A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?

Answer:

x = 4.5

Step-by-step explanation:

Angle B = angle C because it is an isosceles triangle.

3x32 = 87-2x

96 = 87-2x

reduce:

9 = 2x

x = 4.5

An isosceles triangle is one with two equal-length sides. The value of x is 11.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,

∠B = ∠C

3x + 32 = 87 - 2x

3x + 2x = 87 - 32

5x = 55

x = 11

Hence, the value of x is 11.

Learn more about Isosceles Triangle:

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Answer:

3 1/2 cups of food

Step-by-step explanation:

If each dog gets the equal amount of food just divide 14 by 4.

14 ÷ 4 = 3.5

Each dog got three and a half cups of food.

Answer:

each dog got 3.5 cups of food or 3 1/2 cups of food

Step-by-step explanation:

14 divided by 4 is 3.5

Answer:

Step-by-step explanation:

Answer:

y = 5/8x +1

Step-by-step explanation:

Hope this helps!

Answer:

a

Step-by-step explanation:

Answer:

77%

Step-by-step explanation:

Answer:

its 2 to the 9th power

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

A is correct because the three terms are x², 5yz, and -8.

B is 100% correct I guarantee it.

C is incorrect because ² is not a coefficient.

D is incorrect because there are three factors in that multiplication term: 5, y, and z.

Answer:

200 cm (or 2 meters) or 80% of the original 250 cm is left.  let me know if you have any questions.  

Step-by-step explanation:

I'm not sure if that's asking for an exact amount or percent, so I will do both.

The trick either way is to match units.  we have meters and centimeters.  You could make either one match the other.  so 2.5 m is 250 cm and 50 cm is .5 m.

You do have to know how many centimeters is in a meter, but once you know that you can set up unit conversions, which are super simple.

there are 100 cm in a m.  a unit conversion is basically a fraction that cancels out units.  starting with 2.5 m we want to cancel out m so the fraction we use has the m part in the denominator.  so 2.5m * (100 cm)/(1 m).  (100 cm)/(1 m) is the unit conversion, and just like variables the m in the denominator cancles out the m in the starting value so it turns into 2.5 * 100 cm/1 = 250 cm.

similarly to go from 50 cm to meters you make the unit conversion have cm in the denominator.  so 50 cm * (1 m)/(100 cm) = .5 m.  again, the cm int he denominator cancels out the cm in the unit being multiplied.  Let me knwo if this is still not clear.

Anyway, now we have the numbers we need.  let's make them all cm, I think using the smallest unit is usually easiest.  so that's 250 cm total and 50 cm used.

In pure numbers, that means 200 cm is left (which is 2 meters) after 50 cm gets used.

percents is a little trickier.  if 250 is 100% then 50 is 20%, which you can get by doing 50/250.  if you do not know, a fraction a/b gives you the percent a is of b.  Or rather it gives you a decimal, and if you multiply it by 100 it gives you the percent.

anyway, if 20% is used then 80% is left.  if you did 200/250 you would get that.

Answer:

See Explanation

Step-by-step explanation:

1:A

2:B

3:A

4:A

5:B

6:B

Answer:

B.   x < -4  and x > 3

Step-by-step explanation:

Factor and set = to 0

[tex]x^{2} + x - 12\\( x + 4)(x - 3)[/tex] = 0

x = - 4  or x = 3     I call these critical values

The two numbers would divide a number line into 3 intervals.  Pick a value in one of the intervals and put it in the original expression.  If it makes the function positive, then all the values in that interval make the function positive.  If the value you picked makes the function negative, then the values in the other intervals will make the function negative.  Let's pick the value of 0 and substitute it into the function

We get [tex]0^{2}[/tex] + 0 - 12 = -12 which is not positive.  Therefore, all the values between -4 and 3 will make the function negative.  So, the values less than -4 or greater than 3 will make the function positive.  Therefore, B is the correct answer.

Another way to do this problem is to graph the function and see where the graph is above the x-axis.  But, sometimes it is not easy to graph the function.

Answer:  2144

Step-by-step explanation:

v = 4/3pir³

v = 4/3 (3.14) (8)³

v = 4/3 (3.14)(512)

v ≈ 2144

Answer:

2,143.57 cubit units.

Step-by-step explanation:

To find the volume of the sphere, use the formula given below.

Volume = 4/3π r³

Use this formula, the value given for the radius, and 3.14 for  to find the volume.

Volume = 4/3π r³

             ~~ 4/3 (3.14) (8 units)³

             ~~ 2,143.57 cubic units

Therefore, the approximate volume of the sphere is 2,143.57 cubic units.

Answer:

slope=1  y-intercept=5

Step-by-step explanation:

there isn't much to it, but if you want me to show my work I will

Answer:

$6.48

Step-by-step explanation:

It would be $6.48 because 1.60 times 4 1/2 is 7.2 and if you do 10% of 7.2 you get B.

Answer: 1) If the decimal is being moved to the right, the exponent is negative. 2) It’s it’s moved to the left, the exponent is positive.

Step-by-step explanation:

fnejfkenfejdb that’s all I know that is correct.

Answer:

i'd say it's "a"

Step-by-step explanation:

cause x= - 1/2, 6/5 so the product of these two is 7/10

Answer:

540 degrees

Step-by-step explanation:

The sum of the degrees from a diagram with 5 vertices = 540°

Hope this helps:)

Answer:

total interior degrees = 540°

Step-by-step explanation:

total interior degrees = (number of vertices x 180°) - 360°

total interior degrees = (5 x 180°) - 360° = 540°

Answer:

​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebehhwbhakj d

Step-by-step explanation:

Answer:

m < 32

Step-by-step explanation:

m/8 < 4

m < 32

Answer:

m<32

Step-by-step explanation:

multiply both sides of the inequality by 8

[tex]8 \times \frac{m}{8} < 8 \times 4[/tex]

then, reduce the numbers with the GCF= 8

[tex]m < 8 \times 4[/tex]

-3 1/3 , -3 , -1 , - 1/2 ,  0 , 1 , 4 , 21/5 , 5 , 6,

Answer:

I'm confused because...

Step-by-step explanation:

The area of the triangle is 117.

So the surface area of the pyramid is 701.168.

Answer:

The ape counsel likes you expect bananas on ur door step tomorrow.

Answer: yes, very much peach lobotomic day

*refers to gae songez by Waterparx*

*If you've never heard of Waterparks then you just diddly darn dangity doodle better go and listen to them right this minute or suffer the consequences*

jk lol

Undertale is the best tho

Step-by-step explanation:

nyeh

heh

heh

Undertale rulez :>

Waterparks co-rulez :>>>

Answer:

D 25.o m2

Step-by-step explanation:

v = L*w*H

V=5M*5M*5M=125.0M cube

there fore area is L*W

L*W=area squer

a=5*5=25.0m square

Answer:

110x5019.2 is equal to 552169.2

Answer:

Step-by-step explanation:

A=s^2=64

s=8m

d^2=x^2+y^2, since it is a square x=y=8 then

d^2=2x^2

d^2=2(8^2)

d^2=128

d=11.3

So diagonal is approximately 11m

Answer:3

Step-by-step explanation:

3/5 divided by 2/10=3