Susan can read 15 pages in 45 minuets. How many pages can she read in 60 minutes

Answer: [tex]a^{2} = \frac{16}{625}[/tex]

Step-by-step explanation:

[tex]a = (\frac{2}{5})^{2}[/tex] ÷ [tex](\frac{9}{5})^{0}[/tex]

[tex]a = (\frac{2}{5})^{2}[/tex] ÷ 1

[tex]a = (\frac{2}{5})^{2}[/tex]

[tex](a)^{2} = ((\frac{2}{5})^{2})^{2}[/tex]

[tex]a^{2} = (\frac{2}{5})^{4}[/tex]

[tex]a^{2} = \frac{2^{4}}{5^{4}}[/tex]

[tex]a^{2} = \frac{16}{625}[/tex]

Please find attached photograph for your answer.

42,429 rounded to the nearest hundred is 42,400.

42,429 rounded to the nearest hundred is 42,400, as the tens digit (2) is less than 5, so we round down.

The question is asking to round the number 42,429 to the nearest hundred. To do this, we look at the tens place, which is 2. If the tens digit is 4 or lower, we round down; if it is 5 or higher, we round up. In this case, the digit is lower than 5, so we round down. Thus, 42,429 rounded to the nearest hundred is 42,400.

For this equation, we can simply divide the box's total (124) by 4 servings. 124/4 = 31. So, there is 31 crackers per serving.

To find out how many crackers are in each serving, divide the total number of crackers by the number of servings.

To find out how many crackers are in each serving, you need to divide the total number of crackers by the number of servings. In this case, there are 124 crackers in the box and 4 equal servings. So, you can divide 124 by 4 to get the number of crackers in each serving.

Dividing 124 by 4, you get 31. Therefore, there are 31 crackers in each serving.

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The zero of a function is the x-value where the function crosses the x-axis. With a graph, it is easier often to just look at where the function crosses the x-axis instead of calculating it mathematically.

Answer:

B) The two functions have the same initial value.

Step-by-step explanation:

we know that

distributive property of multiplication over addition:

[tex]a \times (b+c)=a \times b + a \times c[/tex]

now, we will verify each options

option-A:

4 × (7 + 6) = (4 × 7) + 6

We can see that right side does not match with property

so, this is FALSE

option-B:

4 × (7 + 6) = (4 × 7) + (4 × 6)

We can see that both sides match with property

so, this is TRUE

option-C:

4 × (7 + 6) = (4 + 7) × (4 + 6)

We can see that right side does not match with property

so, this is FALSE

Answer:

hey the correct answer is C.

Have a great day!

22 = 9x + 4 -3x

22 - 4 = -3x + 9x

18 = 6x

x = 18 : 6

x = 3

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Given that there are 5 number cards.

They are 2,5,7,8,9

Total of all numbers in the cards = 2+5+7+8+9= 31

One card is removed say with number x.

Now sum new would be =31-x   ..  i

Average of remaining 4 cards = 6

So sum of remaining 4 cards = 6(4) = 24 ... ii

i and ii represent the sum of remaining 4 cards. Hence they should be equal

31-x =24

Subtract 31 from both sides to get

-x=-7

Or x =7

Given that there are 5 number cards.

They are 2,5,7,8,9

Total of all numbers in the cards = 2+5+7+8+9= 31

One card is removed say with number x.

Now sum new would be =31-x

Average of remaining 4 cards = 6

So sum of remaining 4 cards = 6(4) = 24

represent the sum of remaining 4 cards. Hence they should be equal

31-x =24

Subtract 31 from both sides to get

card 7

Answer:

Yes, thirty six and nine thousandths is greater than four tenths

Step-by-step explanation:

Thirty six and nine thousandths greater then four tens

Thirty six is 36

nine thousandths  is 9 times 1/1000 is equal to 0.009

Thirty six and nine thousandths =[tex]36+0.009= 36.009[/tex]

four tenths is 4 times 1/10 is equal to 0.4

now we compare 36.009 and 0.4

36 is greater than 0.4

So, 36.009 is greater than 0.4

Yes, thirty six and nine thousandths is greater than four tenths

Answer:

A. Because it pass the vertical line test.

Step-by-step explanation:

Let us first understand the Vertical Line test. In this test , we draw few random vertical lines on graph and check whether any one or more than one line intersect the graph, no matter once or more. If there exists a line which intersects the graph , we say graph passes the vertical line test.

Hence this graph passes vertical line test because there are many vertical lines which intersect it.

Answer:

A.Yes, because it passes the vertical line test

Step-by-step explanation:

Divide 8 with 1/4

(8)/(1/4)

Flip the second fraction, and change the division into multiplication, then solve

(8)/(1/4) = 8 x 4 = 32

32 is your answer

hope this helps

the answer is 32.  you just divide 8 by 1/4 and you should get 32.

The best estimate of r on the scatter plot  is (b) -0.65

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points roughly appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a [negative linear] association

Because of the rough relationship, the closest estimate is (b) -0.65

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Suppose you have two lines, and consider the system of their equations:

[tex] \begin{cases} y = mx+q\\y=m'x+q'\end{cases} [/tex]

Suppose that a certain point [tex] (x,y) [/tex] belongs to the first line. This means that his x and y coordinates follow the rule [tex] y=mx+q [/tex]. Similarly, if another point [tex] (x',y') [/tex] belongs to the second line, his x and y coordinates follow the rule [tex] y'=m'x'+q' [/tex].

A system is solved by the points that satisfy both equations simultaneously. But satisfying an equation means to belong to the graph that the equation represents.

So, the solution to the system is the point that belongs to both lines, i.e. that satisfies both equations.

[tex]-7(3x-7)+21x\geq50\qquad|\text{use distributive property}\\\\(-7)(3x)+(-7)(-7)+21x\geq50\\\\-21x+49+21x\geq50\\\\(-21x+21x)+49\geq50\\\\49\geq50\ FALSE\\\\Answer:\ \text{a - no solution}[/tex]

Amount = Rate * Time

1  = Rate * Time

1/Rate = Time

Hopefully this helps!

Answer: Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

So we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from  we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players  .

therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Answer: Look at photo

Step-by-step explanation:

the answer is 20 HOPE THIS HELPS lol

Answer:the answer is 20

Area = Base x height:

area =  3 1/2 x 3/4 = 2 5/8 sq. ft.

The answer is the 2nd one.

The answer would be the second one or 2 5/8 sq ft hope that helps

To solve the system of inequalities 4x-39>-43 and 8x+31<23, we isolate x in both equations. The solution to the system of inequalities is x>-1 or x<-1.875, but since the second inequality contradicts the first one, there are no solutions.

To solve the inequalities 4x-39>-43 and 8x+31<23, we need to isolate x in both equations.

For the first equation, we add 39 to both sides and then divide by 4 to get x>-1.

For the second equation, we subtract 31 from both sides and then divide by 8 to get x<-1.875.

Therefore, the solution to the system of inequalities is x>-1 or x<-1.875, but since the second inequality contradicts the first one, there are no solutions.

Express everything in US$:

US$: $19

Hong Kong: 150 / 8 = $18.75

SAR: 130/7=$18.57

Euro: 14/0.7=$20

Best price is in SA rand.

Answer:

South African rand

Step-by-step explanation:

Answer: The angle of depression is 51.34°.

Step-by-step explanation:

1. You can make the diagram shown in the figure attached. Where [tex]A[/tex] is the point where the clue is and [tex]B[/tex] is the point where Tyler is.

2. To calculate the angle of depression, which is identified in the diagram as [tex]\alpha[/tex], you can use [tex]tan^{-1}[/tex], as following:

[tex]tan^{-1}(\alpha)=\frac{3.5}{2.8}[/tex]

3. Then, you obtain the following angle of depression from the clue to the point where Tyler is:

[tex]\alpha=51.34[/tex]°

The answer would be 8/35

Answer : 167 milliliters of the 10% solution and 333 milliliters of 4% solution

A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution.

Let x represent the milliliters  of 10% saline solution  

Total ml of solution is 500 ml

so 500-x represents the milliliters of 4% saline solution

The equation becomes

ml of 10% solution + ml of 4% solution = 500ml of 6%

10x  + 4(500-x) = 500 * 6

10x + 2000 - 4x = 3000

6x + 2000 = 3000

Subtract 2000 on both sides

6x = 1000

so x= 166.666... Hence x = 167 ml

So 167 ml is mixed with 10% of saline solution

500-x represents the milliliters  of 4% saline solution

Replace x with 167

500 - 167 = 333 milliliters  of 4% saline solution

So answer is  

167 milliliters of the 10% solution and 333 milliliters of 4% solution

[tex]H-F=\left[\begin{array}{ccc}198&201\\176&172\\256&267\end{array}\right]-\left[\begin{array}{ccc}234&245\\198&187\\312&345\end{array}\right]\\\\=\left[\begin{array}{ccc}198-234&201-245\\176-198&172-187\\256-312&267-345\end{array}\right]\\\\=\left[\begin{array}{ccc}-36&-44\\-22&-15\\-56&-78\end{array}\right]\\\\Answer:\ \boxed{A}[/tex]

log₅125 = c

[tex]125 = 5^{c}[/tex]

[tex]5^{3} = 5^{c}[/tex]

3 = c

Answer:

log₅125 = c

Step-by-step explanation: