All categories

3 years ago

Lisa has twelve fewer dimes than quarters, for a total of $11.05

1 answer:

5 0

So set up the equations
q-12=d
25q+10d=1105
plug in q-12 as d in the second equation:
25q+10q-120=1105, then simplify:
35q=1225
q=35
since there's 12 fewer dimes, we know that there's 23 dimes and 35 quarters.

You might be interested in

3^4 + 4 . 5 = _ (input whole numbers only.)

anygoal [31]

3^4=81
4*5=20
81+20=101
Hope this helped

6 0

3 years ago

Review the table of values for function h(x).

muminat

Answer:

a) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

Step-by-step explanation:

edg 21 ^u^

3 0

3 years ago

Read 2 more answers

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

tamaranim1 [39]

Answer:

$y=\frac{5}{7}x-5$

Step-by-step explanation:

All lines in the plane are of the form

y = mx+b

The intersection with the Y-axis is obtained by replacing x with 0

The intersection with the X-axis is obtained by replacing y with 0

If we want that the Y-intercept = -5, then

-5 = m(0)+b

So b = -5

Our temporal equation is then

y = mx-5

If we want that the X-intercept = 7, then

0 = m(7)-5

7m = 5

m = 5/7

So our final equation is

$y=\frac{5}{7}x-5$

Attached is the graph of the line

3 0

3 years ago

Which one of the following does not represent a proportional relationship?

Tamiku [17]

Answer:

may be these are your following

u forgot to right options that's why i am doing according to me

if these are wrong please tell me I will do according to your options

Step-by-step explanation:

in this 2 table does not repeat a proportional relationship

4 0

3 years ago

Solve for x. 6(x - 1) = 9(x + 2) x = -8 X = -3 X = 3 x = 8

Wewaii [24]

Answer:

$x=-8$

Step-by-step explanation:

$6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

$6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\$

4 0

3 years ago

Read 2 more answers