A gallon of water weighs 8 pounds. A bag of pebbles weighs 25 pounds. A
fish tank can hold up to 1,200 pounds. Let x represent the number of
gallons of water and y represent the number of bags of pebbles. Write a
standard form equation for the number of gallons of water and bags of
pebbles in the fish tank? (Do not add spaces and you can copy and paste
the needed inequality... sor 2)*

Point Form:

(−3, 5)

Equation Form:

x = −3,y = 5

Answer:

10 ft

Step-by-step explanation:

This is the Pythagorean theorem. a²+b²=c².

8²=64

6²=36

Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)

Answer:

7.

This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:

b + 52 = 90

b = 38.

Therefore, b is 38 degrees.

8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:

b + 117 = 180

b = 63

Therefore, b is 63 degrees.

9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:

b + 125 = 180

b = 55

Therefore, b is 55 degrees.

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8

Answer:

− 1.5 f  −19

that's the correct answer.

Answer:

b > -15

Step-by-step explanation:

4b - 12 - 55 < 9b + 8

Combine terms.

4b - 67 < 9b + 8

Subtract 9b from both sides.

-5b - 67 < 8

Add 67 to both sides.

-5b < 75

Divide both sides by -5. When dividing by a negative, flip the sign.

b > -15.

Answer:

Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula

Step-by-step explanation:

Answer:

Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.

Step-by-step explanation:

3.14. so yeahhhhhhhhhhhhhhhhh

Answer:

Volume = 14.333

Step-by-step explanation:

Answer: 14.34 cm^3

Step-by-step explanation:

V = lwh

V = 3.2 cm x 2.8 cm x 1.6 cm

V = 14.34 cm^3

Answer:

b

Step-by-step explanation:

you can take the rectagel and you x the rectagel

Answer:

C. A and C

Both pass by (1,2)

Answer:

108

Step-by-step explanation:

A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.

Answer:

15°

Step-by-step explanation:

x= 89-44-30= 15°

:))

Answer:

A = 37.5

Step-by-step explanation:

The formula for finding the are of a trapezoid is (a + b)/2(h)

a = base

b = base

h = height

A = (6.1 + 8.9) / 2(5)

A = 37.5

Answer:

The answer is 37.5.

Step-by-step explanation:

The area for a triangle is A=1/2 bh.

In this case, we have 2 triangles, so we just make it one rectangle.

Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.

You do 2/2 because the half and the two triangles cancel out.

6.1*5=30.5.

30.5+7=37.5

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

= 5 + 1/4 - 2/4

= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

Answer:

A

Step-by-step explanation:

Step 1, Identify the coordinates of each vertices in the pre image

A ( -2 , 3 )

B ( 1 , 3 )

C ( 3 , -6 )

D ( -4 . -6 )

Step 2 apply dilation.

To apply the dilation we multiply the x and y values by the scale factor. ( assuming that the dilation is about the origin. )

The scale factor is 2 so we multiply the x and y values of the coordinates by 2, which is as simple as it sounds.

A ( -2 , 3 ) -------> A' ( -4 , 6 )

B ( 1 , 3 ) --------> B' ( 2 , 6 )

C ( 3 , -6 ) ---------> C' ( 6 , -12 )

D ( -4 , -6 ) ----------> D' ( -8 , -12 )

Hence the new coordinates are A' ( -4, 6 ), B' ( 2 , 6 ), C' ( 6 , -12 ), D' ( -8 , -12) Which corresponds with answer choice A

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

Answer:

I can't find that file. please give it again.

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:

c. 99.7%.

It states that, for a normally distributed random variable:

Hence, option C is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

When distributed, 4(x+3) = 12+4x

Answer:

the answer is "D: More students prefer model A1 calculators than model C3 calculators"

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

First you want to find out how many hot dogs in this case, 3 x 8 which equals 24. Then you have to subtract 24 - 4 that equals 20.

Answer:

20

Step-by-step explanation:

There are 3 packages of hot dogs and each has 8 in it

8+8+8=24

24-4=20

Answer:

16

Step-by-step explanation:

y = k * x

Where,

y = number of cookies made = 48

x = number of cups of used = 3

k = constant of proportionality

y = k * x

48 = k * 3

48 = 3k

k = 48/3

k = 16

Therefore,

The constant of proportionality = 16

Answer:

4.11801913396

Step-by-step explanation:

Heart me pls

Answer:

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Step-by-step explanation:

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9