7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Number lineFrom the question, we are to determine where 7/10 would be located
7/10 is the same as 0.7
0.7 < 8/10 (0.8)
and
0.7 > 3/10 (0.3)
Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
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Myles has 12 markers and 20
pencils. What is the greatest
number of groups that can be
made with equal number of
markers and pencils?
In linear equation, No of marker is 5 and no of pencil is 3 .
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). For the purpose of resolving systems involving two linear equations, this form is also highly helpful.Myles has 12 markers and 20 pencils.
take LCM of 12 and 20 = 60
no of 12 markers = 5
no of 20 pencils = 3
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Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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You are biking to the library. When you are 75% of the way there, you realize you forgot a book. So you turn around and head back. When you are 1/3 of the way back, you realize you don't need the book, so you turn around again and bike 3.2 miles to the library. How far do you live from the library
The distance you live from the library, would be 6. 4 miles.
How to find the distance ?Assigning the distance between your house and where you can find books as x miles, we could approximate that initially you cycled 0.75x miles before retracing your route back a third of what had already been travelled; converting to 0.25x mile. Thus, at this stage, you will have covered an accumulated distance of 0.5x - taking into account earlier computations.
Realizing that borrowing such book would be unnecessary, you rode back to the library from whence you started- making it 3.2 miles. As you have advanced some length by travelling a cumulative distance of 0.5x from your private residence on previous trial, only another 0.5x miles stands between you and the target place after spinning around anew.
The equation is:
0. 5 x = 3. 2
x = 3. 2 / 0. 5
x = 6. 4 miles
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Solve for n |2n|-4=8
A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:
Answer:
(a) Yes, E and F are independent events.
(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4
help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.
Answer:
$1400x + $150
Step-by-step explanation:
Let the total cost of rent used for a month be $1400 plus a $150 application fee.
This means that;
Total cost (1 month) = $1400(1) + $150 = $1550
TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.
The cost of rent for x month = 1400x * $150
The cost of rent for x month = $1400x + $150 (application fee are paid only once)
The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Bose Scullcandy Koss Phillips/O'Neill Denon JVC Price ($) 192 156 90 84 72 48 Score 78 78 60 60 42 a. Does the t test indicate a significant relationship between price and the overall score? The test t-conclusion at ?-.05 t1.68 (to 2 decimal places.)
Based on the given consume reports data, the t value is 2.228.
T - value:
In statistics, t - value measures the size of the difference relative to the variation in your sample data.
Given,
Here we have the tale with price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports.
Now, we need to find the t test indicate a significant relationship between price and the overall score.
While we looking into the question, the values in this one are,
n = 6
And table of 6 stereo headphone price and overall score are given.
Based on the given details we have calculated the frequency table and the table is attached below.
Based on the resulting table we have identified that the value of t is 2.228.
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Please find m and b. Also, explain your work. Please help!
Answer:
(-6,0) (2,-2)
x1 y1 x2 y2
-2-0 -2
2+6 8
m= -2/8
b=-1 1/2
Step-by-step explanation:
Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and
simplify.
a. f(6)
b. f(x+4)
c. f(-x)
By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
It is required to find the solution.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The function f(x)= x^2 + 2x + 8
According to given question we have,
By put the value of x=6 in the function f(x) we get,
Evaluating the function f(6):
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
By put the value of x=x+4 in the function f(x) we get,
Evaluating the function f(x+4):
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
By put the value of x=-x in the function f(x) we get,
Evaluating the function f(-x):
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
100 Points. Use the given features to sketch a linear graph. Only looking for an answer to A. Photo attached. Thank you!
Step-by-step explanation:
Linear graphs are straight line graphs to represent the relationship between two quantities. This graph helps in depicting a result in single straight lines. There is no use of curves, dots, bars, etc., and a straight line is denoted by the term linear.
A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?
Answer:
\(Area = 72\)
Step-by-step explanation:
From the attachment, we can see that the floor has a trapezium shape with the following dimensions.
\(Height = 6yd\)
The parallel sides (P1 and P2) are:
\(P_1 = 10 + 4 = 14\)
\(P_2 = 10\)
The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:
\(Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height\)
\(Area =\frac{1}{2} * (P_1 + P_2) * Height\)
\(Area = \frac{1}{2} * (10 + 14) * 6\)
\(Area = \frac{1}{2} * (24) * 6\)
\(Area = 12 * 6\)
\(Area = 72\)
Hence, 72 square yards is needed to cover the floor
If 1 thousand dollars gets you 15 million toys how many toys can I buy with 40,000 dollars?
Answer:
600 billion toys
Step-by-step explanation:
40,000 × 15,000,000 = 600,000,000,000
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Please help giving brainliest please help
Answer:
G
Step-by-step explanation:
In the equation, 8.5 will represent how much money Oscar earns per hour, and the x represents how many hours he works. The inequality sign shows that the sum of 8.5x and 100 has to be at least 397.50 (397.50 and up), so H and J are automatically wrong. If Oscar had given his brother 100 dollars, there would be a subtraction sign, but there is an addition sign instead, meaning he gained 100 dollars that did not come from his job. It would be the most logical to say that his brother had given it to him, so G is the correct answer.
4. United Bank offers a 15-year mortgage at an APR of 4.2%. Capitol Bank offers
a 25-year mortgage at an APR of 4.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest
ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol-Bank? Round to the nearest
ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
uw.nadin
g. How many years of payments do you avoid if you decide to take out the
shorter mortgage?
Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.
What is total interest?
Total interest is determined by the addition of all the interest payments.
what would be the monthly payment and total interest from each bank?
United bank offers mortgage at an APR of 4.2%
APR means annual percentage rate.
mortgage is offered for the period of 15 years.
initial principal amount of Marcy = $120000
we need to determine the monthly payment from United bank.
at first, we will determine the rate of interest per month.
monthly interest rate = (4.2) / (100 × 12) = 0.0035
1 year = 12 months
15 years = 15×12 = 180 months
monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal
monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000
= $1207.70
from united bank monthly payment = $1207.70
Now we calculate the monthly payment from Capitol bank.
APR for capitol bank = 4.5%
number of years for which mortgage is issued = 25 years
number of months = 12×25 = 300.
monthly interest rate = (4.5) / (100×12) = 0.00375
monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000
= 1834.62
monthly payment from Capitol bank = $1834.62
total interest from Capitol bank = principal money × yearly interest rate × time period.
Total interest = 120000 × 4.5/100× 25
= $135000 for the Capitol bank
Total interest from United bank = principal amount × yearly interest × time period
= 120000× 4.2/100 × 15
total interest from united bank = $75600
United bank has lower total interest.
difference in monthly payment = 1834.62 - 1207.70
= 626.92 dollars
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Write a 3-digit number that is divisible by 9.
Answer:900
Step-by-step explanation:
900/9=100
100x9=900
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
200 students attend Ridgewood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
sorry est un site Web Internet spécialement conçue 4
Question 5 of 25 The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 4 of the games? Round your answer to the nearest tenth of a percent. O A. 7.0% OB. 24.6% OC. 0.2% O D. 16.4% SUBMITTE
Answer:
24.6%
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 9, r = 4, p = 0.5
P = ₉C₄ (0.5)⁴ (1−0.5)⁹⁻⁴
P = 126 (0.5)⁴ (0.5)⁵
P ≈ 0.246
(25x2) + (3x10) = ?
(25x2) + (3x10) = ?
Answer:
fist 1 is 80 second on is 80
find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09, how much is invested at each rate?
If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.
How to find the amount invested?Let's x represent the amount invested at 15%
Let the amount invested at 9% = 24,783 - x.
Interest earned at 15% is 0.15 * x
Interest earned at 9% is 0.09 * (24,783 - x)
We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09
Solving for x:
0.06x = 24,783 * 0.09 + 894.09
0.06x = 2223.47 + 894.09
0.06x = 3117.56
x = 51,960
So,
(24,783 - x)
24,783 - 51,960
= 22,823
Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.
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Find Terms and algebraic expression
x decreased by 3 is less than 4
Aiden invested $43,000 in an account paying an interest rate of 9 % compounded
monthly. Hailey invested $43,000 in an account paying an interest rate of 81%
compounded continuously. To the nearest dollar, how much money would Aiden
have in his account when Hailey's money has doubled in value?
Answer:
4.8 i think
Step-by-step explanation: i saw once it said dont worry bout the 0s just do the 43 divided by 9 and i think thats it
4 1/3x + 16 = 2 2/3x + 21
Carlos used 100 bricks to build a 20 foot wall. How many bricks would be used for a 25 foot wall?