Answer:
6 ounces of juice
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.
In 2007, the population of Ecuador was estimated at
13.8 million, with an annual growth rate of 1.6%. If this
rate continues, estimate when the population will reach
15 million.
Answer:
In 2012 , the population will be 15 million
Step-by-step explanation:
We start by setting up an exponential equation that defines the increase
P(t) = I(1 + r)^t
P(t) represents the present population = 15 million
I is the population in 2007 which is 13.8 million
r is 1.6% = 0.016
t is what we want to calculate
15 million = 13.8 million (1 + 0.016)^t
15/13.8 = (1.016)^t
1.09 = (1.016)^t
ln 1.09 = t ln 1.016
t = ln 1.09/ln 1.016
t = 5.429 which is approximately 5
So in 2007 + 5 = 2012, the population will be 15 million
Josh plans to spend at most $45 on a gift for his mother, including the $15 he plans to spend on flowers. Which inequality represents x, the range of amounts that Josh can spend on the gift?
Answer:
x ≤ $30
Step-by-step explanation:
Including the $15 for flowers, there is a budget of $45. Josh cannot spend more than $30 on a gift.
x can be less than or equal to $30
The inequality for the $x of gift x≤ 30.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age?
Olivia's age is unknown to you since the word "equals" is missing. However, because you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12.
Given:
Total amount spend on gift = $45
price of flower= $15
So, the amount of gift only is
=45- 15
=$30
Thus, Josh can only spend $30 for the gift not more than that.
Hence, the inequality for the $x of gift
x≤ 30
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Which represents the solution to the inequality in interval notation 4x +7 (3x -3 ) ≤ 9 -5x
1. [-1, ♾)
2. [ 1, ♾)
3. ( - ♾,-1]
4. ( -♾,1]
10x-3=-5x-18
I don’t know can some one help
Answer:
x=-3 (x equals negative three)
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
The senior class at James High School is planning a trip to Orlando, Florida. The total cost for each student is $192.47. A local agency made a donation of $948.00. The money will be divided equally between the 24 seniors who are going. The senior class president, Ashley, has already saved $62.00. How much more must she earn to cover her cost of the trip?
Answer:
yyyyyyyyyy i neeed help to
Step-by-step explanation:
Answer:
it is. 90.97 option A
reshma is making a necklace using ring
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
Please help!! Will mark brainliest
Answer:
21
Step-by-step explanation:
10 points! Daryl has a scholarship that pays 80% of his tuition for all four years he attends college. What is the total value of the scholarship if the tuition is $13,500 per year?
Answer:
The value of the scholarship is $10800
Step-by-step explanation:
Step one:
Daryl has a scholarship that pays 80% of his tuition per year
the total value of the scholarship if the tuition is $13,500 per year
Step two:
let us solve for the value of 80% of the tuition which is $13,500 per year.
this is calculated as
=80/100*13,500
=0.8*13,500
=10,800
Plz help I’m getting timed
Answer:
just use a calculator on ur phone.....
Answer:
152.2381
Step-by-step explanation:
Please help me! Picture below!!
Answer:
The answer is 256
You buy x pounds of cherries for $2.99/b. What is a function rule for the
amount of change C you receive from a $50 bill?
expanding the question x(x + 2)
Answer:
x^2 + 2x ?
Step-by-step explanation:
Sorry I dont understand math good hope this helps..
Which expression is the simplest form of
(x4/7)^7
Answer:
16384x^7 / 823543 wirte like a fraction
Step-by-step explanation:
Solve this please kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
[tex]\frac{12}{25}[/tex] ↔ sinD × cosD
[tex]\frac{3}{5}[/tex] ↔ sinC
[tex]\frac{16}{15}[/tex] ↔ cosC × tanD
[tex]\frac{4}{5}[/tex] ↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ sinC = [tex]\frac{3}{5}[/tex]
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ cosC = [tex]\frac{4}{5}[/tex]
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC = [tex]\frac{BD}{BC}[/tex]
∵ BD = 3 and BC = 4
∴ tanC = [tex]\frac{3}{4}[/tex]
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD = [tex]\frac{BC}{DC}[/tex]
∵ BC = 4 and CD = 5
∴ sinD = [tex]\frac{4}{5}[/tex]
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD = [tex]\frac{BD}{DC}[/tex]
∵ BD = 3 and CD = 5
∴ cosD = [tex]\frac{3}{5}[/tex]
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD = [tex]\frac{BC}{BD}[/tex]
∵ BD = 3 and BC = 4
∴ tanD = [tex]\frac{4}{3}[/tex]
Let us find the answer to each tile
→ sinD = [tex]\frac{4}{5}[/tex] ⇒ 4th answer
→ sinC = [tex]\frac{3}{5}[/tex] ⇒ 2nd answer
→ sinD × cosD = ( [tex]\frac{4}{5}[/tex]) × ([tex]\frac{3}{5}[/tex]) = [tex]\frac{12}{25}[/tex] ⇒ 1st answer
→ tanC × tanD = [tex]\frac{3}{4}[/tex] × [tex]\frac{4}{3}[/tex] = 1 ⇒ Not used
→ cosC × tanD = [tex]\frac{4}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{15}[/tex] ⇒ 3rd answer
Answer: ↔ sinD × cosD
↔ sinC
↔ cosC × tanD
↔ sinD
Step-by-step explanation:
In the given triangle CBD
∵ ∠B is a right angle
∴ CD is the hypotenuse
→ We can use the trigonometry ratios
∵ sinC = opposite side of ∠C ÷ hypotenuse
∴ sinC =
∵ BD = 3 and CD = 5
∴ sinC =
∵ cosC = adjacent side of ∠C ÷ hypotenuse
∴ cosC =
∵ BC = 4 and CD = 5
∴ cosC =
∵ tanC = opposite side of ∠C ÷ adjacent side of ∠C
∴ tanC =
∵ BD = 3 and BC = 4
∴ tanC =
∵ sinD = opposite side of ∠D ÷ hypotenuse
∴ sinD =
∵ BC = 4 and CD = 5
∴ sinD =
∵ cosD = adjacent side of ∠D ÷ hypotenuse
∴ cosD =
∵ BD = 3 and CD = 5
∴ cosD =
∵ tanD = opposite side of ∠D ÷ adjacent side of ∠D
∴ tanD =
∵ BD = 3 and BC = 4
∴ tanD =
Let us find the answer to each tile
→ sinD = ⇒ 4th answer
→ sinC = ⇒ 2nd answer
→ sinD × cosD = ( ) × () = ⇒ 1st answer
→ tanC × tanD = × = 1 ⇒ Not used
→ cosC × tanD = × = ⇒ 3rd answer
Step-by-step explanation:
Each time a certain ball hits the ground, it bounces up 2/3 of its previous height. If the ball is dropped from 27 inches off the ground, what will be the height of the ball after the third bounce? *
Answer:
Height of ball after 3rd bounce = 8 inch
Step-by-step explanation:
Given:
Height of ball dropped = 27 inch
Bounces = 2/3 of previous height
Find:
Height of ball after 3rd bounce
Computation:
Height of ball after 1st bounce = 27[2/3]
Height of ball after 1st bounce = 18 inch
Height of ball after 2nd bounce = 18[2/3]
Height of ball after 2nd bounce = 12 inch
Height of ball after 3rd bounce = 12[2/3]
Height of ball after 3rd bounce = 8 inch
A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
48.8
Step-by-step explanation:
What are the coordinates of point B' if the translation vector (7,-5) is applied to tríangle ABC to produce the image triangle A'B'C'?
A.(-1,2)
B.(3,4)
C.(5,-2)
D.(-3,0)
Answer:
A. -1,2
Step-by-step explanation:
take point B move it 7 units (positive) across the x axis then from there 5 units (negative) down. That point lands on (-1,2) so B’ has the new point of that
What is the graph of y = 3jx|?
Ο Α.
5
>
Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
Round 87,365,219 to the nearest million
Answer:
87,000,000
Step-by-step explanation:
The millionths place in 87,365,219 starts at 7.
87,365,219
The rhyme that I learned for this when I was younger was: 5 and above give it a shove, 4 or below, let it go.
The number 3 after the 7 is less than five so you would have to let it go. So, everything after 7 would become zeros and you would not round 7 up.
Your final answer becomes 87 million
Hope this helps! :)
After rounding 87,365,219 to the nearest million, the number is 87000000.
Rounding number to the nearest millionFocus on the digit in the next position to the right for rounding a number to the nearest million. If the number is 5, round up and if the number is 4 or less than 4, round down.
How to round the given number to the nearest million?Consider the following figure.
The hundred thousand place number is 3 which is less than 4.
Thus, round down to 87000000.
Therefore, after rounding 87,365,219 to the nearest million, the number is 87000000.
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A radio announcer said that 58 of the population in a certain city have listened to a radio station at some time. What decimal represents this fraction?
Therefore, the decimal represents the fraction is [tex]0.58[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A radio announcer said that [tex]58[/tex] of the population in a certain city have listened to a radio station at some time.
So, the simplification is of the form
[tex]\frac{58}{100}=0.58[/tex]
Hence, the decimal represents the fraction is [tex]0.58[/tex].
To know more about the simplification
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On the grid below, the vertices of triangle ABC are A(-1,9), B(7,2), and C(-1,2).
Answer:
28
Step-by-step explanation:
i cant seem to get this i feel so dumb
Answer:
You are not dumb, I might be though.
Step-by-step explanation:
X + Y = 110
Y = 2X + 20
A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.
Answer:
I think its 5 feet
Step-by-step explanation:
I used Pythagorean theorem
8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=
1) 2.5
2) 2.5
3) 2.5
4) 2.5
a full glass of water can hold
Answer:
1/6 of a bottle
Step-by-step explanation:
i looked it up lol
Find the value of x.
A. 20
B. 17
C. 22
D. 15
Answer:
The value if x is 20
Step-by-step explanation:
Hope this helps :)
The value of the variable x is 20. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.
We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have
(x - 5) · (x - 8) = (x - 11) · x
Simplify the equation, then the value of the variable x will be
(x - 5) · (x - 8) = (x - 11) · x
x² - 13x + 40 = x² - 11x
2x = 40
x = 20
Thus, the value of the variable x is 20.
Then the correct option is A.
More about the circle link is given below.
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can i get some help
Answer:
Option 3
Step-by-step explanation:
4 is a factor so the answer is.. 4(3a-b-5)
En una panadería se elaboraron 140 panes diarios, el 25% son conchas, 10% cortadillos, 40% donas y 25% bolillos. Cada pieza de pan tiene un costo de $8 pesos. ¿Cuanta ganancia se obtuvo en la venta de donas?, ¿Y cuanta ganancia se obtuvo en la venta de bolillos ?
Answer:
Se obtuvo $ 448 de ganancia por la venta de donas.
Se obtuvo $ 280 de ganancia por la venta de bolillos.
Step-by-step explanation:
1) ¿Cuanta ganancia se obtuvo en la venta de donas?
La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:
[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]
[tex]C = 448\,USD[/tex]
Se obtuvo $ 448 de ganancia por la venta de donas.
2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?
La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:
[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]
[tex]C = 280\,USD[/tex]
Se obtuvo $ 280 de ganancia por la venta de bolillos.
In this exercise we have to use the knowledge of finance to calculate the profit.
1) $ 448 profit was made from donut sales.
2) A profit of $ 280 was obtained from the sale of cupcake.
1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:
[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]
$ 448 profit was made from donut sales.
2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:
[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]
A profit of $ 280 was obtained from the sale of cupcake.
See more about finances at brainly.com/question/16520540