R2)^2
SO
15π/S.A2=(1/4)^2
15π/S.A2=1/16
By using cross multiplication:
15πX16=S.A2X1
240π=S.A2
The surface area of the enlarged cone = 240π inches²
The surface area of the new cone is 240π inches²
HOPE THAT HELPS!!
Select the two statements that are true about the equation y−10=60(x−40).
a. The slope of the line is 10.
b. The slope of the line is 60.
c. One point on the line is (40, 10).
d. One point on the line is (10, 60).
Answer:
Options B and C
Step-by-step explanation:
The point-slope form of linear equations is y - y₁ = m(x - x₁) where: m = slope, and (x₁, y₁) represents a point on the line.
In reference to the definitions provided regarding the point-slope form: Given the linear equation, y - 10 = 60(x - 40):
The slope, m = 60, and one of the points (x₁, y₁) is represented by (10, 40).
Therefore, the correct answers are: Options B and C.
damian dilates PQR shown on the coordinate grid with a scale factor of 0.5 centered at the origin. then he translate the 1 unit up and 3 units to the right to from P' Q' R' what are the coordinates of the vertices P' Q' R'
Transformation involves changing the size and position of a shape.
The coordinates of P'Q'R' follows the transformation rule [tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
First PQR is dilated by 0.5.
The transformation rule of this dilation is:
[tex]\mathbf{(x,y) \to 0.5(x,y)}[/tex]
This gives
[tex]\mathbf{(x,y) \to (0.5x,0.5y)}[/tex]
Next, the points are translated 1 unit up and 3 units right.
The transformation rule of this translation is:
[tex]\mathbf{(x,y) \to (x-3,y+1)}[/tex]
So, we have:
[tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
Hence, the coordinates of P'Q'R' follows the transformation rule [tex]\mathbf{(x,y) \to (0.5x-3,0.5y+1)}[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
write the equation of the line from the given information. through (-3,5) & (4,-2)
Answer:
y = -x + 2
Step-by-step explanation:
(-3,5) and (4,-2)
Slope: (-2-5)/(4 - - 3) = -7/7 = -1
y-intercept= -2 - (-1)(4) = -2 + 4 = 2
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
5
Step-by-step explanation:
does not equals it differs
11. Find the Domain and Range of the following: (6.-1) (-2.2) (18,-1) (-2,3) Domain: Range: Is this relation a function?
Answer:
solution,
R={(6,-1),(-2,2),(18,-1),(-2,3)}
domain={6,-2,18}
range={-1,2,3}
domain:range is the relation a function…
Note:-
Domain is the input.Range is the output.If an relation be (x,y) then x is the domain ,y is the range .Solution:-
[tex]\\ \sf\longmapsto D_f=\{6,-2,18\}[/tex]
[tex]\\ \sf\longmapsto R_f=\{-1,2,3\}[/tex]
No it's a relation not function
This wording is so weird. Why are there two maximums and minimums. What does “first maximum and minimum” mean? Which one should I use to solve for amplitude? Please help.