Answer:
3 1/4 + 2 7/8= 6 1/8
Step-by-step explanation:
1. Cross multiply 1/4 and 7/8 which equals 1 1/8.
2. 3+2+1(from cross multiplying)= 6
Answer: 6 1/8
Using fraction strips, the result of 3 1/4 + 2 7/8 is 6 1/8.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, Jane is adding 3 1/4 + 2 7/8 using fraction strips.
Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.
First, we will add fraction parts
=> 1/4 + 7 / 8
We can write 1/4 as 2/8 since they have the same values
=> 2/8 + 7/8
Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 2/8 and 7/8
=> 9/8
=> 8/8 +1/8
=> 1 + 1/8
Thus the sum = 3 + 2 + 1 + 1/8
Sum = 6 + 1/8
therefore, the sum of 3 1/4 + 2 7/8 using fraction strips is 6 1/8.
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Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Given the first equation:
[tex]y=- 6x - 2[/tex]
You can identify that:
[tex]m=-6\\b=-2[/tex]
By definition, the line intersects the x-axis when [tex]y=0[/tex]. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:
[tex]0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333[/tex]
Now you can graph it.
Solve for "y" from the second equation:
[tex]y +2=- 6x\\\\y=-6x-2[/tex]
You can identify that:
[tex]m=-6\\b=-2[/tex]
Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations has Infinitely many solutions.
See the graph attached.
Use the distributive property to remove the parentheses.
-3(-3v +u-5)
Josiah's employer gives him $150 to purchase his uniform. He is required to wear black pants and a company T-shirt. He decides to buy 1 pair of black pants for $42.50. The shirts cost $21.50 each. What are the possible numbers of shirts that Josiah can buy? Choose a marker and drag it onto the number line to represent all the possible numbers of shirts Josiah can buy.
Answer:
5 shirts
Step-by-step explanation:
$150 minus the initial black pants gets you to $107.50.
$107.50 divided by $21.50 is 5.
1. Will is 30 years old and works for a company that matches his 401(k) contribution up to 3%. The interest rate for
his 401(k) is 7.13%. If he puts away 9% of his $41,000 salary every year, how much would he have saved in 10
years? Round your answer to the nearest cent.
Oooo
$52,835.72
$56,602.91
$68,395.76
$73, 272.37
Answer:
C. $68,395.76
Step-by-step explanation:
ED2020
Final answer:
Will would have saved approximately $9,420.12 in 10 years by contributing 9% of his $41,000 salary annually, with a 3% employer match and a 7.13% interest rate.
Explanation:
To calculate how much Will would have saved in 10 years, we need to consider both his salary contribution and the employer's matching contribution. Will saves 9% of his $41,000 salary every year, which comes out to $3,690. The employer matches his contribution up to 3%, so the employer would contribute an additional $1,230 (3% of $41,000) every year.
To calculate the total savings after 10 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt). In this case, the principal P is the total annual contributions, the interest rate r is 7.13%, and n is the number of times interest is compounded per year, which we will assume to be once per year.
Using the formula, we can calculate:
A = ($3,690 + $1,230)(1 + 0.0713/1)^(1*10)
A = $5,920 * 1.0713^10
A = $9,420.123296
Rounding to the nearest cent, Will would have saved approximately $9,420.12 in 10 years.
What exponential expression is equal to 2 to the negative 5th power • 2 to the 8th power ?
Answer:
2^3
Step-by-step explanation:
2^-5×2^8=2^(-5+8)
= 2^3
Answer:
2³
Step-by-step explanation:
Written in numerical form:
2⁻⁵ · 2⁸
Since both exponents have the same base, one of the exponent rules apply. When multiplying exponents with the same base, you add the exponents.
xᵃ · xᵇ = xᵃ⁺ᵇ
2⁻⁵ · 2⁸
= 2⁽⁻⁵⁾ ⁺ ⁸
= 2³ Simplified exponent form
= 8 Most simplified form
Find the solution to the following system of equations:
y+2x=3
y-4x=10
Answer:
x=-7/6, y=16/3. (-7/6, 16/3).
Step-by-step explanation:
y+2x=3
y-4x=10
-----------
y=4x+10
4x+10+2x=3
6x+10=3
6x=3-10
6x=-7
x=-7/6
y+2(-7/6)=3
y-14/6=3
y=3+14/6
y=18/6+14/6
y=32/6=16/3
Roy has decided to visit the new ice cream shop around the corner. When he goes in, he sees 16 big buckets full of ice cream behind the counter, each containing a different flavor. There are 6 flavors that contain chocolate.
If he closes his eyes and picks out a bucket at random, what is the probability that the flavor he picks will contain chocolate?
A.
B.
C.
D.
Answer:
6/17
Step-by-step explanation:
To find the probability that Roy picks a chocolate flavor at random, we need to use the basic probability formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]
In this scenario:
- The favorable outcomes are the number of chocolate flavors.
- The total number of possible outcomes is the total number of flavors.
According to the given situation, there are a total of 16 flavors of ice cream, and out of these, 6 flavors contain chocolate.
Using the probability formula:
\[ \text{Probability of picking a chocolate flavor} = \frac{6}{16} \]
To simplify the fraction, we can divide both the numerator and the denominator by the greatest common divisor, which in this case is 2:
\[ \frac{6 \div 2}{16 \div 2} = \frac{3}{8} \]
Now, to express this as a decimal, we divide 3 by 8:
\[ 3 \div 8 = 0.375 \]
Therefore, the probability that Roy picks a chocolate flavor at random is 0.375. If you're looking at multiple-choice answers, you would choose the option that best fits this answer.
If u (x) = negative 2 x squared and v (x) = StartFraction 1 Over x EndFraction, what is the range of (u circle v) (x)?
(one-third, 0)
(3, infinity)
(negative infinity, 3)
(negative infinity, positive infinity)
The range of (u circle v) (x) is (negative infinity, 0).
Explanation:To find the range of (u circle v) (x), we need to substitute v(x) into u(x), which means replacing x in u(x) with v(x).
u(x) = -2x²
So, (u circle v) (x) = -2(v(x))² = -2(1/x)² = -2/x²
The range of (u circle v) (x) is (negative infinity, 0) because as x approaches 0 from the right, (-2/x²) approaches negative infinity, and as x approaches 0 from the left, (-2/x²) approaches positive infinity.
if 4 people are responsible for 25% of the work and one is doing .025 how much work do the other 3 take on?
Answer:
22.5%
Step-by-step explanation:
1 person is doing 0.025 of the work. What is that in percent??
We convert decimal to percentage by multiplying by 100 and sticking the "%" sign.
So,
0.025 * 100 = 2.5%
Hence, 1 person is doing 2.5% of the total 25% of the work alloted to 4 persons.
The other 3 would do rest of the work, that would be:
25% - 2.5% = 22.5% of the work (rest 3 person would be)
A dilation has been performed on DEF. The length of segment EF is 10 cm and the length of segment E'F' is 5 cm. If segment DE has a length of 12 cm, what is the length of segment D'E'?
Answer:
length of segment D'E= 6
Step-by-step explanation:
The dilation of DEF is 1/2
5 is 1/2 of 10
6 is 1/2 of 12
Answer:
6 cm
~~~~~~~~~~~~~~~~
Step-by-step explanation:
i took the unit test :) trust me
a city has 4 new houses for every 9 old houses . if there are 36 new houses in the city , how many old houses are there
Answer:
There are EIGHTYONE old homes
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a city’s population is increasing at a rate of 5% each year. Which type of model describes this situation?
A. none of these
B. quadratic
C. exponential
D. linear
Answer:
Exponential
Step-by-step explanation:
Ir's exponential because linear would mean it is increasing by a specific number every year, in which this case does not. Quadratic would mean a vertex form would need to be used, and with the information given , that could not happen.
A group of friends bought 7 tickets to a dog show for $30 each. How much did they spend on the tickets?
Answer:
$210
Step-by-step explanation:
1 ticket= 30
7 tickets = 7*30=$210
State weather the equation represents exponential growth, exponential decay or neither, 30 POINTS EASY
Answer:
Exponential Decay
Step-by-step explanation:
It's exponential growth when your base value is > 1. Example:
1.3ˣ, 2ˣ, 7ˣ, 999ˣ
It's exponential decay when the base value is < 1. Example:
0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ
It's neither when the base value = 1. Example:
1ˣ
If someone makes $200,000 per year, receives a paycheck monthly and pays 25.6% in income tax, how much is deducted from each paycheck for income tax?
$4266.67 is deducted every month for income tax.
Step-by-step explanation:
Given,
Amount earned per year = $200,000
Income tax = 25.6%
Amount of income tax = 25.6% of amount earned
Amount of income tax = [tex]\frac{25.6}{100}*200000 = \frac{5120000}{100}[/tex]
Amount of income tax = $51200
As this amount is yearly, therefore, we will divide it by 12 to find monthly amount.
Income tax deducted per month = [tex]\frac{51200}{12}=\$4266.67[/tex]
$4266.67 is deducted every month for income tax.
Keywords: income tax, percentage
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Joey wants to get a 90 test average in Science. He has already had two tests and he earned
a 91 and 85 on those tests. Write and solve an equation to find out what Joey needs to get on
the third test in order to have a 90 test average in Science.
I NEED A FREE BRAINLIEST ASAP
Answer:
Joey must get a score of 94 to have a average test score of 90.
Step-by-step explanation:
Joey wants a average score of 90.
He already scored 91 and 85 on the previous two tests, and wants to know the score to get a 90 as an average.
Set the equation:
Average = (score of known tests + x)/(amount of tests in all).
Note that: x = score of the next test.
First, Plug in the corresponding numbers to the corresponding terms/variables:
90 = (91 + 85 + x)/(3)
Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, multiply 3 to both sides:
90(3) = (91 + 85 + x)/(3) * 3
270 = 91 + 85 + x
Isolate the variable x. Combine like terms:
270 = (91 + 85) + x
270 = 176 + x
Subtract 176 from both sides:
270 (-176) = 176 (-176) + x
x = 270 - 176
x = 94
Joey must get a score of 94 to have a average test score of 90.
~
dori left her house at 12:00 pm and walked at 50 steps per minute and malory left her house at 12:20 and walked 90 steps per minute what time did malory catch up to dori?
Final answer:
Malory catches up to Dori 25 minutes after starting her walk. Since Malory started at 12:20 pm, she catches up to Dori at 12:45 pm by walking at a faster pace.
Explanation:
To determine what time Malory caught up to Dori, we can set up an equation based on the distance each has traveled. Since distance equals speed multiplied by time, and steps per minute can be considered as speed, we need to find a point at which they have both covered the same distance.
Dori started walking at 12:00 pm and Malory started at 12:20 pm, so Malory starts walking 20 minutes later. We'll use t to represent the time in minutes that Malory has been walking when she catches up to Dori.
Thus, Dori has been walking for t + 20 minutes by the time Malory catches up.
We set up the following equation to find t:
Dori's distance = Malory's distance
50 steps/minute × (t + 20) = 90 steps/minute × t
Solving for t gives us:
50t + 1000 = 90t
1000 = 40t
t = 25 minutes
Therefore, Malory catches up to Dori 25 minutes after Malory started walking. Since Malory started walking at 12:20 pm, we add 25 minutes to this time to find out the catch up time is 12:45 pm.
If f(x) = 4x+5 what is f(-3)
In this question, you're solving the given function.
In this case, you would plug in "-3" to the x variable, then solve.
Solve:
f(x) =4(-3) + 5
f(x) = -12 + 5
f(x) = - 7
When you're done solving, your answer should be -7.
Answer:
f(x) = - 7
Answer:
-7
Step-by-step explanation:
f(x) = 4 x + 5
f(-3) = 4 (-3) + 5
f(-3) = -12 + 5
f(-3) = -7
ILL GIVE BRAINLEST AND EXTRA POINTS
Answer:
C'(1, 2 )
Step-by-step explanation:
The translation rule
(x, y ) → (x + 3, y - 2 )
means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )
Good evening ,
Answer:
C’(1 ,2)
Step-by-step explanation:
Since the original coordinates of C are (-2,4) then the coordinates of C’ will be
(-2+3 , 4-2) = (1,2).
:)
simplify the expression-
3+ -10g –7g +2g
Step-by-step explanation:
3-17g+2g
3-15g
3(1-5)g
A lender wil verity and carefully consider your income before approving you for a loan because
a they need to be sure you will be able to pay the loan back
b government restrictons reoeam u salary to be approved for a dan
C. loan applicants with higher salaries are generally more trustworthy than other applicants
d. they need to be sure you make at least the minimum payment for the loan you applied for
Please select the best answer from the choices provided
Answer:
A
Step-by-step explanation:
How many integers have a square root that is greater than 10 and less than 11?
Answer:
20
Step-by-step explanation:
We know that 10² = 100, so all integers above 100 have a square root greater than 10. Similarly, 11² = 121, so all integers below 121 have a square root less than 11. So, we want the integers from 101 through 120, inclusive. There are integers from through (just as there are 20 integers from 1 through 20).
anything’s appreciated :)
Answer:
See explanation
Step-by-step explanation:
An inscribed angle is the angle with vertex and two endpoints lying on the circle.
1) This option shows an inscribed angle, because vertex A and endpoints B ans C lie on the circle.
2) This option doesn't show an inscribed angle, because vertex K doesn't lie on the circle.
3) This option shows an inscribed angle, because vertex X and endpoints V ans W lie on the circle.
4) This option doesn't show an inscribed angle, because vertex M doesn't lie on the circle.
5) Angle CAB is inscribed angle subtended on the arc BC with measure of 80°, so its measure is 40° (half of the measure of arc BC)
6) Angle WXV is inscribed in the circle and subtended on the arc WV. Hence, the measure of the arc WV is twice the measure of angle VXW and is equal to 84°.
Options 7) and 8) are not visible.
the age of a mother is three times that of her son. after 5 years sum of their ages will be 50 years. Express it as a linear equation in two variables.
Step-by-step explanation:
[tex]s-\text{age of son}\\m-\text{mother's age}\\3s-\text{mother's age}\\\\\boxed{m=3s}\\\\(s+5)-\text{age of son after 5 years}\\(m+5)-\text{mother's age after 5 years}\\50-\text{sum of their ages}\\\\\boxed{(s+5)+(m+5)=50}[/tex]
29.5 divided by four
(-3)/-6
what is the value?
-2
2
1/2
-1/2
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The negatives cancel each other out
Thus, your answer is C. 1/2
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Answer: 1/2
Step-by-step explanation: When dividing integers, if the signs are the same, the quotient is positive. So a negative divided by a negative always equals a positive. In this problem -3 ÷ -6 is 0.5.
However, there is no 0.5 on the list so we need to write the decimal as a fraction.
To write the decimal 0.5 as a fraction, we use the place value chart. 0.5 means 0 units and 5 tenths which can be written as the fraction 5/10.
Notice however that 5/10 is not in lowest terms so we need to divide the numerator and denominator by the greatest common factor of 5 and 10 which is 5 to get the equivalent fraction 1/2.
kamari loses 3 points for each wrong answer on a test. How does his score change if he has 7 wrong answers?
Answer: 21
Step-by-step explanation:
If kamari loses 3 points for 1 question. How many would he lose for 7 questions. So basically, you times 3 points by 7 questions to get 21
Kamari's score decreases by 21 points due to 7 wrong answers.
To determine the change in Kamari's score, we need to calculate the total number of points he loses for the 7 wrong answers. Since he loses 3 points for each wrong answer, we multiply the number of wrong answers by the points lost per wrong
Number of wrong answers = 7
Points lost per wrong answer = 3
Total points lost = Number of wrong answers — Points lost per wrong answer
Total points lost = 7 — 3
Total points lost = 21
Therefore, Kamari's score decreases by 21 points.
A company set up a food booth and a game booth at a county fair the fee for the food booth is $100 +5 dollars per day the fee for the game booth is $50 +7 dollars per day write an expression for how both booths will cost for the same number of days.
The expression for how both booths will cost for the same number of days (d) is 150 + 12d
Step-by-step explanation:
A company set up a food booth and a game booth at a county fair
The fee for the food booth is $100 + 5 dollars per dayThe game booth is $50 + 7 dollars per dayWe need to write an expression for how both booths will cost for the same number of days
Assume that the number of days is d for both booths
∵ The fee for the food booth is $100 + 5 dollars per day
∵ It used for d days
∴ The cost of the food booth = 100 + 5(d) ⇒ (1)
∵ The fee for the game booth is $50 + 7 dollars per day
∵ It used for d days
∴ The cost of the game booth = 50 + 7(d) ⇒ (2)
To find the cost for both booths in d days add (1) and (2)
∵ The cost for both booths = 100 + 5d + 50 + 7d
- Add the like terms
∴ The cost for both booths = (100 + 50) + (5d + 7d)
∴ The cost for both booths = 150 + 12d
The expression for how both booths will cost for the same number of days (d) is 150 + 12d
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The widest distance across the scale model of the planet Venus is 15 cm. The actual widest distance across Venus is approximately 12,000 km. What is the scale of the Model of Venus
Answer:
1 : 80,000,000
Step-by-step explanation:
Convert each 12,000km to cm to match the model's unit:
12,000 * 100,000 = 1,200,000,000 cm
The scale is the ratio of the model's dimension to the planet's dimension:
15 : 1,200,000,000
Divide each by 15 to simplify the ratio:
1 : 80,000,000
Therefore, the model is at a scale of 1 : 80,000,000.
2. What are the next two terms of the following sequence?-2,4,-8, 16, ...
A. -32, 64 D . 32, – 64
B. -32, 64
C. 32, 64
Answer:
(A.B.)-32, 64Step-by-step explanation:
[tex]-2\\(-2)(-2)=4\\(-2)(4)=-8\\(-2)(-8)=16\\-----------------\\(-2)(16)=-32\\(-2)(-32)=64\\\vdots[/tex]
Each next term is created by multiplying the previous term by (-2).
Answer:
It's the geometric sequence so the following numbers are:
-32,64
d= -2(multiplication number)
Answer: i did not fully understand,since there are two similar answer options(it's wether A or B)
Good luck!
Intelligent Muslim,
From Uzbekistan.