A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month

Answer:

3/7 cup

Step-by-step explanation:

Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.

Let the cookies = x

Then the bread = x - 1/8 x = 7/8x

The brownies = cookies - 1/4 cookies

The brownies = 3/4 cookies = 3/4 x

==============

Now start again.

The bread uses 1/2 cup.

That translates into 1/2 = 7/8 x

x = 1/2 // 7/8 = 4/7 cup for the cookies    (4/7 is larger than 1/2)

Whatever the cookies are, the brownies take 3/4 as much

4/7 * 3/4 = 12/28 = 3/7

The answer should be 3/7 of a cup.

9514 1404 393

Answer:

  3/8 lb

Step-by-step explanation:

If all units are pounds, then we have ...

  bread = cookies - 1/8 lb

  cookies = brownies + 1/4 lb

  bread = 1/2 lb

Using the last value in the first equation, we find ...

  1/2 lb = cookies - 1/8 lb

  cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides

Using this in the second equation gives ...

  5/8 lb = brownies + 1/4 lb

  3/8 lb = brownies . . . . . subtract 1/4 lb from both sides

__

Lila used 3/8 lb of flour to make the brownies.

Answer:

y=1/2t+1

Step-by-step explanation:

To get a perpendicular line, the slopes have to be reciprocals.

Step-by-step explanation:

the answer of this question is 5.39

Answer:

D

Step-by-step explanation:

= 34/5 × 19/4

= 646/20

= [tex]32 \frac{6}{20} [/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

For better understanding check the calcualtion here .

Area of the rectangle is the space inside the given triangle .

Formula : Formula  to find the area of the triangle is length times width

Length and width are given as mixed fractions

Lets convert mixed fractions into improper fractions

[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]

Now we find out the area

[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]

Now we divide the number and find out the quotient and remainder

[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

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Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

Answer:

0 would be your anwswer

Step-by-step explanation:

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Answer:

C. [tex]30\sqrt{2}[/tex]  

I hope this helps!

The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .

To simplify the expression 3 times the square root of 200, we can break it down into smaller components .

First, let's simplify the square root of 200 :

√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2

Now, we substitute this simplified value back into the original expression :

3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2

Therefore, the simplified form of 3 times the square root of 200 is 30√2 .

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Answer:

The unit rate of change is of [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: [tex]\frac{3}{4}[/tex]

Answer:

C. x = 8 is a solution, but x = 6 is not

Step-by-step explanation:

12 + 6 = 18

12 + 8 = 20

20 - 12 = 8

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

Answer:

22 * n + 4

Step-by-step explanation:

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8 i thinkkk

Step-by-step explanation:

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8

Step-by-step explanation:

Answer:

a) I think its 2n+1

c) I think its 6n+3

d) I think its 7n-4

Answer:39

Step-by-step explanation:

If you add 28+11 you get 39 making 39-11=28

Step-by-step explanation:

W = Set of projects the guitarist wrote

P = Set of products he produced

A bass guitarist worked on 15 music projects last year.

Universal set = 15

He wrote and produced 5 projects.

W ∩ P = 5

He wrote a total of 9 projects.

W = 9

The Venn Diagram is given in the attached image.

a. How many projects he wrote but did not produce (W - P)?

W - P = W - W ∩ P

W - P =  9 - 5 = 4

He wrote 4 projects but did not produce them.

b. How many projects he produced but did not write (P - W)?

Universal set = (W - P) + (P - W) + W ∩ P

15 = 4 + (P - W) + 5

(P - W) = 15 - 9 = 6

He produced 6 projects but did not write them

Answer:

y =  -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a  ;  b  ;  and c. For that we have three conditions therefore

Condition 1       at  x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $    or      y  =  432   and

432 = a(12)² + 12*b + c      or   432 = 144*a + 12*b + c

Second condition   selling at 13 $ each T-shirt  she sells 34 , then

13*34 = 442

442  = a(13)²  +  13*b  + c    or   442 = 169*a + 13*b + c

And the third condition

11*38  = 418

418 = a* ( 121)  + 11*b  + c         418  =  121*a  +  11*b  + c

We have a three equation system

432 =   144*a + 12*b + c         (1)

442  =   169*a + 13*b + c       (2)

418 =    121*a  +  11*b  + c       (3)

We need to solve it for a,  b  and  c

Subtracting (2) - (1)        10 = 25*a  +  b    and subtracting (2) - (3)

24 = 48*a  + 2*b

Then       b  =  10 -  25*a         and     24  =  48*a + 2*( 10 - 25*a )

24  =  48*a +  20  - 50*a

24 -  20  =   -2*a

4  =  - 2*a    

a  = - 2      and   b =  10 - 25*( -2)     b = 60

Finally  c   is:    432 =   144*a + 12*b + c  

432  =  144* ( -2) + 12*60  + c

432  = -  288  +  720  +  c

432  = 432  + c

c =  0

The quadratic function is:

y =  -2*x² + 60*x

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

Answer:

70

Step-by-step explanation:

Given that:

There are twelve (12) lines in a direction and another nine 9 lines in another direction.

If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.

i.e these 11 squares are 11 inches apart.

Hence, the length of their grid = 11  inches × 11 inches = 121  inches²

Thus, for 12 in by 12 in tiles; we will have:

= [tex]\dfrac {121}{12}[/tex]

= [tex]10 \dfrac{1}{12}[/tex]

This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.

Similarly, for 8 squares and 11 inches apart;

The width = 8 inches × 11 inches = 88 inches²

Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]

= [tex]7 \dfrac{1}{3}[/tex]

It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.

Thus, the least number of tiles required = 10 × 7 = 70

Answer:

D

Step-by-step explanation:

4(z+ 4) + 5    z = 2

4(2+4)+5

4(6)+5

24+5

=29

Answer:

theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions

Step-by-step explanation:

Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Answer:

A

Step-by-step explanation:

Answer:

The x=22

Step-by-step explanation:

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

Answer:

Step-by-step explanation:

4(y-3) = 4y - 4·3 = 4y - 12

The equivalent value of the expression is A = 4y - 12

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4 ( y - 3)

On simplifying the equation , we get

A = 4 ( y - 3 )

So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )

Opening the parenthesis on both sides , we get

A = 4 ( y - 3 )

Using the distributive property , we get

A = 4 ( y ) - 4 ( 3 )

On further simplification , we get

A = 4y - 12

Taking the common factor as 4 , we get

A = 4 ( y - 3 ) = 4y - 12

Therefore , the value of A = 4y - 12

Hence , the expression is A = 4y - 12

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Answer:

Jacob has more. $8,500,000 more.

Step-by-step explanation:

4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000