Answers
7x+8y=32
Just do pemdas
Answer:
7x+8y=32
Step-by-step explanation:
Hi there!
We are given the following equation:
[tex]y=-\frac{7x}{8} +4[/tex]
And we want to convert it into standard form
Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative
a is the coefficient in front of x and b is the coefficient in front of y
Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.
[tex]y=-\frac{7x}{8} +4[/tex]
+[tex]\frac{7x}{8}[/tex] +[tex]\frac{7x}{8}[/tex]
_________________
[tex]\frac{7x}{8} + y =4[/tex]
Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).
We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.
[tex]8(\frac{7x}{8} + y) =8(4)[/tex]
Now doing the distributive property:
[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]
Multiply each term by 8.
7x + 8y = 32
Hope this helps!
Related Questions
Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.
Answers
Answer:
[tex]cos\theta=\frac{20}{29}[/tex]
Step-by-step explanation:
Problem:
[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]
Given:
[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]
Solve for adjacent side:
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+21^2=29^2[/tex]
[tex]x^2+441=841[/tex]
[tex]x^2=400[/tex]
[tex]x=20[/tex]
Final answer:
[tex]cos\theta=\frac{20}{29}[/tex]
The value [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.
Given that,
The value [tex]\rm Sin\theta[/tex] is 21/29,
Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].We have to determine,
The value of [tex]\rm Cos\theta[/tex]?
According to the question,
To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.
The formula of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
On comparing to the given value of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]
Here, Hypotenuse = 29, and Perpendicular = 21
Then,
The formula of [tex]\rm Cos\theta[/tex] is,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]
Let, the base be x,
The value of base finding by using Pythagoras theorem,
[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]
The value of the base is 20.
Therefore,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]
Hence, The value [tex]\rm Cos\theta[/tex] is 20/29.
For more details about Pythagoras theorem refer to the link given below.
https://brainly.com/question/13710437
If y varies directly as x, find y:
{(8, -12). (20, y)}
Answers
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answers
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answers
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
Jacob is incorrect.
(12+31)x5=215
Because of PEMDAS, parenthesis are the first thing you have to solve for. 12+31=43. 43x5=215.
12+31x5=167
You would have to do 31x5 first because of PEMDAS, multiplication comes before addition. 31x5=155. 12+155=167.
=
Let f(x) = 3x + 8, g(x) = 2x -12
and h(x) = -4x
=
1a) f + g =
1b) f-g=
2b) g*f=
2b) g-f=
Answers
Answer:
it's the 2nd one
Step-by-step explanation:
yeah it's the 2one
What is the value of the expression
Answers
Answer:
Option C) 5/8 is correct.
For explanation, Refer to the attachment.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Answer:
C
Step-by-step explanation:
Substitute the values for v and w into the expression.
[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )
= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]
= [tex]\frac{5}{8}[/tex] → C
Write equations for the horizontal and vertical lines passing through the point (4-1)
Answers
Answer:
y = - 1 , x = 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 1 ) with y- coordinate - 1 , then
y = - 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 1 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line
Solve the inequality-8≤3x-17<19
Answers
Answer: The answer is X∈[3,12).
Answer:
-8≤3x-17<19
-8+8 ≤ 3x - 17 + 8 < 19 + 8
0 ≤ 3x - 9 < 27
0 ≤ 3x - 9 + 9 < 27 + 9
0 ≤ 3x < 36
0 ≤ 3x / 3 < 36/3
0 ≤ x < 12
So x can be 0 or less than 12. A number between 0 and 12
E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answers
Answer:
6feet by 5feet by 4feet
7feet by 6feet by 4feet
8feet by 3feet by 7feet
Answer 75-82 pls it would be amazing!!!!!
Answers
Answer:
75-82=-7
Step-by-step explanation:
e
2y-7.4y=141.36
solve for y
Answers
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18
an equivalent expression to x-2y+3
Answers
Answer:
[tex]y=\frac{-x-3}{-2}[/tex]
Step-by-step explanation:
1. The first thing you should do is put it equal to 0:
[tex]x-2y+3=0[/tex]
2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:
[tex]x-2y+3=0[/tex]
-3 -3
[tex]x-2y=-3[/tex]
3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:
[tex]x-2y=-3[/tex]
-x -x
[tex]-2y=-x-3[/tex]
4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.
[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]
5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:
[tex]y=\frac{-x-3}{-2}[/tex]
Describe the transformation
Answers
Answer:
6 to the right
Step-by-step explanation:
Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).
someone please help this is due in 25 minutes
Answers
28=9x-8
36=9x
x=4
:) hope it helps!
how to find the legs of a right triangle with only the hypotenuse calculator
Answers
Answer:
The triangle must be an isosceles triangle so as to only get one measurement
Step-by-step explanation:
The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse
THE FORMULA: A square+b square=c square
The price of an item at the store can be defined by the variable w.
Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w
Answers
Answer:
C) 1.1w
D) 1.15w
E) 1.25w
Step-by-step explanation:
A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.
___
Choices A and B represent a markdown, or discount.
if f(x) = 2x-1 what is f(4)
Answers
find the value of x from the following figure
Answers
Then subtract 180 to angle QSP to get angle QSR because a straight line is 180
180 - 110
= 70
Then add all the given angles to the triangle subtract it to 180 because the sum of angles of a triangle is 180
70 + 40 + x = 180
x = 180 - 110
x = 70
Hope this helps
Brainliest and a like is much appreciated!
Answer: 70°
Oki so...
The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°
Line PSR is a straight line and a straight line angle is 180°
So, 180-110=70° (angle QSR)
Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°
Simply, 180-(40+70)
This comes 70. So x is 70°
There is a string of red and blue lights strung around
a window. The red lights blink every 3 seconds, and
the blue lights blink every 5
seconds. How many
times will they blink at the same time in one
minutes?
Answers
Answer:
4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4
Step-by-step explanation:
Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).
Answers
Answer:
y=x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-2)
m=2/2
m=1
y-y1=m(x-x1)
y-4=1(x-2)
y=x-2+4
y=x+2
Find two numbers that round to 387.4 when rounded to the nearest tenth.
Answers
1. 387.43 (.43 is closest to .4, not .5)
2. 387.41 (.41 is closest to .4, not .5)
hope this helps!
scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
A) 10.5
B) 20.9
C) 9.4
D) 18.7
Answers
The perimeter of a rectangle is 80 feet.
Find the dimensions if the length is 5 feet longer than four times the width.
Then find the area of the rectangle.
Answers
Answer:
l=33 feet
w=7 feet
Area= 231 feet
Step-by-step explanation:
at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?
Answers
Answer: 25%
Step-by-step explanation:
To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.
GIVING BRAINLIEST. please help!
Answers
Please find the surface area of the pyramid... I will mark you brainliest
Answers
Answer:
S.A. = 704 in²
Step-by-step explanation:
Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the perimeter of the base, and B is the area of the base .
Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256
S.A = 1/2 · 14 · 64 + 256
S.A. = 448 + 256
S.A. = 704 in²
how to graph equations using x and y intercepts
Answers
Answer:
uhhh maybe ( x + 2 ) = y
Step-by-step explanation:
i dont know im on break and I don forgot how to do this
What is the slope of the graph of
y= 5/2x+3?
-
Answers
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
13.9 ft
Step-by-step explanation:
Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answers
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b