Expand and simplify (2x+1)(x+3)

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

Answer:it is ten

Step-by-step explanation:

The probability is the ratio of the favorable event to the total number of events. Then the probability that both suits will be black is 0.183.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A clothing store has 18 suites for sale. 10 of the suits are Blue, and 8 are black. Two suits are chosen to be put on display in the store window.

Then the probability that both suits will be black will be

[tex]\rm P = \dfrac{ ^8C_2 \times ^{10}C_0}{^{18}C_2}\\\\P = \dfrac{28 \times 1}{153}\\\\P = 0.183[/tex]

More about the probability link is given below.

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Answer:

Step-by-step explanation:

Recognize that this is a 30-60-90 triangle.  

Write and solve an equation of ratios:

 x         1

------ = ------- (which is the tangent of 30°)

√2       √3  

Then √3*x = √2, and so:

       √2

x = ----------

        √3

Rationalize this as follows:  

      √2*√3        √6

x = ------------- = ------

            3-            3

Answer:

no a equilateral triangle has the same length sides all the way around

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

Answer:

n = 5

Step-by-step explanation:

[tex]7n + 2 = 4n + 17[/tex]

➡️ [tex]7n - 4n = 17 - 2[/tex]

➡️ [tex]3n = 15[/tex]

➡️ [tex]n = 5[/tex] ✅

Answer:

Step-by-step explanation:

The proportion would be:

Answer:

[tex]n = 136\% \: of \: 85 \\ n = \frac{136}{100} \times 85 \\ n = 1.36 \times 85 \\ \boxed{n = 115.6}[/tex]

Answer:

-2.8h-26+5d

Step-by-step explanation:

So just combine like terms

For the h, you’d get -2.8

For the d, you’d get 5

For the normal integer, -26

Answer:

8h-7.9d-16+5d-2.9h

5.1h-7.9d-16+5d

=5.1h-2.9d-16

Step-by-step explanation:

Answer:

[tex]0 \le x \le 20[/tex]

Step-by-step explanation:

Given

[tex]60x + 80y = 1200[/tex]

Required

Determine the domain

[tex]60x + 80y = 1200[/tex]

First, solve for y

[tex]80y = 1200 - 60x[/tex]

Divide through by 80

[tex]\frac{80y}{80} = \frac{1200}{80} - \frac{60x}{80}[/tex]

[tex]y = \frac{1200}{80} - \frac{60x}{80}[/tex]

[tex]y = 15- 0.75x[/tex]

Given that x represents large cakes

The smallest number of cakes is 0.

To get the largest, we simply set y to 0 (to get the x intercept)

[tex]0 = 15- 0.75x[/tex]

[tex]-15 = - 0.75x[/tex]

Solve for x

[tex]x = \frac{-15}{-0.75}[/tex]

[tex]x = 20[/tex]

Hence, the domain is:

[tex]0 \le x \le 20[/tex]

25 1/2 Answer

may be this is helpful!

Answer:

=7.5cm

Step-by-step explanation:

15=1:2

15=1/2

=15/2

=7.5cm

Answer:

3

Step-by-step explanation:

9 - 3 = 6

6/ 1/3 = 2

2 + 1 = 3

Answer:

y less than or equal to 2x+1

Step-by-step explanation:

Move the slope to the other side and cancel the 4 on the y to get only y. Whatever you do on one side you must do on the other.

Answer:

y≤2x+1

Step-by-step explanation:

slope intercept form= y=mx+b

-8x+4y<=4

-8x+4y≤4

Add 8x to both sides

4y≤8x+4

Divide both sides by 4.

y≤2x+1

This is 100% correct ask me if you have more questions hope this helps.

Answer:figure it out yourself

Step-by-step explanation:

Step-by-step explanation:

Let x and y be the present ages of the father and his son respectively.

x + y = 80

2y = 40

y = 20

x + 20 = 80

x = 60

Answer:

Step-by-step explanation:

Given: -8 - ( -1 ) - 5 = -12

B. -8 + 1 - 5

= -8 + 1

= -7 - 5

= -12

E. - ( 8 - 1 + 5 ) it will be -8 + 1 - 5

= -8 + 1

= -7 - 5

= -12

Answer:

its b and e

Step-by-step explanation:

Answer:

25 hamburger

20 hot dogs

Step-by-step explanation:

Answer:

The length of the rectangle is given as:

(9x + 6)

Step-by-step explanation:

The area of a rectangle is given as:

Length × Width

Area of the rectangle = 45x² − 42x − 48

Width = 5x - 8

We solve for the length of the rectangle by factorising the area of the rectangle

45x² − 42x − 48

45x² - 72x + 30x - 48

(45x² - 72x )+ (30x - 48)

9x(5x - 8) + 6(5x - 8)

(5x - 8)(9x + 6)

Therefore:

The length of the rectangle is given as:

(9x + 6)

Answer:
B. dividend
A. divisor
D. 9x + 6

Step-by-step explanation:
edge 2023

Answer:

D. About 9.4 units

Step-by-step explanation:

[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]

Answer:

A) 15.8

Step-by-step explanation:

10/8 = .80

15+ .80 = 15.8

Answer:

C

Step-by-step explanation:

The Legth is 4

The surface area is 6a^2

The final equation is 6(4)^2

When you do 4^2 it’s the same as 4x4 which equals 16. All you have to do now is 6 x 16 and you get your answer

Hope this helps :D

The surface area of Chelsea's cube will be 96 cm² so option (C) will be correct.

A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.

A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.

The surface area of the cube = 6 side².

The volume of the cube = side³.

Given a cube

Side = 4cm

The surface area of the cube = 6 side² so

The surface area of a cube = 6(4²) = 96 cm².

So 96 cm² will be the correct answer to the given question.

To learn more about cubes,

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Answer:

D:G-------> 3:5

27/3=9

9 x 5= 45

45 geese

Answer:

ratio is 5isto 4 byan action and drama

Answer:

4/3

Step-by-step explanation:

tan is opposite/adjacent

tan A is 12/9

12/9 simplified is 4/3

Answer:

B.56

Step-by-step explanation:

80x0.70 is 56

Answer:

1. yes, because they both have the same undefinite slopes. They are both vertical lines.

2. no, because their slopes are not negative reciprocals.

3. [tex]y=\frac{2}{3}x-6[/tex]

4. [tex]y=\frac{3}{2}x+5[/tex]

Step-by-step explanation:

In order to solve this problem, we can start by drawing a diagram of the paths Mia drew. (See attached picture the red lines are the original paths).

1. In order to determine if the paths are parallel or not, we need to first know what the slope of the paths is. The slope of the paths can be found by using the equation:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

So, for path AB we get:

[tex]m_{AB}=\frac{6-2}{2-2}[/tex]

which yields:

[tex]m_{AB}=\frac{4}{0}[/tex]

Now, since we have a denominator of 0 in that friction, this means that the division is not defined for the real number, therefore, we are dealing with a vertical line.

for the path CD we get:

[tex]m_{CD}=\frac{2-6}{8-8}[/tex]

which yields:

[tex]m_{AB}=-\frac{4}{0}[/tex]

Now, since we have a denominator of 0 in that friction, this means that the division is not defined for the real number, therefore, we are dealing with a vertical line.

Therefore, since both slopes are the same, this means that the two lines will be parallel.

2. The procedure is the same as in the previous problem:

[tex]m_{AC}=\frac{6-2}{8-2}[/tex]

which yields:

[tex]m_{AC}=\frac{2}{3}[/tex]

for the path BD we get:

[tex]m_{BD}=\frac{2-6}{8-2}[/tex]

which yields:

[tex]m_{BD}=-\frac{2}{3}[/tex]

This two fractions are just opposite in sign. But for the lines to be perpendicular, their slopes should be negative reciprocal. In this case they are not reciprocal, so the lines are not perpendicular to each other.

3. For part 3, we know that for two lines to be parallel, their slopes must be the same. We already found the slope of AC to be:

[tex]m_{AC}=\frac{2}{3}[/tex]

we also know the line must go through the point (12,2), so we can use the point-slope form of the equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

so we can go ahead and substitute the pertinent data:

[tex]y-2=\frac{2}{3}(x-12)[/tex]

So now we can solve it for y so it gets the slope-intercept form, which is:

[tex]y=\frac{2}{3}x-6[/tex]

4. In this part of the problem, we will need to follow a similar process, but this time, we need the slope to be negative reciprocal to slope of the line BD.

[tex]m_{BD}=-\frac{2}{3}[/tex]

so:

[tex]m_{MN}=\frac{3}{2}[/tex]

so now we can build our equation with the point-intercept form and the given point so we get:

[tex]y-10=\frac{3}{2}(x-10)[/tex]

So now we can solve it for y so it gets the slope-intercept form, which is:

[tex]y=\frac{3}{2}x-5[/tex]

Answer:

-15, -16, -17

Step-by-step explanation:

For three consecutive integers, we can divide the sum by 3 to find the middle integer. Then subtract 1 to get the first integer and add 1 to get the third integer.

-48 ÷ 3 = –16

–16 -1 = –15

–16 +1 = –17

Answer: a. $2700

b. $10200

Step-by-step explanation:

a. The interest she would have earned at the end of the 6 years can be gotten using the formula

= PRT/100

= $7500 × 6% × 6

= $7500 × 6/100 × 6

= $7500 × 0.06 × 6

= $2700

b. Her balance when she wants to withdraw the money would be:

= $7500 + $2700

= $10200