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3 years ago

Kelsey earns $310 more than Michelle each month.Show all work to justify your answer

Mathematics

1 answer:

WINSTONCH [101]3 years ago

3 0

310>m

310= how much more Kelsey makes than Michelle
m=how much Michelle makes

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A student is 5 feet, 2 inches tall. What is her height in meters?

Maurinko [17]

We know that 1 feet is 0.3m and that 1 inch = 0.0254 m
To get the result we have to multiply 5 feet by 0.3 and 2 inches by 0.0254 and add it.
5*0.3=1.5
2*0.0254=0.0508
Now adding
1.5+0.058=1.55m - its the answer

6 0

4 years ago

What is 3/4- (-5 1/4) =<br><br> NEED HELP ASAP

Fantom [35]

Answer:

Step-by-step explanation:

$\frac{3}{4} - (-5\frac{1}{4})$

-5 1/4 is a mixed fraction. so we convert it into improper fraction

$-5\frac{1}{4}=-\frac{5*4 +1}{4}=-\frac{21}{4}$

$\frac{3}{4} - (-\frac{21}{4})$

negative and negative becomes positive

$\frac{3}{4} +\frac{21}{4}$

Both fractions have same denominators. so we can combine the numerators

$\frac{3+21}{4}=\frac{24}{4}$

Divide the fraction

$\frac{24}{4}=6$

3 0

3 years ago

Solve the equation uding the most direct method: 3x(x+6)=-10?

Tanzania [10]

To solve this problem, you will use the distributive property to create an equation that can be rearranged and solved using the quadratic formula.

<h3>Distribute</h3>

Use the distributive property to distribute 3x into the term (x + 6):

$3x(x+6)=-10$

$3x^2+18x=-10$

<h3>Rearrange</h3>

To create a quadratic equation, add 10 to both sides of the equation:

$3x^2+18x+10=-10+10$

$3x^2+18x+10=0$

<h3>Use the Quadratic Formula</h3>

The quadratic formula is defined as:

$\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The model of a quadratic equation is defined as ax² + bx + c = 0. This can be related to our equation.

Therefore:

a = 3
b = 18
c = 10

Set up the quadratic formula:

$\displaystyle x=\frac{-18 \pm \sqrt{(18)^2 - 4(3)(10)}}{2(3)}$

Simplify by using BPEMDAS, which is an acronym for the order of operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

$\displaystyle x=\frac{-18 \pm \sqrt{324 - 120}}{6}$

Simplify the radicand:

$\displaystyle x=\frac{-18 \pm \sqrt{204}}{6}$

Create a factor tree for 204:

204 - 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204.

The largest factor group that creates a perfect square is 4 × 51. Therefore, turn 204 into 4 × 51:

$\sqrt{4\times51}$

Then, using the Product Property of Square Roots, break this into two radicands:

$\sqrt{4} \times \sqrt{51}$

Since 4 is a perfect square, it can be evaluated:

$2 \times \sqrt{51}$

To simplify further for easier reading, remove the multiplication symbol:

$2\sqrt{51}$

Then, substitute for the quadratic formula:

$\displaystyle x=\frac{-18 \pm 2\sqrt{51}}{6}$

This gives us a combined root, which we should separate to make things easier on ourselves.

<h3>Separate the Roots</h3>

Separate the roots at the plus-minus symbol:

$\displaystyle x=\frac{-18 + 2\sqrt{51}}{6}$

$\displaystyle x=\frac{-18 - 2\sqrt{51}}{6}$

Then, simplify the numerator of the roots by factoring 2 out:

$\displaystyle x=\frac{2(-9 + \sqrt{51})}{6}$

$\displaystyle x=\frac{2(-9 - \sqrt{51})}{6}$

Then, simplify the fraction by reducing 2/6 to 1/3:

$\boxed{\displaystyle x=\frac{-9 + \sqrt{51}}{3}}$

$\boxed{\displaystyle x=\frac{-9 - \sqrt{51}}{3}}$

The final answer to this problem is:

$\displaystyle x=\frac{-9 + \sqrt{51}}{3}$

$\displaystyle x=\frac{-9 - \sqrt{51}}{3}$

3 0

2 years ago

X = y - 3<br> 2x + y = 12<br> pls hurry i need badly

vfiekz [6]

$\huge \colorbox{yellow}{Question}$

$2x + y = 12$

$\huge \colorbox{yellow}{Answer}$

$x = y - 3 \: (equation \: 1)$

$2x + y = 12 \: (equation \: 2)$

Substituting the value of x in

( equation 2)

$2x + y = 12$

$2(y - 3) + y = 12$

$2y - 6 + y = 12$

$2y + y = 12 + 6$

$3y = 18$

$y = 18 \div 3$

$y = 6$

Now we get y = 6

Substituting the value of y in

( equation 1 )

$x = y - 3$

$x = 6 - 3$

$x = 3$

Now we get x = 3

$\huge \mathsf\red{Final \: Answer}$

5 0

3 years ago

What is the smaller number -1, 3, 7, 9, or 11.

Vsevolod [243]

Hey there!

<h2>ANSWER: $-1$ </h2><h2>EXPLANATION:</h2>

$\text{What is the smallest number?: -1,3,7,9,11}$

All numbers are positive except -1. If a number is negative, then that negative number will be less than a positive. All are positive and -1 is negative. Since that's the only negative, -1 is the smallest number.

$-1\text{ is the smallest number.}$

Hope this helps!

$\text{Please rate this answer, or mark brainliest, and don't forget to thank!}\\\text{-TestedHyperr}$

6 0

3 years ago