Answer:
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.
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.
b)1
c)-5
d)-10
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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Answer:
fifth gear is also rotating clockwise
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?
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 total of 552.86 cm of steel is used in the frame development.
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:
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