Question:

: Maria attended a Chicago Cubs baseball game last night. The ticket to get into the game was $39.00 and hot dogs cost $5.50 eac

PIT_PIT [208]

Answer: 3

Step-by-step explanation:

At first you would subtract 39 from 60. Then you would do 21/5.5 and you would get 3.818… and due to the fact you can't go over 60 you would round to 3 and not 4

8 0

3 years ago

What is the equation of the graphed line written in standard form?

Masja [62]

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c.

To find the slope of the line you could either use the two points on the line or just look and see.

Start from the point farther down, the point on (5,0). Look and see how many units it takes to go up/down to where the point on (0,3) is.

If it goes up, then you are at a positive slope so far. If it goes down, then you are at a negative slope so far. It takes 3 units UP (positive) to go onto the line that (0,3) is on.

Now see how far does it take to go left/right to where the point on (0,3) is. If you have to go left, that means you have a negative; if it goes right then you have a positive. It takes 5 units LEFT (negative) to where (0,3) is.

A positive (up) and a negative (left) make a negative, so your slope is how many units it took to go vertically/how many units it took to go horizontally.

Your slope is -3/5.

Now to solve for b, or the y-intercept, you can look on the graph to see where the point lies on the y-axis (vertical). The point lies on 3 on the y-axis, so your y-intercept is 3.

Since you have the slope and can see the y-intercept of the graphed line, you can make the equation y = mx+b by plugging in -3/5 for the slope and plugging in 3 for b (y-intercept).

y = (-3/5)x+(3)

Remove the parentheses: y = -3/5x+3.

Now to convert from slope-intercept form into standard form, you will have to move everything to the left side and leave only b, or 3.

Add -3/5x to both sides.

3/5x+y = 3

You can't have a fraction in standard form, so multiply everything in the equation by 5.

3x+5y = 15

Answer is:

C. 3x+5y = 15

7 0

3 years ago

Read 2 more answers

Help me with this math problem please

mrs_skeptik [129]

Answer:

$y=8$

$RS=77, ST=31$

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

$RT=RS+ST$

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

$108=(9y+5)+(3y+7)$

On the right, combine like terms:

$108=(9y+3y)+(5+7)$

Add:

$108=12y+12$

Subtract 12 from both sides. The right cancels:

$96=12y$

Divide both sides by 12:

$y=8$

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

$RS=9y+5$

Substitute 8 for y:

$RS=9(8)+5$

Multiply:

$RS=72+5$

Add:

$RS=77$

Do the same for ST:

$ST=3y+7$

Substitute 8 for y:

$ST=3(8)+7$

Multiply:

$ST=24+7$

Add:

$ST=31$

5 0

4 years ago

Read 2 more answers

What is 2x + 4 = x + 40

d1i1m1o1n [39]

${\boxed{\boxed { ⎆ Answer :- }}} \$

$2x + 4 = x + 40 \\ 2x - x = 40 - 4 \\ x = 36$

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

8 0

3 years ago

Read 2 more answers

(GRAPH BELOW)

Rainbow [258]

Answer:

The tap drains approximately half the water from the tank in 15 minutes

The tank initially has 50 gallons of water

Step-by-step explanation:

The tap drains approximately half the water from the tank in 15 minutes. True.

This is true because see that the point (15,25) lies on the graph of the line.

Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.

The tap drains exactly one gallon from the tank every minute. False

This is false because the slope of the graph is $m=\frac{50-25}{0-15}=-\frac{5}{3}$

The tank initially has 30 gallons of water. False.

The y-intercept is the initial gallons of water which is 50.

The tank initially has 50 gallons of water. True.

The y-intercept is the initial gallons of water which is 50.

The tank takes 50 minutes to drain completely. False.

It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.

4 0

3 years ago