Factor the expression:
280z - 25y - 30
PLS ASAP

Answers

Answer 1
Answer:

Answer:

5(56z - 5y - 6)

Step-by-step explanation:

Forst step is finding a common factor, you can do this easily by looking at the ones digit. All 3 values end in 0 or 5, so a factor is definately 5.

We now divide all values by 5.

280z / 5 = 56z \n  (- 25y)  / 5 = ( - 5y) \n ( - 30)  / 5 = ( - 6)

Once you get a prime number after factoring, that is the GCF, Greatest Common Factor. We can make an equation like what is below to show oir factored answer.

5(56z - 5y - 6)


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what value of X makes the equation 4x -5= -6x+15 true?                                                                  a)2
b)1
c)-5
d)-10

Answers

The solution is Option A.

The value of x in the equation 4x - 5 = -6x + 15  is x = 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the value of equation A is

4x - 5 = -6x + 15   be equation (1)

Now , on simplifying the equation , we get

4x - 5 = -6x + 15

Adding 6x on both sides of the equation ,we get

10x - 5 = 15

Adding 5 on both sides of the equation , we get

10x = 20

Divide by 2 on both sides of the equation, we get

x = 20/10

x = 2

Therefore , the value of x is 2

Hence , The value of x in the equation 4x - 5 = -6x + 15  is x = 2

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4x -5= -6x+15       separete terms by kind

4x + 6x = 15 + 5    calculate

10x = 20               divide all by 10

x = 2     ALTERNATIVE A

Estimate 219 and 445

Answers

Estimation: 200 and 400. If a number is less than 50, depending on whether in the hundreds or thousands (1500 in this case), the number can be estimated to 2000. But since both numbers are less than 250 or 450, the number remains 200 and 400

There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.If the first gear is rotating clockwise, what direction is the fifth gear turning?

Answers

Answer:

fifth gear is also rotating clockwise

The weight of a person on Venus is directly proportional to their weight on Earth. Aperson weighing 120 pounds on Earth weighs 106 pounds on Venus.
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?

Answers

Answer:

a person would weigh 158 pounds on venus

Step-by-step explanation:

weight of a person on venus is directly proportional to their weight on earth

i.e. weight on venus ∝ weight on earth

weight on venus = k * weight on earth

where k is the constant of proportionality

according to the question:

106 = k * 120

k = 106/120 = .88

thus,

person weighing 180 pounds on earth weighs on venus:

weight on venus = .88 * 180

  = 158 pounds

A decorative steel frame is shown below it is made of a circular section and and 6 stems the length of each stem is 45 cm work out the total length of Steel used in the frame

Answers

A total of 552.86 cm of steel is used in the frame development.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a decorative steel frame is shown below it is made of a circular section and and 6 stems the length of each stem is 45 cm.

Assume that the total length of the steel used is [x] cm. Then -

x = 2πr + 6r

x = 2 x 22/7 x 45 + 6 x 45

x = 282.86 + 270

x = 552.86 cm

Therefore, a total of 552.86 cm of steel is used in the frame development.

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Answer:

552.78

Step-by-step explanation:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is How many Starburst are in the bucket?

Answers

Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18