All categories

3 years ago

= 118

Mathematics

1 answer:

oee [108]3 years ago

6 0

Answer:

number of $20 bill = 4

Number of $5 bill = 5

Step-by-step explanation:

Given that:

Total number of $5 and $20 bills = 9

Let :

Number of $5 bills = x

Number of $20 bills = y

Combined worth of all bills = $105

x + y = 9 - - - (1)

5x + 20y = 105 - - - (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

5(9 - y) + 20y = 105

45 - 5y + 20y = 105

15y = 105 - 45

15y = 60

y = 60/15

y = 4

x = 9 - y

x = 9 - 4 = 5

Hence,

number of $20 bill = 4

Number of $5 bill = 5

You might be interested in

What is 20 more than f

timurjin [86]

This phrase can be written as 20 + f.

So, 20 + f is the answer.

6 0

3 years ago

Read 2 more answers

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of

kakasveta [241]

Answer:

The width of the yard is approximately 6 feet.

Step-by-step explanation:

1 cubic yard = 27 cubic feet. Then we must find the number of cubic yards.

So we know for 1 cubic yard = $98

And for "x" cubic yard = $58.07

1/x =98/58.07

x = 0.5925

After we figure this out we need to convert this into cubic feet

1 cubic yard = 27 cubic feet

0.5925 cubic yard = x cubic feet

1/0.5925= 27/x

x = 15 .99 cubic feet

So,

width x height x length = 16 cubic feet

w x 8 x (1/3) = 16

w = 48/8 = 6 feet

So:

The answer is:

The width of the yard is approximately 6 feet.

Hope this helps, have a good day. c;

7 0

3 years ago

Johanna carves a square block of wood that has on one side an area of 872 square inches. to the nearest integer, what is the len

BARSIC [14]

Let n be one side of the square wood block. Then:
n²=872
n=√872=approx. 30" per side
☺☺☺☺

8 0

3 years ago

The volume of the box below is 1.5 cubic inches. Which of the following are possible dimensions of the box.

anygoal [31]

I’m not sure what u mean?

7 0

4 years ago

The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w

egoroff_w [7]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

$h(x) = 15$

Substitute the value of h(x) in the equation,

$\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0$

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

$\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45$

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

7 0

3 years ago