1/2 gallons equal how many quarts

Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh

N76 [4]

Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality $43B+215H\leq3000$ represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

$43*50+215H\leq3000$

$2150+215H\leq3000$

Let us subtract 2150 from both sides of our inequality.

$2150-2150+215H\leq3000-2150$

$215H\leq850$

Let us divide both both sides of our inequality by 215.

$\frac{215H}{215}\leq\frac{850}{215}$

$H\leq3.953488$

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

3 0

3 years ago

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ASAAPPPPPP!!!!! Complete the tables of values

velikii [3]

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$ and $a^{0}$ = 1

Substitute the values of x into $4^{-x}$

x = 0 → $4^{0}$ = 1 ⇒ a = 1

x = 2 → $4^{-2}$ = $\frac{1}{4^{2} }$ = $\frac{1}{16}$ , hence

b = $\frac{1}{16}$

x = 4 → $4^{-4}$ = $\frac{1}{4^{4} }$ = $\frac{1}{256}$ , hence

c = $\frac{1}{256}$

6 0

3 years ago

(1 point) Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red

anygoal [31]

Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.

b)What is the probability that the sum on the two dice comes out to be 11?

c)What is the probability that the sum on the two dice comes out to be 7?

d)What is the probability that the numbers on the two dice are equal?

Answer:

Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

b)What is the probability that the sum on the two dice comes out to be 11?

Total required outcome = 2

Total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum on both dice = 11) = 2 / 36 = 1/18

c)What is the probability that the sum on the two dice comes out to be 7?

Required outcome = 6

Possible outcomes = 36

P(obtaining a sum of 7) = 6/36 = 1/6

d)What is the probability that the numbers on the two dice are equal

= required outcome / possible outcomes

Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6

= 6/36 = 1/6

4 0

3 years ago

Please help!!! This is 12 points!!! I’ll mark brainliest!!!!

Nady [450]

Answer:

x: 23

y: -46

Step-by-step explanation:

so sorry if this is wrong, but i think thats it

6 0

3 years ago

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MARKING BRAINLY PLEASE JUST HELPPP

Keith_Richards [23]

Answer:

i don't it is correct or not........

Step-by-step explanation:

The Mass of Earth = 5.9742 × 1024 kilograms == == The Earth is (As of May 2000) is thought to be approximately 5.972 sextillion (5,972,000,000,000,000,000,000) metric tons.

A metric ton is a thousand kilograms, or 2,204.62 pounds.

Approximately 6,000,000,000,000,000,000,000,000 (6x1024) kilograms.

8 0

3 years ago

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