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Natalija [7]
2 years ago
11

Suki is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 7 quarts. If she

fills both containers, how many cups of lemonade will she have?
Mathematics
1 answer:
Alex73 [517]2 years ago
7 0

Answer:

40 cups

Step-by-step explanation:

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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
Zina [86]

Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

y-1=(1/4)(x-12)

so

m=1/4

(12, 1)

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

Ax+By=C

where

A is positive integer

B and C are integers

we have

y-1=(1/4)(x-12)

Multiply by 4 both sides to remove the fraction

4y-4=(x-12)

x-4y=12-4\\x-4y=8

8 0
2 years ago
Read 2 more answers
A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif
astraxan [27]

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence  probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

b)

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

c)

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

3 0
2 years ago
You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for
kotegsom [21]

Answer:

q(p)= -3000p+12000

Step-by-step explanation:

For the function to be linear,

q(p)= mp + c

where

q(p): number of hamburgers sold

p: price per hamburger

m: gradient of the function

c: constant of the function

q(p)=6000 when p=2

6000=2m+c .................... equation I

0=4m+c

c=-4m........................ equation II

Substitute value of c in equation I

6000=2m-4m

m= -3000

c=12000

q(p)= -3000p+12000

6 0
2 years ago
In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did<br> Avery run?
SOVA2 [1]

Answer:

0.16km

Step-by-step explanation:

Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km

6 0
1 year ago
A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagr
avanturin [10]

Answer:

ON MONDAY:  35 mosquitos.

ON TUESDAY: 6 flies.

Step-by-step explanation:

As you can see in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can expresed this ratio as following:

3:7 or \frac{3}{7}

Based on the table:

-If the frog eats 15 flies on monday, then the number of mosquitos that it eats can be calculated as following:

\frac{3}{7}=\frac{15}{mosquitoes}\\\\mosquitoes=\frac{15*7}{3}\\\\mosquitoes=35

-If the frog eats 14 mosquitoes on tuesday, then the number of flies that it eats can be calculated as following:

\frac{3}{7}=\frac{flies}{14}\\\\flies=\frac{14*3}{7}\\\\flies=6

8 0
2 years ago
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