Work out the fraction that is halfway between 1/2 and 1 1/4
Answer:
The fraction that is halfway between 1/2 and 1 1/4 is: 5/8
Step-by-step explanation:
Given the fractions
1/2 and 1 1/4
In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.
1)
Add the numbers
[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]
as 1 1/4 = 3/4, so
[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]
Apply fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{2+3}{4}[/tex]
[tex]=\frac{5}{4}[/tex]
2)
Divide by 2
[tex]\frac{5}{4}\div \:2[/tex]
Convert element to fraction: [tex]2=\frac{2}{1}[/tex]
[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]
Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{5}{4}\times \frac{1}{2}[/tex]
Multiply fractions: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{5\times \:1}{4\times \:2}[/tex]
[tex]=\frac{5}{8}[/tex]
Conclusion:
Therefore, the fraction that is halfway between 1/2 and 1 1/4 is: 5/8
In the expression, 2y2 + 4x – y + x2 +8, what is the coefficient
of x2 ?
A- 8
B- 2
C- 1
D- 4
Answer:
C. 1
Step-by-step explanation:
There is no number before the [tex]x^2[/tex] term and the term is positive, so the coefficient is [tex]1[/tex] (which is the only number we can refrain from writing as a coefficient, hence the reasoning).
You deposit $8500 in an account that pays 1.78% annual interest. Find the balance after 10 years when the interest is compounded
monthly
The balance after 10 years is $
Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
derek tried to dilate the isosceles trapezoid abcd with the center of dilation at the origin with a scale factor of 2. check his work and complete the statements
the slope of ac is ___
the slope of eg is ___
the polygons are not dilation of each other because ___
Answer: 4,2 the corresponding sides are not parallel
Step-by-step explanation:
help me with this pls
Answer:
I'm not sure I'm too lazy to do it lol
Step-by-step explanation:
Given a set of data with the Regression Line: y = 3.5x + 18.5
What is the residual value for the ordered pair (100, 370)?
Answer:
1.5
Step-by-step explanation:
[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.
A. 57.9
B. 69.4
C. 61.1
D. 36.9
5k - 9 - 2k + 3 = 3k - 6
Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interest rate?
Answer:
Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.
82.25 this is what Scott will pay in 6 months at simple interest.
Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.
3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.
The compound option is cheaper by: 74.15 =$8.10.
Answer: 4.75
Step-by-step explanation:
3(3x – 3) = 27
Solve!
Ans
Step-by-step explanation:
x=4 should be the answer
What is the distance between (5, -1) and (5,-4)
1 unit
3 unit
4 unit
5 unit
Answer:
3 units
Step-by-step explanation:
The product of 84.12 and which number will have three decimal places?
4.22
10.51
14.163
19.3
Answer:
14.163
Step-by-step explanation:
i do not now if that right but
Alina has been collecting video games for a year. The table below shows how many games games she has received over the year
Answer:
I don’t see the table so I can’t answer it....
Step-by-step explanation:
....................
If possible step by step explanation. thank you!
Answer:
A
Step-by-step explanation:
[tex]\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3[/tex]
[tex](3x^2)^\frac{1}{2} = 3^\frac{1}{2} x[/tex]
Remember that [tex]\frac{x^b}{x^c} =[/tex]x^(b-c)
Using that [tex]\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }[/tex]=3^(1/2x-1/2)=3^((x-1)/2)
[tex]3^\frac{x-1}{2} =3^1[/tex]
So we can say: [tex]\frac{x-1}{2} =1[/tex], because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
5(2Y - 3) – 4y = 8 – 2y - 15
Justify this please
Answer:
y=1
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2y−3)−4y=8−2y−15
Step 1: Simplify both sides of the equation.
5(2y−3)−4y=8−2y−15
(5)(2y)+(5)(−3)+−4y=8+−2y+−15(Distribute)
10y+−15+−4y=8+−2y+−15
(10y+−4y)+(−15)=(−2y)+(8+−15)(Combine Like Terms)
6y+−15=−2y+−7
6y−15=−2y−7
Step 2: Add 2y to both sides.
6y−15+2y=−2y−7+2y
8y−15=−7
Step 3: Add 15 to both sides.
8y−15+15=−7+15
8y=8
Step 4: Divide both sides by 8.
The value of y is 1
Given the equation 5(2Y - 3) – 4y = 8 – 2y - 15
Expand
10Y - 15– 4y = 8 – 2y - 15
6y - 15 = -7 - 2y
Collect the like terms
6y + 2y = -7 + 15
8y = 8
Divide both sides by 8
8y/8 = 8/8
y = 1
Hence the value y of is 1
Learn more here: https://brainly.com/question/20596193
If an investment's value can be modeled with A= 325 (1+.027/12)^12t
then which of the following describes the investment?
Answer:
Step-by-step explanation:
It's an investment that has a nominal interest rate of 2.7% compounded monthly
3. The investment has a nominal rate of 27% compounded 12 times per year
Given that,
The investment value should be [tex]A= 325 (1+.027\div 12)^12t[/tex].Based on the above information, the information is as follows:
The above formula represent that the investment should have the nomibal rate of 27% that compounded 12 times per year.
Learn more: brainly.com/question/17429689
In the diagram, the radius of the outer circle is 2x em and the radius of the inside circle is 6 cm. The area of the shaded region is 220 cm? What is the value of x2
Answer:
Answer: 8 (second choice)
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, the area is calculated by the formula:
[tex]A=\pi\ r^2[/tex]
There are two circles in the diagram. The outer circle has a radius of r1=2x, thus its area is:
[tex]A_1=\pi\ (2x)^2[/tex]
The interior circle has a radius of r2=6 cm, thus its area is:
[tex]A_2=\pi\ 6^2=36\pi[/tex]
The shaded area is obtained by subtracting A1-A2:
[tex]A=\pi\ (2x)^2-36\pi[/tex]
The value of the shaded area is given as 220π cm2. Equating:
[tex]\pi\ (2x)^2-36\pi=220\pi[/tex]
Dividing by π:
[tex](2x)^2-36=220[/tex]
Adding 36:
[tex](2x)^2=220+36=256[/tex]
Taking square root:
[tex]2x=\sqrt{256}=16[/tex]
Dividing by 2:
x = 8 cm
Answer: 8 (second choice)
Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.
Answer: 6.25
Step-by-step explanation:
6•4•(6.25)= 150
What is 4 2/3 plus 1 6/9 (simplify)
Answer:
423
Step-by-step explanation:
Answer:
6 + (1/3)
Step-by-step explanation:
4 + (2/3) + 1 + (6/9)
5 + (2/3) + (2/3)
5 + (4/3)
5 + 1 + (1/3)
6 + (1/3)
If Amy has 10 quarters, 10 dimes, and 10 nickels what percent of her MONEY is in dimes?
Answer:
%0.13
Step-by-step explanation:
10 quarters= $2.5 which is 25 dimes
10 nickels= $0.5 which is 5 dimes
10 dimes= $100
100+25+5= 130 dimes = $13
13/100 = %0.13
Please help explain how to do this I will give brainliest!!
Answer:
30 feet for each sloped beam
Step-by-step explanation: if you tak
the 8 away from the bord that is holding up the sloped beams it leaves you with 60 feet all together for both beams added up
A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *
Answer:
The answer would be $37.40
Step-by-step explanation:
The sale price would be the current price which is 44 - 15% of itself.
It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.
44 x 0.85 = 37.40
dollar signs ;)
Answer:
$33.00
And here's a link to the quiz i think your taking. (Its a answer key)
https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications
using the properties of the special parallelogram, solve for x and y
Answer:
y = 4
x= 27
Step-by-step explanation:
boom roasted.
Is this a function? Explain your answer in the space below.
Answer:
Yes, this is a function because all the x values are different.
Step-by-step explanation:
closest value of 19.7dived 0.0485
If an airplane travels a distance of 500 km in 5 hours heading north, what is its velocity?
PLEASE SHOW WORK!
Answer:
12
Step-by-step explanation:
What is problem number 2??
Answer:
QR
Step-by-step explanation:
The question is just trying to see if you can read the order of the lines.
PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ
Answer
YZ is the second and third letters of xyz.
QR are the 2nd and 3rd letters of PQR
20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment.
Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash
and a credit card. Using this information, answer each of the following questions.
Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly
selected customer has a credit card.
What is P(A), the probability that a customer has enough cash?
What is P(B), the probability that a customer has a credit card?
What is P(A and B), the probability that a customer has enough cash and a credit card?
What is P(A or B), the probability that a customer has enough cash or a credit card?
In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?
Answer:
What are the answer choices
Step-by-step explanation:
9x + 3y = -15
-18x - 6y = 30
X = ?
Y = ?
Answer:
x = x, y = −5 −3x
Step-by-step explanation:
hope this helps
