All categories

3 years ago

Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

1,680 grams

Step-by-step explanation:

To solve this, we can create a proportion using this setup:

grams/people=grams/people

The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.

480 grams/4 people=x grams/14

480/4=x/14

Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.

14(480/4)=(x/14)14

14(480/4)=x

14*120=x

1680=x

She needs 1,680 grams of couscous for 14 people.

You might be interested in

What is the graph of a quadratic equation known as?

Arte-miy333 [17]

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola.

Step-by-step explanation:

4 0

4 years ago

Mei Mei invested $1700 in an account that pays 3% interest compounded annually.

algol [13]

Answer:

$2728

Step-by-step explanation:

Use compound interest formula:

$A = P(1 + \frac{r}{n})^{nt}$

P = 1700, r = 0.03, n = 1, t = 16

Plug in numbers:

$A = 1700(1 + \frac{0.03}{1})^{(1)(16)}$

Simplify:

$A = 1700(1.3)^{16$

Use calculator:

$A = 2728$

4 0

3 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$

$y+7=-2x$

$+ -7$

$y = -2x - 7$

$x - y = -11$

$y = -2x-7$

$x-(-2x-7)=-11$

$x--2x=x+2x=3x$

$3x+7=-11$

$-7$

$-11+-7=-18$

$3x=-18$

$\div3$

$-18\div3=-6$

$x=-6$

$y=-2x-7$

$y=(-2)(-6)-7$

$-2\times-6=12-7=5$

$y=5$

Hope this helps.

7 0

2 years ago

One carpet cleaning cost are shown in the table. The relationship is linear. Find and interpret the rate of change and the initi

Ainat [17]

I see from the given data that each additional carpet after the first costs $50 each to have cleaned.

The first costs $125. Supposing we subtract $50 from that, we get $75. So, it sounds like it costs $75 just to get the carpet cleaners to your house.

The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }

Let's check this result. Suppose x = 1. Will the charge be $125, as show in the table? $75 + $50(1) = $125. Correct.

Suppose x = 4. Will the charge be $275 as shown in the table?
$75 + $50(4) = $275. YES

4 0

4 years ago

Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.y=2/3x

Darina [25.2K]

Answer:

My blue dot is the y-intercept.

My red dot is my x-intercept.

Please look at the graph.

Step-by-step explanation:

I can show you my graph and mark it where the x-intercepts and y-intercepts are.

Let's begin.

We have y=2/3 x+4.

Compare this to the slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.

You should see that m=2/3 and b=4.

This means the slope is 2/3 and the y-intercept is 4.

Don't forget slope means rise/run.

So once we graph 4 (plot a point) on the y-axis, then we will use our slope to get to one more point. The slope here tells us to rise 2 and run 3.

Now sometimes our graph is not accurate when drawing by hand so there is a way without graphing that you can find the x- and y-intercepts.

The x-intercept is when the y-coordinate is 0.

The y-intercept is when the x-coordinate is 0.

So to find the x-intercept, I'm going to set y to 0 and solve for x. Like so,

0=2/3 x +4

Subtract 4 on both sides:

-4=2/3 x

Multiply both sides by the reciprocal of 2/3 which is 3/2:

3/2 (-4)=x

Simplify:

-12/2=x

Simplify:

-6=x

Symmetric Property:

x=-6

So the x-intercept is (-6,0).

I actually already have the y-intercept since my equation is in y=mx+b (slope-intercept form). But if it wasn't you could just set x to 0 and solve for y. Like so:

y=2/3 (0)+4

y=0+4

y=4

The y-intercept is (0,4).

Let's go to our graph now.

6 0

3 years ago