Answer:
r=32/7
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)
1/2r+3/2r+-2=1/4r+6
(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)
2r+-2=1/4r+6
2r-2=1/4r+6
Step 2: Subtract 1/4r from both sides.
2r-2-1/4r=14r+6-14r
7/4r-2=6
Step 3: Add 2 to both sides.
7/4r-2+2=6+2
7/4r=8
Step 4: Multiply both sides by 4/7.
(4/7)*(7/4r)=(4/7)*(8)
r=32/7
Answer: r=32/7
hope this helps :)
Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob
Answer:
0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].
Step-by-step explanation:
10/25 =0.4
Hope this helped :D
how would a one-fifth in numbers be?
Solve the simultaneous equations.
You must show all your working.
2x+1/2y =13 ---its 1 devided by 2
3x +2y = 17
Answer:
I hope it solve the problem
help solve 90 please
Answer:
c=263
Step-by-step explanation:
help pls . .. a a z z z z . zz
Answer:
the lines are perpendicular
helpp ill mark u as brainlist
Answer:
Proportional graph
Step-by-step explanation:
It is proportional because as the x increases, the y also increases. It maintains the same rate of change.
Answer:
non pro becuase it dont pass the origin
Step-by-step explanation:
Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3
Answer:
x = 3
Step-by-step explanation:
y = 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (3, 5) with x- coordinate 3 , thus
x = 3 ← equation of perpendicular line
Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer: Everyone would get about 7 pizzas
Step-by-step explanation:
I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.
Factor 125q^6 − r^6s^3.
Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.
Answer:
(0,0) (1,4) See the explanation below for the graph.
Step-by-step explanation:
f (0) = 4 x 0 = 0
f (1) = 4 x 1 = 4
(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/989117
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
solve for x: 1/2(x-10)=3/4(x+20)
Answer:
x = -80
Step-by-step explanation:
[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]
A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>
Answer: 4:1
Step-by-step explanation:
Divide by two to get in simplest form.
80 ÷ 2 = 40
20 ÷ 2 = 10
Make a ration with 40 and 10.
40:10
Make 40:10 simpler by dividing by 10.
40 ÷ 10 = 4
10 ÷ 10 = 1
Make 4 and 1 into a ration.
4:1
Answer:
4 : 1
Step-by-step explanation:
Given the ratio
80 : 20 ← divide both parts by 20
= 4 : 1 ← in simplest form
What is the measure of Z?
what's the question ???
Help!! !!!!! What’s the answer?
Answer:
1296m^2
Step-by-step explanation:
12m = 1cm per square
3 squares • 3 squares = 36 • 36 = 1296
Hope this helps! :)
Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?
Answer:
The number that she will substitute is 7
Step-by-step explanation:
Mathematically, simple interest can be calculated using the formula ;
S.I = PRT/100
where P is the principal which is the amount invested = $12,876
T is the time which is 3 years
and R is the rate which is 7%
Answer:
Answer:
The number that she will substitute is 7
Step-by-step explanation:
i just took he test
ARF HELP PLS RN jdsodjksldkdks
A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
right triangle?
Answer:
Depends if you are averaging C or not.
Step-by-step explanation:
Use the pythagorean theorem to solve this.
c = √a^2 + b^2
A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.
Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?
Answer:
y=6x-4
Step-by-step explanation:
for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4
4(2x-3)=52
Solve please sends fast
Answer:
[tex]\boxed {x = 8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4(2x - 3) = 52[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]2x - 3 = \frac{54}{4}[/tex]
[tex]2x - 3 = 13[/tex]
-Add both sides by [tex]3[/tex]:
[tex]2x - 3 + 3 = 13 + 3[/tex]
[tex]2x = 16[/tex]
-Then, divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{16}{2}[/tex]
[tex]\boxed {x = 8}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]8[/tex].
What is the equation of this line?
Y= 2x - 3
y=-x-3y = -2x - 3
y = x - 3
Answer: y=2x-3
Step-by-step explanation:
It will cross the y axis at -3 and the x axis at 3/2
write an expression for a number that is 5 times greater than 2
For pre-algebra class
Please help thanks i need it thanks a lot for helping me thank you alot
Answer:
x = 5x > 2
or just 5x > 2 ya its that
Step-by-step explanation:
Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down
Answer:
The object coordinate Q is (-11,3 )
Step-by-step explanation:
The translation is given as : ( 6,-2 )
The image coordinates for Q' is ( -5,1 )
So, to get the coordinates of object point Q (x,y), will be;
Q (x,y) + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )
Thus,
x+6 = -5
x= -5-6= -11
and
y+ -2 = 1
y-2=1
y=1+2 =3
Thus the object point coordinates Q is (-11,3 )
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]
z=b+ma, for a PLS ASAP
Answer:
a= b+m/2
Step-by-step explanation:
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
To learn more on Percentage click:
https://brainly.com/question/28269290
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5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation: