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3 years ago

You had $21 to spend on three gel pens. After buying the pens you had $12 left over. How

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

7 0

Answer:

Step-by-step explanation:

$21 - $12 = 9

9 / 3= 3

Answer is $3 each pen

koban [17]3 years ago

3 0

Answer:

Each pen cost 3 dollars

Step-by-step explanation:

12 plus 9 is 21 which is how much you had. if you need 3 pens and you spent 9 dollars each pen costs 3 dollars because 9 divided by 3 is 3.

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The table below shows the price in dollars for the number of roses indicated is the price proportional to the number of roses ex

makvit [3.9K]

Answer:

Price of roses is proportional to the number of roses.

Step-by-step explanation:

Let the price of roses are proportional to the number of roses.

Equation representing this phenomenon will be,

P = k(R) ⇒ k = $\frac{P}{R}$

where 'P' = price of the roses

R = Number of roses

k = Proportionality constant

If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.

For R = 3 and P = $9

k = $\frac{9}{3}$

k = 3

For R = 6 and R = 18

k = $\frac{18}{6}$

k = 3

K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.

6 0

3 years ago

What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

4 years ago

If town A had 35 people, 12 left, 13 joined, 39 joined, 25 got killed, how many people were there left?

Makovka662 [10]

Answer:

Step-by-step explanation:

35 - 12 + 13 + 39 - 25 = 50

6 0

3 years ago

The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a

Paha777 [63]

Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.

By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.

ANSWER: One whole cycle of the weight took 6 seconds.

4 0

3 years ago

Simplify the expression. 11(32 + 5x) + 4x - x

alex41 [277]

Answer:

352+58x

Step-by-step explanation:

Distribute to get 352+55x+4x-x

Combine like terms to get 352+58x.

3 0

3 years ago

Read 2 more answers