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[tex] \frac{2}{9} = \frac{4}{x + 8} \\ [/tex]
[tex] \frac{4}{x + 8} = \frac{2}{9} \\ [/tex]
Inverse both sides
[tex] \frac{x + 8}{4} = \frac{9}{2} \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\ [/tex]
[tex]x + 8 = 2 \times 9[/tex]
[tex]x + 8 = 18[/tex]
Subtract sides 8
[tex]x + 8 - 8 = 18 - 8[/tex]
[tex]x = 10[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
Help is it b???????????????
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Vertically opposite angles are equal
What would this be ?
Answer:
-8,1 mabey I don't really know
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day
Answer:
The answer is 127.6
Step-by-step explanation:
To find the volume of something, you multiply.
So:5.5 times 3.2 times 7.25 is equal to 127.6
HOPE THIS HELPS YOU!!!! :)
Answer:
127.60 square inches
Step-by-step explanation:
Multiply the diameters all together to get your answers.
5.5 x 3.2 x 7.25
Multiply
5.5 x 3.2 = 17.6
Multiply some more
17.6 x 7.25 = 127.6
You can also just multiply like this:
5.5 x 3.2 x 7.25 = 127.6
Hope this helped :)
Please consider Brainliest :)
Emma jogs 2 miles along the beach in
1
3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answer: 6 miles
Step-by-step explanation: 1/3 hour = 2
1 hour = 6 (2x3=6)
Answer:
6 miles
Step-by-step explanation:
9x-7= -7
solve for x
Answer:
-2
Step-by-step explanation:
What is the value 6^-8/6^-5?
Answer:
0.00462962962
Step-by-step explanation:
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck
Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
ill give brainlyest to whoever gets this question right
Answer:
C
Step-by-step explanation:
430 feet above sea level
Answer:
C. 430 feet above sea level
What is the equation of the line?
Answer:
I believe it should be the second answer
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Identify how many miles per day the Boden family is planning to travel.
miles per day
Answer:
202 miles per day
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Determine the initial number of miles that the Boden family drove before they made their plan.
771 miles
367 miles
165 miles
135 miles
This is your correct answer 165, oops this is the wrong question sorry
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
7. Find DE.
11-25
E
А
4x + 1
D
С
Answer:
DE = 37Step-by-step explanation:
AD = DC and BE=EC ⇒
DE = 1/2AB
4x + 1 = 1/2(11x - 25)2(4x + 1) = 11x - 258x + 2 = 11x - 2511x - 8x = 2 + 253x = 27x = 27/3x = 9DE = 4*9 + 1 = 36 + 1 = 37
AD = DC
BE = EC
It gives that 2(DE) = AB
To Find:The length of DE.
Explanation:According to the question,
2(DE) = AB
By putting the respected values, we get
2( 4x + 1 ) = 11x - 25
or, 8x + 2 = 11x - 25
or, 25 + 2 = 11x - 8x ( transposition method )
or, 27 = 3x
or, x = 27/3 = 9
The value of x is 9.
DE = 4(9) + 1 = 36 + 1 = 37
Answer:DE = 37
I’ll mark u as brainlist if u get this right!!
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
Cameron won a laptop in a school raffle. The diagonal of the laptop measures 26 inches. The length is 24 inches. How tall is the computer screen?
plz help me
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
Which number goes in the box?
8 + 9 = 9 +
Answer:
8
Step-by-step explanation:
I hope this helps you out!
Answer:
8
Step-by-step explanation:
...
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
so if fingernails grow about 0.1 millimeters each day how much do nails grow in 30 days?
Answer:
3.47 mm
Step-by-step explanation:
Find the angle measure.
Angle E
Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.
Triangle CDE is also isosceles. This means that angles C and D are the same measure.
The hatch marks shown in both triangles clearly indicate this fact of geometry.
So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.
Angle C = 70 degrees.
x+y=12
-x=-y-10
HELP thanks
do you have a picture or problem sentance that goes with that
Find the theoretical probability.
Simplify completely.
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
In 56 years, Kevin will be 999 times as old as he is right now.
Answer:
55,944
Step-by-step explanation:
Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?
Step-by-step explanation:
Two numbers multiply to -24 and add up to -5
Answer:
-8 and 3
Step-by-step explanation:
The asked numbers are -8 and 3.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, two numbers multiply to -24 and add up to -5
Let the two numbers be x and y
x+y = -5...(i)
xy = -24
x = -24/y...(ii)
Put eq (ii) in eq (i)
-24/y + y = -5
-24 + y² = -5y
y²+5y-24 = 0
Factorizing,
y = 8 and 3
Taking y = 3, put it in eq(ii)
x = -24/3
x = -8
Hence, the asked numbers are -8 and 3.
Learn more about equations, click;
https://brainly.com/question/29657988
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enter your answer as a number like this:42