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Step2247 [10]
2 years ago
14

Briana has just finished her sixth grade scrapbook.in her scrapbook,47% of the pages include her twin sister,Bethany.The scrapbo

ok has 896 photos.About how many photos include Bethany?Use a rate per 100 to estimate
Mathematics
2 answers:
iren [92.7K]2 years ago
8 0
About 421 of the photos include Bethany (Exact=421.12)
You set 47/100 equal to x/896 and cross multiply.
denis-greek [22]2 years ago
4 0
About 421 pictures has her twin sister in them
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What number is 9 times as much as 400 ? A 391 B 409 C 3,600 D 3,609​
Eddi Din [679]

Answer:

C.3600

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8 0
2 years ago
What is the slope of the line that contains the points (-4;2) and (6;-3) ?
tester [92]

Answer:

-1/2

Step-by-step explanation:

First you use to the formula m=y2-y1/x2-x1 and then you get -5/10 or -1/2. (m= slope)

4 0
3 years ago
Round 100.9052 to the nearest 10th
laiz [17]

Answer:

100.9

Step-by-step explanation:

The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9

7 0
3 years ago
State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes
Sedbober [7]

Answer:

Maximum profit at (3,0) is $27.

Step-by-step explanation:

Let  quantity of  products A=x

Quantity  of products B=y

Product A takes time on machine L=2 hours

Product A takes time on machine M=2 hours

Product B takes time on machineL= 4 hours

Product B takes time on machine M=3 hours

Machine L can used total time= 8hours

Machine M can used total time= 6hours

Profit on product A= $9

Profit on product B=$7

According to question

Objective function Z=9x+7y

Constraints:

2x+3y\leq 6

2x+4y\leq 8

Where x\geq 0, y\geq 0

I equation 2x+3y\leq 6

I equation in inequality change into equality we get

2x+3y=6

Put x=0 then we get

y=2

If we put y=0 then we get

x= 3

Therefore , we get two points A (0,2) and B (3,0) and plot the graph for equation I

Now put x=0 and y=0 in I equation in inequality

Then we get 0\leq 6

Hence, this equation is true then shaded regoin is  below the line .

Similarly , for II equation

First change inequality equation into equality equation

we get 2x+4y=8

Put x= 0 then we get

y=2

Put y=0 Then we get

x=4

Therefore, we get two points C(0,2)a nd D(4,0) and plot the graph for equation II

Point  A and C are same

Put x=0 and y=0 in the in inequality equation II then we get

0\leq 8

Hence, this equation is true .Therefore, the shaded region is below the line.

By graph we can see both line intersect at the points A(0,2)

The feasible region is AOBA and bounded.

To find the value of objective function on points

A (0,2), O(0,0) and B(3,0)

Put A(0,2)

Z= 9\times 0+7\times 2=14

At point O(0,0)

Z=0

At point B(3,0)

Z=9\times3+7\times0=27

Hence maximum value of z= 27 at point B(3,0)

Therefore, the maximum profit is $27.

6 0
3 years ago
Figure out the question
valentina_108 [34]

Answer part A:

-6°F

Answer part B:

-7,5°F

Step-by-step explanation:

  • A: 7-13= -6
  • B: 11-5= 6 ==> 6*(-1,25)= - 7,5

3 0
2 years ago
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