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3 years ago

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A pizza restaurant has 21 topping choices and 3 crust choices. How many different 3-topping pizzas can be made if toppings can b

e selected more than once?

2 answers:

aliya0001 [1]3 years ago

8 0

It is 27, 783. Hope this helps

katen-ka-za [31]3 years ago

3 0

Answer: 27783

Step-by-step explanation:

Given : The number of toppings for pizza= 21

If repetition of toppings is allowed, then the number of different 3-topping combinations will be :-

$21\times21\times21=9261$

Also, the number of choices for crust = 3

Then, the number if different 3-topping pizzas can be made if toppings can be selected more than once will be :_

$9261\times3=27783$

Hence, the number of different 3-topping pizzas can be made = 27783

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If y is the circumcenter is angle STU find each measure

snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW= $\sqrt75units$ , YW= $\sqrt27units$

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

$YT^{2}=VY^{2}+VT^{2}$

⇒ $14^{2}=VY^{2}+9^{2}$

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, $UY^{2}=YW^{2}+UW^{2}$

⇒ $14^{2}=YW^2+11^{2}$

⇒ $YW^2=196-121=75$ ⇒ YW= $\sqrt75units$

In ΔYXU, $UY^{2}=YX^{2}+XU^{2}$

⇒ $14^{2}=YX^2+13^{2}$

⇒ $YX^2=196-169=27$ ⇒ YW= $\sqrt27units$

Hence, measures are SV=9 units., SY=14 units, YW= $\sqrt75units$ , YW= $\sqrt27units$

4 0

3 years ago

Solve the equation for all values of x.<br> (8x+9)(49x^2-100)=0

Liono4ka [1.6K]

Answer:

$x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}$

Step-by-step explanation:

8x+9=0

8x=-9

$x = \frac{-9}{8}$

or

$49x^{2}-100 = 0$

$(7x)^{2} -10^{2} =0$ ,

$(7x+10)(7x-10)=0$

$7x+10=0, 7x-10=0$

$7x=-10, 7x=10$

$x=-\frac{-10}{7}$ , $x = \frac{10}{7}$

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2 years ago

Which ratio is equivalent to 4/9

Dmitrij [34]

Answer:

D. 12/27

Step-by-step explanation:

Ratios are just like fractions

12 ÷ 3 = 4

27 ÷ 3 = 9

4/9 is 12/27 simplified by 3

5 0

2 years ago

Read 2 more answers

Classify each system of equations as having a single solution, no solution, or infinite solutions.

mina [271]

To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

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Since both equations give the same line, the first one has infinite solutions.

Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form.

x = 26 - 3y becomes
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Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions.

Now the third one. We do the same steps.

5x + 4y = 6 becomes
4y = -5x + 6
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y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again.

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2y = -x + 3
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4x + 8y = 15 becomes
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Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions.

Now the fifth one.

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Since these equations are completely different, there is a single solution.

Last one!

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Since these equations are completely different, this system has a single solution.

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3 years ago

A town council has 13 members, 7 Democrats and 6 Republicans.

bezimeni [28]

Answer:

Membership selection a town council has members Democrats and Republicans if the president and vice president are selected at random what is the probability that they are both Democrats

There is a 26.9% chance, if the president and vice-president are selected at random, that they are both Democrats. There is a 12.2% chance, if a 3-person committee is selected at random, that Republicans make up the majority.

Step-by-step explanation:

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3 years ago