The number of apple in each basket is as follows:
First basket = 25 apples
Second basket = 37 apples
Third basket = 16 apples
Fourth basket = 29 apples
Fifth basket = 13 apples
Total apples in the five baskettotal apples = 120
let
the number of apples in the first basket = a
the number of apples in the second basket = b
the number of apples in the third basket = c
the number of apples in the fourth basket = d
the number of apples in the fifth basket = e
Therefore,
a + b = 62
b + c = 53
c + d = 45
d + e = 42
a + b + c + d + e = 120
62 + 45 + e = 120
e = 120 - 62 - 45
e = 13
d = 42 - 13
d = 29
c = 45 - 29
c = 16
b = 53 - 16
b = 37
a = 62 - 37
a = 25
Therefore,
the number of apples in the first basket = 25
the number of apples in the second basket = 37
the number of apples in the third basket = 16
the number of apples in the fourth basket = 29
the number of apples in the fifth basket = 13
learn more on algebra here: https://brainly.com/question/21318615
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Answer:
15
Step-by-step explanation:
Write an equation to represent each problem. Do not solve.
1. The sum of fifteen and six times a number t is eighty-one. What is the number?
Answer:
(15 + 6) · t = 81
¼(5x + 16/3) - ⅔(¾x + ½) = -5
solve for x. this be some seriously big brain stuff. i'm just a child :(
Answer:
x = −8
Step-by-step explanation:
Help! I would like a walkthrough of how to do this problem, as i cant figure out how to. Thanks!
Answer:
a = 4.5b = 7.5Step-by-step explanation:
You want the lengths of sides marked 'a' and 'b' in the given right triangle figure.
Similar trianglesAll of the triangles in the figure are similar to each other. This gives rise to some proportional relations that are useful for solving this problem.
short side/long side = 6/8 = a/6
8a = 36 . . . . . . cross multiply
a = 36/8 = 4.5
long side/hypotenuse = 8/10 = 6/b
8b = 60 . . . . . . . cross multiply
b = 60/8 = 7.5
The lengths 'a' and 'b' are 4.5 and 7.5, respectively.
__
Additional comment
These are sometimes given as "geometric mean" relationships:
6 = √(8·a)
b = √(a·(a+8))
10 = √(8·(8+a))
where √(pq) is the geometric mean of p and q.
Another way to solve this is to recognize the given triangle is a 3-4-5 right triangle. The other similar triangles will have these same ratios:
3 : 4 : 5 = a : 6 : b ⇒ a = 3(6/4) = 4.5, b = 5(6/4) = 7.5
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Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=
Answer:
x = 29, y = -63
Step-by-step explanation:
Solve the following system:
{4 y + 11 x - 67 = 0 | (equation 1)
{2 y + 5 x - 19 = 0 | (equation 2)
Express the system in standard form:
{11 x + 4 y = 67 | (equation 1)
v5 x + 2 y = 19 | (equation 2)
Subtract 5/11 × (equation 1) from equation 2:
{11 x + 4 y = 67 | (equation 1)
{0 x+(2 y)/11 = -126/11 | (equation 2)
Multiply equation 2 by 11/2:
{11 x + 4 y = 67 | (equation 1)
{0 x+y = -63 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{11 x+0 y = 319 | (equation 1)
{0 x+y = -63 | (equation 2)
Divide equation 1 by 11:
{x+0 y = 29 | (equation 1)
{0 x+y = -63 | (equation 2)
Collect results:
Answer: {x = 29, y = -63
Answer:
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}[/tex]
Isolate y for 4y+11x-67=2:
[tex]y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}y=\frac{-11x+69}{4}[/tex]
[tex]\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}[/tex]
Isolate x for [tex]\frac{9x+69}{4}-19=0:[/tex]
[tex]x=\frac{7}{9}[/tex]
[tex]\mathrm{For\:}y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{7}{9}[/tex]
[tex]y=\frac{-11\cdot \frac{7}{9}+69}{4}[/tex]
[tex]\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}[/tex]
[tex]y=\frac{136}{9}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]
caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by g(t)=130(.8246)t where t is time in hours
A. How much caffeine remains in your system after day 1
B. How much caffeine remains in your system after 2 days?
Given:
The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.
[tex]g(t)=130(.8246)^t[/tex]
where t is time in hours.
To find:
The caffeine remains in your system after day 1.
The caffeine remains in your system after day 2.
Solution:
We know that,
1 day = 24 hours.
2 day = 48 hours.
The given function is
[tex]g(t)=130(.8246)^t[/tex]
Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.
[tex]g(24)=130(.8246)^{24}[/tex]
[tex]g(24)=130(0.00977)[/tex]
[tex]g(24)=1.2701[/tex]
Therefore, the remains caffeine in your system after day 1 is about 1.2701.
Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.
[tex]g(48)=130(.8246)^{48}[/tex]
[tex]g(48)=130(0.000095)[/tex]
[tex]g(48)=0.01235[/tex]
[tex]g(48)\approx 0.0124[/tex]
Therefore, the remains caffeine in your system after day 1 is about 0.0124.
Answer: for one day, it’s 0.0124
Step-by-step explanation:1d=24h
g(24)
6 - x - x = 16 what’s the answer please
Answer:
Answer is -5!
Step-by-step explanation:
Answer: x = -5
Explanation:
6-x-x=16
6-2x=16
6-6-2x=16-6
-2x=10
-2x/-2=10/-2
x = -5
T Stands For Tether
If Cos T = 0.6 And Sin T = 0.8, Find Tan T
Answer:
tan T = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
using the identity
tan T = [tex]\frac{sinT}{cosT}[/tex] = [tex]\frac{0.8}{0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
A cylinder has a height of 10 feet and a diameter of 14 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
cylinder volume = base area x height
= pi x r² x h
≈ 3,14 x 7² x 10 ≈ 1500
please help will give brainly
Answer:
Angle A: 52.5
Angle B: 68.9
Angle C: 58.6
Step-by-step explanation:
Brainliest?
:)
(Factorize): 10- 10-1-3
Answer:
=−4
Step-by-step explanation:
10−10−1−3
=0−1−3
=−1−3
=−4
How do I find the dimension of this cylinder
Answer:
10 in
Step-by-step explanation:
Volume of a Cylinder :
V = pi r² h
h = V / pi r²
h = 10,000pi / pi 32²
simplify pi
h = 10,000/1024 = 9.76
h = approx 10 in
What is the value of 9 + 21 (13 + 5)
Answer:
387
Step-by-step explanation:
Answer:
387
Step-by-step explanation:
13+5
18*21
378+9
=387
Find the midpoint M of the line segment joining the points P = (-5, 7) and Q = (1, -3)
What is the surface area of this right prism? Enter your answer in the box. m² Right triangular prism.
Hey there!
How to calculate Surface area
Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).
Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.
Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh
⇒ SA = (12 + 15 + 9) × 6 + (12)(9)
⇒ SA = (36)(6)+(108)
⇒ SA = 324 square units
Thus, the surface area of the right triangular prism is 324 square units.
want money. answer this.
Solve the inequality
Answer:
c > 9
Step-by-step explanation:
[tex]\dfrac{2c}{3}+1 > 7[/tex]
Subtract 1 from both sides:
[tex]\implies \dfrac{2c}{3} > 6[/tex]
Multiply both sides by 3:
[tex]\implies 2c > 18[/tex]
Divide both sides by 2:
[tex]\implies c > 9[/tex]
hello
2 c /3 + 1 > 7
2 c /3 > 21/3 - 3/3
2 c > 18
c > 9
] 9 : + ∞ [
find the LCM of 3 and 12
Answer:
12
Step-by-step explanation:
9(h + 3) + 18 = 108
Can I please have the answer with the work?
Thanks a bunch!
please help will give brainliest!
Answer:
The answer i as c
Step-by-step explanation:
Evaluate the function f(x)=5-3x when x=-1 and 3
Answer:
f(-1)=8
f(3)=-4
Step-by-step explanation:
when x equals -1 you substitute -1 for x in the equation which would look like 5-3(-1) which you would then multiply -3 by -1 and get 3 which 5+3 would equal 8 so f(-1) equals 8
When x equals 3 you substitute 3 for x in the equation which would look like 5-3(3) which you would then multiply -3 by 3 which would give you 5-9 which equals -4 so f(3) equals -4
Rectangle LMNO was translated 4 units down and 5 units left. After the translation, N’ was at (-6, 5). What was the original
x-coordinate of N?
Answer:
(-2, 10)
Step-by-step explanation:
All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.
I hope that makes sense!
Pls answer i will mark u brainlist
Brooke plays volleyball and also plays the trumpet in the middle school band. Brooke spends two (2) hours after school participating in volleyball activities. At home, Brooke practices playing her trumpet for 1/8 of the time that spends on volleyball activities at school. How long does she practice the trumpet?
Answer:
15 minutes
Step-by-step explanation:
2 hours equals 120 minutes.
so if you divide 120 by 1/8 you get 15
which would be the amount of time she spent playing the trumpet.
Hope this helps!! :)
Help me with this question plzzzz ignore it being marked
Answer:
d
Step-by-step explanation:
The GCF of two whole numbers is 9 and the LCM of the
same two numbers is 135. What could the two numbers be? Prove it.
Answer:
9 and 135
Step-by-step explanation:
The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.
what is the slope of the function represented by the table of values below
Answer:
the table of values?
Step-by-step explanation:
My mother purchase my candy bars at Food lion for $13.50 what is the price per candy bar?
1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)
HELP HELP HELP HELP HELP HELP HELP
Answer:
40
Step-by-step explanation:
4 right angled triangles
please help me I don´t get it?
Answer:
∠1 = 137
∠2 = 43
∠3 = 137
Step-by-step explanation:
∠2 and 43 are alternate interior angles.
Alternate interior angles are equal.
So,
∠2 = 43.
∠1 and ∠3 are also alternate interior angles,
So,
∠1 = ∠3
∠1 and 42 are linear pair angles.
Sum of linear pair angles is 180,
∠1 + 42 = 180
∠1 = 180 - 43
∠1 = 137
Since,
∠1 = ∠3
So,
∠3 = 137
Hence,
∠1 = 137
∠2 = 43
∠3 = 137
Note : -
Alternate interior angles and linear pair angles are properties of angles.
And are applicable when two lines intersect or more than two lines interest.