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2 years ago

Mr. Skinner has four dogs. He recorded the number of cups of dog food each dog ate over the same month.

1 answer:

5 0

So to find the answers for each of these, divide the first dog's amount mentioned by the second dog's amount mentioned. For instance, the first one would be 45 over 60, also equal to 3/4. So Bailey ate 3/4 cup for every cup fido ate. Repeat this same process with all the other questions and you can get the following answers:
Fido ate 1 1/3 cup for each cup Bailey ate.
Gunner ate 2 1/2 cups for each cup Spot ate.
Spot ate 2/5 cup for each cup Gunner ate.
Hope this helps!

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A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$

$2 + x = 2.8 + 0.7x$

$0.3x = 0.8$

$x = 8/3\ quarts$

$y = 4 + 8/3 = 20/3\ quarts$

Part B:

If he shoots a total of ten targets, we can write the equation:

$x + y = 10$

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

$2x + 3y = 23$

If we subtract the second equation by two times the first one, we have:

$2x + 3y - 2*(x + y) = 23 - 2*10$

$2x + 3y - 2x - 2y = 23 - 20$

$y = 3$

$x + 3 = 10$ ⇒ $x = 7$

4 0

3 years ago

Write the expression as a product of polynomials:

Sonja [21]

(b+c)(x+3)
I hope this is true

3 0

3 years ago

Multiplying trinomial

sergiy2304 [10]

Okay so:

To multiply two trinomials, we will have to multiply each term of the second trinomial by the first term of the first trinomial and then repeat the multiplication by multiplying each term of the second trinomial by the second term of the first trinomial and finally, multiply each term of the second trinomial by the third term of the first trinomial. This can be done by either the horizontal method or the vertical method of multiplication. Now, group the like terms together and add them.
Given below are some of the examples in solving trinomials multiplication.

Trinomials can be applied various operations just as other polynomials, like - addition, subtraction, multiplication and division. Especially, we are going to study about multiplication of trinomials. The distributive method can be used to multiply two trinomials. In this case, multiplicand and the multiplier both are trinomials. Multiplication of the trinomials can be done by either the horizontal method or the vertical method of multiplication. Let us go ahead and learn how to multiply two or more trinomials together.

Alright Hope this helps you

6 0

3 years ago

Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .