Answer:
6 minutes
Step-by-step explanation:
The equation for time together is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/10 + 1/15 = 1/c
Multiply by the least common denominator to clear the fraction
30c(1/10 + 1/15 = 1/c)
3c+ 2c = 30
5c = 30
Divide by 5
5c/5 = 30/5
c = 6
Answer:
6 minutes
Step-by-step explanation:
Person A does 1 job in 10 minutes.
In 1 minute, person A does 1/10 of the job.
Person B does the same job in 15 minutes.
In 1 minute, person B does 1/15 of the job.
Working together, in 1 minute the do
1/10 + 1/15 of the job.
Working together, they take t minutes to do the job.
In 1 minute, they do 1/t of the job.
1/10 + 1/15 = 1/t
3/30 + 2/30 = 1/t
5/30 = 1/t
1/6 = 1/t
t = 6
Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
Using Eulers formula, how many edges does a polyhedron with 6 faces and 6 vertices have? Eulers Formula: F+V=E+2
Answer:
10
Step-by-step explanation:
E = F + V - 2
E = edges
F = faces = 6
V = vertices = 6
E = 6 + 6 - 2
E = 12 -2
E = 10
If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare?
Answer:
7/60
Step-by-step explanation:
Because the question is phrased such that it asks "the ratio of time with father to....", we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as
(42 minutes)/(6 hours)
To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:
[tex]\frac{42 minutes}{6 hours} * \frac{1 hour}{60 minutes} = \frac{42 minutes * hours}{360 minutes * hours} = \frac{42}{360}[/tex]
To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get
(42/360) * (1/6)/(1/6) = 7/60 as our final answer
If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.
for 42: 42, 21, 14, 7 , 6...
for 360: 360,180, ... 6,5....
Which of the following is a monomial?
9/x and 20x⁹ are the monomials.
The correct option A and D.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
A monomial is a polynomial with just one term.
From the given choices:
9/x and 20x⁹ are the monomials.
11x - 9 and 20x⁹ -7x are the binomial.
Therefore, A and D are the monomials.
To learn more about the Polynomials;
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Evaluate the following expression 2x - |4 - 7x| when x = -3
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
pls help me not fail
Answer:
D
Step-by-step explanation:
Using the Cosine rule to find AC
AC² = BC² + AB² - (2 × BC × AB × cosB )
= 18² + 12² - ( 2 × 18 × 12 × cos75° )
= 324 + 144 - 432cos75°
= 468 - 111.8
= 356.2 ( take the square root of both sides )
AC = [tex]\sqrt{356.2}[/tex] ≈ 18.9
-----------------------------------------
Using the Sine rule to find ∠ A
[tex]\frac{18}{sinA}[/tex] = [tex]\frac{18.9}{sin75}[/tex] ( cross- multiply )
18.9 sinA = 18 sin75° ( divide both sides by 18.9 )
sinA = [tex]\frac{18sin75}{18.9}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{18sin75}{18.9}[/tex] ) ≈ 66.9°
The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.
A graph titled Lunch Cost. The x-axis shows the number of slices purchased, numbered 1 to 8, and the y-axis shows the cost in dollars, numbered 5 to 40. Blue diamonds appear at points (0, 7.5), (1, 10), (2, 12.5), (3, 15), (4, 17.5), (5, 20), (6, 22.5), (7, 25), (8, 27.5).
For each additional slice of pizza that is purchased, by how much does the total cost of lunch increase?
Answer:
The answer is $2.50
Answer:
the answer would be c because c= $2.50
Step-by-step explanation:
can any of yalls help with this one
Answer:
it's the last option
Step-by-step explanation:
mark me brainliest
Pls i need help
The continuous growth rate of wind energy per year is ?%
Answer:
Do you need it in percentage, a graph or just normal annual calculation?
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
please help me with this trigonometric ratio/terminal arm question, giving brainliest!
Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?
Answer:
Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?
Step-by-step explanation:
12 + c = 13.50
OpruonnA seems to be the best, hence, Breaking down in real world terms :
13.50 = total cost
Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume
Cost of perfume = 12
Cost of flowers = c
Total cost of items = $13.50
Between which two intergers does -3 7/8 lie?
Answer:
Step-by-step explanation:
-4 and -3
Answer:
-4 and 3 because I tookt the test and the other guy was right too
HELP PLEASE
A tuning fork with a period of 1.95 x 10-3 is struck at the same time as a guitar
string. If 24 beats are heard in 6.0 s, find the possible frequency or frequencies of the guitar string.
Answer:
The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz
Step-by-step explanation:
The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s
The number of beats in 6.0 s = 24 beats
Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz
Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;
f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz
We have;
[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]
[tex]\pm f_{beat} = f_2 - f_1[/tex]
Therefore, we get;
[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]
f₂ - 512.82 = ± 4
∴ f₂ = 512.82 ± 4
The possible frequencies of the guitar string, f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
Model:
The exponential model for the number of infected trees after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
How many years will it take for 21 of the trees to become infected?
This is t for which:
[tex]f(t) = 21[/tex]
Thus
[tex]e^{0.4t} = 21[/tex]
Applying the natural logarithm to both sides:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
It will take 7.6 years for for 21 of the trees to become infected.
For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.
someone help me with this
find points a b c
Answer:
<a=32
<b=40
<c=40
Step-by-step explanation:
to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be
180-50=130
after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180
130+18+a=180
a=180-148
a=32 and that's how you find a
to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180
18+90+B=180
B=180-108
=72
since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72
c=72-32
=40
then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40
I hope this helps
Find the least positive integer A so that the product of 45 and A is a perfect sqaure number.
Answer:
5
Step-by-step explanation:
45=3×3×5
If we multiply by 5 it becomes a perfect square.
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Answer:
2 1/4 cups.
Step-by-step explanation:
If we want to find the total amount of cheese Belle used, we have to add the number of cups of cheddar and parmesan together:
2 + 1/4 = 2 1/4
Therefore, our answer is 2 1/4, specifically, 2 1/4 cups.
the total population of a village is 3540 out of which 2065 are male find the ratio of males to female
Answer:
7 : 5
Step-by-step explanation:
number of females = 3540 - 2065 = 1475
males : females
2065 : 1475
7 : 5
at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years
interest=4000
amount =6000
time =4yr
principal =6000-4000
=2000
interest=principal×time×rate/100
4000= 2000×4×r/100
4000=8000×r/100
r=8000-4000/100
r=2000/100
r=20
Answer:
12.5 %
Step-by-step explanation:
I = PRT
I is the interest, P is the Principle, R is the Rate and T is the time
The interest is 6000- 4000 = 2000
2000 = 4000* R *4
2000 = 16000R
Divide each side by 16000
2000/16000 = R
.125 = R
Changing to percent form
12.5 %
using the graph, determine the coordinates of the roots of the parabola
Answer:
(-8, 0) and (-2, 0)
Step-by-step explanation:
The root of a parabola are the places at which the parabola intersects the x-axis. As one can see, on the graph these points are the following: (-8, 0) and (-2, 0). Thus, the roots of the parabola are (-8, 0) and (-2, 0).
Answer:
-8 and -2
Step-by-step explanation:
Hello!
The roots of the parabola are the points where the graph intersects the x-axis. The x-axis is the equation y = 0.
There are two roots for this parabola, as the vertex is lower than y=0, and it opens up.
The two points of intersection are:
(-8,0)(-2,0)Therefore, the roots of the parabola are -8 and -2.
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 30.26° and Emir is 14 feet from the ground How many feet is the base of the treehouse from swingset? Round your answer to the nearest foot
ANSWERS:
15 feet
20 feet
18 feet
24 feet
=============================================
Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
---------------------------
Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Using the slope concept, it is found that the base of the treehouse is 24 feet from swingset.
What is a slope? The slope is given by the vertical change divided by the horizontal change. It's also the tangent of the angle of depression.
In this problem:
The vertical distance is of 14 feet.The horizontal distance is of x feet.The angle of depression is of 30.26º.Hence:
[tex]\tan{30.26^{\circ}} = \frac{14}{x}[/tex]
[tex]0.5834 = \frac{14}{x}[/tex]
[tex]x = \frac{14}{0.5834}[/tex]
[tex]x = 24[/tex]
The base of the treehouse is 24 feet from swingset.
You can learn more about the slope concept at brainly.com/question/18090623
Find a if ZB = 25°, ZC = 48°, AC = 5.
Answer:
11.3
Step-by-step explanation:
a = AC × sin(A)/sin(B)
Now <A =180-25-48 = 107
a = 5×sin(107)/sin(25)
a ≈ 11.3
Answered by GAUTHMATH
The amount oRs.4500 for 5 ye is 8550 8550. Find the interest and the rate of interest
Answer:
Step-by-step explanation:
We have;
P = 4500
A = 8550
T= 5 years
I= ?
R=?
We know,
A= P+I
or, 8550=4500+I
∴I=8550-4500= 4050
Now, I= PTR/100
Or, 4050= (4500*5*R)/100
Or, 4050=45*5*R
Or, R= 4050/225
∴R= 18%
the table of values below represents a liner function and show the amount of money in the savings account since she began her part-time job what is her monthly rate of savings
Answer:
she saves $24 dollars every month. 36 + 24 =60 +24 =84 +24 =108 +24 =132 :)
Which equation is correct?
cos x° = adjacent ÷ opposite
tan x° = opposite ÷ adjacent
cos x° = opposite ÷ adjacent
tan x° = adjacent ÷ opposite
Answer:
B
Step-by-step explanation:
Sin x°= opposite ÷ hypotenuse
Cos x°= adjacent ÷ hypotenuse
Tan x°= opposite ÷ adjacent
Ctg x°= adjacent ÷ opposite
The correct will bet cot x = adjacent ÷ opposite
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using trigonometric properties we have
Sin x°= opposite ÷ hypotenuseCos x°= adjacent ÷ hypotenuseTan x°= opposite ÷ adjacentCot x°= adjacent ÷ oppositeLearn more about trigonometry here:
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Emile wants to lay a garden around his restaurant. The restaurant is in the shape of a square with side length of 15 feet. What is the length of the garden required?
Answer: [tex]60\ ft[/tex]
Step-by-step explanation:
Given
Side length of square shape [tex]a=15\ ft[/tex]
Length of the garden is equal to the perimeter of the square i.e. 4 times the side length
[tex]\Rightarrow \text{Lenght L= }4a\\\Rightarrow L=4\times 15\\\Rightarrow L=60\ ft[/tex]
Thus, the length of the require garden is [tex]60\ ft[/tex]
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Answer:
1
Step-by-step explanation:
add 1/2 + 1/2 = 2/2 = 1
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Answer:
The third exterior angle is [tex]103^o[/tex]
Step-by-step explanation:
Given
[tex]\theta = 158^o[/tex]
[tex]\alpha = 99^o[/tex]
Required
The third exterior angle [tex](\beta)[/tex]
The exterior angles of a triangle add up to 360 degrees.
So:
[tex]\theta + \alpha + \beta = 360^o[/tex]
Make [tex]\beta[/tex] the subject
[tex]\beta = 360^o - (\theta + \alpha)[/tex]
Substitute known values
[tex]\beta = 360^o - (158^o + 99^o)[/tex]
[tex]\beta = 103^o[/tex]
