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PolarNik [594]
2 years ago
15

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

ouses that Nathaniel can build with his Lego blocks. 43B + 215H? 3000 Nathaniel wants to build 50 birds using Lego blocks. How many birdhouses can he build at most with the remaining Lego blocks?

Mathematics
2 answers:
Cloud [144]2 years ago
8 0

Answer:

3 birdhouses

Step-by-step explanation:

N76 [4]2 years ago
3 0

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.

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ZanzabumX [31]
8 1-and-a-half blocks would be 12 blocks, and so 12/17, because 12 blocks in 17 mins., so you divide 12 by 17 to get ---- blocks per minute, which is 12/17 as a fraction, or approx. 0.705882353 blocks per minute.
7 0
2 years ago
Balu and Pumba shared 2/3 of a cake. Balu got to eat three times as much cake as Pumba. What fraction of the whole cake did Balu
MatroZZZ [7]

Answer:

In fraction, Balu ate 1/2 of the whole cake

Step-by-step explanation:

Balu and Pumba shared 2/3 of a cake.

Balu eats three times as much cake as Pumba.

So let's take the 2/3 they shared as a whole.

Let's Balu share be x

And pumbs share be y

X = 3y

But x + 3y = 2/3

Since x = 3y

Y = x/3

x + x/3 = 2/3

4x/3 = 2/3

X = (2*3)/(4*3)

X = 2/4

X = 1/2

Balu ate half of the whole cake

In fraction, Balu ate 1/2 of the whole cake

6 0
2 years ago
What percent of 180 is 45? A. 4.5% B. 18% C. 22% D. 25%
Ber [7]

Answer:

D. 25%

Step-by-step explanation:

45/180=0.25

0.25 into a percent is 25%

6 0
2 years ago
Read 2 more answers
Could somebody give me the answer
umka21 [38]
Neither  the see attachments: 

4 0
3 years ago
FOR 90 POINTS PLEASE HELP
miskamm [114]

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

<u>RS= 47</u>

<u />

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

<u>x=6</u>

<u />

7 0
2 years ago
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