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d1i1m1o1n [39]
3 years ago
9

Help with everything please thank you

Mathematics
1 answer:
valentinak56 [21]3 years ago
6 0

Step-by-step explanation:

1) 8=64÷r

8r=64

r = 64/8

r = 8

(8×8=64)

2)5p=30

p =30/5

p =6

3)56÷f =8

8f = 56

f =56/8=7

4)155/7

22.14...

aproximately 22 tables

5)185/8

=23.125

to serve each with a whole slice there should be 24 pizzas

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What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
PolarNik [594]

Answer:

a. 5

Step-by-step explanation:

To find slope, subtract the y's.

5 - -5 is 10.

Put that on the top of a fraction.

Subtract the x's.

3 - 1 is 2, put that on the bottom of the fraction.

So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).

The slope is 5.

8 0
2 years ago
Solve x2-8x=3 by completing the square. which is the solution set of the equation
Mazyrski [523]

we have

x^{2}-8x=3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2}-8x+16=3+16

x^{2}-8x+16=19

Rewrite as perfect squares

(x-4)^{2}=19

(x-4)^{2}=19\\ (x-4)=(+/-)\sqrt{19} \\ \\ x1=4+\sqrt{19} =8.359\\ x2=4-\sqrt{19} =-0.359

therefore

the answer is

x1=4+\sqrt{19} =8.359\\x2=4-\sqrt{19} =-0.359

5 0
3 years ago
Read 2 more answers
A rectangular prism. The rectangular base has a length of 5 centimeters and width of 4 centimeters. What are the dimensions of t
AVprozaik [17]

Answer:

dimension is 5cm * 4 cm

Step-by-step explanation:

As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.

Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.

see photo

3 0
3 years ago
789/548x-89/887=688/8724 find x
Olin [163]

\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}

so:

\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0
3 years ago
2(2x+3×-4)+2(4x-6x+8) Cuanto es ?​
nikdorinn [45]
First you need to distribute the 2 into each equation and then add like terms. the answer is 6x + 8
3 0
3 years ago
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