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mrs_skeptik [129]
3 years ago
5

Even better morning yall

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

48 cups

Step-by-step explanation:

4 gallons = 64 cups

1 gallon =  64 ÷ 4

1 gallon = 16 cups

3 gallons = 16 * 3 = 48 cups

Naya [18.7K]3 years ago
4 0

Answer:

48 cups are in 3 gallons

Step-by-step explanation:

In the picture, it says that there are 64 cups in 4 gallons.

If we divide \frac{64}{4}, (to find out how many cups are in 1 gallon) we get 16 cups.

And 16 x 3 equals 48 cups.

Hope dis helps you

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Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca
alexgriva [62]

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

4 0
3 years ago
1,000.00 at 4.5% interest for 2 years
siniylev [52]
Each year we add 4.5% interest.
4.5% as a decimal is 0.045.
We multiply by 1.045 to add this interest.
(not 0.045, this would just be the interest and wouldn't keep the whole)

To start: $1,000
Multiply by 1.045 for the first year.
Now we have $1,045.
Multiply by 1.045 again for the second year.
Now we're at 1092.025.
We need to round up to the nearest cent...$1,092.03
4 0
3 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
Which function is shown in the graph below? Please hurry I’m being timed!!!
satela [25.4K]
It is option 4 i think i used my graphing calculator and it looked similar
7 0
3 years ago
. An object dropped from a height of 200 meters has a height, h(t), in meters after t seconds have lapsed, such that h(t) = 200
Veronika [31]

Answer:

t(h)= (h-200)/-4.9

The time to reach a height of 50 meters is 30.6 seconds

Step-by-step explanation:

To express t as a function of height (h) we must transform the equation below:

h=200-4.9t

h-200=-4.9t

(h-200)/-4.9=t

t(h)= (h-200)/-4.9

To find the time to reach a height of 50 meters, we must replace this value on the new equation:

t(h)=50-200/-4.9

t(h)= 30.612

The time to reach a height of 50 meters is 30.6 seconds

8 0
4 years ago
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