Answer:
Reduced fraction: 2/3
Answer: 2/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 108 and 162 is 54
Divide both the numerator and denominator by the GCD
108 ÷ 54
162 ÷ 54
Reduced fraction:
2
3
Therefore, 108/162 simplified to lowest terms is 2/3.
Find the slope and y-intercept of the line that is y=−2/3x+5 and passes through the point (−6,4)
Use the point-slope formula.
y - y_1 = m(x - x_1)
y - 4 = (-2/3)(x + 6)
y - 4 = (-2/3)x - 4
y = (-2/3)x - 4 + 4
y = (-2/3)x + 0
y = (-2/3)x
Slope = -2/3
y-intercept = 0, which means the x-axis.
What is 15 divided by 1/5?
Answer this ASAP THIS IS URGENT AND REALLY EASY BUT I AM DUMB AND DONT KNOW THE ANSWER SO PLEASE HELP ME ON THIS IMMEDIATELY THIS IS VERY IMPORTANT!!!!!!!!!!!!
Answer:
75
Step-by-step explanation:
Answer:75
Step-by-step explanation:
1/5=.2
15/.2=75
(-11+ √-4) + (4+ √-36)
Answer:
[tex]-7 + 8i[/tex]
Step-by-step explanation:
[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2\sqrt{-1}) + (4 + 6\sqrt{-1})[/tex]
We know [tex]\sqrt{-1}[/tex] is a complex number and is defined by [tex]i[/tex]
∴[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2i) + (4 + 6i) = -7 + 8i[/tex]
Need help answering this!
Answer:
Wrong
Step-by-step explanation:
Since 54 / 12 is 4.5
Answer:
Step-by-step explanation:
the answer is b
Which of the following is a statistical question? A. How many students know how much they weigh? B. What is Kaycee's weight? C. How many students are in Kaycee's reading class? D. What are the weights of the students in Kaycee's reading class?
please help me to simplify 7+(6-4p)-2
Can u help me to simplify this expression 36+6÷3+2
Answer: 40
Step-by-step explanation: You need to divide first because of the order of operations. This gives you 36+2+2, which is 40
Answer:
The correct answer is 40
Step-by-step explanation:
When solving use PEMDAS
"Please excuse my dear aunt sally"
there are no parentheses or exponents so look for and multiplication or division and you see that there is division so solve:
6÷3 = 2
Then look for addition or subtraction and solve:
36+2+2=40
the answer is 40.
Have a blessed day.
Use the list method to write "The odd integers between 2 and 15". {2, 3, 5, 7, 9, 11, 13, 15} {3, 5, 7, 9, 11, 13} {3, 5, 7, 9, 11, 13, 15}
The answer would be {3, 5, 7, 9, 11, 13, 15}.
Answer:
The other answer is wrong the correct answer is {3, 5, 7, 9, 11, 13}
Step-by-step explanation:
Odyssey
what is the slope of the line that passes through the points (-8,-6) and (-18,6)? write your answer in simplest form.
Slope = -6/5
Work is provided in the image attached.
The slope of the line passing through the given points is -6/5.
Explanation:The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).
In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.
Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.
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What is the answer to 5-1/3n=-2
Answer:
21 = n
Step-by-step explanation:
[tex]5 - \frac{1}{3}n = -2[/tex]
-5 - 5
________________
-⅓n = -7
____ __
-⅓ -⅓
21 = n
* Dividing by a fraction is the exact same as multiplying by its multiplicative inverse:
[tex]\frac{-7}{-\frac{1}{3}} = -7 \times -3 = 21[/tex]
I am joyous to assist you anytime.
A printer cartridge with 2 1 ⁄2 milliliters of ink will print off 2 ⁄3 of a box of paper. How many milliliters of ink will it take to print an entire box?
Answer:
3 3/4 mls ink.
Step-by-step explanation:
2/3 of a box corresponds to 2 1/2 mls of ink
So one box .............................. 2 1/2 / 2/3 = 5/2 / 2/3
= 5/2 * 3/2
= 15 / 4
= 3 3/4 mls ink.
It would take approximately 3.75 milliliters of ink to print off an entire box of paper. This is based on the given that 2.5 milliliters prints off 2/3 of a box and the conversion to a full box.
Explanation:The question is asking about the amount of ink it will take to print an entire box of paper. We are given that a printer cartridge with 2.5 milliliters of ink will print off 2⁄3 of a box of paper. So, if 2.5 ml prints 2⁄3 of a box, we want to find out how much ink prints 1 full box. This is a simple ratio question.
Set up the ratios like this: 2.5 ml (ink) / (2⁄3 box) = X ml (ink) / (1 box) Simplifying this, you find that X = 2.5 ml / 2⁄3, which, when calculated, equals approximately 3.75 ml. This means it will take approximately 3.75 milliliters of ink to print off an entire box of paper.
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WENDYS PAY IS $423.00 19% OF THAT IS SUBTRACTED FOR TAXES HOW MUCH IS LEFT AFTER PAYING TAXES
Answer:
$342.63
Step-by-step explanation:
0.19 * 423 = 80.37
423 - 80.37 = 342.63
Use the work shown below to write the equation for a line that has a slope of and passes through (15, –2). y = mx + b What is the equation of the line in slope-intercept form?
Answer:
y = -2
Step-by-step explanation:
You would use the Point-Slope Formula since we are given a point:
y - y₁ = m(x - x₁)
y + 2 = 0
y = -2
Because there was no rate of change [slope] given, it was automatically assumed to be a zero slope, which is a horizontal line.
I am joyous to assist you anytime.
Answer:
D
Step-by-step explanation:
y = -2/5x+4
Hope I helped all you have to do is subsitute the values for m and b!
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statements describes how the location of segment EG affects the area of EFGH?
A.) the area of EFGH is 1/4 of the area of the rectangle if E and G are not midpoints
B.) The area of EFGH is 1/2 of the area of the rectangle only if E and G are midpoints
C.) The area of EFGH is always 1/2 of the area of the rectangle.
D.) The area of EFGH is always 1/4 of the area of the rectangle.
Answer:
C
Step-by-step explanation:
EFGH is a kite, so EF ≅ FG and EH ≅ HG.
The area of the kite consists of two area of triangles EFG and EHG.
1. Area of triangle EFG:
[tex]A_{\trangle EFG}=\dfrac{1}{2}\cdot EG\cdot h,[/tex]
where h is the height drawn from point F to the side EG.
1. Area of triangle EHG:
[tex]A_{\trangle EHG}=\dfrac{1}{2}\cdot EG\cdot H,[/tex]
where H is the height drawn from point H to the side EG.
3. Note that
[tex]EG \cong \text{rectangle's length}[/tex]
[tex]h+H\cong \text{rectangle's width}[/tex]
So,
[tex]A_{\text{kite }EFGH}\\ \\=A_{\triangle EFG}+A_{\triangle EHG}\\ \\=\dfrac{1}{2}\cdot EG\cdot (h+H)\\ \\=\dfrac{1}{2}\cdot \text{rectangle's length}\cdot \text{rectangle's width}\\ \\=\dfrac{1}{2}A_{\text{rectangle}}[/tex]
Thus, option C is true (the area of the kite doesn't depend on ratio in which points E and G divide the side)
Answer:
C.) The area of EFGH is always 1/2 of the area of the rectangle.
Step-by-step explanation:
0.019 in expanded form
Answer: zero and zero nineteenth thousandths
Step-by-step explanation:
The number 0.019 in expanded form is written as 0.010 + 0.009, which represents one-hundredth and nine-thousandths respectively.
Explanation:The student is asking for the number 0.019 to be written in expanded form. Expanded form is a way to break down a number to show the place value of each digit. The number 0.019 in expanded form can be written as:
0.010 + 0.009
The first 0.010 represents one-hundredth and the second 0.009 represents nine-thousandths.
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9. Isidro wants to purchase a used scooter that costs $79.95, The Sales
tax is found by multiplying the price of the scooter by 0.065. Find
the total amount of money Isidro will pay. Round to the nearest cent.
Answer:85.15
Step-by-step explanation:
3. Students in a sixth-grade class were asked which team was their favorite. The results are shown in the table. Find the ratio of students who preferred the Buccaneers to the total number of responses.
Answer:
37:103
Step-by-step explanation:
First, you have to identify how many people preferred the Bucaneers. That would be 74.
Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.
Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.
Lastly, you simplify your final answer.
Hope this helped!
one day the high temperature was 84 and the low temperature was 68. write a compound inequality to represent the days temperatures.
Answer:64<84
Step-by-step explanation:
The winner of a 50mile race drove his car to victory at a rate of 100.4893mph. What was his time (to the nearest thousandth of an hour)?
Answer:
His car's speed rate to the nearest thousandth of an hour is 100.489
Step-by-step explanation:
First: This is the only step, round the speed rate to the nearest thousandth:
When rounding always look at the place value they're telling you to round to and the place value to the right of it. Since, the question wants us to round to the nearest thousandth, look at the thousandths place but more specifically the place value to its right. The thousandths is the third digit behind the decimal point and the one to its right would be the fourth.
100.4893
So, if the number to the thousandths' right is less than 5 turn that number into a zero and keep the rest of the number the same. If the number is greater than or equal to 5 round up by making the number in the thousandths place a digit bigger.
Since 3 is smaller than 5, we'll turn the 3 into a zero and keep the rest the same.
100.4890
Since the zero is behind the decimal point and it is the number farthest to the left we can take it out.
100.489
Thank you for reading
Topic: Rounding, Place Value
PLEASEEEE ASAPP
what is g(2) = 3(2)^2 - 5(2) + 5
Answer:
Step-by-step explanation:
[tex]g(x) = 3x^{2} - 5x + 5[/tex]
[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]
[tex]g(2) = 3(4) - 10 + 5[/tex]
[tex]g(2) = 12 - 10 + 5[/tex]
[tex]g(2) = 7[/tex]
How much money should you invest in a savings account that pays 2.25% interest compounded quarterly to have a balance of $1,196.61 after 8 years
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&1196.61\\ P=\textit{original amount deposited}\\ r=rate\to 2.25\%\to \frac{2.25}{100}\dotfill &0.0225\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &8 \end{cases}[/tex]
[tex]\bf 1196.61=P\left(1+\frac{0.0225}{4}\right)^{4\cdot 8}\implies 1196.61=P(1.005625)^{32} \\\\\\ \cfrac{1196.61}{(1.005625)^{32}}=P\implies 999.9969 \approx P[/tex]
(20 POINTS PLZ HELP!!) plz answer all questions
(question A) What is the absulote value of |-10 + -4|
(question B) what is the absolute value of |5+2|
(question C) what is the absolute value of |--8.7|
(question D) what is the absolute value of -|-9.2|
Answer:
answer to question a is -14
answer to question b is 10
answer to question c is -56
answer to question d is -18
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
Absolute value of a number, is the value without considering its sign. For example, when we measure distance, we do not say -50 meters, we say "50 meters" because for distance, do not exist negative values.
(A) What is the absolute value of |-10 + -4|
| - 10 + -4| = | - 10 - 4| = | - 14 | = 14
(B) what is the absolute value of |5+2|
| 5 + 2 | = |7| = 7
(C) what is the absolute value of |--8.7|
| - - 8.7 | = | 8.7 | = 8.7
(D) what is the absolute value of -|-9.2|
- | - 9.2 | = - 9.2
Three brothers earn money by doing yard work. The brothers split the money equally. Write an expression that describes how much money each brother earns.
Answer:
m/3
Step-by-step explanation:
lets say they earn $600
we will use the variable m
m=money
so....
m/3
is your answer
A restaurant has 36 tables. If each can sit five people, how many can be seated at the restaurant?
Answer:
180 people
Step-by-step explanation:
If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)
hope this helped! ♡
what is the value of the expression -2(3x-2)+x+9 when the x=-3?
Value of expression at x = -3 is 28.
What is linear equations?All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.
Given expression -2(3x-2)+x+9 at x=-3
simplify equation
-6x+4+x+9 = -5x+13
substitute x= -3
-5(-3)+13 = 15+13= 28
Hence the value at x= -3 is 28
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HELP NEEDED!!
Solve Equation.
2(x-3) +5=17
A. x=9 or x=-3
B. x=7 1/2 or x=-3
C. x= 7 1/2 or x=9
D. x= 7 1/2 or x= -9 1/2
Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
Find the area of the shaded region. All angles are right angles.
Answer: 147
Step-by-step explanation:
First, 9 x 4 = 36
Again, 9 x 4 = 36
Finally 15 x 5 = 75
So, 36 + 36 + 75 = 147
Question:
5/6 + 4/9
A. 1/2
B. 9/18
C. 1 5/18
D. 1 1/2
Answer:
5/6 + 4/9 = 23 / 18
= 1 5/18
Step-by-step explanation:
Ramona and Josh and money by babysitting the amount of food for one evening or shown on the table and graph to charge per hour
Answer:
Where's the table and graph?
State a conclusion that seems reasonable.
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + = 100.
Conclusion:
Answer:
Any number plus 0 is the same as the first number.
Step-by-step explanation:
6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + 0 = 100.
Conclusion: Any number plus 0 is the number.
For example: x + 0 = x
x is the number.
Answer: 0
Step-by-step explanation:
100+0=100.
Just basic addition too. 100+0=100. That simple.
No other number can give off 100 like 0 can. 100 plus 0 just gives it the number itself.
Just like how 6+0=6. 6 is just being added to itself.
So, your answer for this is 0. No other number can give off a better answer than the 0 for this problem.
Bada bing bada boom! I hope this helps you!