What is the area of a rectangle with length 36 cm and width 4 cm?

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 +  y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000

Step-by-step explanation:

Please refer to the attachment

Answer:

D.

Step-by-step explanation:

Try them all out.

0.12/6=0.02

0.03/6=0.005

0.3/6=0.05

1.2/6=0.2

D is the answer.

Given :

Height of the window, h = 5 ft.

Distance of the sidewalk from the house, d = 12 ft.

To Find :

The length of the slope.

Solution :

We know, angle between wall and the floor is 90°.

So, we can say that the system makes an right angle triangle.

Let, length of the ramp is x.

So, Applying Pythagoras theorem in the triangle is :

[tex]x^2 = 5^2 + 12^2 \\\\x^2 = 25 + 144\\\\x^2 = 169\\\\x = 13\ m[/tex]

Therefore, the length of the ramp is 13 m.

Answer: 2975

Step-by-step explanation:

From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,

The number of students in the college will then bee calculated as:

= 35 × 170/2

= 35 × 85

= 2975

Therefore, 2975 students attend the college

Answer:

.3

Step-by-step explanation:

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer:

b=1/5

Step-by-step explanation:

10b + (-45) = -43

10b = 2

b = 2/10

b = 1/5

Answer:

No, since a sample mean of 20.9 or more occurred 19 out of 100 times, there is insufficient evidence that the true mean ounces of the bottles of water is greater than 20.8

Step-by-step explanation:

Edge

A random sample of 30 bottles is taken, and the mean number of ounces of water is recorded.

A bottled water company bottles varying sizes of water, from 8-ounce to 1-gallon containers. The company has,

determined that the mean quantity in their 20-ounce bottles is 20.8 ounces with a standard deviation of 0.6 ounces.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The bottling plant manager believes his machines are overfilling the bottles. A random sample of 30 bottles is taken, and the

mean a number of ounces of water is recorded.

To learn more about the standard deviation visit:

https://brainly.com/question/12402189

#SPJ2

Answer:

Sandhya performed better.

Step-by-step explanation:

You can either or simplify the fractions:

[tex]\frac{630}{900}[/tex] and [tex]\frac{650}{1300}[/tex] to simpler forms like [tex]\frac{7}{10}[/tex] and [tex]\frac{1}{2}[/tex] from there you can make the [tex]\frac {1}{2}[/tex] and multiply it by [tex]\frac{5}{5}[/tex] to get [tex]\frac{5}{10}[/tex] and then from there you can see Sandya performed better.

OR

You can divide 630 by 900 and 650 by 1300

630/900 gives you 70

and

650/1300 gives you 50

Clearly, once again Sandhya performed better.

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Answer:

9y - 27

Step-by-step explanation:

9(y - 3) = 9 * y - 9 * 3 = 9y - 27

Answer:

the answer would be 9y-27

Step-by-step explanation:

( 9 x y ) - ( 9 x 3 )

Answer:

Step-by-step explanation:

I'm not sure what the next now rule but I can give you the function.

y = 5 * 2^x

So the table is constructed by letting 0<=x<=8

For example if x is 3

y = 5 * 2^3

y = 5 * 8 = 40

When x = 3 does y come to 40? According to the chart it does.

Try another one

y = 5 * 2*6

y = 5 * 64

y = 320   Is that what the chart records? Yes it does.

If what the text now rule means is that from the current value of y, you can get the next value, then the formula would be

y_n = 2 * y_(n - 1)

y_7 = 2 * y_6

y_7 = 2 * 320

y_7 = 640

Answer:

g=4

Step-by-step explanation:

10(g+3.50)=75

(g+3.50)=7.50

g=4

Answer:

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]

We rearrange the fractions as improper  fractions for easier division as follows;

[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]

[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]

Therefore, we have;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Answer:

$28 per share

Step-by-step explanation:

Monday: $25

Tuesday: "Drops $2" "drops" is a key word for minus. So, 25-2 is 23.

Wednesday: "rises" is a key-word for addition. So, 23 + 6 is 29.

Thursday: "rises" again, is a key-word for addition. So, 29 +3 = 32.

Friday: D= "drops" is a key-word for minus. So your last step is subtracting. 32-1=28.

Hope this made sense!

Answer:

1/8 more yards

Step-by-step explanation:

ez

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

Answer:

-16/5

and -9/4

Step-by-step explanation:

multiplying fractions means multiplying straight across and simplifying

Answer:

_16/5

_27/8

Step-by-step explanation:

I hope to help you

Answer:

ALT + F5

Step-by-step explanation:

Answer:

where is the equation?

Answer:

Step-by-step explanation:

a)     No of outcomes= 7

       total no of outcomes= 10

       probability = no of outcomes/total no of outcomes

       =7/10

b)     4/10 ( since the outcomes could be 1,2,3,4)

c)     no 1 to 10 has 5 odd numbers

       so, probability = 5/10 = 1/2

d)    multiples of 3 from 1 to 10 are :-

      3,6,9= 3 no's

      so probability = 3/10

Answer:

14.085

Step-by-step explanation:

Answer:

2.34+5.4+6.345=14.085

Step-by-step explanation:

Answer:

a >= -3

Step-by-step explanation:

So A