Solve the following equation for x. 10=2-4(ax-3)

Answers

Answer 1

Answer:

[tex]x=\frac{1}{a}[/tex]

Step-by-step explanation:

10 = 2 - 4 (ax - 3)

10 = 2 - 4ax + 12

10 = - 4ax + 14

-4 = -4ax

1/a = x


Related Questions

BRAINLIEST AND 50 PTS PLS HELP! There are 1900 households in Ludington. 50 households were surveyed randomly regarding the number of adults living in their home, and the results are displayed in this table.

1 2 3 4 5 or more
13 27 7 1 2
How many households in Ludington would you expect to have 2 adults living in their home?

Enter your answer in the box.

households

Answers

Answer:

1026

Step-by-step explanation:

According to the table 27 out of 50 surveyed households have 2 adults living in their home.

Use same ratio to find the total expected number:

1900*27/50 = 38*27 = 1026

12a+7c=315
how to solve for/what is a?

Answers

Answer:
Well I mean There  are multiple solutions I think, a = 26.25

Step-by-step explanation:

Simplifying

12a + 7c = 315

Solving

12a + 7c = 315

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7c' to each side of the equation.

12a + 7c + -7c = 315 + -7c

Combine like terms: 7c + -7c = 0

12a + 0 = 315 + -7c

12a = 315 + -7c

Divide each side by '12'.

a = 26.25 + -0.5833333333c

Simplifying

a = 26.25 + -0.5833333333c

[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]

Please answer asap !!

Answers

Answer:

48 square units

Step-by-step explanation:

area of triangle = base * height / 2

base = x+1

height = 8x

area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x

area of rectangle = length * width = (5x+1)(x) = 5x²+x

set the two areas to be equal to each other

5x²+x = 4x²+4x

divide both sides by x as that is a multiple of each value on each side

5x + 1 = 4x + 4

subtract 4x from both sides to limit the variable to one side

x + 1 = 4

subtract both sides by 1 to isolate the variable

x = 3

area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units

-1/5 (-2 1/4) = what is it?

Answers

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

HELP ME PLEASE!!

Find the length of segment SV.

A)
13/2
B)
26
C)
5.2
13
D)
V2

Answers

Answer:

check photo for detailed analysis


I need help I don’t understand it what to do

Answers

x=17.1

by the pythagorean theorem,

a^2+b^2=c^2
6^2+16^2= c^2 (or x^2)
36+256=x^2
292=x^2
x=17.08 or 17.1

in x^3, x is called the __

Answers

Answer:

Either the variable or unknown number, it depends on what options you have.

15. The weight of an object on Earth is directly proportional to the weight of that same
object on the moon. A 200 pound astronaut would weigh 32 pound on the moon.
How much would a 50 pound dog weigh on the moon?

Answers

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

Determine the volume of cone. Use 3.14 for pi.

Answers

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Factor 6y^2(y^2+6y+9) completely.

Answers

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

There is a pile of football cards and a pile of baseball cards at a garage sale. The probability that you randomly choose a quarterback from the football cards is 1/15. The probability that you randomly choose a quarterback and a pitcher is 1/315. There are 6 pitcher baseball cards. How many baseball cards are in the pile?

Answers

6 baseball cards in a pile

Sophia made a table and a graph for the equation Y equals 4X Did Sophia make these items correctly? Select the true statement

Answers

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

you estimate that a kitten weights 15 pounds.

Answers

Answer:

Congrates

Step-by-step explanation:

Help me please I’ll give brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

Solve the equation    70 - 4x = 30 +4x    70 - 30 = 4x + 4x        40    =      8x             x  = 5

    2. Substitute the equation

Classroom A = 70 STUDENTSClassroom B = 30 STUDENTS.70 - 20  =  30 + 20   50   =   5020 students from classroom A in groups of 4 = 20 divide by 4.

                        = 5 groups.

What would happen if you put a digit in the wrong place value of a specific number

Answers

Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

If one cylinder is r=3 ft and the volume is 756 feet cubed, how do I find the volume of a larger cylinder with a radius of 7feet?

Answers

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

the volume of the smaller cylinder is [tex]V_{0} = 756\; {\rm ft^{3}}[/tex].the radius of the smaller cylinder is [tex]r_{0} = 3\; {\rm ft}[/tex].the radius of the larger cylinder is [tex]r_{1} = 7\; {\rm ft}[/tex].

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

he table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x. x 0 1 2 3 4 g(x) -11 -10 -8 -4 4 Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.

Answers

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

a
Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 5 percentage points and use a confidence level of 90%
Complete parts (a) and (b) below.
b. Assume that 23% of adults can wiggle their ears.
n
(Round up to the nearest integer.)
.

Answers

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

A chord divides a circle into ______ segments. one three four two

Answers

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Find the total amount of the mortgage if the closing costs are financed. 1. Jack and Dina King purchase a home with a mortgage loan of $420,000.​

Answers

The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

What are closing costs?

Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.

Some of the closing costs include:

Loan origination feesDiscount pointsAppraisal feesTitle searchesTitle insuranceSurveysTaxesDeed recording feesCredit report charges.

Question Completion and Calculations:

Closing costs:

Application Fee $252

Borrower’s Credit Check $65

Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)

Appraisal Fee $325

Title Search $212

Title Insurance $410

Inspection $350

Attorney Fee $450

Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)

Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)

Total closing costs = $16,344

Mortgage loan = $420,000

Total amount of financing required = $436,344 ($420,000 + $16,344)

Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Learn more about closing costs of mortgages at https://brainly.com/question/23894292

Compute the NPV for Project M if the appropriate cost of capital is 7 percent

Answers

Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

What is the NPV of Project M?

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

Find out more on Net Present Value at https://brainly.com/question/22785007.

Evan is thinking of a number that contains the digit 2. The digit 2 in Evan's number has 10 times the value of the digit 2 in the number 328,907.

Which number could be the number that Evan is thinking of?

127,905

145,298

290,837

352,987


HELP PLEASE!!!!!!

Answers

Answer:

The answer is 290,837

WILL MARK BRAINLIEST

Answers

Answer:

3x 10^4 NOT NEGATIVE! POSITIVE

6.4 divided by 27.04 spectrum math

Answers

Answer:

40/169

Step-by-step explanation:

Make stem and leaf plot

Answers

Answer:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself

Mr Davis buys 5 packages of package. Mr Wilson buys eight packs of packets of the b glue sticks use the equation to find the different and total of number of glue sticks that each person purchased​

Answers

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

Silas is a making a wildflower meadow with the dimensions shown. He plans to cover the entire meadow with a wildflower seed mix. One bag of wildflower seed mix covers 22 square yards and costs $12.79. How much will Silas spend on the wildflower seed mix? what is the cost?

Answers

Answer:51.16

I hope this works for you.

If sin^2 x - 2 sin x = 1, then sin x =​

Answers

Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

YOU KNOW THAT THE SUM OF THE ANGLES IN A QUADRILATERAL IS 360 DECREES. HOW CAN THIS HELP YOU REMEMBER THAT THE SUM OF THE ANGLES IN A TRIANGLE IS 180 DECREES?

pleaseeeee help

Answers

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

What does the sign of your answer (whether it is positive or negative) say about the area of the triangle at that moment?

Answers

Answer:

For ur information...

Area can never be negative

It will always be positive

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