What is the area of the rectangle? 4.10 unit test analytical geometry

Answer:

x^2+2xy+y^2-x-y-12.

Answer:

4: 5

Step-by-step explanation:

Because if you divide 16 by 4 and 20 by 4 you get 4:5, and that is one of the options.

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Answer:

4/5

hope this helped :)

Answer:

b. or c.

Step-by-step explanation:

Answer:

The anaswers are A and B

Step-by-step explanation:

Answer: Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds

Step-by-step explanation:

From the question,

5m + 6p = 38 ......... i

m + p = 7 .......... ii

Multiply equation i by 1

Multiply equation ii by 5

5m + 6p = 38 ....... iii

5m + 5p = 35 ....... iv

Subtract equation iv from iii

p = 3

Since m+p = 7

Therefore, m + 3 = 7

m = 7-3

m = 4

Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds

Step-by-step explanation:

Lets plug in the numbers for each equations:

1.     4 x 3 + -5 = 7

     and 4 times 3 equals 12. minus 5 is 7.

2.      4^3 is just 64

3.          -5--5

           we can just change the double negative to a plus:

             -5 + 5 = 0

Answer:

B is the answer

Step-by-step explanation:

Distribute and Combine Like Terms

Step-by-step explanation:

3(7/5x + 4)-2(3/2-5/4x)

21/5x + 12 - 3 + 5/2*

21/5x + 5/2 + 12 - 3

67/10x + 9

the correct answer is b

Answer:

22 seed packets

Step-by-step explanation:

we can look at this in a couple of ways. the first way to solve this is an algebraic problem. we know that 18 flowers came from 9 packets so 18 is going to be on one side of the equation while 9 is going to be on the other. we dont know how many seeds were in each packet though so we will use x to represent the amount of seeds. now our equation looks like this: 18 = 9x. heres how to solve it:

given: 18 = 9x

to get x alone we divide each side by 9 because its the opposite of muliplication: 2 = x

answer: x = 2 seeds per packet

another way we could figure this out is by using proportions. when we see the ratio flowers to packet is 18:9, we can tell that it needs to be simplified. we know both 9 and 18 are divisible by 9 so when we do that we get the answer, our ratio of flowers to packets is 2:1.

next, we need to look back at how we solved that problem we just did, and plug in our new numbers. when doing it algebraically, we follow these steps:

plug in: 44 = (x)2

x times 2 is equal to 2x: 44 = 2x

to get x alone divide each side by 2 because its the opposite of multiplication: 22 = x

answer: x = 22

if we want to solve it using ratios and proportionalities, we set it up flowers to packets like before so we have the ratio 44:x. seeing that the ratio was 2:1 last time, we know that 44 is 2 times x, or x is 1/2 (half) of 44. so we can find half of 44 to get x. half of 44 is 22 so 44:22 is the ratio's answer.

i hope this helped :))

Answer:

7/10 is bigger.

Answer:

33.33 mph

Step-by-step explanation:

Answer:

Ankur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor

The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

Given that,

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

We have to find,

Which best describes his error?

According to the question,

The two [tex]15\dfrac{1}{3}[/tex] and [tex]-4\dfrac{2}{3}[/tex] number are mixed fractions.

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Then,

Convert the equation into an improper fraction,

[tex]= \rm \dfrac{15\dfrac{1}{3}}{-4\dfrac{2}{3}} \\\\\ Convert \ into \ improper \ fraction\\\\= \dfrac{\dfrac{15\times3+1}{3}}{\dfrac{-4\times 3+2}{3}} \\\\[/tex]

Now simplify the equation,

[tex]= \dfrac{\dfrac{46}{3}}{\dfrac{-10}{3}} \\\\\\ = \dfrac{\dfrac{46}{3} } {\dfrac{3}{-10}} \\\\\\ = \dfrac{-3}{14}[/tex]

The mistake he has committed, while dividing two fractions, he must have forgotten that one of the fractions which is in the denominator bears a negative sign before it.

Ankur forgot to put the negative sign before 3.

Hence, The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

For more details refer to the link given below.

https://brainly.com/question/3676484

30.3 m/s is the correct answer.

Answer:

aszdxcfgvhbjnk

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

20 divided by 4 = 5 ( 25%)

5 x 3 = 15 ( 75%)

Hope this Helps!

Answer:

0.6X

Step-by-step explanation:

Given that :

Discount on shirt = 40%

Regular price of shirt = X

The sales price of shirt after applying the discount will become :

Regular price - discount on price

X - (40% of X)

X - (0.4x)

= 0.6x

Hence.the sales price of shirt will be : 0.6x

Answer:

#3:  12 + N

Step-by-step explanation:

Adding a number n to 12 results in "a number more than 12."

Thus, the correct answer is #3.

Answer:

Step-by-step explanation:

given that the sample space is

24 sweets in a bag.

4 sweets are mint.

2 are humbugs.

3 sweets are jellies

sample size= 24+4+2+3= 33

The probability is the number of possible outcome/the number of event

the probability of picking a jelly is

Pr(jelly)=3/33

Pr(jelly)=1/11

Answer: 93 pages

Explanation: You are required to read 93 pages by next Monday.

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Answer:

0.91

Step-by-step explanation:

Answer: 0.91

Step-by-step explanation:

Answer:

[tex]55000 + 2500x \geq 62000 + 2000x[/tex]

Step-by-step explanation:

Given

Lenny:

Base Earnings = $55000

Raise = 2500 yearly

Karl:

Base Earnings = $62000

Raise = 2000 yearly

Required

Determine the inequality that takes years for Lenny to earn more or exact as Karl

Let y represent years:

Earnings = Base Earnings + Raise * Years

First, we need to determine Lenny's earning:

[tex]Lenny: 55000 + 2500 * x[/tex]

[tex]Lenny: 55000 + 2500x[/tex]

Next, we determine Karl's earning

[tex]Karl: 62000 + 2000 * x[/tex]

[tex]Karl: 62000 + 2000x[/tex]

To determine the required inequality, we have:

[tex]Lenny \geq Karl[/tex]

This gives:

[tex]55000 + 2500x \geq 62000 + 2000x[/tex]

Answer:

the answer is a or b and i think a

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

In a right triangle with legs x ( horizontal leg) and y ( vertical leg) and hypotenuse r, then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{r}[/tex]

Answer:

The single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Step-by-step explanation:

For the single inequality  -6 < x < 12,

To write the single inequality as two inequalities, first we will separate it into two as

-6 < x and x < 12

-6 is less than x means x is greater than -6, Hence, -6 < x can be written as

x > -6.

∴-6 < x and x < 12 becomes

x > -6 and x < 12

Hence, the single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Therefore, the correct option is the first one

x > -6 and x < 12

Answer:

1) b

2) c

3) d

4) a

Step-by-step explanation:

divide!

Answer:

2 pies

Step-by-step explanation:

A(-4,-2) B(-2,-2) C(-2, 7) D(-4, 7)

|AB| = √((-2-(-4))^2 + (-2 - (-2))

= √((2)^2 + 0^2) √4

= 2 units

|BC| = √((-2 - (-2))^2 + (7 - (-2))^2

= √5^2 = √25

= 5units.

Let |AB| = The length of the rectangle.

|BC| = The Width of the rectangle.

Hence Area = |AB| × |BC|

Area = 2 × 5 = 10 square units.

Answer:

30

Step-by-step explanation:

1/3x+1/2x=25

3x+2x/6=25

5x/6=25

5x=25*6

x=25*6/5

x=30

so, the number is 30

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