The price of a product increased by $75, which was a 15% increase. What was the product's original price?

John and Liz are sharing a large pizza. John ate of the pizza, and Liz ate of the pizza. How much of the pizza is left?

Aloiza [94]

Add what they ate
2/3 + 1/4 =
11/12
Then subtract that from the whole pizza
12/12 - 11/12 =
1/12
1/12 of the pizza is left
Please mark as brainiest

6 0

3 years ago

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Find four consecutive integers such that the sum of the two largest subtracted from three times the sum of the two smallest is 7

serious [3.7K]

Answer:

18, 19, 20, 21

Step-by-step explanation:

Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.

As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.

The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5

and three times the sum of the two smallest = 3(n + n+1) = 6n+3

and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2

4n-2=70

4n=68

n = 18.

n = 18, n+1 = 19, n+2 = 20, n+3 = 21

7 0

3 years ago

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $

Nonamiya [84]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1472\\
P=\textit{original amount}\to& \$1080\\
r=rate\\
t=years\to &\frac{1}{12}
\end{cases}
\\\\\\
1472=1080\left(1+r\cdot \frac{1}{12}\right)$

notice, it was pawned for only 1 month, so the "yearly" rate is for 1 month, which is 1/12 of the year, since a year has 12 moths

you'll get a rate in decimal terms, to get the % amount, just multiply it times 100

6 0

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 $\boxed{y = \frac{1}{3}x - 4}.$

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

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.

3 0

3 years ago

Read 2 more answers

Km bisects jkn kn bisects mkl prove jkm=nkl <br> please help !!

NikAS [45]

Answer:

Can you repost the picture i cant see it!

Ill help you just repost the picture!

Step-by-step explanation:

5 0

3 years ago