Jack Wilson bought a tool chest and tools on the installment plan for a total cost $1600. He paid $200 down and the rest in monthly installments of $56 each. How many months will it take Jack to pay for the tool chest and tools?

Answer:

(u – t)(u² - 12) is equal to 0.5.

Step-by-step explanation:

First let's find u and t:

Given u + t = 5, and u - t = 2

We'll substitute one of those into the other equation.

Let's solve the second one for u:

u - t = 2

u = 2 + t

Now we can substitute that definition into the first equation:

u + t = 5

(2 + t) + t = 5

2 + 2t = 5

2t = 3

t = 1.5

Now we can substitute that into either of the original equations to find u:

u = 2 + t

u = 2 + 1.5

u = 3.5

So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:

(u – t)(u² - 12)

= (3.5 – 1.5)(3.5² - 12)

= (3.5 – 1.5)(12.25 - 12)

= 2 × 0.25

= 0.5

Answer:

0.5

Step-by-step explanation:

You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)

Now, system of equations to solve for u.  if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.

Answer:a

Step-by-step explanation:a

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

Answer:

q = 9

Step-by-step explanation:

the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).

so 4 will distrubute to both the q and the -5

4q - 20 = 16

add 20 to both sides

4q = 36

divide both sides by 4

q = 9

Answer:

56 units

Step-by-step explanation:

add each side, you can get the hypotenuse using the formula a^2+b^2=c^2

Answer:

V = π r 2h

Step-by-step explanation:

The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

The volume of a cylinder is given by the equation:

V = π(R)^^2*h

where π = 3.14, R is the radius and h is the height.

If in the image we see that the radius is 7, then the correct option is D.

If in the image we shee that the DIAMETER is 7 (a linear that goes from end to end of the circle and goes trough the middle) then we know that the radius is half of the diameter, 7/2 = 3.5

in this case he correct option is C.

Hence, The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

To learn more on volume click :

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complete question:

A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?

A) V = π(3.5h)2

B) V = π(7h)2

C) V = π(3.5)2h

D) V = π(7)2h

Answer:

This type of graph is B a stem graph

Answer:

B. Stem-and-leaf plot.

Step-by-step explanation:

A stem and leaf plot will typically have numbers on the left and right side, with a line separating the numbers. This graph is an example of a stem-and-leaf plot.

A line plot (example shown).

A bar graph (example shown).

A pictograph (example shown).

Answer: 48

Step-by-step explanation: you will have to multiply

Answer:

60 units

Step-by-step explanation:

Its a 5 × 3 × 4 cube

To find volume multiply the dimensions and you will get 60

Answer:

60 units

Step-by-step explanation:

I did the test.

Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

∴ X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Answer:

D.five more than the quotient of 6 and a number,

Step-by-step explanation:

To evaluate the the phrase written as :

6/r+5

Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :

6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.

Answer:

0.15

Step-by-step explanation:

Total number of students surveyed = 300

From the table,

(Girl n apple) = 46

P(girl n apple) = 46 / 300 = 0.153

Answer:

C. √18, √7, 5

Step-by-step explanation:

_____________

Answer:

The value for 6 is ones that's the answer

Answer:

14) 0.01 or 1/100

15) 0.06

16) 3.02

17) >

18)0.6

19) 100

20) 0.35

Answer:

x =-1 i think

Step-by-step explanation:

Answer:

x = -1

This is because all values of x is -1 no matter the y value

Feel free to mark this as brainliest :D

Answer:

He earned $159

Step-by-step explanation:

7.95 Times 20

Answer:

$159

Step-by-step explanation:

[tex]\frac{1}{20} :\frac{7.95}{y}[/tex]

Cross multiply.

y · 1 = 7.95 · 20

Simplify.

y = 159

Answer:

the value of x is 90 Your answer

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.

Given:

The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).

Translation: [tex](x,y)\to (x+2,y)[/tex]

Reflection: in the x-axis.

To find:

The graph of the image.

Solution:

The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).

The rule of translation is:

[tex](x,y)\to (x+2,y)[/tex]

The points after translations are:

[tex]A(2,3)\to A'(2+2,3)[/tex]

[tex]A(2,3)\to A'(4,3)[/tex]

[tex]B(-4,4)\to B'(-4+2,4)[/tex]

[tex]B(-4,4)\to B'(-2,4)[/tex]

[tex]C(-1,-3)\to C'(-1+2,-3)[/tex]

[tex]C(-1,-3)\to C'(1,-3)[/tex]

After that the figure is reflected across the x-axis. So, the rule of reflection is:

[tex](x,y)\to (x,-y)[/tex]

[tex]A'(4,3)\to A''(4,-3)[/tex]

[tex]B'(-2,4)\to B''(-2,-4)[/tex]

[tex]C'(1,-3)\to C''(1,3)[/tex]

The vertices of image are A''(4,-3), B''(-2,-4), C''(1,3).

Answer:

83,000

Step-by-step explanation:

Thousand = 1,000s place

1,000s place of 83,243 is the 3 (3,000)

The number right before 3 is the 2 (200)

2 is closer to zero than 10 so it rounds down

83,243 then becomes 83,000 since the other numbers before the (2) round down with it.

Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

Answer:

225,000 revolutions

Step-by-step explanation:

An air conditioning fan makes 125 revolutions per second

The number of revolution in 30 minutes can be calculated as follows

60 secs= 1 min

x= 30 min

= 30×60

= 1800 secs

1800×125

= 225,000

Hence the airconditioning makes 225,000 revolutions in 30 minutes

The white Christmas tree is 7.55m

Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m

High golden Christmas tree: 15.1m - 0.454m = 14.646m

The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m

Choose: A 37.296m

Answer:

2,7   2,3   3/4

Step-by-step explanation:

2,7 = 0.29  2,3 = 0.67  3/4 = 0.75

Answer:

Choice D

Step-by-step explanation:

QS ≈ TR

they have same direction, sense and magnitude

Answer:

B. QR ≅ TS

Step-by-step explanation:

Angle TR shows us that it is a right angle. Flip it to the other side as the inverse and we get the angle QR.

Answer:

[tex]\frac{8-\sqrt{6} }{2}[/tex]

Step-by-step explanation:

To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.

We can write the expression:

[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]

We can use the special product of the difference of squares to simplify the denominator:

[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]

We can use distributive for the numerator:

[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]

Now we can rewrite the fraction:

[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]

Answer:

a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].

b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].

c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

Step-by-step explanation:

Question a:

Costco is interested in finding out whether the mean transaction time is less than 310 seconds.

At the null hypothesis, we test if the mean is of 310 seconds, that is:

[tex]H_0: \mu = 310[/tex]

At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:

[tex]H_1: \mu < 310[/tex]

b) Find the test statistic and the critical value at 1% significance level.

Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.

310 is tested at the null hypothesis:

This means that [tex]\mu = 310[/tex].

A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.

This means that [tex]n = 28, X = 296, s = 48[/tex].

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is [tex]t = -1.54[/tex].

c) At 1% level of significance, what is your conclusion

The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).