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3 years ago

Please help with this practice quiz!!

Mathematics

1 answer:

Nady [450]3 years ago

5 0

Answer:

slope is 9

Step-by-step explanation:

use the formula y=mx+b wherein m is the slope and b is the y-intercept

to solve for m, use formula (y2-y1)/(x2-x1):

$\frac{127-1}{5-(-9)}$ = $\frac{126}{14}$ (you add 5 and 9 together because negative + negative is positive)

126/14 = 9

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A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric

Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

3T + 2B = 38

6 0

3 years ago

The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

$l\times w = 1440 \ \ \ \ equation\ 1$

Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.

framing in equation form we get;

$2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2$

Now Substituting equation 2 in equation 1 we get;

$l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0$

Now we will find the root by factorizing the same we get;

$w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\$

Now solving for each to find the value of 'w' we get;

$w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40$

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = $\frac{4}{40}\times 100 = 10\%$

Hence If Length is decreased by 10% then it would become a square.

6 0

3 years ago

What is the image of point (4, 3) if the rotation is -270º ?

Ludmilka [50]

Answer:

OK so you point is y=4 and x=3 so plot that on a x,y graph. Then to turn it -270 degrees you need to clock wise. normally you would just go counter clock wise but since your rotation is negative you go counter clock wise. hope this helped!!

Step-by-step explanation:

3 0

3 years ago

One safe investment pays 8% per year, and a more risky investment pays 12% per year.

Mice21 [21]

Principal = 109,000

Return - 9,920

Return = (principal x rate x time)/100

X = the amount invested at 12%

Then 102000- x = the amount invested at 8%

9920 = (x*12)/100 + (109000-x*8)100

x = 30,000

a) 30,000 is invested at 12%

79,000 is invested at 8%

b) The 12% investment is riskier so if all the money was in that account the investor could lose all his money.

3 0

3 years ago

50 POINTS AGAIN<br> and I will give brainliest

Novosadov [1.4K]

Answer:

apple = 4

blackberry =5

Step-by-step explanation:

Let a = apple pie cost

b =blackberry pie cost

4a +9b = 61

7a +6b = 58

Multiply the first equation by 7

7(4a +9b) = 61*7

28a +63b = 427

Multiply the second equation by -4

-4(7a +6b) = 58*-4

-28a -24b = -232

Add these two new equations together to eliminate a

28a +63b = 427

-28a -24b = -232

-----------------------------

0a +39b =195

Divide each side by 39

39b/39 = 195/39

b= 5

Now we need to find a

4a +9b = 61

4a +9(5) = 61

4a +45 = 61

4a+45-45 =61-45

4a = 26

Divide by 4

4a/4 =16/4

a = 4

5 0

3 years ago

Read 2 more answers