There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?

A.It is possible to split the pistachios into 40 packages because each package will contain 107 pistachios.

B.It is possible to split the pistachios into 40 packages because each package will contain 108 pistachios.

C.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios.

D.It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,380 pistachios.

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

A parabola is always in the form y = ax^2 + bx + c.

Substitute each point to produce different equations:

-14 = 0a + 0b + c = c

so c = -14

-3 = a1^2 + b1 + c = a + b - 14

so a + b = 11

0 = a2^2 + b2 + c = 4a + 2b -14 = 0

so 4a + 2b = 14

if we double a + b = 11 we get 2a + 2b = 22

Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15

We don't need to use the (3,5) points as we have all the information we need.

Answer:

y= -4x^2 + 15x - 14

Step-by-step explanation:

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

Answer:

x=16

Step-by-step explanation:

Answer:

x=4 y=8

Step-by-step explanation:

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

Answer:

[tex]x=2\sqrt{2}[/tex], [tex]x=-2\sqrt{2}[/tex], [tex]x=4i[/tex], [tex]x=-4i[/tex]

Step-by-step explanation:

[tex]x^4+11x^2=3x^2+128[/tex]

First, we subtract 128 from both sides:

[tex]x^4+11x^2-128=3x^2[/tex]

Then, we subtract [tex]3x^2[/tex] from both sides:

[tex]x^4+8x^2-128=0[/tex]

Rewrite the equation:

[tex]u^2+8u-128=0[/tex]

Insert and solve:

[tex]u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i[/tex]

Please give Brainliest

Answer:26

Step-by-step explanation:

a squared+b squared= the hypotenuse squared

Input

10 squared+24 squared=the hypotenuse squared

100+576=676 squared

Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

give me brainilest

Answer:

[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]

Answer:

Not sure by the way the question is asked but I think the answer is x=(y-1)/4

Step-by-step explanation:

Subtract one from both sides: y-1=4x

Divide the four from both sides: (y-1)/4=x

Answer:

[tex] \frac{y - 1}{4} = x[/tex]

Answer:

The expression are equivalent

Step-by-step explanation:

The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :

Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;

4(2h + 2) - 7h - 8.5

8h + 8 - 7h - 8.5

8h - 7h + 8 - 8.5

h - 0.5

-0.5(1 - 2h)

-0.5 + h

= h - 0.5

Hence, both expressions are the same

the anwser is:

137 meters per minute

Answer:

[tex]30 = 10 + 4x[/tex]

Answer:

Janice rented the bike for 5 hours.

Step-by-step explanation:

The equation used to model this problem is 10 + 4x = 30. Subtract 10 from both sides. You are now left with 4x = 20. Divide both sides by 4. Now you have x = 5. This answer results in the conclusion that Janice spent 5 hours with the bike.

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Let x and y be the two numbers. Let's say that either x = y or x < y. To keep things relatively simple, we'll make both of these numbers positive.

We are told that they add to 50, so

x+y = 50

which solves to

y = 50-x

Their product is

x*y = x*(y) = x*(50-x) = 50x - x^2 = -x^2 + 50x

So the function

f(x) = -x^2 + 50x

will give us the product f(x) for the input x. Keep in mind that if we know what x is, then y = 50-x is used to find y.

The function f(x) graphs out a parabola that opens downward. Check out the diagram below. This means the very peak point of the parabola is what we're after. This is the vertex. At the vertex, we'll have f(x) maxed out as much as possible. This occurs at the point (25,625) meaning x = 25 and y = 50-x = 50-25 = 25 both multiply to x*y = 25*25 = 625, which is the largest possible product.

In short, this provides a visual means to confirm you have the correct answers for part b.

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

https://brainly.com/question/30231190

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Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

Learn more about area of a triangle;

brainly.com/question/2532574

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Answer:

The answer is letter C.

I hope it help

Answer:

5p + 11

Step-by-step explanation:

Combine like terms

6p - 4p = 2p

2p + 3p = 5p

5p + 11

Answer:

Distribute the 2 through to the (x-5)

Step-by-step explanation:

After that you get x by itself and stuff like that, but first is distributing.

9514 1404 393

Answer:

  (x, y) = (-1, 5/2)

Step-by-step explanation:

The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:

  x = 2y -6

This can be substituted for x in the second equation.

  (7/2)(2y -6) +7y = 14

  7y -21 +7y = 14 . . . . . . eliminate parentheses

  14y = 35 . . . . . . . . . . . add 21

  y = 35/14 = 5/2 . . . . . divide by the coefficient of y

  x = 2(5/2) -6 = -1

The solution is (x, y) = (-1, 5/2).

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines