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Luba_88 [7]
3 years ago
11

When a number is tripled, it gives the same result as when 32 is added to it.

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

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List the sample space for rolling two dice and finding the sum of the numbers. How many 8's are there in the sample space? [Assu
Reptile [31]
Using the given assumption, there are 3.

The sample space for rolling two dice and finding the sum is:

2   3   4   5   6    7 
3   4   5   6   7    8
4   5   6   7   8    9
5   6   7   8   9    10
6   7   8   9   10  11
7   8   9  10  11  12

From the sample space alone, there are 5.  However, since a 3 and a 5 is the same as a 5 and a 3, this means that 2, 6 is the same as 6, 2 as well; this takes 2 off of the 5, leaving us 3.
5 0
4 years ago
A rectangular garden has sides of 20 feet and 15 feet. Find the length of a path that
Vsevolod [243]

Answer:

25 feet

Step-by-step explanation:

Rectangle has a length (given as 20 feet) and a width (given as 15 feet).

Also, the diagonal is the length of the side from one corner to opposite corner. THis is what we need to find. According to Pythagorean THeorem:

Length^2 + Width^2 = Diagonal^2

We know:

Length = 20

Width = 15

Now, we find the diagonal:

20^2+15^2=Diagonal^2\\625=Diagonal^2\\Diagonal=\sqrt{625}\\Diagonal=25

Hence, the diagonal (length of path that extends from one corner to the opposite corner) has a length of 25 feet.

3 0
4 years ago
What is the perimeter of the quadrilateral formed by joining the points P(-5, 1), Q(3, 7), R(6, 3), and S(-2, -3)?
Charra [1.4K]

Answer:

The answer to your question is the letter A. 30 units

Step-by-step explanation:

Data

P (-5, 1)

Q (3, 7)

R (6, 3)

S (-2, -3)

Process

1.- Find the distance from P-Q, Q-R, R-S, and P-S

dPQ = \sqrt{(3 + 5)^{2}+ (7 - 1)^{2}}

dPQ = \sqrt{8^{2} + 6^{2}}

dPQ = \sqrt{64 + 36}

dPQ = \sqrt{100}

dPQ = 10 units

dQR = \sqrt{(6 - 3)^{2} + (3 - 7)^{2}}

dQR = \sqrt{3^{2} + 4^{2}}

dQR = \sqrt{9 + 16}

dQR = \sqrt{25}

dQR = 5 units

dRS = \sqrt{(-2- 6)^{2}+ (-3 - 3)^{2}}

dRS = \sqrt{-8^{2} - 6^{2}}

dRS = \sqrt{64 + 36}

dRS = \sqrt{100}

dRS = 10 units

dPS = \sqrt{(-2+ 5)^{2}+ (-3 - 1)^{2}}

dPS = \sqrt{3^{2} - 4^{2}}

dPS = \sqrt{9 + 16}

dPS = \sqrt{25}

dPS = 5 units

2.- Calculate the Perimeter

Perimeter = 10 + 5 + 10 + 5

               = 30 units

8 0
3 years ago
Write an equation in slope-intercept form then Graph. 3x-6y=-12
worty [1.4K]

Here is the graph for 3x-6y=-12

8 0
4 years ago
Amy can only fit a dozen sticky buns on a tray. If she bakes 114 buns, how many complete trays will she have? I need hel with th
nevsk [136]

Answer:

9 and a half complete trays.

Step-by-step explanation:

A dozen is 12. Amy bakes 114 buns. Equation: 114 ÷ 12 = 9.5. Amy will have 9 and a half complete trays.

6 0
3 years ago
Read 2 more answers
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