A juice pitcher holds 1.5 gallons of liquid. How many 8-ounce glasses of juice can be poured from a full pitcher? (1 gallon = 128 ounces) explain by describing the steps you uses to solve the problem.

Answers

Answer 1

Answer: $1gallon=128ounces\nTo\ receive\ volume\ of\ pitcher\ in\ onces\ we\ need\ to\ multiply\ its\nvolume\ in\ gallons\ by\ ounces\ in\ 1\ gallon.\n1,5g=1,5*128=192o\nNow\ to\ receive\ answer\ we\ need\ to\ divide\ volume\ of\ pitcher\ in\nounces\ by\ volume\ of\ glass.\n192:8=24\n\nWe\ need\ to\ 24\ glasses.$

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Simplify and identify the domain -4/4x+8 times 5(x+3)x^2-9

Please help 7th grade math

Answers

Answer:

x=20, g=100, f=80

Step-by-step explanation:

when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be

3x+40+5x-20=180

8x+20=180

8x=160

x=20

Finding g

3(20)+40

60+40

g=100

FInding f

5(20)-20

100-20

f=80

the ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radiusof the small circle?

Answers

Answer:

$r_(1) = 26$ .

Step-by-step explanation:

Given : the ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm,

To find : what is the radius of the small circle.

Solution : We have given that ratio of the circumferences of two circles is 2:3.

Let $r_(2)$ is radius of larger circle and $r_(1)$ is radius of small circle .

Then circumference = $(2\pi\ r_(1) )/(2\pi\ r_(2))$ = $(2)/(3)$ .

Solving the above equation

$(r_(1))/(r_(2) )$ = $(2)/(3)$ .

We have given radius of larger circle = 39 then

$(r_(1))/(39)$ = $(2)/(3)$ .

On multiplying both sides by 39.

$r_(1) = 39 *(2)/(3)$ .

$r_(1) = 13 * 2$ .

$r_(1) = 26$ .

Therefore, $r_(1) = 26$ .

C1/C2 = 2/3

2pi r1 / 2pi r2 = r1/r2 = 2/3

r1/39 = 2/3

r1 = 39*2/3 = 26

So, your answer is 26cm

An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car from rolling down the hill. Round your answer to the nearest whole number. Do not use a space or decimal in your answer or it will be marked wrong.

Answers

Answer:

13892 lb-ft/sec^2

Step-by-step explanation:

Given that An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal.

Here acceleration due to gravity is the pulling factor against which the car should be stopped from rolling down the hill.

Weight of the car =2500 pounds

Vertical component of gravity = 32cos (90-10)=32sin 10 = 32(0.1736)

Force required = mass x acceleration

=2500x0.1736x32

=13892 lb ft/sec^2

Make sure your calculator is set to DEGREES and not RADIANS when performing your sinθ calculation. sin(10) = -0.54402 sin(10°) = 0.17365 You could also try using trig tables if you're unsure how to do this. So: 2500sin(10°) = 434 lb

Plz factor
2x^2+17x-21

Answers

2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
2a
so

-17 +/- (17^2-4(2)(-21))^1/2
2(2)
-17 +/- (457)^1/2
4

so the zeros are roughly 1.094 and -9.594

How do i find the surface area?

Answers

Surface area is what it seems to be. All of the area of the solid's faces together. Like a cube, just find the areas of all of the squares that make the cube then add them together.

Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the number of hours. Gertrude's income is g(x) = 4x + 20. If Frank and Gertrude were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Frank works 4 hours. Create the function h(x) and indicate if Frank will make more money working alone or by teaming with Gertrude.

Answers

find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35

ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35

if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71

split evenly?
71/2=35.5

frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde

Answer:

h(x)= 9x + 35, team with Gertrude

Step-by-step explanation:

Just took the (02.08) test

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