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love history [14]
2 years ago
11

9. Liz works at the ballpark selling bottled

Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

10 big and 27 small

Step-by-step explanation:

First do a random amount and move closer to the answer by changing the amount of bottles

110/5=22

3 x 7 = 21

Bottles too little so less big water bottles

50/5=10

81/3=27

37 bottles so Liz sold 10 big bottles and 27 small bottles.

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Acquarium workers are making a mixture of salt water. The desired ratio is 90 grams of salt per liter of water. What is the rati
Sophie [7]

Answer: 12.07 ounce/gallon.

Step-by-step explanation:

given data:

desired ratio = 90grams / liter of water.

ratio In ounce/ gallon

first we convert our grams to ounce

= 98grams / 28.35

= 3.175 ounce.

converting liter to gallons

= 1/3.8

=0.263 gallons

therefore;

= 3.175 ounce / 0.263 gallons

= 12.07 ounce/gallon.

6 0
2 years ago
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a  scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

y=12.321e^{-0.464x}

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

y=12.321e^{-0.464(2)}\\\\y=4.8710

5 0
2 years ago
Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other
Law Incorporation [45]

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

  • x*\frac{14}{25} = \frac{-28}{75}
  • x = \frac{-28}{75} * \frac{25}{14}          inverse 14/25 since it's a fraction
  • x = \frac{-28*25}{75*14}
  • x = \frac{-4*7*25}{25*3*7*2}          write 75 as 25*3 and -28 as -4*7 to simplify
  • x = \frac{-4}{6}            -4 is left on the top and 6 = 3*2
  • x = \frac{-3*2}{2*2}
  • x=   \frac{-3}{2}      
8 0
2 years ago
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
weqwewe [10]
QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12
6 0
2 years ago
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