A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events. If 15 students do field events only and 10 do both swimming and track events, how many students do a) swimming knly b)track events only c) all three events?

Answer:

80°+65°+2x+3x=360°(sum of quadrilateral is 360)

145°+5x=360°

5x=360°-145°

5X=215°

X=215°/5°

X=43°

The required value is [tex]x=43[/tex]

Given angles are,

[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]

As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].

Then we have the relation,

[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]

So, the value of the x is 43.

Find out more information about the topic:https://brainly.com/question/8565742

9514 1404 393

Answer:

  C. f(x) = 2(3^x)

Step-by-step explanation:

The y-intercept is the function value when x=0. Your choices are ...

  A. f(0) = 1 +2 = 3

  B. f(0) = 3(1) = 3

  C. f(0) = 2(1) = 2 . . . . . the function of interest

  D. f(0) = 2(1) -2 = 0

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

R=x = R= −2 =x =6 =R =x =− 3=

Step-by-step explanation:

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

Answer:

-The equation for this problem is:

y=50,000+20,000x

-The money in Sweet Sauce's account after July 31st is $190,000

-The money in the account after 2 years is $530,000.

Step-by-step explanation:

With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:

y=50,000+20,000x, where:

y is the money in the account

x is the number of months that have passed

Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:

y=50,000+(20,000*7)

y=50,000+140,000

y=190,000

Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:

y=50,000+(20,000*24)

y=50,000+480,000

y=530,000

Answer:

B is the answer

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\sqrt{72}}[/tex]

[tex]\mathsf{\sqrt{36\times2}}[/tex]

[tex]\mathsf{\sqrt{36}\ \sqrt{2}}[/tex]

[tex]\mathsf{\sqrt{36}=\bf 6}[/tex]

[tex]\mathsf{\sqrt{2}=\bf 2}[/tex]

[tex]=\bf\ 6\sqrt{2}[/tex]

[tex]\mathsf{\sqrt{71}\approx\bf 6\sqrt{2}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\sqrt{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

<B=<D

Step-by-step explanation:

This is becasue angle B is 90 degrees while angle D is 29 degrees.

Answer:

Volume of the larger one = 476.5625

Step-by-step explanation:

Remark

This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.

Equations

Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h

Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)

Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)

Solution

Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)

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

Surface area of the smaller cylinder         (2pi*r^2 + 2pi*r*h)

surface area of the larger cylinder = k^2

surface are of the smaller cylinder = 1

200 / 128 = k^2 / 1      Divide the top and bottom of the left by 8

25 / 16 = k^2               Take the square roots of both sides

sqrt(25/16) = sqrt(k^2)

5/4 = k

Now work on the volume.

The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h

The volume of the smaller cylinder =                                pi * r^2 h

The volume of the larger cylinder to the smaller one = k^3 = 1.953125

x / 244 = 1.953125       Multiply both sides by 244

x = 1.953125 * 244

x = 476.5625

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343

for number one, the mean would be 45 minutes

for number 9, he wants to use the number of minutes that occurred most often as that is the definition of mode

please mark branliest it’d be appreciated ♡

Answer:

5/6 is your answer

Step-by-step explanation:

no. of favourable observation/ total no of observation

Answer:

that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

Mean = Sum of terms/ Number of terms

Mean = 9+12+9+14+6/5

= 50/5

= 10

Step 2

We find the sample variance

Formula =

(x - Mean)²/n - 1

n = 5

= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1

= 1+ 4+ 1+ 16+16/5 - 1

= 38/5 - 1

= 38/4

= 9.5

Therefore, Sample variance = 9.5

Answer:

47.5 ft^2

Step-by-step explanation:

5x9.5 = 47.5 ft^2

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

Answer:

4 miles in 1/3 hour

Step-by-step explanation:

Answer:

733 x 60 = 43,980.

Step-by-step explanation:

Another way to do this equation is by adding 733 by itself 60 times.

Answer:

[tex]8^{-5}[/tex]

Step-by-step explanation:

[tex](8^{-8})(8^3)\\8^{-5}[/tex]

Exponent equation:

3 - 8 = -5

So this the remaining exponent

Answer:

7 is the answer

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

when you put it into a calculator it equals 7.74596669241

which is more than 6, but less than 8

Answer:

only the circle graph

Step-by-step explanation:

Answer:

Only the graph

Step-by-step explanation:

Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you

Answer:

Check pdf

Step-by-step explanation:

Answer:

245 degrees

Step-by-step explanation:

The circle is 360 degrees and you have only found 55 and 60  you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.

Answer:

120 degree

Step-by-step explanation:

jn-60 vwrtical oopsite angle

nk 180

jk 180-60

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation