Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!
1. What is the 15th partial sum of the geometric sequence (262,144; 32,768; 4,096; 512; ...)? Round to the nearest whole number, if needed.
Answer:
[tex]S_{15} = 299593[/tex]
Step-by-step explanation:
Given
[tex]262144,\ 32768,\ 4096,\ 512; ...[/tex]
Required
Determine the 15th partial sum
The nth partial sum of a geometric series is:
[tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
In this case:
[tex]a = 262144[/tex]
[tex]n = 15[/tex]
r is calculated as:
[tex]r = \frac{32768}{262144}[/tex]
[tex]r = 0.125[/tex]
Substitute values for a, r and n in [tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
[tex]S_{15} = 262144* \frac{1 - 0.125^{15}}{1 - 0.125}[/tex]
[tex]S_{15} = 262144* \frac{1}{0.875}[/tex]
[tex]S_{15} = \frac{262144* 1}{0.875}[/tex]
[tex]S_{15} = \frac{262144}{0.875}[/tex]
[tex]S_{15} = 299593.142857[/tex]
[tex]S_{15} = 299593[/tex] -- approximated
Jaiden walked 2 1/2 miles to his friend's house. Miya had to walk 4 3/8 miles to the same friend's house. How many times the length of
Jaiden's walk was Miya's walk?
Answer:
Jaidens walk was 2 4/8 miles long and
Miyas walk was 4 3/8 miles long so
Miyas walk was 2 1/8 mile longer than Jaidens
Step-by-step explanation:
Subtract the complex numbers.
(5 + 4i) - (7 + 8i)
Answer:
Step-by-step explanation:
5 + 4i - 7 - 8i
-2 - 4i
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
javier is shopping for school supplies . he is buying 3 of the same notebooks and 2 pens that cost $1.75 each. His total, before tax, is $12.47. which equation below could be used to determine the cost of each notebook.
A. 3(1.75)+2x=12.47
B.3x+2(1.75)=12.47
C. 3(12.47)+2(1.75)+x
D. 3(1.75)+2(12.47)=x
PLEASE HELP
Answer:
3notebooks
2pens
the pens are 1.75 each
total is 12.47
i wouldnt use any of these
12.47-(2x1.75)=? then divide that by three and you get each notebook
but
c...
PLZ help this is the last question
Answer: D
Step-by-step explanation: I just know if not D its c
An equation is shown.
1/12(14.4+18)+2.75.
Part A
Rakim starts to evaluate the expression.
Step 1: 1.2 + 18+ 2.75.
The expression Rakim wrote for step 1 is incorrect. Explain how to correct the error in step one.
Enter your explination in the box provided
Answer:
Step 1 should be (14.4+18)...PEMDAS
Step-by-step explanation:
The expression Rakim wrote for step 1 is incorrect therefore the correct solution will give 5.45.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given an expression as;
1/12(14.4+18)+2.75.
Part A;
Rakim starts to evaluate the expression.
Step 1: first solve the bracket;
1/12(14.4+18)+2.75.
1/12(32.4) + 2.75.
2.7+ 2.75.
= 5.45
The expression Rakim wrote for step 1 is incorrect therefore the correct solution will give 5.45.
Learn more about equations here;
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Studies suggest that people with a high sense of humor tolerate negative events better than people with low sense of humor. Let x represent the intensity of a negative life event. To find the depression level for people
Answer:
explain
Step-by-step explanation:
Last year the girls basketball team had 12 fifth grade students and 3 sixth grade students what is the ratio of sixth grade students to total students on the team
(Include a answer in paper)
Answer:4:1
Step-by-step explanation: you have to find the unit rate ( how much for 1) so you set 3 to equal 1 and to do that you divide by three so you do that to the 12 also
The answer for your question will be...3:12
1. Look at the table.
Х
у
2
0.4
4.
0.8
7
1.4
9
1.8
11 2.2
What is the constant of proportionality?
A. 1.6
B. 5
C. 0.2
D. 2
Answer:
D
Step-by-step explanation:
On the X side they add 2 every time to reach the next number needed. For example if it was to keep going the nect x would be 13
How much water does Ms. Maryna need to add to 60g of sugar to make a syrup that is 20% concentrated?
Answer:240
Step-by-step explanation:You get 240 because 60X4 is 240. to get the 4, you need to use 100-20, then therer would be 80. 80 divided by 20 is 4, which is the amount of water.
Ms. Maryna needed 240g water to add to 60g of sugar to make a syrup that is 20% concentrated
Given that,
Ms. Maryna need to add to 60g of sugar to make a syrup that is 20% concentrated.
We have to determine,
How much water does she need.
According to the question,
Ms. Maryna need to add to 60g of sugar to make a syrup that is 20% concentrated.
If Maryna need 20% sugar by mass,
Then,
[tex]= \dfrac{20}{100} = \dfrac{1}{5}[/tex]
It is 1/5 of the total mass is sugar,
And ,
Total water needed is,
[tex]= 1-\dfrac{1}{5} \\\\=\dfrac{5-1}{5}\\\\= \dfrac{4}{5}[/tex]
It needed 4\5 times of water.
Then,
Maryna needed times as much water as sugar,
[tex]= \dfrac{4}{5} \times \dfrac{5}{1}\\\\= 4 \ times[/tex]
Maryna needed 4 times as much water as sugar.
Maryna need water to add in syrup = 4 × 60g = 240g.
Hence, Maryna needed 240g of water to add to make a syrup.
To know more about Multiplication click the link given below.
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Explain the power of products property and give an example.
Answer:
(ab)^n = a
Step-by-step explanation:
It basically says to take the entire equation in the parentheses and multiply by the exponent, sorry for the horrible handwriting
Evaluate the expression when a=3 .
27÷a =
Answer:
Answer:
27÷3
=9
.....................
Answer:
9
Step-by-step explanation:
Hey there !!!!!!!!
if a =3 in the equation 27/a
we evaluate it, it will look like 27/3
if we solve it :
27/3 = 27÷ 3
27÷ 3 = 9
have a wonderful day
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place.
9514 1404 393
Answer:
1.8%
Step-by-step explanation:
The effective rate can be found using the simple interest formula.
I = Prt . . . interest of principal P at annual rate r for t years
r = I/(Pt) . . . . solve for r
Using the given numbers, we have ...
r = 243/(4500·3) = 0.018 = 1.8%
The annual interest rate was 1.8%.
Josh made $253 for 11 hours of work. At the same rate, how many hours would he have to work to make $299
Answer:
The answer is 13.
Step-by-step explanation:
Divide 253 by 11. This gives you the total he makes within an hour, which is 23. Next add 253 and 23 together. This gives you 276. Add 23 again and you get 299. Since you added 23 together twice, that's two extra hour of work. Finally, add 11 and 2 and you get 13.
Help
Subtract 2/9 - 2/15 fractions in Lowest terms
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
Find x to the nearest tenth.
Write fractions in order 5/8 2/3 3/8
Answer:
3/8, 5/8, 2/3
Which of the following units are most commonly used in the United States? Check all that apply
A. Ounces
B. Meters
C. Kilograms
D. Feet
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
Which system of linear equations appears to have a solution of (3,0)?
Answer:
C
Step-by-step explanation:
A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?
Can you at least add the picture?
I will give the BRAINIEST
Simplify. Write your answer in standard form.
(4x^3+6x-7)+(3x^3-5x^2-5x+9)
Answer:
Step-by-step explanation:
Combine like terms.Like terms have same variable with same exponent
4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x - 7 + 9
= 7x³ -5x² + x + 2
Solve for r.
5r - -17r - 4r + -9 = 9
Answer:
r=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5r−−17r−4r−9=9
5r+17r+−4r+−9=9
(5r+17r+−4r)+(−9)=9(Combine Like Terms)
18r+−9=9
18r−9=9
Step 2: Add 9 to both sides.
18r−9+9=9+9
18r=18
Step 3: Divide both sides by 18.
18r/18 = 18/18
r=1
Which of these situations would follow the general rule for basis of inherited property?
Louis died on August 12, 2019, leaving his house to his sister, Etty.
On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.
Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.
Amon the following situation 2 cases follow the general rule for basis of inherited property
Given , Statements of inheritance.
1. Louis died on August 12. 2019 leaving his house to his sister, Etty.
This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.
In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.
4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.
This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.Know more about inheritance of property,
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Julie’s family took a 4-day trip. Julie’s mother wrote an equation to calculate their gas mileage, m, in miles per gallon. Let d = the number of total miles driven on the trip. Let g = the total number of gallons of gas used for the trip.
=
What was the gas mileage for the 4-day trip?
Answer:
[tex]m = 26[/tex]
Step-by-step explanation:
Given
See attachment for missing details
Required
Determine the gas mileage for the trip
First, we calculate the miles driven
[tex]Miles = 476 + 439 + 382 + 263[/tex]
[tex]Miles = 1560[/tex] --- d
Next, we calculate the amount of gas used
[tex]Gas = 15.0 + 13.5 + 15.4 + 16.1[/tex]
[tex]Gas = 60.0[/tex] ---- g
The gas mileage is then calculated as:
[tex]m = \frac{d}{g}[/tex]
[tex]m = \frac{1560}{60}[/tex]
[tex]m = 26[/tex]
Hence, the gas mileage is 26 miles per gallon
2/4 < ?/6
I dont get it.
Answer:
4
Step-by-step explanation:
This is wanting you to put a numerator that will make this fraction bigger then 2/4.
2/4 is greater then 1/6, so that won't work
2/4 is greater then 2/6, so that won't work either
2/4 is equal to 3/6 because they reduce to 1/2, so it won't work
2/4 is less then 4/6, this will work
any number bigger then 3 can be put in the ? spot
2k-12-2=-4 i need help I'm in class rn
Answer:
k=5
Step-by-step explanation:
A pet store has 9 dogs, 6 cats, 8 gerbils, and 7 parrots. A pet is chosen at random. What is the probability of choosing a cat or dog?
Answer:
15/30 = 1/2 or 50%
Step-by-step explanation:
Since there are 9 dogs and 6 cats, if you add them you get 15
15 will me your numerator
To get the denominator add all of the animals. So 9 + 6 + 8 + 7
You will get 30