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3 years ago

Lori had 91 apples and Jay had 68 apples how many apples do they have in all? I don't know if I should multiply 68×91

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

Answer:

157

Step-by-step explanation:

You don't need to do any multiplication here. It is a fundamental addition problem.

It is given that Lori has got 91 apples and Jay has got 68 of them. We have to find how many apples do they have together.

The correct solution is to add the numbers together:

91+68=157 apples

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose th

allochka39001 [22]

Answer:

This is an example of

C. simultaneous causality.

Step-by-step explanation:

Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.

4 0

3 years ago

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?

emmasim [6.3K]

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which represents by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.
The response variable calories is the output.

The equation is:

$y = 121 + 1.42x$

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0

2 years ago

A 16-ounce package of frozen vegetables costs $2.10. How much would you expect a 12-ounce package to cost?

statuscvo [17]

Hi!

We need to find the cost per ounce.
2.10/16 = 0.13125

It costs 0.13125 per ounce.

Now find the cost of 12 ounces.
12 * 0.13125 = $1.58

The answer is $1.58

Hope this helps! :)
-Peredhel

8 0

3 years ago

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Help please im trying to pass

Stells [14]

Answer:

(0, -1)

Step-by-step explanation:

that is where the line intercepts on the vertical axis

3 0

3 years ago

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