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3 years ago

10

Dakota is going to buy a rug to cover her entire kitchen floor. The width of her kitchen is 4.5 meters. The length is 8.5 meters

. What is the area of the rug that Dakota needs to buy?

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

38.25

Step-by-step explanation:

It is 4.5 times 8.5 which is 38.25

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There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail

Nata [24]

So there is a total of 6 ears, 12 paws, and 3 tails in the room.

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2 years ago

Read 2 more answers

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter

Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

= 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

= P(Z > 2.34)

= 0.0096

⇒p-value = 0.0096

7 0

3 years ago

Y=2x and x+3y=-14 substitution to solve each system of equations

Sergeeva-Olga [200]

You can use the substitution method.
You substitute the first equation to the second equation to get the value of x.
x + 3y = -14
x + 3(2x) = -14
x + 6x = -14
7x = -14
x = -14/7 = -2

Substitute the value of x to the first equation.
y = 2(-2) = 4

7 0

2 years ago

Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than

irina1246 [14]

Answer:

Sam's description = $3x+3$ , Kim's description = $5x-7$

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

<u>Solution:</u>

Let smaller number = $x$

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

= $3x+3\ (eq1)$

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times decreased by 7

= $5x-7\ (eq2)$

By equating both equation:-

$5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ x=5$

Smaller number = $x$ = 5

Larger number = $3\times5+3=15+3=18$

Therefore, equations represents the situation are $3x+3$ and $5x-7$

8 0

2 years ago

Solve for x! Someone helppp

olganol [36]

Answer:

17.2

Step-by-step explanation:

8.7x-1.9x=116.96

6.8x=116.96

x=116.96/6.8

x= 17.2

6 0

2 years ago