a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

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Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

Maximum budget = $400 + $50 = $450

Minimum budget = $400 - $50 = $350

A.) Now, the maximum guest will cost the maximum budget, therefore, we can write

Maximum guest = Maximum budget / Budget per guest

                           = $450 / $25

                           = 18

Minimum guest = Minimum budget / Budget per guest

                           = $350 / $25

                           = 14

B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.

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Answer:

have a great day

god bless you

Answer:

your answer is 8

hope this helped

Answer:

8

Step-by-step explanation:

|-7 - 1|

=> |-8|

=> 8

' | | ' represents absolute value

Absolute value of -ve number is +ve

Absolute value of +ve number is + ve

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

Step-by-step explanation:

Answer:

2 5/9

Step-by-step explanation:

2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)

The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

Here, we have,

To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:

Step 1:

Let's assume x = 2.5

Step 2:

Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5

Step 3:

Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:

10x - x = 25.5- 2.5

9x = 23 (since the repeating part subtracts to zero).

Step 4: Solve for x by dividing both sides by 9:

x = 23 / 9.

Step 5: Express the fraction 23/9 as a mixed number:

23 ÷ 9 = 2 remainder 5.

Therefore, x = 2 remainder 5/9.

so, we get,

Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

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Answer:

-213

Step-by-step explanation:

Hi there!

[tex]3|x+y|^2-(xy)^2[/tex]

Replace x with 3 and y with -5

[tex]= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213[/tex]

I hope this helps!

Answer:

5!=120 ways

Step-by-step explanation:

1st colour 5 ways

2nd colour 4 ways

3rd colour 3 ways

4th colour 2 ways

5th colour 1 way

total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways

Answer:

[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

Hello!!! I can help

Answer:

 =  − 4

Step-by-step explanation:

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

Steps:-

First put the vertices on graph and find Triangle ABC .

Then Transact it the give amount i.e 5units and get A'B'C'

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

Its the 3rd one,

Step-by-step explanation:

Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)

-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.

The number [tex]-\sqrt{100}[/tex] turns into -10 after simplification. We see that this number is both rational and an integer. The best place for it is inside the "integer" circle. Note how this circle is entirely in the "rational" rectangle. We do not place it in the "whole number" circle because whole numbers are not negative.

The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.

The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.

Check out the diagram below.

Answer:

It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.

Step-by-step explanation:

Answer:

[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]

Answer:

We have to use addition or subtraction property of equality to determine the value of variable involve.

Step-by-step explanation:

Example with variable term:

3x=4-x

Add x on both sides of equation:

3x+x=4-x+x

4x=4

x=1

Example with contact involve:

5y+7=12

Subtract 7 from both sides

5x+7-7=12-7

5x=5

x=5/5

x=1

Answer:22

Step-by-step explanation:

4*(2) + (6) +12 - 2*(2)=

8 +6 +12 -4=

14 +8= 22

Answer: 22

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-k² -(3k-5n)+4n k=-1 , n= -2

= -(-1)² - ( 3(-1) -5(-2) )+4(-2)

= -1-(-3+10)-8

= -1-(7)-8

= -1-7-8

= -16

Answer:

0.16666666666

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

dim A=(a,b), dim B=(c,d), in order to multiply, c=b

1) dim A=(1,2) , dim B=(1,2) but 2≠1

2) dim A=(2,1) , dim B=(2,2) but 1≠2

3) dim A=(2,2) , dim B=(1,2) but 2≠1

4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)