Answer:
m = 32
Step-by-step explanation:
-4(2m-7) = 3(52 - 4m)
-8m + 28 = 156 - 12m
-8m + 12m = 156 - 28
4m = 128
m = 32 Ans...
The required solution is m = 32 to the given equation −4(2m − 7) = 3(52 − 4m).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given an equation as
⇒ -4(2m-7) = 3(52 - 4m)
Apply the distributive of multiplication,
⇒ -8m + 28 = 156 - 12m
Rearrange the terms of m in the above equation,
⇒ -8m + 12m = 156 - 28
Apply the subtraction operation,
⇒ 4m = 128
Divided by 4 both sides of the equation, we get
⇒ m = 32
Therefore, the solution is m = 32 to the given equation −4(2m − 7) = 3(52 − 4m).
Learn more about the equation here:
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#SPJ2
Find the area of this semi-circle with diameter, d = 20cm. Give your answer as an expression in terms of π
Please make sure it's in terms of π !
Answer:
[tex]50\pi {cm}^{2} [/tex]
Step-by-step explanation:
Area of a circle is
[tex]a = \pi \times {r}^{2} [/tex]
Diameter = 20cm therefore the Radius = 10cm.
First we must find the area of the whole circle. All we need to do is plug in.
[tex]a = \pi \times {r}^{2} \\ a = \pi \times {(10)}^{2} \\ a = \pi \times 100 \\ a = 100\pi[/tex]
The area of the WHOLE circle is 100pi
A semi circle is HALF a circle, so what is the area of the semi-circle?
All you must do is divide the Whole circle into two
[tex]100\pi \div 2 \\ 50\pi[/tex]
Make sure to add back our units.
[tex]50\pi {cm}^{2} [/tex]
Brainliest Appreciated
Question
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
Answer:
63
Step-by-step explanation:
60% of $100 is just %60 and 5% of 60 is 3 so, 60 + 3 = $63
Answer:
$45
Step-by-step explanation:
So, first we would find 60% of the $100
100 x .60 = 60
(When finding the amount of a percentage we move the decimal over twice)
then subtract what we got from the original price to find what he paid before tax:
100 - 60 = 40
Now we find 5% of $100:
100 x .05 = 5
Finally, we add this to what he was paying before taxes:
40 + 5 = 45, so $45
Hope this helps!! :)
what is the expression for nine times the difference of a number and four ?
Answer:
-30
Step-by-step explanation:The answer is -30. Hope this helps.
A tool box has the dimensions of 10 in by 7 in by 4 in. If Anna plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n > 29 n - 7. 2 Greater-than-or-equal-to 29 7. 2 - n < 29 n - 7. 2 < 29.
The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is
[tex]7.2-n > 29[/tex]
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to [tex]\leq[/tex] or greater than equal to [tex]\geq[/tex].
Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.
The number seven and two tenths can be written as,
[tex]7\dfrac{2}{10}[/tex]
Suppose the unknown number is n. Now, the differences of seven and two tenths, and this number (n) is more than twenty-nine. The more than word means, the greater than sign for equation. Thus, it can be expressed as,
[tex]7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29[/tex]
Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is
[tex]7.2-n > 29[/tex]
Learn more about the inequality equation here:
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Jeremy earns a weekly salary at his job. In addition, he earns an hourly rate based on the number of overtime hours he
works. The coordinate grid below shows the relationship between the number of hours of overtime Jeremy works and the
total amount of his earnings.
OVERTIME EARNINGS
Earnings (dollars)
800
700
600
500
400
300
200
100
<
0 1 2 3 4 5 6 7 8
Number of Overtime Hours
Which statement best describes the function?
A The function is linear and it decreases continuously.
B The function is linear and it increases continuously.
The function is non-linear and it increases continuously.
The function is non-linear and it decreases continuously.
Answer:
it is C
Step-by-step explanation:
( a+ b) ( a- b) ( a square + 4 square )
Answer:
[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]
Explanation:
[tex]\sf ( a+ b) ( a- b) ( a^2 + 4^2)[/tex]
expand
[tex]\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)[/tex]
simplify
[tex]\sf (a^2-b^2 ) ( a^2 + 16)[/tex]
expand
[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]
Solution:
Note that:
Given expression: (a + b)(a - b)(a² + 4²)Formula: (a + b)(a - b) = a² - b²
Simplify the expression using the formula.
(a + b)(a - b)(a² + 4²)=> {(a + b)(a - b)}(a² + 4²)=> (a² - b²)(a² + 16)=> a⁴ + 16a² - a²b² - 16b²Florian ran 1. 2 miles and walked 4. 8 laps around the path at the park for a total distance of 3. 6 miles. Which shows the correct equation and value of x, the distance of 1 lap around the path at the park? 3. 6 x 1. 2 = 4. 8; x = 1 mile 4. 8 x 1. 2 = 3. 6; x = 1 mile 3. 6 x 1. 2 = 4. 8; x = 0. 5 mile 4. 8 x 1. 2 = 3. 6; x = 0. 5 mile.
The correct equation and value of x, the distance of 1 lap around the path at the park is 4.8x + 1.2 = 3.6. Then the correct option is B.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.
This is because lap will be dependent on the variable, we know that the number of them will be multiplied by the variable x we also know that 1.2 miles are constant. Now the equation will be
4.8x + 1.2 = 3.6
Thus, the correct option is B .
More about the Linear system link is given below.
https://brainly.com/question/20379472
Tiffany compared the graph of y = 7x + 2 to the graph of the linear function
shown in the table.
What is the distance, in units, between the y-intercepts of the two
functions?
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ., and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a
decimal
Answer:
0
Step-by-step explanation:
so we first have to find the ummmm the slope intercept form for the graph
sooo we must get two points and use the equation y2 - y1/ x2 - x1
(4,15) and (6, 31)
31 - 15/ 6 - 4
16/2
8
sooo rn its:
y = 8x + b
now to find the y-intercept we have to input a point we did NOT use yet.
(8, 47)
47 = 8(8) + b
47 = 64 + b
b = 47 - 64
b = -17
the equation for the table is
y = 8x - 17
soo the y-interecept is when x is 0 so we have to use the equation y2 - y1/ x2 - x1 to find the distance
sooo
(0, 17) [for the table] and (0, 2) [from the equation y = 7x + 2)
17 - 2/0-0
15/0
0
ummm i tried my best here because im learning about something different and i hope this helps you and i hope this is correct!
Which model shows 1/3 times 1/2
Answer:
the answer is 1/6
Hey there!
=> [tex] \frac{1}{3} \times \frac{1}{2} [/tex]
we multiply the denominators which are 3 and 2
=> [tex] \frac{1}{3 \times 2} [/tex]
=> [tex] \frac{1}{6} [/tex]
Therefore, 1/3 × 1/2 = 1/6
What lengths would allow you to calculate the volume of the oblique pyramid with a square base? Check all that apply.
The lengths would allow you to calculate the volume of the oblique pyramid with a square base area as follows;
AB and EF
AC, CB, and EF
AD, DB, and EF
What is the volume of the oblique pyramid with a square base?An oblique pyramid is one that has a top not aligned with the base.
The volume of the oblique pyramid with a square base is equal to;
[tex]\rm Volume = \dfrac{1}{3} \times Base \times Height[/tex]
The area of the base is;
[tex]\rm Base =EF^2 \\\\\Height =AB[/tex]
The lengths would allow you to calculate the volume of the oblique pyramid with a square base area as follows;
AB and EFAC, CB, and EFAD, DB, and EFTo know more about the volume of the pyramid click the link given below.
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Answer:
A, B, D
Step-by-step explanation:
Edge 2022
Ya'll FR get 50 points if you answer this question.
Answer:
positively correlated
Step-by-step explanation:
positive correlation: as x increases, y increases
negative correlation: as x increases, y decreases
no correlation: no discernible relationship between variables
The stronger the correlation, the closer the points are to a straight line.
Ben earned $58.80 last week and donated $7.35 to charity. What percent of the money earned did Ben donate? Show your work please thank you
Answer:
4.32%
Step-by-step explanation:
you divide 7.35 ÷ 100 = 0.0735, then multiply 0.0735 × 58.80 = 4.32%
Solve the system by substitution.
y = -5x - 40
y = 5x
Step-by-step explanation:
I hope this helps...........
The play area of a park is shown.
Find the area of the figure.
Answer:
334 feet
Step-by-step explanation:
Area of small triangle: 6*3=18
Area of big triangle: 7*12=84
Area of tall rectangle: 20*6=120
Area of second rectangle: 14*8=112
18+84+120+112=334
Answer:
334ft2
Step-by-step explanation:
6x20=120
6x6x0.5=18
14x8=112
14x12x0.5=84
120+18+112+84=334
At the end of a snow storm, Cameron saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Cameron's lawn, in inches, tt hours after the snow stopped falling. The table below has select values showing the linear relationship between tt and S.S. Determine how many hours it would take for the depth of snow to reach 8 inches.
Answer:
A Winter Storm Warning is in effect for all of Western New York through Friday morning/afternoon depending on where you live.
The combination of falling temperatures and increasing snowfall rates will cause extremely slippery roads through the Friday morning commute.
Snowfall rates will be near an inch per hour at times and there will be some blowing and drifting snow. This will reduce visibility, adding another layer of difficulty to the already messy drive.
All across WNY visibility is not great. As we approach rush hour, keep this in mind.
Plan for extra time (double the usual), make sure your lights are on, and leave space between you and the car in front of you! There is nothing worse than tailgaters in a snowstorm.
Step-by-step explanation:
hope it helps
Four eighths of Kelly's beads are red,
1
8
are white, and the rest are blue.
What fraction of Kelly's beads are blue? pls answer quick
Answer:
3/8
Step-by-step explanation:
because 4/8 are red , 1/8 are white… (which is 5/8 now)
the remaining would be 3/8
If you check your work, the total would be 8/8
A car is purchased for $18,000. After each year, the resale value decreases by 35%. What will the resale value be after 5 years?
Use the calculator provided and round your answer
the nearest dollar.
Answer:
It should be $4,943.25
Solve each system using substitution.
y = 2x
6x - y = 8
3x + 5y = 2
x + 4y = -4
Answer for 50 BRAINLIST!!!
Answer:
[tex](2, 4)\rightarrow\text{First system}[/tex]
[tex](4, -2)\rightarrow\text{Second system}[/tex]
Step-by-step explanation:
First system:
We can substitute 2x for y:
[tex]6x-y=8\\6x-2x=8\\4x=8[/tex]
Divide both sides by 4
[tex]x=2[/tex]
Substitute 2 for x to solve for y:
[tex]y=2x=2(2)=4[/tex]
[tex](x, y)=(2, 4)[/tex]
Second system:
We can isolate x in the second equation by subtracting 4y from both sides:
[tex]x=-4-4y[/tex]
Now, substitute this value for x in the first equation:
[tex]3(-4-4y)+5y=2\\[/tex]
Distribute the 3 to each term in the parentheses:
[tex]3(-4)+3(-4y)+5y=2\\-12-12y+5y=2\\-12-7y=2[/tex]
Add 12 to both sides:
[tex]-7y=14[/tex]
Divide both sides by -7
[tex]y=-2[/tex]
Now, substitute -2 for y to solve for x:
[tex]x=-4-4y=-4-4(-2)=-4+8=4[/tex]
[tex](x, y)=(4, -2)[/tex]
Lloyd has a PIN number for his bank card.
It consists of 4 digits that satisfy the following:
• The digits in the number are all the same.
• The number is even.
• The number is a multiple of 3.
What is Lloyd’s PIN number?
(1 mark)
Answer:
6
Step-by-step explanation:
6 is a multiple of three with only itself
What is the geometric mean of 4 and 12?
Answer:
6.9282
Step-by-step explanation:
I can't give a step by step sorry
Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y − 1 = 0 x2 y2 − 4x 4y − 10 = 0 x2 y2 − 8x − 6y − 20 = 0 4x2 4y2 16x 24y − 40 = 0 5x2 5y2 − 20x 30y 40 = 0 2x2 2y2 − 28x − 32y − 8 = 0 x2 y2 12x − 2y − 9 = 0.
Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
Lets arrange the first equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2[/tex]
The radius of this circle is √(3).
Lets arrange the second equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 4x+ 4y - 10 = 0 \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2[/tex]
The radius of this circle is √(18).
Lets arrange the third equation, in standard form of equation of circle as,
[tex]x^2 +y^2 - 8x - 6y - 20 = 0 \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2[/tex]
The radius of this circle is √(45).
Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.
Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.
Learn more about the equation of circle here;
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Answer:
1) → 5) → 2) → 4) → 3) → 7) → 6)
Step-by-step explanation:
Solve for v: -19v = -133
Answer:
v=7
Step-by-step explanation:
[tex]-19v=-133\\v=\frac{-133}{-19}\\ v=7[/tex]
Hope this helps!
edit:
When -19v = -133, you have to get v alone.
This means you have to remove the -19 from the front of the v
To do this, you divide by the -19(the coefficent)
When you divide, you must divide from both sides, and thus you will get:
[tex]v=\frac{-133}{-19}[/tex]
The negative signs cancel out, and result in [tex]\frac{133}{19}[/tex]
From there, you just calculate it and you get 7.
:3
What is the value of y in the equation 4(5y − 8 − 2) = 185 − 15? 8. 5 9. 7 10. 5 42. 5.
Answer:
10.5 is the answer
Step-by-step explanation:
4(5y−8−2)=185−15
(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)
20y+−32+−8=185+−15
(20y)+(−32+−8)=(185+−15)(Combine Like Terms)
20y+−40=170
20y−40=170
20y−40+40=170+40
20y=210
20y/20=210/20
y=21/2
y=10.5
please do thisss for meee
Answer:2016 i think sry if its wrong
Step-by-step explanation:
which expression is equivalent to 16w^2+24w+9
Answer:
(4w+3)^2
Step-by-step explanation:
rewrite in exponential form
4^2w^2+24w+9
write as a product with the factors 4w and 3
4^2w^2+2 x 4w x 3 + 3^2
calculate
(4w)^2 + 2 x 4w x 3 + 3^2
factor using a^2+2ab+b^2 = (a+b)^2
(4w+3)^2
Estimate the product 584 x 822. Round each factor to the nearest hundred.
Answer:
480,000
Step-by-step explanation:
584 rounded to the nearest hundred = 600
822 rounded to the nearest hundred = 800
⇒ 800 x 600 = 480,000
Actual product of 584 and 822 = 584 x 822 = 480,048
HELP ASAP
Point P is on a unit circle. Solve for the coordinates of P. Show your work and explain the steps you used to solve. Round your answer to the nearest thousandth.
Answer: (-0.707, 0.707)
Step-by-step explanation:
Which of these expressions is equivalent to log(25 • 18)?
A. 25 • log(18)
B. log(25) – log(18)
C. log(25) + log(18)
D.log(25) • log(18)
Nobody had this one
Answer:
C. log(25)+log(18)
Step-by-step explanation:
This is because the log rules say when you multiply logs with the same base you can essentially add them.
Simplify The Following
Answer:
i think this would help
