Problem of the Day

Kendra compares the unit rates for the following four boxesof cereal so she can choose the one that is the best value.

Which box of cereal should she choose?

A. 32 ounces for $3.84
B. 16 ounces for $1.76
C. 18 ounces for $2.52
D. 24 ounces for $1.92

Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

3xy ( 5x^2 +2xy +3y^2)

Distribute the 3xy to all terms in the parentheses

3xy*5x^2+3xy*2xy+3xy*3y^2

15x^3y+6x^2y^2+9xy^3

Answer:

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

Step-by-step explanation:

multiple everything in the brackets by 3xy

3xy x 5[tex]x^{2}[/tex] = 15[tex]x^{3}[/tex]y

3xy x 2xy = 6[tex]x^{2}[/tex][tex]y^{2}[/tex]

3xy x 3[tex]y^{2}[/tex] = 9x[tex]y^{3}[/tex]

15[tex]x^{3}[/tex]y + 6[tex]x^{2}[/tex][tex]y^{2}[/tex] + 9x[tex]y^{3}[/tex]

Answer:

(√3 - x)(√3 + x)

Step-by-step explanation:

Use difference of two square formula:

a² - b² = (a - b)(a + b)

So a² = 3  ⇒  a = √3

and  b² = x²  ⇒  b = x

Therefore, 3 - x² = (√3 - x)(√3 + x)

Answer:

40 degrees

Step-by-step explanation:

m<3 = m<4

2x=80

x=40 degrees

Answer:

Your answer is: 18p-5/30

To subtract fractions, find the LCD and then combine.

Step-by-step explanation:

Hope this helped : )

Answer:

Answer:

2/a^7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

If he runs 50 minutes 50 divided by 5 is 10

Answer:

Answer:

9c^2 - 30cd + 25d^2

Step-by-step explanation:

(3c - 5d)^2

= (3c - 5d) (3c - 5d)

= [3c * 3c] + [3c * -5d] + [-5d * 3c] + [-5d * -5d]

= 9c^2 - 30cd + 25d^2

Answer: 12

Step-by-step explanation:

to find this, divide 4 by 1/3:

4/(1/3) = 4x3 = 12

there are 12 1/3 cup servings in 4 cups

Answer:

Hey there!

Contains 4 cups of trail mix

He wants 1/3 go cup servings

=> 4 ÷ 1/3

=> 4×3/1

=> 12

Therefore, there are 12 of 1/3 in 4 cups

Answer:

19a - 141
-------------
     18

Step-by-step explanation:

Combine multiplied terms into a single fraction

Combine multiplied terms into a single fraction

Multiply the numbers

Answer:

6

Step-by-step explanation:

18 ÷ 3 = 6

3+3+3+3+3+3=18

Answer:

6 per row

Step-by-step explanation:

If Maddie has to spread out a total number of flowers (18) over a set number of sections (3) you would be able to solve this by dividing the total into the sections, which would look something like 18/3.

Answer:

1 solution

No solution

Infinitely many solutions

1 solution

Step-by-step explanation:

2.3x - 7 = -7

2.3x = 0

x = 0

1 solution

3x = 5 + 3x

0 = 5

No solution

4(10 - x) = 40 - 4x

40 - 4x = 40 - 4x

Infinitely many solutions

-7 + x = -(x + 7)

-7 + x = -x - 7

2x = 0

x = 0

1 solution

Answer:

he is right

Step-by-step explanation:

The value of x that will make the considered parallelogram ABCD a rhombus is 4 units.

Rhombus is a parallelogram whose all sides are of equal lengths.

For this problem, the missing figure is attached below.

We see that the angle between the diagonals is [tex](3x- 12)^\circ[/tex]

It is given that ABCD is a parallelogram.

For ABCD parallelogram to be a rhombus, its diagonals need to be perpendicular to each other.

Perpendicular lines have 90° angle between them.

Thus, we need:

[tex](3x- 12)^\circ = 90^\circ[/tex]

Evaluating value of x:

[tex](3x- 12)^\circ = 90^\circ\\3x - 12 = 90\\\text{Adding 12 on both the sides}\\3x = 102\\\text{Dividing both the sides by 3}\\\\x = 12/3 = 4[/tex]

Thus, the value of x is 4

Learn more about rhombus here:

https://brainly.com/question/1542707

Answer:

ANSWER:   x=34

Step-by-step explanation:

E2020

[tex]\begin{cases} x=-5\implies &x+5=0\\ x=3\implies &x-3=0 \end{cases}\qquad \implies \underline{a(x+5)(x-3)~~ = ~~\stackrel{0}{y}} \\\\\\ \stackrel{\textit{we also know that}}{P(0)=-30}\implies \begin{cases} x=0\\ y=-30 \end{cases}\implies a(0+5)(0-3)~~ = ~~-30 \\\\\\ a(5)(-3)=-30\implies -15a=-30\implies a=\cfrac{-30}{-15}\implies \boxed{a=2} \\\\[-0.35em] ~\dotfill\\\\ 2(x+5)(x-3)=y\implies 2(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \underline{2x^2+4x-30=y}[/tex]

Check the picture below.

Answer:

all rational numbers

Step-by-step explanation:

24+3x=3x+2(3*4) shows that there can only be two possible answer, all integers or no solution. As you can see 2*3*4 is 24, making the answer all rational numbers.

Answer:

r≈ 5.9 cm

Step-by-step explanation:

Answer:

p = 23

q = 18

Step-by-step explanation:

The four interior angles of a square are all 90° each

 4p - 2 = 90

⇒ 4p = 92

⇒ p = 92 ÷ 4

⇒ p = 23

 5q = 90

⇒ q = 90 ÷ 5

⇒ q = 18

Answer:

p=23; q=18.

Step-by-step explanation:

1) m∠(XWZ)=90, then 4p-2=90 and p=23°;

2) m∠(WZY)=90, then 5q=90 and q=18°.

Answer:

(-1, -6)

Step-by-step explanation:

If you do rise over run you get the same slope as 8x+7y=-50

Step-by-step explanation:

All we have to do is apply the Pythagorean theorem which states that a²+b²=c²

where c is the hypotenuse of the triangle or the side facing the 90° angle.

Moreover a & b are the other two sides of the triangle.

[tex]11 {}^{2} = {9}^{2} + h {}^{2} [/tex]

where h is the height from the ground

[tex]121 = 81 + {h}^{2} [/tex]

[tex]h {}^{2} = 121 - 81[/tex]

[tex]h {}^{2} = 40[/tex]

[tex]h = \sqrt{40} = 6.324[/tex]

Rounding to the nearest tenth,

[tex]h = 6.3[/tex]

Answer:

[tex]y=\dfrac{2xz}{(z-x)}[/tex]

Step-by-step explanation:

Given:

[tex]\dfrac{1}{x}=\dfrac{2}{y}+\dfrac{1}{z}[/tex]

[tex]\implies \dfrac{2}{y}=\dfrac{1}{x}-\dfrac{1}{z}[/tex]

[tex]\implies \dfrac{2}{y}=\dfrac{z-x}{xz}[/tex]

[tex]\implies 2xz=y(z-x)[/tex]

[tex]\implies y=\dfrac{2xz}{(z-x)}[/tex]

When x = 5 and z = 10:

[tex]\implies y=\dfrac{2(5)(10)}{(10-5)}[/tex]

[tex]\implies y=\dfrac{100}{5}[/tex]

[tex]\implies y=20[/tex]

Answer:

c; 54

Step-by-step explanation:

to find the answer you can first add all the books together

this can be represented by

3 + 2 + 2.5 + 1.5

this answer is 9

then multiply it by 6

9 * 6 = 54

is is c

Answer:

68.58m

Step-by-step explanation:

hope it helps!!!

Answer:

A: the cost per pund of coffee

Step-by-step explanation:

You need x and y- values. So one would be the pound (x) and the other would be the cost (y)

Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is

Pr(3) = 0.5

Given Data

Sample Space

Total Sample size = 6

Probability of identifying 3 ingredient used is

Pr(3) = 3/6

Pr(3) = 1/2

Hence the Probability is 0.5

Learn more about probability here:

https://brainly.com/question/25870256

Answer:

1/20

Step-by-step explanation:

From Kahn

The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350

Area of figure = area of trapezoid + area of rectangle

A(rectangle) = 18 x 5 = 90 cm2
A(trapezoid) = (10+18) x (13-5) : 2 = 112 cm2

A(figure) = 112 + 90 = 202 cm2

Answer:

D: no real solutions

Step-by-step explanation:

The critical values of Z in this study are given by: Option C: -1.96 and 1.96

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

For this case, we want to know if the two groups of teachers had different levels of job satisfaction.

Suppose that we have:

Then, as the test is for checking if the difference exist, the null hypothesis will deny existence of any difference.

Thus, we get:

The alternate hypothesis creates two regions, on either side as:

[tex]\mu_1 < \mu_2[/tex] and [tex]\mu_1 > \mu_2[/tex]

This is why it is two tailed test.

The level of significance is 5% specified.

Thus, [tex]\alpha = 5\% = 5/100 = 0.05[/tex]

From the critical values table, the critical value(s) of Z for level of significance 0.05 and for two tailed test are: [tex]\pm 1.96[/tex]

Thus, the critical values of Z in this study are given by: Option C: -1.96 and 1.96

Learn more about hypothesis testing here:

https://brainly.com/question/18831983

Answer:

Step-by-step explanation:

its option B

Answer:

I think it is 60°

Step-by-step explanation:

b/c angle of triangle is 180° and when we divide 180° by 3 it will be 60°