A chemist is mixing two solutions, solution A and solution B. Solution A is 15% water and solution Bis 20% water. She already has a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Answer:
15 ml
Step-by-step explanation:
We are told
Solution A = 15% of water
Solution B = 20% of water
Let's assume, the entire solution = 100ml
We are told that in the beaker we have 10 ml of Solution A already
Mathematically,
100 ml = 15%
10 ml = X
100ml × X = 15 × 10
X = 150/ 100
X = 1.5%
Hence in the beaker, we have 1.5% of water from Solution A
We are asked to find how many ml of solution B must be added to make the solution have 18% of water
Let y = number of ml of solution B
Hence
10 ml × 15%(0.15) = 1.5 ml of water - Equation 1
y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2
Add up the above equation
10ml + y ml ×18% (0.18) = 1.5 + 0.20y
(10 + y)(0.18) = 1.5 + 0.20y
1.8 + 0.18y = 1.5 + 0.20y
Collect like terms
1.8 - 1.5 = 0.20y - 0.18y
0.3 = 0.02y
y = 0.3/0.02
y = 15ml
Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water
What is the length of the line?
Answer:
[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]
Step-by-step explanation:
The line can be made into a hypotenuse of a right triangle.
Find the length of the base and the height of the right triangle.
The base (leg) is 6 units.
The height (leg) is 5 units.
Apply Pythagorean theorem.
[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]
[tex]\sf c=\sqrt{36+25 }[/tex]
[tex]c=\sqrt{61}[/tex]
Answer:
[tex] \sqrt{61} [/tex]Option B is the correct option
Step-by-step explanation:
Assuming center of co-ordinate axes at lower left corner at the line. So end points are:
( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )
Distance between two points is given by formula:
D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]
[tex] = \sqrt{36 + 25} [/tex]
[tex] = \sqrt{61} [/tex]
Hope this helps..
Best regards!!
a. 5y2 - 60 = 0
by Square root property
Answer:
y = ± 2sqrt(3)
Step-by-step explanation:
5y^2 - 60 = 0
Add 60 to each side
5y^2 = 60
Divide by 5
y^2 = 60/5
y^2 = 12
Take the square root of each side
sqrt( y^2) = ± sqrt(12)
y = ± sqrt(4*3)
y = ±sqrt(4) sqrt(3)
y = ± 2sqrt(3)
Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996
Answer:
Option D.
Step-by-step explanation:
Sten thinks of a number and gives his friends some clues about it.
"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."
Number Nearest ten Nearest Hundred Nearest thousand
A. 735,619 735,620 735,600 736,000
B. 423,006 423,010 423,000 423,000
C.958,598 958,600 958,600 959,000
D.517,996 518,000 518,000 518,000
The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.
Therefore, the correct option is D.
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?
Answer:3.82
Step-by-step explanation: Find 80% of 4.50 (4.50 x 0.8=3.60) then find 6% of 3.6 (0.06 x 3.6= 0.216) add 0.216 + 3.6= 3.816 but in money you have to round so the answer is 3.82
Answer:
1.8
Step-by-step explanation:
$4.50-%20=3.6
3.6- %9=1.8
Please answer it now in two minutes
Answer:
[tex] t = 17.3 [/tex]
Step-by-step explanation:
Given ∆TUV,
m < T = 87°
TV = u = 11
TU = v = 14
UV = t = ?
Find t using the Law of Cosines.
[tex] t^2 = u^2 + v^2 - 2*u*v*cos(T) [/tex]
Plug in your values.
[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]
[tex] t^2 = 317 - 16.119 [/tex]
[tex] t^2 = 300.881 [/tex]
[tex] t = \sqrt{300.881} [/tex]
[tex] t = 17.3 [/tex] (to the nearest tenth)
if OA= 3 & AB= 2 what is the ratio of the circumference of the smaller circle to the circumference of the larger circle
Answer:
(B) 3/5
Step-by-step explanation:
In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?
(A) 2/3
(B) 3/5
(C) 9/16
(D) 1/2
(E) 4/9
Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:
Circumference = 2 π r. Where r is the radius of the circle.
The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5
Circumference of the bigger circle = 2 π (5) = 10π
The radius of the smaller circle = length of OA = 3
Circumference of the smaller circle = 2 π (3) = 6π
The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5
What is the length of the radius in circle C? 3 4 5
Answer:
3 but not positive
Step-by-step explanation:
Answer:
5! i just did this question
Step-by-step explanation:
please help me. I will love u forever if u do <333
Answer:
61% is a reasonable choice
Step-by-step explanation:
The probability of a strike is 79% or 0.79
=> Independently, the probability of 2 consecutive strikes:
P = 0.79 x 0.79 = 0.6241 ~ 61%
Explains how to find n, the number of copies the machine can make in one minute and How long will it take the machine to print 5,200 copies
Answer:
[tex]n = 65m[/tex]
Number of minutes is 80 minutes
Step-by-step explanation:
Given
The attached table
Calculating the number of copies the machine can make in a minute
Represent number of minutes with m and number of copies with n
First, we need to calculate the ratio of m to n
[tex]Ratio = \frac{n}{m}[/tex]
When m = 5; n = 325
[tex]Ratio = \frac{325}{5}[/tex]
[tex]Ratio = 65[/tex]
When m = 10; n = 650
[tex]Ratio = \frac{650}{10}[/tex]
[tex]Ratio = 65[/tex]
When m = 15; n = 975
[tex]Ratio = \frac{975}{15}[/tex]
[tex]Ratio = 65[/tex]
When we continue for other values of m and n, the ratio remains the same;
So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n
Substitute 65 for Ratio
[tex]65 = \frac{n}{m}[/tex]
Multiply both sides by m
[tex]m * 65 = \frac{n}{m} * m[/tex]
[tex]65m = n[/tex]
[tex]n = 65m[/tex]
This implies that, you have to multiply the number of minutes by 65 to get the number of copies
Calculating the number of minutes to print 5200 copies;
In this case;
Ratio = 65 and n = 5200
So;
[tex]Ratio = \frac{n}{m}[/tex] becomes
[tex]65 = \frac{5200}{m}[/tex]
Multiply both sides by m
[tex]65 * m = \frac{5200}{m} * m[/tex]
[tex]65 * m = 5200[/tex]
Divide both sides by 65
[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]
[tex]m = \frac{5200}{65}[/tex]
[tex]m = 80[/tex]
Hence; number of minutes is 80 minutes
if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
Answer:
[tex] \sqrt{30} [/tex]Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]
To raise a product to a power, raise each factor to that power
[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]
Multiply the numbers
[tex] {h}^{2} = 18 + 12[/tex]
Add the numbers
[tex] {h }^{2} = 30[/tex]
Take the square root of both sides of the equation
[tex]h = \sqrt{30} [/tex]
Hope this helps...
Best regards!!
[tex]\small\star\underline\bold\red{Given-}[/tex]
Sides of the right triangle
2√3 (p)3√2 (b)[tex]\small\star\underline\bold\red{To\:Find-}[/tex]
Third side (hypotenuse)[tex]\small\star\underline\bold\red{Solution-}[/tex]
By Pythagoras Theorum ,
[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]
[tex]\implies[/tex] h² = (2√3)² + (3√2)²
[tex]\implies[/tex] h² = 12 + 18
[tex]\implies[/tex] h² = 30
[tex]\implies[/tex] h = √30
Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains
Please Show your work and Solve. What is the answer to these 5 questions?
(1) -X + 4 = -2X - 6
(2) 4R - 4 = 3R + 10
(3) 2Y - 3 = Y - 4
(4) Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. Write and equation showing how old Ryan is. Solve if you can.
(5) Andy is two fifths of Ruth's age. Ruth is ten. How old is Andy?
Step-by-step explanation:
I answered the first three in your next question :)
4) 2x + 15 = 37
Subtract 15
2x = 12
Divide by 2
x = 6
Ryan is 6 years old
5) A = 2/5(10)
A = 4
Andy is 4 years old
Hope it helps <3
solve a+1= √b+1 for b
Answer: The Third one is correct
Step-by-step explanation:
the domain for f(x) and g(x) is the set of all real numbers.
let f(x) = 3x + 5 and g(x) = x^2. find (f - g)(x).
Answer:
(f - g)(x) = - x² + 3x + 5Step-by-step explanation:
[tex]D_f=D_g\quad\implies\quad (f-g)(x)=f(x)-g(x)\\\\\\(f-g)(x)=f(x)-g(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]
22.
Makes s the subject
[tex] \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}[/tex]
Step-by-step explanation:
[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]
Find raise each side of the expression to the power of r
That's
[tex]( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} [/tex]we have
[tex]( \sqrt{p} )^{r} = w - {as}^{2} [/tex]Send w to the left of the equation
[tex]( \sqrt{p} )^{r} - w = -{as}^{2} [/tex]Divide both sides by - a
We have
[tex] {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} [/tex]Find the square root of both sides
We have the final answer as
[tex]s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } [/tex]Hope this helps you
WILL GIVE BRAINLIEST TO THE BEST ANSWER Which statements are true? Check all that apply. As the number of trials increases, experimental probability is closer to theoretical probability. As the number of trials increases, theoretical probability changes to more closely match the experimental probability. As the number of trials increases, there is no change in the experimental probabilities. As the number of trials increases, there is no change in the theoretical probabilities.
Answer:
As the number of trials increases, experimental probability is closer to theoretical probability; as the number of trials increases, there is no change in the theoretical probabilities.
This is a bit hard to explain. I would recommend looking back at your definitions/study guides to better understand this question.
A and D
Please mark brainiest
hi :) in the pic is a question that i need help with i just dont get it
Answer:
Hey there!
The width is 3 inches, and in real life it would be 90 inches. (3x30)
The length is 5.5 inches, and in real life it would be 165 inches. (5.5x30)
90 inches is 7.5 feet
165 inches is 13.75
13.75 times 7.5 is 103.125, so rounded to the nearest integer, that would be 103 ft^2.
Hope this helps :)
Mrs.Joshi bought a saree for Rs 1,750.she sold it at a profit of 4%.what would be her profit or loss percent if she had bought it for Rs 2,000?
Answer:
9% loss
Step-by-step explanation:
We first can find the amount of money the saree was sold for by multiplying its buy cost, 1,750, by 1.04 (adding 4% to 1)
[tex]1750 \cdot 10.4 = 1820[/tex]
Now, 1820 is definitely less than 2000, so we need to find the percent difference between 2000 and 1820. We can use the formula:
[tex]\frac{higher-lower}{higher} \cdot 100[/tex]
So,
[tex]\frac{2000-1820}{2000} \cdot 100[/tex]
[tex]\frac{180}{2000} \cdot 100[/tex]
[tex]0.09 \cdot 100[/tex]
9
So, the loss percent of this dress is 9%.
Hope this helped!
The point (2, 3) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work.
Answer:
[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]
[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]
[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]
Step-by-step explanation:
We are given that The point (2, 3) is on the terminal side of angle Θ, in standard position
First Draw a vertical line from the point(2,3) to the x axis.
So, Length of vertical line is 3
The intersection of the line with the x axis is at x=2.
So, now we have obtained a triangle with the horizontal side of length 2, the vertical side of length 3
To Find hypotenuse we will use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2\\Hypotenuse^2=3^2+2^2\\Hypotenuse=\sqrt{9+4}\\Hypotenuse=\sqrt{13}[/tex]
[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]
[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]
[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5? a. 8 b. 12 c. 6 d. 16
Answer:
[tex]\boxed{12}[/tex]
Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
[tex]\frac{24}{2}[/tex] = 12
X-y= 4
x+y=8
The x-coordinate of the solution to the system shown is
06
02.
O 12
04
Answer:
x = 6.
Step-by-step explanation:
x - y = 4
x + y = 8
2x = 12
x = 6.
6 - y = 4
-y = -2
y = 2
6 + y = 8
y = 2
Hope this helps!
The solution to the system of equations is (6, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are
x-y=4 ------(i)
x+y=8 ------(ii)
Subtract equation (ii) from equation (i), we get
x+y-(x-y)=8-4
x+y-x+y=4
2y=4
y=2
Substitute y=2 in equation (i), we get
x-2=4
x=6
So, the solution is (6, 2)
Therefore, the solution to the system of equations is (6, 2).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Please can someone help
Answer:
x=6
Step-by-step explanation:
2x - 5 = 7
Add 5 to each side
2x-5+5 = 7+5
2x= 12
Divide by 2
2x/2 = 12/2
x = 6
Answer:
x = 6.
Step-by-step explanation:
2x - 5 = 7
2x = 7 + 5
2x = 12
x = 6
Check your work!
2 * 6 - 5 = 7
12 - 5 = 7
7 = 7
Hope this helps!
Please answer this in two minutes
Answer:
x ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ WXY
[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values
[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )
x sin107° = 10 sin33° ( divide both sides by sin107° )
x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )
CAN SOMEONE HELP AND ACTUALLY GET THE ANSWER RIGHT the people that have been answering my stuff keep on getting them wrong just for the points and i will be reporting them I am paying good points for these
Answer:
2143.57m^3
Step-by-step explanation:
since the equation for the volume of a sphere is
V=4/3πr^3
plug the radius, 8m into the equation in place of r
V=4/3π(8)^3
and from there multiply the rest so
V=2048(3.14)/3
V= 6430.72/3
V= 2143.57
Answer:
2143.60
OR 2143.57
EXACTLY OR 682.6 *PI (6 IS REPEATING)
Step-by-step explanation:
THE FORMULA FOR FINDING THE VOLUME OF A SPHERE IS 4/3*PI*R^3=V
SO IN THIS CASE
4/3* 3.14* 8^3=V
4/3*3.14*512=V
682.6(6 IS REPEATING)*3.14
IF U WANNA STOP NOW YOUR ANSWER WILL BE 682.6(6 IS REPEATING)*PI
IF U CONTINUE THEN
682.6(6 IS REPEATING)*3.14=V
2143.57=V
WHICH ROUNDED IS 2143.6=V
HOPE I HELPED
I SPENT 10 MINS TYPING THIS
CAN I PLS GET BRAINLIEST? (DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Drag a statement or reason to each box to complete this proof.
If -5(x + 8) = -25, then x =
-3
Please answer the question in the image below ASAP
Answer:
d. 200%
Step-by-step explanation:
( 800 ÷ 400 ) × 100
Find the center and radius of the circle defined by the equation x^2+y^2-7x+3y-4=0
Answer:
C. center: (7/2, -3/2); radius: sqrt(74)/2
Step-by-step explanation:
x^2 + y^2 - 7x + 3y - 4 = 0
We can put the equation in standard form by completing the square in x and in y.
x^2 - 7x + ___ + y^2 + 3y + ___ = 4 + ___ + ___
x^2 - 7x + (7/2)^2 + y^2 + 3y + (3/2)^2 = 4 + (7/2)^2 + (3/2)^2
(x - 7/2)^2 + (y + 3/2)^2 = 16/4 + 49/4 + 9/4
(x - 7/2)^2 + (y + 3/2)^2 = 74/4
(x - 7/2)^2 + (y + 3/2)^2 = (sqrt(74)/2)^2
Answer: center: (7/2, -3/2); radius: sqrt(74)/2
Which expressions are equivalent to -56z+28 A 1/2*(-28z+14) B (-1.4z+0.7)\* 40 C (14-7z)*(-4) D (8z-4)*(-7) E-2(-28z-14)
Answer:
D (8z-4)*(-7)
Step-by-step explanation:
Given:
-56z+28
D (8z-4)*(-7)
-56z+28
Therefore, option D is the equivalent expression
Finding the equivalent expression by solving each option and eliminating the wrong option
A 1/2*(-28z+14)
=-28z+14/2
=-14z+7
B (-1.4z+0.7) /* 40
Two signs ( division and multiplication)
Using multiplication,we have
-56z+28
Using division, we have
0.035z + 0.0175
C (14-7z)*(-4)
-56+28z
D (8z-4)*(-7)
-56z+28
E -2(-28z-14)
56z+28
Answer:
B and D
trust me
Wesimann Co. Issued 13-year bonds a year ago at a coupon rate of 7.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.6 percent, what is the current bond price?
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116