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3 years ago

Four times the sum of a number and -3 is 4 more than twice the number. Write and solve an equation to find the number.

Mathematics

1 answer:

Sindrei [870]3 years ago

7 0

Let the unknown number be x.

4*(x + (-3)) = 4 + 2x

4x -12 = 4 + 2x

2x = 16

x = 8

Hence, the number is 8.

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Ozzie has a coupon for 5% off any purchase in his favorite bakery. When Ozzie stops to buy some cookies, he discovers that all c

maria [59]

Answer:

Step-by-step explanation:

you need to first do 5.89- [(5.89 * 15)/100]=5.89-0.8835=5.0065

then 5.0065 * 2 = 10.013 because it is 15% each dozen then

[(10.013 * 5)/100] =0.50065 then 10.013 - 0.50065 = 9.51235

and lastly (9.51235 * 7)/100 = 0.6658645

finally 9.51235 + 0.6658645= 10.1782145

and then you just need to round it to the nearest hundredths and you will get 10.18

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2 years ago

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A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.

EleoNora [17]

Answer:

927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

V = Bh

where B represents the area of the base, and h is the height.

V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

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3 years ago

NEED HELP ASAP!! IF YOU ANSWER RIGHT ILL MARK YOU BRAINLIEST!!!

ExtremeBDS [4]

Answer:

Step-by-step explanation:

f(1)=-11

f(n)=f(1)+d(n-1)

so d=22

f(n)=f(n-1)+22

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3 years ago

Please help me solve this problem... I will mark you brainliest

DaniilM [7]

Answer:

As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.

The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.

Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).

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3 years ago

What is the linear function equation represented by the graph?

victus00 [196]

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation $y = mx + k.$

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

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3 years ago

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