Is 1/8 -10(3/4-3/8x) + 5/8x equivalent to -1/8(59 -35X)

Answers

Answer 1

Yes, The expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]

Explanation:

The given expression is [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex]

Solving, we get,

[tex]\frac{1}{8} -\frac{30}{4}+\frac{30}{8}x+\frac{5}{8} x[/tex]

Adding the similar terms, we have,

[tex](\frac{1}{8} -\frac{30}{4})+(\frac{30}{8}x+\frac{5}{8} x)\\[/tex]

[tex]\frac{1-60}{8} +\frac{35}{8}x[/tex]

Adding, we get,

[tex]-\frac{59}{8} +\frac{35}{8}x[/tex]

Taking out the common term [tex]-\frac{1}{8}[/tex] , we have,

[tex]-\frac{1}{8} (59-35x)[/tex]

Thus, the expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]


Related Questions

A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
V = one-third pi (7 squared) (4) feet cubed
V = one-third pi (4 squared) (7) feet cubed
V = 3 pi (7 squared) (4) feet cubed
V = 3 pi (4 squared) (7) feet cubed

Answers

Answer:

V = one-third pi (4 squared) (7) feet cubed

Step-by-step explanation:

Volume of cone v = 1/3×π(r²h)

r = 4 and h = 7

V = 1/3 × π(4²×7)

Answer:

B

Step-by-step explanation:

Which would be a reasonable first step in solving the equation 6(x+4)=75

Answers

Answer:

x = 8 3/6

Step-by-step explanation:

6(x+4) = 75

6X+24 = 75

     -24 = -24

   6x -0 = 51

   6x/6  = 51/6

       x    = 8 3/6

The first step in solving equation is divide by 6 both side and x = 8.5.

What is simplification?

To simplify simply means to simplify something. Simply or simplification in mathematics refers to simplifying an expression, fraction, or problem. By writing the fraction in its simplest or lowest form and canceling all common factors from both the numerator and denominator, it simplifies fractions and makes the problem easier to solve.

Given 6(x + 4) = 75

divide both side by 6

(6(x + 4))/6 = 75/6

x + 4 = 12.5

subtract 4 from both sides

x + 4 - 4 = 12.5 - 4

x = 8.5

Hence value of x is 8.5 and first step in solving the equation is divide by 6.

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8. An 18-foot ladder is placed 5 feet from a wall. How far up the wall does the ladder
reach?

Answers

Answer: is it 13 feet up?

A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working

Answers

Final answer:

To determine the probability of drawing one red bead and one white bead from a bag, calculate the probability of each sequence (red then white, white then red) occurring and add them together. The result is that the probability that one bead of each color is taken is 4/11.

Explanation:

To find the probability that one red bead and one white bead are taken from a bag containing 7 red beads and 4 white beads (11 beads in total), we follow these steps:

Calculate the probability of drawing one red bead first and then one white bead.

Calculate the probability of drawing one white bead first and then one red bead.

Add the probabilities from step 1 and 2 together to find the total probability of drawing one bead of each color.

The probability of drawing one red bead first is 7/11 since there are 7 red beads out of 11 total beads.

After drawing a red bead, there are now 10 beads left in the bag, with 4 being white. So, the probability of drawing one white bead next is 4/10.

Multiplying these two probabilities gives us the probability of this particular sequence occurring: (7/11) * (4/10) = 28/110, which reduces to 2/11 when simplified.

We do a similar calculation for the reverse sequence, where a white bead is drawn first followed by a red bead. The probability for the first white bead is 4/11, and for the red bead after that, it's 7/10 since one white bead is already taken.

Multiplying these probabilities gives us: (4/11) * (7/10) = 28/110, which also simplifies to 2/11.

Finally, to find the total probability we add the probabilities of both sequences together: 2/11 + 2/11 = 4/11.

So, the probability that one bead of each color is taken is 4/11.

the altimeter in a plane

Answers


Conventional aircraft altimeters work by measuring the atmospheric pressure at the airplane's flight altitude and comparing it to a preset pressure value. ... The appearance of altimeters varies, but a common one is known as a three-point altimeter.

number 24 only A B C and D

Answers

Answer:

a) V = 288 - h

b) (0,288)(1,276)(2,264)(3,252)(4,240)

c) graph the above point

d) Volume decreases as height increases

Step-by-step explanation:

Step 1 :

a)

The given equation is V = 12(24-h)

Using the distributive property we have

V= 12*24 - 12 * h = 288-h

b)

The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values

When h = 0 ,V= 288 -0= 288

When h = 1 ,V= 288 -12*1= 276

When h = 2 ,V= 288 -12*2= 264

When h = 3 ,V= 288 -12*3= 252

When h = 4 ,V= 288 -12*4= 240

Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)

Step 3 :

The above points can be graphed using the values of h in the x axis and the values of V in the y axis

Step 4:

The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24

Which is a simplified form of the expression -9(g + 2) – (g + 2)? A. -10g + 2 B. -10g – 2 C. -10g + 20 D. -10g – 20

Answers

Answer:

-10 (g + 2) thus a:)

Step-by-step explanation:

Simplify the following:

-9 (g + 2) - (g + 2)

-9 (g + 2) - (g + 2) = -10 (g + 2):

Answer: -10 (g + 2)

3(-3a-1) what is the answer if you answer it correct you get 10 points​

Answers

Answer: the best answer is 3(-3a-1)

Step-by-step explanation:

what is 5 times 5
and also what is 5 plus 5 bc im rly silly

Answers

Answer:

5 x 5 = 25 and 5 + 5 = 10

Step-by-step explanation:

You multiply 5 Five times.

So you get 5,10,15,20,25!

The answer is 25

You add 5 two times.

So you get 5 plus 5!

5,6,7,8,9,10!

The answer is 10

Hope this helped!

~Oreo!!

Answer:

5x5=25

5+5=10

Step-by-step explanation:

Anna departs from the city A with coordinates (1, 1) towards city B with coordinates (9, 11). At the same time, Mary departs from city B towards city A. Find the coordinates of point C, where Anna and Mary meet, if the ratio of Anna to Mary's rates is 3:5 respsectivley

Answers

Answer:

  C = (4, 4.75)

Step-by-step explanation:

Point C will divide segment AB into the ratio 3:5, matching the respective rates of travel. Then the location of point C can be found from ...

  C = (5A +3B)/(3+5)

  C = (5(1, 1) +3(9, 11))/8 = (5 +27, 5 +33)/8 = (4, 4.75)

The point where Anna and Mary meet is (4, 4.75).

Answer:

4, 4.75

Step-by-step explanation:

if 8 and 15 are two smallest values in a pythagorean triple, what is the largest value, c, in the triple

Answers

Answer:

c = 17

Step-by-step explanation:

Use the Pythagorean Theorem to solve this problem.

The equation is a² + b² = c².

"a" and "b" are the length of the two shorter sides or values.

"c" is the length of the longest side or value, also the hypotenuse.

Since we know the two smaller values, we can replace "a" and "b" with 8 and 15. It does not matter which letter you decide to replace with which number.

Then simplify and  isolate "c" to find the largest value.

a² + b² = c²

8² + 15² = c²         Substitute "a" and "b". Square the numbers to simplify

64 + 225 = c²        Add to simplify

289 = c²        

√289 = √c²        Square root both sides

√289 = c      "c" will be isolated because √ and ² are reverse operations

c = √289    Put 'c' on the left side for standard formatting.

c = 17           Answer

Therefore the largest value, c, is 17 in the triple.

Final answer:

Using the Pythagorean theorem, a² + b² = c², we find that the largest value in the Pythagorean triple with the smallest values 8 and 15 is 17.

Explanation:

If 8 and 15 are the two smallest values in a Pythagorean triple, we can use the Pythagorean theorem to find the largest value, often denoted as c, in the triple. The formula for the Pythagorean theorem is a² + b² = c². Solving for c gives us c = √(a² + b²).

Using 8 as a and 15 as b, we can substitute these values into the equation:

c = √(8² + 15²)

c = √(64 + 225)

c = √289

c = 17

Therefore, the largest value in the Pythagorean triple is 17.

What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?

Answers

Answer:

a^2-9ab+3ab^2

Step-by-step explanation:

Solved on paper so i can't show work but I did it properly i swear

Answer:

if you found this off edge its Option B

Step-by-step explanation:

I need 152 pencils and each pencil cost $2.00 each box comes with 5 pencils each.how many pencils will it take to get 152

Answers

For this case we have that each pencil box has 5 pencils, so:

[tex]\frac {152} {5} = 30.4[/tex] pencil boxes, this can be rounded to 31 pencil boxes.

On the other hand, if we have each pencil cost $2 then:

[tex]152 * 2 = 304[/tex]

Thus, the 152 pencils cost $304

Answer:

31 pencil boxes

152 pencils cost $304

Which best describes the range of the function f(x) = 2(one-fourth) Superscript x after it has been reflected over the y-axis?

all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answers

"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex], where

a is the initial value (value f(x) at x = 0)b is the growth/decay factorThe domain of the function is {x : x ∈ R} (all real numbers)The range of the function is {y : y > 0} (all positive real numbers)

∵ [tex]f(x)=2(\frac{1}{4})^{x}[/tex]

- Compare it with the form above

∴ a = 2 ⇒ initial value

∴ b = [tex]\frac{1}{4}[/tex] ⇒ decay factor because its between 0 and 1

∵ The domain of the function is the values of x

∴ The domain of the function is {x : x ∈ R} ⇒ all real numbers

∵ The range of the function is values of y

∴ The range of the function is {y : y > 0}

∵ Reflection over the y-axis change the sign of x

∴ The image of f(x) is [tex]y=2(\frac{1}{4})^{-x}[/tex]

- That means, all x-coordinates of the points on the graph

   opposite in signs, but that does not effect the domain

   because the domain is all real numbers

∵ There is no change of the sign of y

- That means reflection over y-axis does not effect the range

∴ The range of the function after reflection is the same as the

    range of f(x)

∴ The range of the image of f(x) is {y : y > 0}

"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis

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Answer:

C

Step-by-step explanation:

edge 2020

find the greatest common factor of 3y^2 -4y

Answers

Answer:

y.

Step-by-step explanation:

y  is common to both terms so the GCF is y.

Factoring we get:

y(3y - 4).

Answer:

Step-by-step explanation:

3y^2 = 3 * y *y

4 y = 4 * y

GCF = y

3y^2 -4y = y*(3y - 4)

A turboprop plane flying with the wind flew 400 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the plane in calm air and the rate of the wind.

Answers

Answer:

Rate of the plane in calm air is  90 miles/hr and rate of the wind of wind is 10 miles/hr

Step-by-step explanation:

Average speed of plane in with wind = 400 /4 = 100 miles/hr

Average speed of plane against wind = 400/5 = 80 miles/hr

Consider the speed of plane in wind be  x miles/hr and speed of plane against wind  be  y  miles/hr

As such speed of plane in wind would be  x + y miles/hr and speed of plane  against wind would be  x - y miles/hr . i.e

x+y = 100

x-y = 80

by solving these two equation, we get

2x=180

x= 90 miles/hr

y=100-90

y= 10 miles/hr

hence, Rate of the plane in calm air is  90 miles/hr and rate of the wind of wind is 10 miles/hr

10. Write an equation in slope-intercept form for a line that is parallel to the line
y= 2/5x +1

Answers

If two lines are parallel to each other, then they have the same slope, but different y-intercepts.

So any y-intercept works basically

You could do y=2/5x+2 if you wanted or y=2/5x-7 or something like that

Hope this helped.

A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.

Answers

Answer:

958.88925

Step-by-step explanation:

the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 891.99 times 0.75= 66.89925+891.99=958.88925. might need to be simplified tho, hope this helps

Consider the function f(x)=√2x−6. If f−1(x) is the inverse function of f(x), find f−1(−4).


Answers

Final answer:

To find the inverse function f−1(x) for f(x)=√(2x−6), we first express f(x) as y, swap x and y, remove the square root by squaring both sides, solve for y, and substitute -4 into the new expression. This calculation reveals that f−1(-4) is 11.

Explanation:

To find the value of f−1(-4) for the function f(x)=√(2x−6), we need to find the value of x such that f(x) equals -4. Here is how to find the inverse function:

First, replace f(x) with y: y = √(2x−6).Next, swap x and y to begin finding the inverse: x = √(2y−6).Square both sides to eliminate the square root: x² = 2y − 6.Rearrange the equation to solve for y: 2y = x² + 6.Divide both sides by 2: y = (x² + 6)/2.This new y is actually f−1(x), the inverse function.

To find f−1(-4), substitute -4 into the inverse function:

y = ((-4)² + 6)/2

y = (16 + 6)/2

y = 22/2

y = 11

Therefore, f−1(-4) = 11.

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To find f−1(−4) for the function f(x) = √(2x − 6), solve for x in terms of y, square both sides, solve for x, and then substitute the value to find that f−1(−4) equals 11.

To find the value of f−1(−4) for the function f(x) = √(2x − 6), follow these steps:

Solve for x in terms of y by setting y = f(x):
y = √(2x − 6)

Square both sides to eliminate the square root:
y2 = 2x − 6

Solve for x:
x = (y2 + 6) / 2

Replace y with x to get f−1(x):
f−1(x) = (x2 + 6) / 2

Now, find f−1(−4):
f−1(−4) = (−42 + 6) / 2 = (16 + 6) / 2 = 22 / 2 = 11

Thus, the value of f−1(−4) is 11.

How do you use a calculator

Answers

Answer

Push in the numbers you want to find the answer to and click the equal sign.

Answer:

First, you get a calculator or open a calculator app on you computer. Second, you press in any number you like. Ex. 125. (There are limits of how many digits can go in a calculator). Third, You press symbols on the calculator. Ex. %, - + etc. Fourth, You press the equals sign. ( = ) You can add numbers and symbols on your total. Warning: If you want a quotient with a remainder, don't use a calculator. It'll give you a decimal. Not a quotient with a remainder.

I hope this helps and could you give me the brainiest if possible? Thanks. : )

Step-by-step explanation:

3x+6y=24 turned into a graphing equation ​

Answers

Answer:

Step-by-step explanation:

3x + 6y = 24

6y = -3x + 24

y = -3/6x + 24/6

y = -1/2x  + 4 <=====

Your answer is y=-1/2x+4

Jeff has ten packages that he wants to mail. Nun identical packages weigh 2 7/8 pounds each. A tenth package weighs two times as much of one the nine packages. How many ponds do all packages weigh?

Answers

Answer:31.625

2 7/8 8 times 9 =25.875 +(2.875 times 2) =31.625

What percent of $4 equals $1

Answers

Answer:

25%

Step-by-step explanation:

25% is 1/4(one-fourth)

4 dollars times 1/4 is 1 dollar.


Which expression is equivalent to -2(3a + 6b) + (4a - 2b)?
A) -2(a + 7b)
B) -2(a - 7b)
C) 2(a + 7b)
D) 2(a - 7b)

Answers

Answer:

Option A) -2(a+7b) is correct

Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)

The equivalent expression to the given expression is -2(a+7b)

Step-by-step explanation:

Given expression is -2(3a+6b)+(4a-2b)

To find the equivalent expression to the given expression :

-2(3a+6b)+(4a-2b)

=-2(3a)-2(6b)+4a-2b ( apply the distributive property a(x+y)=ax+ay )

=-6a-12b+4a-2b

=-2a-14b ( adding the like terms )

=-2(a+7b) ( taking common term -2 outside  )

Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)

The equivalent expression to the given expression is -2(a+7b)

Therefore option A) -2(a+7b) is correct

so the right option is A.

HOPE THIS WILL HELP U.

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The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of flour, and 5/2 cup of chocolate chips. What is the total number of cups of ingredients needed in making chocolate cookies?

Answers

Answer:

[tex]\frac{51}{8}[/tex] cups.

Step-by-step explanation:

It is given that the ingredients for making chocolate cookies are [tex]\frac{3}{4}[/tex] cup of brown sugar, [tex]\frac{1}{4}[/tex] cup of white sugar, [tex]\frac{3}{2}[/tex] cup of butter, [tex]\frac{11}{8}[/tex] cup of flour, and [tex]\frac{5}{2}[/tex] cup of chocolate chips.

Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.

So, it will be given by

[tex](\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2})[/tex] cups

= [tex]\frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8}[/tex] cups

= [tex]\frac{51}{8}[/tex] cups. (Answer)

A circle has a diameter of 7.6feet. Which measurement is the closest to the circumference of the circle in feet.​

Answers

Answer:

23.9

Step-by-step explanation:

A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?

TRUST ME

Four research teams each used a different method to collect data on how
fast a new brand of paint dries. Assume that they all agree on the sample size
and the sample mean (in minutes). Use the confidence level; confidence
interval) pairs below to select the team that has the smallest sample
standard deviation.
O
A. Confidence Level: 99.7%; Confidence Interval: 42 to 48
B. Confidence Level: 95%; Confidence Interval: 40 to 50
O
C. Confidence Level: 95%; Confidence Interval: 35 to 55
D. Confidence Level: 68%; Confidence Interval: 44.5 to 45.5

Answers

Answer:

Option D.

Step-by-step explanation:

Recall that the wider the confidence interval, the greater the variability.

In other words, wider confidence interval will have bigger sample standard deviation.

For option A, the width is |48-42|=6

For option B, the width is |50-40|=10

For option C, the width is |55-35|=20

For option D, the width is |45.5-44.5|=1

Therefore the team in option D has the smallest sample standard deviation.

As for the confidence level, it is just telling us the extent to which we confidence that, the parameter is within the interval

Answer: D

Step-by-step explanation:

(4,0) reflected across x axis and y axis

Answers

Answer:

The x axis is horizontal (sideways) while the y axis is vertical (up and down)

Step-by-step explanation:

Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?




A $750,000
B $75,000
C $15,000
D $1,500

Answers

The answer is
B $75,000

are y=2x+6 and 6t=2x+9 perpendicular

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+9 y = 2 x + 9 must have a slope that is the negative reciprocal of the original slope.

Missing: 6t= ‎| Must include: 6t=

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