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3 years ago

Find the mean of the integers -45 -20 -35 -25 -40

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

-33

The mean of the data set -45, -20, -35, -25, and -40 is -33.

Hope it helps.

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A grocer sells milk chocolate at $2.50 per pound, dark chocolate at $4.30 per pound, and dark chocolate with almonds at $5.50 pe

rosijanka [135]

Answer:

10 pounds of milk chocolate, 15 pounds of dark chocolate, and 10 + 15 = 25 pounds of almond chocolate

Step-by-step explanation:

Let x be the number of pounds of milk chocolate that he needs to use in the mixture. And y is the number of pounds of of dark chocolate. Since the mixture must use almonds chocolate as much as the other 2 combined in term of weight, and the total weight is 50 pounds. That means

milk_choco_weight + dark_choco_weight + almond_choco_weight = 50

x + y + (x + y) = 50

2(x+y) = 50

x+y = 25 or x = 25 - y

Since we know the price of the mixture, we can use the following equation

2.5milk_choco_weight + 4.3dark_choco_weight + 5.5almond_choco_weight = 4.54total_weight

2.5x + 4.3y + 5.5(x+y) = 50*4.54

2.5x + 4.3y + 5.5*25 = 227

2.5x + 4.3y = 227 - 137.5 = 89.5

We can substitute x = 25 - y

2.5(25 - y) + 4.3y = 89.5

62.5 - 2.5y + 4.3y = 89.5

1.8y = 27

y = 15

so x = 25 - y = 25 - 15 = 10

So we need 10 pounds of milk chocolate, 15 pounds of dark chocolate, and 10 + 15 = 25 pounds of almond chocolate

3 0

3 years ago

Find two integers whose sum is -9 and product is -10

BigorU [14]

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

5 0

3 years ago

What is the slope<br> 19,-16<br> -7,-15

zubka84 [21]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 19}}\quad ,&{{ -16}})\quad 
% (c,d)
&({{ -7}}\quad ,&{{ -15}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-15-(-16)}{-7-19}\implies \cfrac{-15+16}{-7-19}
\\\\\\
\cfrac{1}{-26}\implies -\cfrac{1}{26}$

5 0

4 years ago

Which the parabola opens,

Dmitrij [34]

Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have the tables shown in the picture.

We know the quadratic form of a parabola is:

y = ax² + bx + c

If a > 0 the parabola opens

In the equation:

y = x² - 6x

1 > 0 the parabola opens and y-intercept is:

y = 0 (plug x = 0 in the given equation)

a = 1, b = -6, and c = 0

Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

8 0

2 years ago

I really need help with this please!!

babunello [35]

J)x^2 +2x +yx+2y-5x-10
x^2-3x+yx-10

k)5y^2(1-2y)

l)a(x+y+z)

4 0

2 years ago