Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer 1
Answer:

Answer:

25 meals

Step-by-step explanation:

All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)


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Evaluate the expression. -8÷-4

Answers

-8/-4 = 2

as negatives gets cancelled ! and 8/4 gives 2 !

Answer:

2 is the answer

Step-by-step explanation:

Write 9(39) using the Distributive Property. Then simplify.

Answers

9 x 3 = 27
9 x 9 = 81
27+81= 109

What is the inverse of the function f(x) = 1/4x - 12?

Answers

Hello,

1) if the equation is
y=1/4 * x-12 then x=1/4 y-12==>1/4y=x+12==>y=x/4+3

2) if the equation is
y=1/(4x-12) then x=1/(4y-12)==>4y-12=1/x==>4y=1/x+12==>y=1/(4x)+3

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer:  The correct option is (D) 9x^2-12y^2-11x.

Step-by-step explanation:  We are given to find the following sum of the polynomials :

S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.

Thus, the required sum of the polynomials is9x^2-12y^2-11x.

Option (D) is CORRECT.

(8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer

Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total weight was 2.3 pounds and cost $6.03.How many pounds of carrots and how many pounds of crackers did Glen buy?  A.0.5 pounds of carrots; 1.8 pounds of crackers  B.0.8 pounds of carrots; 1.5 pounds of crackers  C.1 pound of carrots; 1.3 pounds of crackers  D.1.5 pounds of carrots; 0.8 pound of crackers

Answers

You can solve this problem by adding/subtracting expressions.

You have two expressions here: x + y = 2.3 and 2.1x + 2.9y = 6.03

The goal is to get rid of one of the variables because when there are two variables it's pretty impossible to figure them out when you don't know either. To do this you need to add or subtract the expressions. To do that you need to make one of the variables the same in both expressions.

Let's make the x's the same. So in one problem you have x and in the other you have 2.1x. You want to multiply the x by 2.1 so they are both 2.1 x. To do that you have to multiply the whole expression by 2.1 which would be 2.1(x + y) = 2.3(2.1) which equals 2.1x + 2.1y = 4.83.

Now you have two expression 2.1x + 2.1y = 4.83 and 2.1x + 2.9y = 6.03. Change the first one to all negatives to subtract it. 2.1x + 2.1y = 4.83 becomes -2.1x - 2.1y = -4.83. Now you can subtract the expression like this.

2.1x + 2.9y = 6.03
-2.1x - 2.1y = -4.3
________________
 0x   + 0.8y = 1.2 or 0.8y = 1.2 (Hooray the x is gone!)

Now you just finish solving it. 

0.8y = 1.2
y = 1.2/0.8
y = 1.5

y represented the crackers so whatever answer has 1.5 crackers is the correct one

The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let x = number of years since 1900, and y = pounds per person. What cubic model best fits this data? YearPounds Consumed. 19021.959. 19246.373. 19467.29. 198215.817. A. y = 0.00989x3 - 0.0000872x2 + 1.192x + 0.403. B. y = -0.0000872x3 + 0.00989x2 - 0.403x - 1.192. C. y = -0.0000872x3 - 0.00989x2 - 0.403x + 1.192. D. y = 0.0000872x3 - 0.00989x2 + 0.403x + 1.192

Answers

To see what model best represents this data we have to plug in the values for x and y:
Model D :
x = 2, y = 1.959
y = 0.0000872 · 2³ - 0.00989 · 2² + 0.403 · 2 + 1.192 = 1.968
....   ...
x = 82,  y = 15.817
y = 0.000873 · 82³ - 0.00989 · 82² + 0.403 · 82 + 1.192 = 15.818
Answer:
D ) y = 0.0000872 x²- 0.00989 x² + 0.403 x + 1.192