Jackson was selling cups of lemonade for a school football fundraiser. On Saturday, he sold a total of 26 cups.

We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $

Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

All coins are pennies and dimes
There are 309 coins in the jar
The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0

3 years ago

Solve the equation by completing the square 5x(x+6)=-50

motikmotik

First lets distribute the 5x
5x^2 + 30x = -50

Lets divide every term by 5
x^2 + 6x = -10

To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9

Add that to both sides of the equation
x^2 + 6x + 9 = -1

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)

(x+3)^2 = -1

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i

3 0

3 years ago

Xan and Katie are twins. Xan weighs 66 6 6 pounds 99 9 9 ounces, and Katie weighs 88 8 8 pounds 11 1 1 ounce. What is the differ

gtnhenbr [62]

Answer:

264 ounces

Step-by-step explanation:

#Convert Xan weight into ounces:

$1lb= 16 \ oz\\\\66\ lb=66\times 16=1056 \ oz\\\\\therefore Xan's=1056 \ oz+ 99 \ oz=1155 \ oz$

Convert Katie's 88 pounds 11 ounce to ounces:

$1lb= 16 \ oz\\\\88\ lb=88\times 16=1056 \ oz\\\\\therefore Katie's=1408 \ oz+ 11 \ oz=1419\ oz$

The difference is calculated by subtracting Xan's from Katie's:

$=1419 \ oz-1155 \ oz\\\\=264\ oz$

Hence, the difference between the weights is 264 ounces

7 0

3 years ago

A farmer market has 7/9 bushel of plums when it opens in the morning.By noon ,1/3of the plums are left .How many ,plums in bushe

FromTheMoon [43]

Answer:

farmers market sold 4/9 plums in bushel

Step-by-step explanation:

We know that at the beginning of the day we have 7/9 of a bushel of plums and that after a while there are 1/3 of a bushel of plums, so to calculate how many were sold we have to subtract the bushel of plums that were left from the initial ones

7/9 - 1/3

if we want to do this subtraction we have to find a fraction equivalent to 1/3 that can be subtracted from 7/9

1/3 = (1 * 3) / (3 * 3) = 3/9

now we are just the top and leave the denominator the same as before

7/9 - 3/9 = 4/9

8 0

3 years ago

Read 2 more answers

The ratio of pencils to erasers is 4:1 if there are 20 pencils how many erasers are there? Kerion has a beaded necklace business

Misha Larkins [42]

Answer:

we express the ratio of pencil to eraser and multiply it by the number of the number of pencils and erasers. 4/5 * x=20 , so x=25, then it implies that there are 5 erasers.

7 0

3 years ago