What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?

A company makes $300 each month selling its products to the public. The company has $435 in its bank account. How many months of

Galina-37 [17]

Answer:

300x = 435, given x represents the amount of months.

So 435 divided by 300 is 1.45 months for that amount.

Step-by-step explanation:

4 0

3 years ago

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Giovanni purchased 25tickets to an airshow. the cost of an adult's ticket is $14 and the child's ticket is $8. if the total cost

Masteriza [31]

Giovanni purchased 20 adult tickets and 5 child's tickets.

Step-by-step explanation:

Let,

x = Adult tickets

y = Child's tickets

According to given statement;

x+y=25 Eqn 1

One adult ticket costs $14 and one child ticket costs $8, therefore,

14x+8y=320 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 8\\8(x+y=25)\\8x+8y=200\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(14x+8y)-(8x+8y)=320-200\\14x+8y-8x-8y=120\\6x=120\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{120}{6}\\x=20$

Putting value of x in Eqn 1;

$20+y=25\\y=25-20\\y=5$

Giovanni purchased 20 adult tickets and 5 child's tickets.

Keywords: Linear equations, Addition

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Can somebody tell me if I did it right I’m not sure how I’m supposed to find the distance?

Salsk061 [2.6K]

Answer:

6.4 units

Step-by-step explanation:

Use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(8-3)^2+(-3-(-7))^2}$

$d=\sqrt{(5)^2+(4)^2}$

$d=\sqrt{25+16}$

$d=\sqrt{41}$

$d=6.4$

Therefore, the distance between (3,-7) and (8,-3) is 6.4 units

Hopefully, this was helpful!

5 0

3 years ago

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I need help urgent this is to hard for me to do

Morgarella [4.7K]

Answer:

( 7 , 4 )

given:

4x + 10y = 68

4x - y = 24

make y the subject in equation 2:

4x - y = 24

-y = 24 - 4x

y = 4x - 24

insert this in equation 1:

4x + 10y = 68

4x + 10(4x - 24) = 68

4x + 40x - 240 = 68

44x = 68 + 240

44x = 308

x = 7

solve for y:

y = 4x - 24

y = 4(7) - 24

y = 4

6 0

2 years ago

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For each problem below put the lettered measures in order for greatest to the least

Len [333]

Angles can be used to estimate the side lengths of a shape.

The letters in order of greatest to least are (a), (b) and (c)

The sum of angles at side (a) is:

$a = 30 + 50$

$a = 80$

The sum of angles at side (c) is:

$c = 50 + 90$

$c = 140$

The sum of angles at side (b) is:

$b = 40 + 90$

$b = 130$

So, we have:

$a = 80$

$b = 130$

$c = 140$

The smaller the base angles, the longer the side.

Hence, the letters in order of greatest to least are (a), (b) and (c)