Answer:
[tex]Ratio = 11:13[/tex]
Step-by-step explanation:
Represent Amar age with x
Represent Kabir age with y
So, we have:
Presently
[tex]x : y = 3 : 4[/tex]
After 4 years
[tex]x + 4 : y + 4 = 7 : 9[/tex]
Simplify both ratios:
[tex]x : y = 3 : 4[/tex]
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
Cross Multiply
[tex]4x = 3y[/tex]
Make x the subject
[tex]x = \frac{3}{4}y[/tex]
[tex]x + 4 : y + 4 = 7 : 9[/tex]
[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]
Cross Multiply
[tex]7(y+4) = 9(x+4)[/tex]
Open Brackets
[tex]7y + 28 = 9x + 36[/tex]
Collect Like Terms
[tex]9x = 7y + 28 - 36[/tex]
[tex]9x = 7y -8[/tex]
Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]
[tex]9(\frac{3}{4}y) = 7y - 8[/tex]
[tex]\frac{27}{4}y = 7y - 8[/tex]
[tex]6.75y = 7y - 8[/tex]
[tex]6.75y - 7y = - 8[/tex]
[tex]-0.25y = - 8[/tex]
[tex]y = -8/-0.25[/tex]
[tex]y = 32[/tex]
Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]
[tex]x = \frac{3}{4} * 32[/tex]
[tex]x = \frac{3* 32}{4}[/tex]
[tex]x = \frac{96}{4}[/tex]
[tex]x = 24[/tex]
So, in 20 years time, the ratio of the ages would be:
[tex]x + 20 : y + 20[/tex]
This gives
[tex]24 + 20 : 32 + 20[/tex]
[tex]44 : 52[/tex]
Divide by 4
[tex]44/4:52/4[/tex]
[tex]11:13[/tex]
Hence, the Ratio is
[tex]Ratio = 11:13[/tex]
Today Mary's aunt and grandmother came to visit. Her aunt visits every six days and her grandmother visits every eight days. The next time they will both visit Mary on the same day will be how many days?
Answer:
Every 24 days
Step-by-step explanation:
xxxxx✔xxxxx✔xxxxx✔xxxxx✔
xxxxxxx✔xxxxxxx✔xxxxxxx ✔
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answer:
b
Step-by-step explanation:
Juliet wants to read more this year. So far, she has read two books for a total of 730 pages. Juliet's goal is to read 25 pages each day for the rest of the school year. Let x represent the number of days that she has followed her plan, and let y represent the total number of pages read.
Which of the following linear equations can Juliet use to model her plan and calculate the total number of pages read?
y=25−730xy is equal to 25 minus 730 x
y=730−25xy is equal to 730 minus 25 x
y=25+730xy is equal to 25 plus 730 x
y=730+25x
Answer: y= 730+25x
Step-by-step explanation:
Given: Total pages she already read = 730
Pages read by her in 1 week = 25
Let x = number of days that she has followed her plan, and let y = the total number of pages read.
Then total pages she will read in x days = 25x
therefore , Total pages she read till now(y) =730 + 25x
Hence, the linear equations can Juliet use to model her plan and calculate the total number of pages read:
y= 730+25x
THIS WAS THE ONE I MEANT TO POST
Find the number of ways four out of nine patients can be chosen to complete a survey
-11x^4 • x^2 ? And could someone please explain how you multiply them? I get so confused adding the exponents.
Answer:
-11x⁶
Step-by-step explanation:
-11x⁴ * x² = -11x⁶
**for multiplication just add the exponent power**
What is 1 2/3 - 2 1/3
Answer:
- 2/3
Step-by-step explanation:
Andres Michael bought a new boat. He took out a loan for $24,180 at 4.5% interest for 4 years. He made a $4,650 partial payment at 4 months and another partial payment of $3,400 at 6 months. How much is due at maturity? (Do not round intermediate calculations. Round your answer to the nearest cent.)
Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.vvvvvv
What number is an interger?
A.-3/4 B.0 C.2.3 D.~
Answer:
they are all integers
Step-by-step explanation:
what's the answer? pls help
Answer:
The slope of the line is 1.
Step-by-step explanation:
To solve this problem, we should use the equation for slope, which is given below:
slope = m = (y2-y1)/(x2-x1)
We can now plug in two points that are given in the table.
slope = m = (9-5)/(9-5)
We can simplify our expression for slope by first computing the subtraction inside the parentheses.
slope = m = 4/4
If we simplify the expression further by dividing the numerator by the denominator, we get:
slope = m = 1
Therefore, the correct answer is slope = 1.
Hope this helps!
Commutative property means the numbers have to.......
А
the numbers stay in the same spot
B the numbers switch position, but the answers change
С
the numbers switch positions, but the answer is the same
D
it means that a number plus zero will stay the same
Answer:
C. The numbers switch position but the answers stay the same.
Step-by-step explanation:
Create an expression as close to zero as possible using numbers one through nine
Answer:
Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to create an equation such that the solution is as close to zero as possible. ... 8 > Expressions & Equations > Create an Equation with a Solution Closest ...
Step-by-step explanation:
What is the difference between -4.5 and -18.2
Answer:
13.7
Step-by-step explanation:
-4.5 - -18.2 = 13.7
Jefferson Middle School needs to see a 300% gain in PTO fundraiser
sales from last year. If they sold a total of $2,420 last year, how much do
they need to sell this year to meet their goal? *
f(x) = x2
g(x) = (x – 6)
We can think of g as a translated (shifted) version of f.
To get function g , shift f right by 6 units.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
Right by 6 units
Step-by-step explanation:
Suppose that XNY are in rational numbers such that x>y. Which of the following inequalities must be true
Answer:
D. 2x > 2y
Step-by-step explanation:
This question illustrates some of the difficulties you can run into with inequalities.
Consider each of the expressions when x = 1 and y = -2. We know that
x > y
1 > -2
__
A. x^2 = 1, y^2 = 4 . . . . x^2 > y^2 is not true
B. -x = -1, -y = 2 . . . . -x > -y is not true
C. 1/x = 1/1 = 1, 1/y = 1/-2 = -1/2 . . . . 1/x > 1/y is true
Now consider x=2, y=1. x > y because 2 > 1, but ...
1/x = 1/2, 1/y = 1 . . . . 1/x > 1/y is not true
D. We know that multiplying the numbers by 2 only stretches them apart on the number line. It does not change their order. For our example, ...
2x = 2, 2y = -4 . . . . 2 > -4 is true
Tom had 48 coins and 8 friends. How many coins due each friend get?
Answer:
They will each get 6 a piece
URGENT again having difficulty, please answer as soon as possible would be appreciate it :)
write 55 percent as a fraction in simplest form
Answer:
11/20
Step-by-step explanation:
Answer:
11/20
Step-by-step explanation:
I converted 55% to 11/20
I hope it helped
Write the values of the 9s in 990.250. How are the values related?
Answer:
Leftmost 9: 900
9 between 9 and 0: 90
9 on left is worth 10 times 9 on right.
Step-by-step explanation:
990.250
The 9 at the left is in the hundreds place, so it represents 9 hundreds, so its value is 900.
The 9 between the 9 and the 0 is in the tens place, so it represents 9 tens, and its value is 90.
Since the places are right next to each other, the 9 on the left is worth 10 times the 9 on the right. Sure enough, 900 is 10 times 90.
Please someone help what’s to answer to f(3)=2 + g(5)=-17
Answer:
5 g - 2.
Step-by-step explanation:77217, Solve for g, 19*23=17g, 19⋅23=17g 19 ⋅ 23 = 17 g ... 77235, Solve for g, g^-1(7)=3, g−1(7)=3 g - 1 ( 7 ) = 3 ... 77244, Solve for g, (g-2)/(g+10)=(g-4)/(g+5), g−2g+10=g−4g+5 g - 2 g + 10 = g - 4 g + 5 ... 77266, Solve for g, (7g-21)/3-(2g-7)/4+1=5g-2, 7g−213−2g−74+1=5g−2 7 g - 21 3 - 2 g - 7 4 + 1 = 5 g - 2.
what is 2.71x1.09 plssss hurryy
Answer:
0.2439
Step-by-step explanation:
can someone please help me
Answer:
triangle = 8
the rest is mind abuse
Step-by-step explanation:
what is the midpoint of _
AB
Answer:
The answer is C
Step-by-step explanation:
Its the midpoint of A and B
14.7 divided by 2.2=
Answer:
6.68181818182
Step-by-step explanation:
what is the answer? pls help
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
For this, we shall use the slope formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] ← this is [tex]\frac{rise}{run}[/tex]
Assuming this is a line, all we do is pick two consecutive points and plug them in. For example, let's take the first two points. (1, -4) and (7, 5) as they are the easiest to work with.
Let's plug in these two values:
[tex]\frac{5 - (-4)}{7 - 1}[/tex]
Simplified we get:
[tex]\frac{9}{6}[/tex]
We are now able to factor 3 out of the numerator and denominator:
[tex]\frac{3}{2}[/tex]
Thus resulting in the slope.
What would E,F,G be? I really need help
Answer:
e - 50°
f - 65°
g - 115°
Step-by-step explanation:
Both triangles are 180°
So basically just add 50+65 which gives you 115 and that is 'g' cause that is the last missing piece of the left triangle.
How can you use mental math to find the produce 6 x 295?
Answer:
Break up the number
Step-by-step explanation:
6 x 295 = 1770
295 = 200 + 90 + 5
(6 x 200) + (6 x 90) + (6 x 5) = 1770
1200 + 540 + 30
1740 + 30
1770
The value of the expression 6 x 295 using the property of multiplication will be 1770.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
6 and 295
Then the multiplication of the numbers 6 and 295 will be given by putting a cross sign between the numbers 6 and 295. Then we have
⇒ 6 x 295
⇒ 1770
The value of the expression 6 x 295 will be 1770.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the slope of the line that passes through the points (-3,3) and
(-3, 13)? Write your answer in simplest form.
Answer:undefined is the answer
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
Please hurry i have 10 minutes!
Answer:
X= 5
Step-by-step explanation:
HELP ASAP
The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance,
X, represented by 30 inches on the map?
2 30
15
2 X
1530
15
2
0 30
15 X
302
Answer:
The proportion that can be used is
2 inches 30 inches
15 miles x
Step-by-step explanation:
If 15 miles is 2 inches and 30 divided by 2 is 15, you have to multiply 15 by 15 to figure out how many miles 30 inches is. Because 15 x 15 = 225, 30 inches is 225 miles. Therefore, x = 225.
