Mackenzie picked 20 strawberries, 5 blueberries, and 15 raspberries. What was the ratio of the number of strawberries to the total number of berries she picked?
Answer:
20:40
Step-by-step explanation:
Because part of the ratio is the total number of berries, we need to add up all of the berries.
20+15+5=40
The number of strawberries picked is 20, so the ratio is 20:40
Each sheet cake requires 3 cups of flour and 2 cups of sugar. If a bakery has 75 cups of flour and 75 cups of sugar, how many sheet cakes can be made? Will there be any ingredients left over
adult: £4.90 each child: £2.15 each
1 adult and 6 children went swimming.
how much did they pay altogether?
Convert
2005
16
Convert 200pi/16 from radians to degrees. Then find the coterminal angle what would be between 0 and 360 degrees. Finally give the sin of this angle.
You answer will have 3 parts:
-The original angle converted to degrees, showing the steps used.
-The coterminal angle that is between 0 and 360 degrees, showing the steps used.
-The sin of this angle.
Using proportions, it is found that the original angle is of 2250º. The co-terminal angle is of 90º, which has sine equals to 1.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportion considered in this problem is that 2pi is equivalent to 360º and we want to find the equivalent angle to 200pi/16, hence the rule of three is given by:
2 pi - 360º
200pi/16 - x º
Applying cross multiplication:
[tex]x = \frac{1}{2\pi} \times 360 \times \frac{200\pi}{16}[/tex]
[tex]x = 2250^\circ[/tex]
The original angle is of 2250º.
To find the co-terminal angle, we find the remainder of the division of 2250 by 360, hence it is of 90º, which has sine equals to 1.
More can be learned about proportions at https://brainly.com/question/24372153
The diameter of a circle is 34 meters. What is the circle's area?
Answer:
area of a circle = πr^2
So to find the area we need to know the radius. This is easy, as the radius is half of the diameter. So let's half it:
34/2 = 17m
And then substitue 17, for r:
= π(17)^2
= 289π
= 907.9202769m^2
You can round this however you like, but the best options are often either 3 significant figures, either 1 or 2 decimal places.
Which of the following shows the circumference and how to
find the circumference of a circle if the diameter is d = 10 in?
Answer:
C≈31.42in
d Diameter
Hope it helps
Have a good day
A washer and a dryer cost $669 combined. The washer costs $81 less than the dryer. What is the cost of the dryer?
Answer:
$375
Step-by-step explanation:
Given:
A washer and a dryer cost $669 combined. The washer costs $81 less than the dryer.To Find:
What is the cost of the dryer?
Solve:
Let's the price of the washer is w and the price of the dryer is d.
Thus,
w + d = 669
d - 81 = w
To find the cost of the dryer, we just need to substitute it for w in the first equation:
(d - 81) + d = 669
2d - 81 = 669
2d = 750
d = 375
Hence the cost of the dryer is $375.
~Learn with Lenvy~
Pls help me! this is due in 30 minutes
Answer:
See explanation.
Step-by-step explanation:
This problem doesn't really make sense, but I'll try my best.
a and b stand for the bases (they are parallel to each other).
I really don't know what a+b is supposed to mean. It's just the two bases added to each other. It doesn't mean anything.
h is the height of the trapezoid.
The formula for the area of a trapezoid is A = ((a+b)/2)h
The
point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x -12). What is
the standard form of the equation
for this line?
Answer:
y = [tex]\frac{x}{4}[/tex] - 2
Step-by-step explanation:
y - 1 = 1/4 (x - 12)
y - 1 = 1/4 (x) -3
y = 1/4 (x) -3 +1
y = [tex]\frac{x}{4}[/tex] - 2
AB and AC are tangent to circle O. If AB measures 23 cm, what is the measure of AC?
A) 40 cm
B) 46 cm
C) 35 cm
D) 23 cm
Answer:
D) 23 cmStep-by-step explanation:
As per Provided Information
AB & AC are tangent to the circle O.
we have been asked to determine the length of AC ( tangent) .
This question is quite easy if you know the following Theorem which states that
Tangent drawn from an external point to the circle are equal in length
Therefore
AB = AC = 23 cmTherefore,
23 cm is your required answer .Option (D) 23 cm
Answer:
D) 23 cm
Step-by-step explanation:
it passes the quiz
Pls help I don’t know to find the answer
Step-by-step explanation:
the diagonals of a parallelogram are crossing each other exactly at their midpoints. that means the lengths of both sides of a diagonal are equal.
so, we get
x = 7y - 16
and
2x + 5 = 5y
we can use the first equation as an identity directly in the second equation and get
2(7y - 16) + 5 = 5y
14y - 32 + 5 = 5y
14y - 27 = 5y
9y - 27 = 0
9y = 27
y = 3
x = 7y - 16 = 7×3 - 16 = 21 - 16 = 5
Help. I can’t seem to figure out how to get the answer.
Answer:
15. 80 benches
16. 45 cost units
Step-by-step explanation:
The two problems together are asking you to find the coordinates of the vertex of the cost function. To do this you can use the procedure for writing a quadratic in vertex form.
C(x) = 0.1x^2 -16x +685
= 0.1(x^2 -160x) +685 . . . . . . factor out the leading coefficient
= 0.1(x^2 -160x +6400) +685 -(0.1)(6400) . . . add and subtract 0.1(6400)
C(x) = 0.1(x -80)² +45 . . . cost function in vertex form
__
15.The number of benches that minimizes the cost function is the x-coordinate of the vertex. That is the value that makes the square equal to zero.
x = 80 . . . benches
__
16.The minimum value of the cost function is the value obtained when the squared term is zero:
C(80) = 0.1(80 -80)² +45
C(80) = 45
The minimum cost per bench is 45. (The problem statement gives no units for cost. It could be pesos, or millions of rubles. We can't tell.)
_____
Additional comment
The square of a binomial is ...
(x +a)² = x² +2ax +a²
You will notice that the constant (a²) is the square of half the x-coefficient. To "complete the square", we put the equation in a form where we have (x² +2ax) in parentheses. Then we divide the x-coefficient by 2, and add its square inside parentheses: (x² +2ax +a²) and rewrite to the form of a square: (x +a)².
In order to keep the expression the same, we must subtract the same quantity elsewhere in the equation. Outside parentheses, it must be multiplied by the coefficient in front of the parentheses. In the above, we added (0.1)(6400) and subtracted (0.1)(6400) so that we could rearrange the cost function to vertex form: a(x -h)² +k has vertex (h, k).
__
We find a graphing calculator to be an extremely handy tool for dealing with polynomial functions. The attached shows the graph of the cost function. The calculator marks the vertex for us. Since it is a plot of cost versus number of benches, the units of the vertex are (benches, cost units).
During a sale, a store offered a 10% discount on a bed that originally sold for $380. After the sale, the discounted price of the bed was marked up by 10%. What was the price of the bed after the markup? Round to the nearest cent.
The price of the bed is $376.2
How to determine the price of the bedFrom the question, we have the following parameters that can be used in our computation:
Discount = 10%
Original selling price = $380
Markup = 10%
The price of the bed is calculated using
Price = Original selling price * (1 - Discount) * (1 + Markup)
Substitute the known values in the above equation, so, we have the following representation
Price = 380 * (1 - 10%) * (1 + 10%)
Evaluate
Price = $376.2
Read more about discount at
https://brainly.com/question/7459025
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When was zero invented and who is credited with that discovery?.
Searching it up gives your answer right then and there.
The first record of zero was founded in Mesopotamia 3 B.C
Inventor:
The Mayans invented it independently circa 4 A.D
Then it was only then during mid-fifth century it spread to Cambodia
Near the end of seventh century it went to China, and Islamic counties at the end of the eighth century.
(Correct me if I'm wrong not all website's are reliable,So sorry if I'm wrong.)
PLS HELP IM GOING TO FAIL AND REDO THIS YEAR PLS Select the two lines that have a slope of 5/2. *
A
B
C
D
E
Answer:
C
Step-by-step explanation:
Please help with this question (I will mark brainliest) Thank u >u<
A turtle population that started at 368 has begun to decrease by 7 percent each month. Which equation below could be used to model this situation?
Answer:
hi, I believe it would be C. P=368(0.07)^x
Step-by-step explanation:
hope it helps!
Can anybody help me pleaseeeeee
Answer:
ok ez
Step-by-step explanation:
a) 119/1009=11.79%
b) 264/1009=26.17%
c) 75/1009= 7.43%
d) 9/1009= 0.89%
u are welcome :)
place help and thanks
Answer:
[tex] \sqrt{ {(6 + 2)}^{2} + {(8 - 2)}^{2} } \\ \sqrt{64 + 36 } \\ \sqrt{100 } \\ 10[/tex]
If I increase a quantity by 100% and then decrease the outcome by 50% will the answer be the same? Explain your answer
Answer:
yes because 100 - 50 is 50
8 to the power of 5/8 to the power of three Rewrite using a single positive exponent.
Answer:
do you mean 8^5/8^3
Step-by-step explanation:
snap it to see your question
(a) Convert 87305 ml into l and ml
(b) Convert 21 km 87 m into m
Answer:
a) 87 l and 305 ml
b) 21087 m
Step-by-step explanation:
a) solution
1000 ml = 1 l
87000 ml = 87 l
Ans = 87 l and 305 ml
b) solution
1 km = 1000 m
21 km = 21000 m
21000 + 87
= 21087 m
In a maths competition each correct answer gets 3 marks, but one mark is deducted for each incorrect answer.
Grace answers all 30 questions that are on the test and scores 30 marks. How many questions did she get wrong?
the ratio between diameter and dircumference of circle is ......................
Answer:
The ratio of the circumference of a circle to its diameter and is called π (Pi).
Step-by-step explanation:
y = 2x2 + 3 y = x + 2 how many solutions?
Answer:
There are infinity answers to this
Step-by-step explanation:
Arjun and Gretal each pay rent. In 2018, the ratio of the amount each paid in rent was Arjun : Gretal In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 5:7. = 9:13. Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
Answer:
$6525
Step-by-step explanation:
I rewrote the problem before because the ratios are not clear in the given problem.
------------------------------------------------------------------------------------------
Arjun and Gretal each pay rent.
In 2018, the ratio of the amount each paid in rent was Arjun:Gretal=5:7.
In 2019, the ratio of the amount each paid in rent was Arjun:Gretal=9:13.
Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
------------------------------------------------------------------------------------------
2018: Arjun/Gretal = 5x/7x
2019: Arjun/Gretal = 9y:13y
5x = 9y
13y = 7x + 290
Solve the first equation for x. Substitute in second equation.
x = 9y/5
13y = 7(9y/5) + 290
Multiply both sides by 5.
65y = 63y + 1450
2y = 1450
y = 725
In 2019, Arjun's rent was 9y.
9y = 9(725) = 6525
Answer: $6525
Check:
Solve for x.
x = 9y/5 = 9(725)/5 = 1305
Now we find Arjun's and Gretal's rents in both 2018 and 2019.
2018: Arjun 5x = $6525; Gretal 7x = $9135
2019: Arjun 9y = $6525; Gretal 13y = $9425
Arjun's rent is the same in both 2018 and 2019 as the problem states.
Gretal's rent is $290 more in 2019 than in 2018 since $9425 - $9135 = $290.
This confirms the answer $6525 is correct.
$6,700 is invested in an account earning 8. 3% interest (APR), compounded daily. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Answer:
A = $6,700(1 +0.0865^t)
APY = 8.65%
Step-by-step explanation:
Daily compounding of interest results in an annual growth factor of ...
gf = (1 +r/365)^365 . . . . for APR = r
Your growth factor is ...
gf = (1 +0.083/365)^365 ≈ 1.086532
Then the growth rate (APY) is ...
APY = gf -1 ≈ 8.65%
The account value is multiplied by the growth factor each year, so after t years will be ...
A = P(1 +APY)^t
A = $6,700(1 +0.0865)^t . . . . . . . 0.0865 is the annual growth rate
i need help before `10:15 hurry
Answer:
A, C.
Step-by-step explanation:
A function is a relationship between two variables. Another definination is that it relates an input to an output. In the answer A, x is the input. Y changes based on x.
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
a
−5
b
negative one fifth
c
one fifth
d
5
Help please.
Answer:
(a) -5
Step-by-step explanation:
The vertical scale factor for the graph and the function can be found by comparing the y-value of a point on f(x) to the y-value of a point on g(x). The graph conveniently marks two corresponding points with these y-values:
f(-2) = 2
g(-2) = -10
The value of k in g(x)=k·f(x) is the ratio of these y-values:
k = g(-2)/f(-2) = -10/2 = -5
The value of the vertical scale factor k is -5.
The product of twenty less than eight times a number and thirty less than two times a number equals zero. Find the number(s).
Answer:
The number= 15 or 5/2
Step-by-step explanation:
(8x-20)(2x-30)=0
16x^2-240x-40x+600=0
16x^2-280x +600 =0
divide by 8
2x^2-35x+75=0
2x^2-30x-5x+75=0
2x(x-15)-5(x-15)=0
(x-15)(2x-5)=0
x=15 OR 5/2
Oh need to know alot and a lot
Answer:
yeah so it is 74882828 it is pretty easy