2. 5x + 7x + 3x = 60
What’s the value of x?

Answers

Answer 1

Answer:

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6

Answer 2

Answer:

4

Step-by-step explanation:

5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60


Related Questions

Find AB. Round to the nearest tenth if necessary.

Answers

Answer:

I think the right answer would be 7

Step-by-step explanation:

We got-ta use the equation: CA * BA = DA²

CA = 15 + BA

DA² = 8² = 64

=> (15 + BA) BA = 64

Subtract 15 from each side:

BA(BA) = 49

BA² = 49

Now take the square root of each side

BA = 7

Hope this helps!

Calcula la hipotenusa del triángulo rectángulo cuyos lados miden 8 y 9

Answers

Respuesta:

12.04 pero puede ser 12

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 9^2 = c^2

64 + 81 = 145^2

√145 = 12.04 = 12

Similar figures have the same ________ but not necessarily the same size.

Answers

Answer:

Two figures are similar if they have the same SHAPE but not necessarily the same size.

I'm currently freaking out right now. How long would it take me to get somewhere going 5 mph(on average) going to a place that is 6.2 miles away? I'm sneaking out tonight and i need to know what time to leave:) if you could leave an answer that actually helps, it would be appreciated

Answers

Answer:

31

Step-by-step explanation:

I think the correct answer is 31

Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.

Answers

Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages

Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​

Answers

Answer:

y = -⅓x - 5

Step-by-step explanation:

the slope of g(x) = 3

=> the slope of the line perpendicular

to g(x) = -1 /3

so,

the line is :

y +5 = -⅓(x-0)

y = -⅓x - 5

y=3x-0.77

On comparison to slope intercept form

slope=m=3

Perpendicular lines have slopes negative reciprocal to each other

Slope of perpendicular line=-1/3

Equation

y+5=-1/3xy=-1/3x-5

A pyramid has a(n)
for a base and a number of
that all meet at the
same
A. edge; faces; plane
B. altitude; edges; point
C. polygon; faces; vertex
D. polygon; points; point

Answers

Answer:

I believe C

Step-by-step explanation:

hope this helps

2. Alexis bought four jars of pickles. The total mass of the four jars was 12 kilograms. What is the mass, in grams, of each jar of pickles? Anwsers:​

Answers

Answer:

it´s 3,000

Step-by-step explanation:

The answer is J 3,000grams

If NP= 9 and MP = 15, What is the length of OP

Answers

Answer: 5.4

Step-by-step explanation:

Find the missing side or angle.
Round to the nearest tenth.
A=15°
C= 120°
b=3
c=[? ]

Answers

Answer:

3.7

Step-by-step explanation:

Acellus

solve for cos(57)=x/15

Answers

Step-by-step explanation:

cos(57)=x/15

0.544×15=xx=8.16

stay safe healthy and happy.

Answer:

If you mean 57 degrees then the answer is 8.1695...

If you mean 57 radians then the answer is 13.498...

Step-by-step explanation:

Isolate the x by multiplying 15 on both sides

15 x cos(57) = x

A. X = 18
B. X = 48
C. X = 82
D. X = 98

Answers

Answer:

b. x=48

Step-by-step explanation:

just try each one until you get an answer that equals to 180 degrees

Answer:

the answer is b.X=48....

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm

Answers

Area formula: pi * r^2
Given pi = 3.142 and r = 4
Plug in the values
Area = 3.142 * 4^2
Area = 3.142 * 16 = 50.272
Round to nearest 1 decimal place

Solution: 50.3 cm^2

Find the range of the data.
4.8,5.5, 4.2, 8.9, 3.4, 7.5, 1.6,3.8

Answers

don't know bro sorry for points comment below to talk

Answer:

7.3

Step-by-step explanation:

range is the difference between the smallest and biggest number in the list so you just subtract the lowest from the biggest 8.9-1.6 = 7.3

Find the area: to the nearest whole number

Answers

Answer:

The area of the composite area is 400 square millimeters.

Step-by-step explanation:

The area of the composite figure ([tex]A[/tex]), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:

[tex]A = w\cdot h[/tex] (1)

Where:

[tex]w[/tex] - Width, in millimeters.

[tex]h[/tex] - Height, in millimeters.

If we know that [tex]h = w = 20\,mm[/tex], the area of the composite figure is:

[tex]A = (20\,mm)\cdot (20\,mm)[/tex]

[tex]A = 400\,mm^{2}[/tex]

The area of the composite area is 400 square millimeters.

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.

Answers

The volume of the pyramid is 23.375 ft^3.

We have,

Volume = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.

The perimeter of a square is equal to 4 times the length of one side.

Let's denote the length of one side of the square base as s.

And,

4s = 10.7

Solving for s:

s = 10.7 / 4 = 2.675 ft

Base Area = s^2

Plugging in the value of s:

Base Area = (2.675 ft)^2 = 7.156 ft^2

Now,

Volume = (1/3) * Base Area * Height

Volume = (1/3) * 7.156 ft^2 * 9.8 ft

Volume = 23.375ft^3 (rounded to six decimal places)

Therefore,

The volume of the pyramid is 23.375 ft^3.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ4

Q8. Look at the image.

Answers

Answer:

Option B

Step-by-step explanation:

Quadratic equation given in the question is,

[tex]x^2+4x+2=0[/tex]

By comparing this equation with the standard quadratic equation,

[tex]ax^2+bx+x=0[/tex]

[tex]a=1,b=4[/tex] and [tex]c=2[/tex]

By using quadratic formula to get the roots of the given quadratic equation,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

By substituting the values of a, b and c in the formula,

[tex]x=\frac{-4\pm\sqrt{4^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16-8}}{2}[/tex]

[tex]x=\frac{-4\pm\sqrt{8}}{2}[/tex]

[tex]x=\frac{-4-\sqrt{8}}{2},\frac{-4+\sqrt{8}}{2}[/tex]

[tex]x=-3.414,-0.5857[/tex]

[tex]x=-3.41,-0.59[/tex]

Therefore, Option B will be the answer.

Estimate the radius of the object. Round to the nearest hundredth if necessary.

A circular sewer cover with circumference labeled 122 inches.

Answers

Answer:

The radius is 19.42 inches.

Step-by-step explanation:

Start with the formula for finding the circumference of a circle, which is C=2[tex]\pi[/tex]r.

Then, derive the formula in order to find the radius, which the formula should then look like r= C/2[tex]\pi[/tex].

Finally, plug in the corresponding numbers, which is r= 122 inches/ 2[tex]\pi[/tex]. The final answer is 19.42 inches.

Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:  89 will go in the box

This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

find the volume of the rectangular prism below 3.6ft, 2.7ft, 8.1ft

Answers

Answer:

78.732

Step-by-step explanation:

Volume is length x width x height so
3.6 x 2.7 x 8.1 is 78.732

Question is in the screenshot...

Answers

Step-by-step explanation:

m L 1 = 130° (alternate interior angles)

m L 2 = 180°- m L 1 (supplementary)

= 180° - 130° = 50°

Vertical angles are supplementary

m<2

180-13050°

m<1

180-50130°

Will give brainliest if correct! Which of the following is not a solution to the inequality 3−(7−2x)>−8?
A) -3
B) -1
C) 0
D) 1

Answers

Answer:

-3

Step-by-step explanation:

3-(7-2x) > -8

get rid of the parentheses because there is a minus sign before them

3-7+2x > -8

replace x with all the numbers (one by one not all at once) and see if the equation is correct until you find the number that makes it incorrect.

EXAMPLE:

3-7+2(1) > -8 parentheses next to a number means multiply

3-7+2 > -8

3-7 = -4

-4 + 2 = -2

-2 is greater than -8

The third-floor residents of a building were polled about whom they would vote for in the upcoming city election for comptroller. What are the sample and the population in this poll?

Answers

Answer:

1/3 population hope this helps

Sebastian bought 4 basketballs for $37.60 what is the rate price for per basketball?

Answers

each basketball should cost $9.40

Answer:

9.40$

Step-by-step explanation:

Can someone help me with this problem please thank youu how do you do it ?

Answers

Answer:

A) x = 6 y = 6√3

Step-by-step explanation:

30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.

Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.

Answers

Answer:

A

Step-by-step explanation:

There isnt enough information given.

Hope it helps u

Please mark as the brainliest

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured in millions.

Answers

Answer:

[tex]B(4) > A(4)[/tex]

[tex]t = 6[/tex]

Step-by-step explanation:

Given

[tex]City\ A \to Purple[/tex]

[tex]City\ B \to Blue[/tex]

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

[tex]A(4)= 1.8[/tex]

[tex]B(4) = 2.6[/tex]

By comparison:

[tex]B(4) > A(4)[/tex] because [tex]2.6 > 1.8[/tex]

Solving (b): When is A(t) = B(t)

From the readings of the graph

[tex]A(t) = B(t)[/tex] when [tex]t = 6[/tex]

i.e.

[tex]A(t) = B(t) = 3\ million[/tex]

Help me with this please!!!!!!

Answers

Answer:

w = [tex]14\sqrt{2}[/tex]

Step-by-step explanation:

Sin(60) = [tex]7\sqrt{6}[/tex] / w

Sin(60) * w =  [tex]7\sqrt{6}[/tex]

w =  [tex]7\sqrt{6}[/tex] / Sin(60)

w = [tex]14\sqrt{2}[/tex]

Hope this helps!

ASAP -Which is the best estimate of 2 Pi^2

Answers

Answer:

C budddyyyyyy

Gieco saves you 15% on car insurance

lol sorry i just had to

pls help and show work! giving brainliest and thanks :)

Answers

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

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