Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.

The number of soda bottles split 5 ways ​

Answer:

x=14/5

Step-by-step explanation:

Group like terms

2x+8x+7=35

Add similar elements: 2x+8x=10x

10x+7=35

Subtract 7 from both sides:

10x+7−7=35−7

Simplify

10x=28

Divide both sides by 10

10x/10 =28/10

Simplify:

x=14/5

Answer:

[tex]2x+7+8x=35[/tex]

[tex]2x+8x+7=35[/tex]

[tex]10x+7-7=35-7[/tex]

[tex]10x=28[/tex]

[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]

[tex]x=\cfrac{14}{5}[/tex]

or

[tex]x=2.8[/tex]

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180  {Combine like terms}

4x - 20 = 180      

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide  both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

Answer:

F=36

Step-by-step explanation:

F= 12 times 9 divided 3 = 36

The question requires calculating the objects mass in kilogram (kg)

The mass in kg of the objects is 4 kg

Given:

F = ma

Where,

F = Force (N)

M = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

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Answer:

x=5.58

Step-by-step explanation:

Answer: 5.58

All the other answers are wrong. You want to subtract both sides to get x alone. I used a calculator.

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

Answer:

(x, y) = (-5/13, -41/13)

Step-by-step explanation: (Assuming the following corrections:)

y = 3x-2

-7x-2y = 9

-7x-2(3x-2) = 9

-7x-6x+4 = 9

-13x = 5

x = -5/13

y = -5/13(3) - 2

y = -15/13 - 2 = -41/13

Answer:

5 houses

Step-by-step explanation:

She needs to visit 5 houses as 20 divided by 4 is 5

Answer:

x + 8 > 11

dot at 11 going to the right.

Answer:

10%=1500

so 100% = 15000

90%= 100% - 10%

15000-1500=13500

90%=13500

Answer:

okay so..

Given

<2 = 110°

• <2 = <4 so <4 = 110°

Step-by-step explanation:

Solution

• <4 is equal with it's front facing angle(the angle next to <1) let's call that angle <x

<4 = <x = 110°

<x + <1 = 180°

110° + <1 = 180°

<1 = 180° - 110°

<1 = 70°

• <4 + <3 = 180°

110° + <3 = 180°

<3 = 180° - 110°

<3 = 70°

Step-by-step explanation:

use a little imagination.

the whole thing is a combination of churches and half- circles.

and you know the formula for the area of a circle ?

A = pi×r²

so, the only difficulty is to find the circles and then the radius of each involved circle.

when you look at the picture, the shaded area is almost identical to the lower half of the main circle.

2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.

so, as a first step we will calculate the area of the lower half of the main circle.

the diameter is 24 m, so the radius is half of that : 12m

the area of the large circle is therefore

pi×12² = 144×pi m²

since we only need the (lower) half, we divide this by 2 :

144×pi / 2 = 72×pi m²

the bumps up and down are actually half-circles too. just of smaller circles.

since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.

so, the diameter of the smaller circles is 24/3 = 8 m

and their radius is half of that = 8/2 = 4m

the area of such a small circle is therefore

As = pi×4² = 16×pi m²

and a small half-circle area is then

16×pi / 2 = 8×pi m²

so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.

so, in total I only need to add 1 small half-circle.

Ashaded = 72×pi + 8×pi = 80×pi m²

Cost price:-

[tex]\\ \sf\longmapsto 35\times 20[/tex]

[tex]\\ \sf\longmapsto 700[/tex]

Now

Return=823-700=123

Rate of return

[tex]\\ \sf\longmapsto \dfrac{123}{700}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{123}{7}[/tex]

[tex]\\ \sf\longmapsto 17.5\%[/tex]

The rate of return on the stock will be equal to 17.3%.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Total number of stocks = 35

Purchase price of each stock = $20

Then, the price of 35 stocks will be,

35 × $20 = $700

The selling price of all stocks = $815

Also, the commission for selling is $6.

So, the extra money earned will be,

815 - 700 + 6 = 115 + 6

= $121

So, the rate of return from the original price will be,

= 121/700 × 100

= 12100/700

= 17.3%

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Answer:

5713 - 75

= 5638

Step-by-step explanation:

brainliest plz

Answer:

1/4 x (3 x 7) less than

(3 x 7) ÷ 5 less than

(3 x 7) - 8 less than

(3 x 7) ÷ 1 equal to

1 x (3 x 7) equal to

5 + (3 x 7) Greater than

(3x7) x (3-1) Greater than

(3x7) + (1-1) equal to

Step-by-step explanation:

i hope this is right

Answer:

24 kilograms of catfish

Step-by-step explanation:

Take the percentage of catfish as a decimal or fraction and multiply it by the total amount of fish caught. The percent of catfish is 40% which is the same thing as 0.4. Multiply that by the total 60 kg of fish to get 24 kg of catfish.

x=5/4

the explantion would be to long lol

Answer:

x = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

3(x - 5) - 5x = - 25 + 6x ← distribute parenthesis and simplify left side

3x - 15 - 5x = - 25 + 6x

- 2x - 15 = - 25 + 6x ( subtract 6x from both sides )

- 8x - 15 = - 25 ( add 15 to both sides )

- 8x = - 10 ( divide both sides by - 8 )

x = [tex]\frac{-10}{-8}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

x= 7

Step-by-step explanation:

Answer:-1

Step-by-step explanation:

10x+1=3(4x+2)-3

10x+1=12x+6-3

10x+1=12x+3

1=2x+3

-2=2x

1=x

Answer:

You didn't give us a picture to look at

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )

7x² = 28 ( divide both sides by 7 )

x² = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

4 x 3 x 1 = 12

12 = 12

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Answer:

28 miles

Step-by-step explanation:

12:3

7:x

12÷3=4

4 miles per hour

7•4=28

Answer:

[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]

[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]

[tex]\sf\longmapsto \: 2x = 2[/tex]

[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]

[tex]\sf\longmapsto \: x = 1[/tex]

Answer:

[tex]\boxed {\sf x=1}[/tex]

Step-by-step explanation:

[tex]\sf 2x+10=12[/tex]

[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]

[tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]

[tex]\boxed{\sf Hope\: it\:helps!}[/tex]

Answer:

x=5.5

Step-by-step explanation:

2x+3.50=14.50

2x=14.50-3.50

2x=11

x=11/2

x=5.5

Option B

Let's Find x

[tex]\\ \sf\longmapsto 2x+3.50=14.50[/tex]

[tex]\\ \sf\longmapsto 2x=11[/tex]

[tex]\\ \sf\longmapsto x=11/2=5.5[/tex]

Using quadratic function concepts, it is found that:

The height of the rocket after x seconds is given by:

[tex]h(x) = -5x^2 + 10x + 20[/tex]

Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].

The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a}[/tex]

[tex]\Delta = b^2 - 4ac[/tex]

Then:

[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]

[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]

[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]

Thus:

It hits the ground when [tex]h(x) = 0[/tex], thus:

[tex]-5x^2 + 10x + 20 = 0[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]

We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.

A similar problem is given at https://brainly.com/question/24705734

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

Answer: p = - 5.8

Step-by-step explanation:

0.7p - 0.2p = -9.57 + 6.67

0.5p = -2.9

p =  [tex]\frac{-2.9}{0.5}[/tex]

p = - 5.8

please give me a brainliest answer