Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
[tex]13x+16x+24x=212[/tex]
[tex]53x=212[/tex]
[tex]x=\dfrac{212}{53}[/tex]
[tex]x=4[/tex]
So, the numbers are,
[tex]First=13x[/tex]
[tex]First=13(4)[/tex]
[tex]First=52[/tex]
Similarly,
[tex]Second=16x[/tex]
[tex]Second=16(4)[/tex]
[tex]Second=64[/tex]
And,
[tex]Third=24x[/tex]
[tex]Third=24(4)[/tex]
[tex]Third=96[/tex]
Therefore, the three unknown numbers are 52, 64, 96.
Find the area of the composite figure.
A) 22m
B) 26m
C) 30m
D) 34m
Answer:
C is the answer.
You have a triangle with one side length of 5 and side B
with a length of 13. What is the length of the diagonal?
Fastest answer will get brainliest
Answer:
13.9283882772
Step-by-step explanation:
Pythagorean Theroem, so 5^2+13^2=194
Under square root 194=13.9283882772
Hope I helped!
PLZ HELP ME PLZZZ I WILL GIVE BRAINLIEST......I REALLY NEED THE ANSWERS.
Answer:
2,4,2,1.7
Step-by-step explanation:
HELP GEO TESTT
NEED ANSWERS 1, 2, 3, THXXXXXX
anyone can do this please if you can do all of it of you can I'm really bad at math
solve for y
3x+1/5y=7
Answer:
y = -15x + 35
Step-by-step explanation:
3x + 1/5y = 7
1/5y = -3x + 7
y = 5( -3x + 7)
y = -15x + 35
pls help me! 15 points
Answer:
1.414
Step-by-step explanation:
The expression - 270+ 13m represents a submarine that began at a depth of 270 feet below sea
level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 7
minutes?
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The submarine was
feet below sea level after 7 minutes.
OB. The submarine will have reached sea level after 7 minutes.
Answer:
The submarine would be 179 feet below sea level
Step-by-step explanation:
m = 7
13 x 7 = 91
-270 + 91 = -179
After 7 minutes submarine was at -17 feet.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, the expression - 270+ 13m represents a submarine that began at a depth of 270 feet below sea level and ascended at a rate of 13 feet per minute.
A) Here, m=7
-270+13(7)
= -270+91
= -179
B) No
Therefore, after 7 minutes submarine was at -17 feet.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
"Your question is incomplete, probably the complete question/missing part is:"
The expression - 270+ 13m represents a submarine that began at a depth of 270 feet below sea level and ascended at a rate of 13 feet per minute. What was the depth of the submarine after 7 minutes?
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The submarine ___ was feet below sea level after 7 minutes.
(Type an integer or a decimal:)
B. The submarine will have reached sea level after 7 minutes.
solve for the altitude to the base of an isosceles traingle given a leg is 16yd and the perimeter is 56yd
Answer:
one yard is equal to 3 feet so
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point, 35, start text, space, m, end text, cubed of fluffy material.
Complete question :
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m
What is the length of the pillow?
Answer:
1.4 m
Step-by-step explanation:
The volume of wedge is given by:
V = Area of triangle * length
Area of triangle = 1/2 * base * height
Volume of wedge = 1/2 * base * height * length
Volume of wedge = 0.35m³
0.35 = 0.5 * 0.5 * 1 * length
0.35 = 0.25 * length
Length = 0.35 / 0.25
Length = 1.4 m
Answer:
1.4
Step-by-step explanation:
KAAAAAAAAAAAAAAHN!!!!!!!!!!!!!!
The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number.
Answer:
20 years
Step-by-step explanations:
You just do the work and figure it out and it gives you the answer of 20 years
Plz help me get the right answer
Answer:
Sum is the addition -8x^2+3-9x^2+3x-3 Combine like terms -17x^2+3x$3.00 Summary
Each word is $0.10
Answer the Essential Question: How do I add or subtract radical?
Step-by-step explanation:
Exposant 2 or any pair number
A middle school principal wants to change the lunch menu at the school. The principal surveys
the students to determine how the students would feel about the changes. Which survey
method will best produce the representative sample?
A collector bought 47 coins at auction, some bronze and some silver. The bronze coins cost him $ 14 each and the silver coins, $ 18 each. If in total he spent $ 750, how many bronze coins did he buy and how many silver?
(with the steps)
please help me, it's for an exam
what is the height of the waterfall? WILL MARK BRAINLIST FOR CORRECT ANSWER.
Answer:
11 ft
Step-by-step explanation:
mark me as brainliest
In a survey of U.S. Adults, 16% say they have had someone take over their email accounts without their permission. You randomly select 250 U.S. Adults and asked them whether they have had someone take over their email accounts without their permission. Find the probability that the number of U.S. Adults who say they have had someone take over their email accounts without their permission is : a. At most 40 b. Less than 45 c. Exactly 48
Answer:
a. At most 40
Step-by-step explanation:
If we take the survey that was done as a basis then we would use the 16% that was obtained as the number of overall US adults that have had their accounts used without their permission. Assuming that the 250 selected individuals were selected at random and without bias then those 250 would also be representative of the entire population. Therefore, we would simply need to multiply the number of selected individuals by the percentage in decimal form.
16 / 100 = 0.16
250 * 0.16 = 40
Finally, we can see that roughly 40 individuals would have had their email used without permission.
Inscribed angles!!
Find A, B, and C
sum of all exterior angles equals to 360
sum of interior angles equal to 180
divide 360 by 122 to find b the rest you'll get it
as you go further in the question
Sally's dance school had 60 students last year. This year there are only 48 students enrolled. By
what percent did the enrollment decrease? Show all of your work to justify your answer.
Answer:
20%
Step-by-step explanation:
60-48=12
changed ÷ original x 100%
= 12 ÷ 60 x 100%
= 20%
plz help me with this asap
81x^2 − 49y^2
Factorize each completely
1. y^2 − 1
2. x^2 − 2^2
3. x^2 − 4y^2
4. x^2 − 25b^2
5. 36 − 9m^2
6. 36a^2 − 169x^2
7. 81x^2 − 49y^2
8. 49r^2 − 16s^2
9. 144x^2 − 49
10. 64x^2 − 25
11. 81a^2 − 64b^2
12. 1 − 16x^2
13. 49x^2 − 1
14. (a + b)^2 − 2^2
15. (a − b)^2 − 1
Answer:
i will answer THIS.. just give me some time
solve it...........!!!!
Answer:
I think it is correct and is 1 and 2
Step-by-step explanation:
5×4^(x+1)-16^x=64
0=64+16^x-5×4¹×4^x
0=(4^x)²-2×4^x×10+10²-10²+64
0=(4^x-10)²-36
(4^x-10)²=36
4^x-10=√36
4^x=+-6+10
when positive
4^x=4²
:.x=2
when negative
4^x=4
:.x=1
:.x=1,2 answer.
Help Pls!!! Will give brainliest
Answer:
a
Step-by-step explanation:
ill mark brainlist plss help
he is going to need 37.5 ounces I guess
please help me ( show ur work it’s multiple choice ):)
Which expression is equivalent to (44)2 . (47) 2? A. 1 46 1 1 B. 43 C. 411 D. 430
Answer:
67
Step-by-step explanation:
i dont know
Please help!! Question is above in the image
9514 1404 393
Answer:
$503.85
Step-by-step explanation:
The amortization formula can help with this.
A = P(r/12)/(1 -(1 +r/12)^(-n))
where P is the loan value, A is the monthly payment, r is the annual interest rate, and n is the number of monthly payments.
We want to find P. All of the other values are given.
P = A(1 -(1 +r/12)^-n)/(r/12)
P = 32.48(1 -1.012667^-18)/(0.012667) = 31.48·16.0054
P ≈ 503.85
The equivalent cash price is about $503.85.
debra can run 20 miles in 2 hours. how many miles per hour can she run
Answer:
10 miles per hour
Step-by-step explanation:
20 divided by 2 = 10
A tree grows 2 inches per year. It was 14 inches tall when it was planted. what would be this function discrete continuous or neither? whould it be a linear an exponential or neither? what would be the domain?
please help greatly appreciated
Answer:
This function is a continuous linear function that's domain is all positive real numbers.
Step-by-step explanation:
This function is continuous because every linear function is continuous and this function is the linear function y = 2x+14 where x is the years it has been planted and y is the height.
It is a linear function, it's hard to explain, but it has a dependent variable, the height of the tree that changes at a constant rate with the independent variable which is time in years.
The domain is all positive real numbers since time/years can not be negative.
Which set of points would NOT define function? F) (-2,-2),(-1,-1),(0,0),(1,1),2,2) G) (-2,9), (0,1),(1,0),(3,4),(4,9) H) (-1,0),(0,1),(0,-1),(3,2),(3,-2) J) (-6,2),(-5,1),(-4,0),(-3,1),(-2,2)
Answer:
H
Step-by-step explanation:
Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.
Answer:
The area of the base of a box is 1800 cm².
Step-by-step explanation:
We have:
H: is the height = 4 cm
[tex]A_{l}[/tex]: is the lateral surface area = 120 cm
L = 2B
We can find the breadth of the base by using the lateral surface area and the height:
[tex] A_{l} = H*B [/tex]
[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]
Now, if the length is twice its breadth we have:
[tex] L = 2B = 2*30 cm = 60 cm [/tex]
Hence, the area of the base is:
[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]
Therefore, the area of the base of a box is 1800 cm².
I hope it helps you!