An equation is formed of two equal expressions. The amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the amount of 20%milk mixed be represented by x, while the amount of 12% milk mixed is represented by y. Therefore, the two-equation can be written as,
x+y=20 gallons
0.20x + 0.12y = (0.15×20)
Solve the first equation for x, therefore,
x = 20 - y
substitute the value of x in the second equation,
0.20(20-y) + 0.12y = 3
4 - 0.2y +0.12y = 3
-0.08y = -1
y = 12.5 gallons
substitute the value of y in the first equation,
x + 12.5 = 20
x = 7.5 gallons
Hence, the amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.
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The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase
Step-by-step explanation:
[tex]Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .
Solve for x:
x =
Answers: 22.5 30 45
A dog’s weight dropped to 62 kg after its weight decreased by 7%. What was the dog’s original weight?
Answer:
original weight= mass/weight
62kg/7
Step-by-step explanation:
8.85 original weight
Please help!!!
D is f(x)=500(x+30000)
Answer:
The correct answer is A
Step-by-step explanation:
The books sold are 30,000, so that is our total sale for January. His sales are decreasing by an average of 500 books per month, which means he is losing sales so it is a negative value, and we multiply that by x (number of months) since the question has not stated the number of months. Therefore, the equation would be f(x) = 30,000 - 500x
Hope this is of help!
Math question 10 question PLSSS HELP
Answer:
A
Step-by-step explanation:
if it is at least -27 it will be greater than or equal to -27
group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table. A 4-column table with 3 rows. The first column has no label with entries Spanish, not Spanish, total. The second column is labeled French with entries 5, 30, 35. The third column is labeled not French with entries 63, 2, 65. The fourth column is labeled total with entries 68, 32, 100. Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish
The statements which are correct include the following:
5 students study both French and Spanish.2 students study neither French nor Spanish.30 students study French, but not Spanish.ParametersThe table given shows that:
5 students study both French and Spanish.63 students study Spanish but not French.68 students study Spanish.30 students study French, but not Spanish.2 students study neither French nor Spanish.35 students study French.This therefore results in the conclusion that option 1,3 and 4 are
the most appropriate options.
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Help me this pls as soon as possible this is due today!!!
Answer:
pls refer to given attachemnt
What value of x makes this equation true? -90=-100+X
Answer:
-90=-100+x
-90+100=x
x=10
hence 10 is that value whose satisfy this equation
Step-by-step explanation:
Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16
The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.
What is the volume of the solid?Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16
From the sphere and cylinder, the cylindrical coordinate will be
[tex]z = \pm \sqrt{16 - r^2}[/tex]
And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.
Then the volume will be given as
[tex]\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74[/tex]
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THE METHOD TO SOLVE THIS 2 EQUATION IS SUBSTITTUION AND ALGERBRICALLY HERE'S THE EQUATION:
y = -5x -18
y = x
Answer:
x = 3, y = 3
Step-by-step explanation:
x = -5x -18
5x + 18 = -x
6x + 18 = 0
6x = 18
x = 3
You invest $5000 in an account to save for college.
The account pays 5% annually and compounds continuously.
What would be the account balance after 4 years.
Answer:
5000 multiplied by 0.05 multiplied by 4
Step-by-step explanation:
you should get 1000. :D next you add 1000 to the orginal 5000 to get 6000!
Please help i will give you 100 points
x = 50.5°
Explanation:In order to solve, get to know about the sine rule:
[tex]\bf Sine \ Rule = \dfrac{A}{sinA} = \dfrac{B}{sinB}= \dfrac{C}{sinC}[/tex]
Solve for BD:[tex]\sf \dfrac{BD}{sin(50)} = \dfrac{5.6}{sin(78)}[/tex]
[tex]\sf BD = \dfrac{5.6(sin(50))}{sin(78)}[/tex]
[tex]\sf BD = 4.385686657 \ cm[/tex]
Then find angle D = 180° - 78° = 102°
Solve for angle C[tex]\sf \dfrac{4.385686657}{sinC} = \dfrac{9.3}{sin(102)}[/tex]
[tex]\sf C = sin^{-1}(\dfrac{4.385686657sin(102)}{9.3} )[/tex]
[tex]\sf C = 27.37 ^{\circ \:}[/tex]
Total Sum of interior angles of a triangle is 180°[tex]\sf B + C + D = 180^\circ[/tex]
[tex]\sf x + 27.37^\circ + 102^\circ = 180^\circ[/tex]
[tex]\sf x = 180^\circ - 102^\circ - 27.37^\circ[/tex]
[tex]\sf x = 50.53^\circ[/tex]
[tex]\sf x = 50.5^\circ \ \ \ (rounded \ to \ nearest \ 3 \ significant \ figure)[/tex]
Answer:
x = 50.5° (3 sf)
Step-by-step explanation:
Sine Rule for side lengths
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Find BD:
[tex]\implies \sf \dfrac{BD}{\sin BAD}=\dfrac{AB}{\sin BDA}[/tex]
[tex]\implies \sf \dfrac{BD}{\sin 50^{\circ}}=\dfrac{5.6}{\sin 78^{\circ}}[/tex]
[tex]\implies \sf BD=\dfrac{5.6\:sin 50^{\circ}}{\sin 78^{\circ}}[/tex]
[tex]\implies \sf BD=4.385686657...cm[/tex]
Angles on a straight line sum to 180°
⇒ ∠ADB + ∠BDC = 180°
⇒ 78° + ∠BDC = 180°
⇒ ∠BDC = 102°
Sine Rule for angles
[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Find ∠BCD:
[tex]\implies \sf \dfrac{\sin BCD}{BD}=\dfrac{\sin BDC}{BC}[/tex]
[tex]\implies \sf \dfrac{\sin BCD}{4.385...}=\dfrac{\sin 102^{\circ}}{9.3}[/tex]
[tex]\implies \sf BCD=\sin^{-1}\left(\dfrac{4.385...\sin 102^{\circ}}{9.3}\right)[/tex]
[tex]\implies \sf BCD=27.46935172...^{\circ}[/tex]
The interior angles of a triangle sum to 180°
⇒ ∠CBD + ∠BDC + ∠BCD = 180°
⇒ x + 102° + 27.469...° = 180°
⇒ x = 50.53064828...°
⇒ x = 50.5° (3 sf)
Jessie claims that if any number is doubled and then increased by 1, the result will be greater than 4.
Jessie’s claim is NOT true for all values of n.
enter a value of n for which Jessie’s claim is NOT true.
Answer:
n = 1
Step-by-step explanation:
1 x 2 = 2
2 + 1 = 3
3 < 4
hope this helps
A single card is drawn from a standard deck of cards. Find the probability of drawing a club or a diamond.
Answer:
1/10
Step-by-step explanation:
The ratio of pounds of vegetables to pounds of protein on the dinner plate is 5 to 2. IF
there are 25 pounds of vegetables, how many pounds of protein are on the dinner plate?
Answer:
10 lbs
Step-by-step explanation:
25 is to 5 as x is to 2
25/5 = x/2
2 * 25/5 = x = 10 lbs
Andrea is buying a $400000 house and wants to make a 20% down payment. What amount will her down payment be
Step-by-step explanation:
I always try to find the easiest way to solve this kind of questions.
The easiest percentage to calculate with is number 10.
first step , divide the whole amount of the money by ten.
as a result we get 40,000
second step, we were asked to calculate a20% so we will double the 10 percent
and the answer goes to 80,000.
Answer:
Step-by-step explanation: umm i think 6000000 i don't know it might be right because i guess you need to add
which part of this graph shows a nonlinear relationship?
1. 4
2. 1
3. 3
4. 2
Penny is planning a trip to egypt. she has mapped out the expected costs of some different components of her trip, and has compiled them below, including whether the cost is in us dollars ($) or egyptian pounds (£). item cost currency plane ticket 3,241.77 £ passport 65.00 $ tour guide 494.25 £ international phone card 41.38 $ hotel reservation 398.26 £ car rental 644.48 £ if the exchange rate of the us dollar to egyptian pound is 1:5.3841, how much has penny currently budgeted for her trip, in us dollars? round all currencies to two decimal places. a. $895.25 b. $993.95 c. $1,001.63 d. $1,468.01
The total amount that Penny has budgeted for her trip to Egypt is £5351.62.
What is the total amount budgeted for the trip?The exchange rate is the rate at which one currency is exchanged for another currency. The total amount that was budgeted by Penny is the sum of the different compoments that she compiled for the trip.
Cost of international phone card in Egyptian pound = 41.38 x 5.3841 =£222.79
Cost of passport in Egyptian pound = 65 x 5.3841 = £349.97
Total cost = 3,241.77 + £222.79 + 494.25 + £349.97+ 398.26 £ + 644.48 = £5351.62
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-2/5x - 1/2 + x = -40/11
Answer: x = 6.56
Step-by-step explanation: -0.4x - 0.5 + x = 3.63
-0.4x^2 - 0.5 = 3.63
-0.4x^2 = 4.13
0.63x = 4.13
x = 6.56
Solve two sevenths plus seven fourteenths (2 points)
1 eleven fourteenths
2twelve fourteenths
3 nine seventh
4 eleven sevenths
Answer:
2/7 + 7/14 = 11/14
Step-by-step explanation:
7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!
This means 2/7 = 4/14
4/14 + 7/14 = 11/14
Answer:
eleven fourteenths
Step-by-step explanation:
Monômios
[tex]2x^{3}+5x-3x^{2} +x-6+2x^{2}=[/tex]
Find the probability of rolling factors of 24
Answer:
5/6
Step-by-step explanation:
The factors of 24 that are on a die are: 1,2,3,4 and 6. This only leaves 5 that isn't a factor of 24. Therefore, since there are 5 possibilities out of the 6 total numbers, the probability of rolling factors of 24 is 5/6.
What are the vertical asymptotes
type the correct answer in the box use nummerals instead of words. if necessary use / for the faction bar
ill mark the brainliest if correct
Answer: f(y) x g(y) = 1
Step-by-step explanation:
[tex]\frac{2y^3-y^2+2y-1}{y^3-y^2+y-1}\cdot \frac{2y^2-3y+1}{4y^2-4y+1}\\\\= \frac{4y^5-8y^4+9y^3-9y^2+5y-1}{4y^5-8y^4+9y^3-9y^2+5y-1} \\\\= \frac{(y-1)(2y-1)(2y-1)(y^2+1)}{(y-1)(2y-1)(2y-1)(y^2+1)} \\\\= 1[/tex]
A recent study found that the average length of caterpillars was 2.8 centimeters with a
standard deviation of 0.7 centimeters. what is the probability that a randomly selected caterpillar will have a
length longer than (greater than) 4.0 centimeters?
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 2.8, \sigma = 0.7[/tex].
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is one subtracted by the p-value of Z when X = 4, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4 - 2.8}{0.7}[/tex]
Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
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What is the equation 8x-3y=6-4x in Stanford form?
Answer:
[tex]12x - 3y = 6[/tex]
Step-by-step explanation:
Standard form is written this way: [tex]Ax+By=C[/tex]
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: [tex]12x - 3y = 6[/tex].
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach. To estimate support for firing the current head coach, a television news station provides a link on its website where fans of the team can respond to the question: "Do you feel the current head coach should be fired?” After 2,367 votes on the website, 79% of those who responded felt the coach should be fired. Which of these describes the type of bias in this survey and a likely direction of the bias in estimating overall support for firing the coach?
This is nonresponse bias. The result overestimates true support for firing the coach.
This is nonresponse bias. The result underestimates true support for firing the coach.
This is voluntary response bias. The result overestimates true support for firing the coach.
This is voluntary response bias. The result underestimates true support for firing the coach.
The statement third, “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach.
Number of votes V(n) = 2367
After the value of V(n) 79% of those who responded felt the coach should be fired.
Based on the data given, we can say this is referred to as voluntary response bias. The outcome exaggerates the level of support for firing the coach.
Thus, the statement third “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
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Which algebraic expression is a polynomial with a degree of 4? 5x4 startroot 4 x endroot x5 – 6x4 14x3 x2 9x4 – x3 – startfraction x over 5 endfraction 2x4 – 6x4 startfraction 14 over x endfraction
The algebraic expression of a polynomial with a degree of 4 is 9x⁴ – x³ – x/5
How to determine the polynomial?For a polynomial to have a degree of 4, the following must be true:
All exponents must be whole numbersThe highest exponent must be 4Using the above highlight, the algebraic expression of a polynomial with a degree of 4 is 9x⁴ – x³ – x/5
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what is the surface area of a rectangle polyhedron in square units?
Answer:
The surface area of a polyhedron is the number of square units that covers all the faces of the polyhedron, without any gaps or overlaps.
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of the base is 8 cm. Determine the volume of the toy. If the cube circumscribes the toy, then find the difference of the volumes of the cube and the toy. Also, find the total surface area of the toy.
Donno.. don't answer
Answer:
See below ~
Step-by-step explanation:
Things to Find
Volume of ToyDifference of Volumes in Cube and ToyTotal Surface of ToyVolume of Toy
Volume of Hemisphere + Volume (Cone)2/3πr³ + 1/3πr²h1/3πr² (2r + h)1/3 x 3.14 x 16 (8 + 4)1/3 x 50.24 x 1250.24 x 4200.96 cm³Volume of Circumscribing Cube
Edge length is same as diameterV = (8)³V = 512 cm³Difference in Volume
512 - 200.96311.04 cm³Slant height of cone
l² = 4² + 4²l² = 32l = 4√2 cm = 5.6 cmSurface Area of Toy
CSA (hemisphere) + CSA (Cone)2πr² + πrlπr (2r + l)3.14 x 4 (8 + 5.6)12.56 x 13.6170.8 cm²