Answer:
I think the second one is the answer
There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
PLEASE HELP AND SHOW THE WORK
An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.
An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)
Where:
m represent the slope.x and y represent the points.At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)
y + 3 = 2(x + 1)
y = 2x + 2 - 3
y = 2x - 1
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
2 × m₂ = -1
m₂ = -1/2.
At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x + 4)
y = -x/2 - 2 + 5
y = -x/2 + 3
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Which of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913
Answer:
91.3 and 0913
Step-by-step explanation:
91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.
Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.
91.3 would happen if you were adding .3 to 91
And 0913 would happen if you added 91 and 822
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
5 + (-3) is units from 5 in which direction
Answer:
Step-by-step explanation:
That would be "3 units to the left of x = 5."
Answer:
0
Step-by-step explanation:
5 + (-3) is units from 0, in the direction.
During the summer, 1.3% of the water in the kiddie pool evaporates every day. If the kiddie pool holds 8,000 gallons of water and is not
refilled for 10 days, how many gallons of water will be in the pool? Round your answer to the nearest gallon enter the amount
Answer:
7019 gallonsStep-by-step explanation:
Initial volume of water = 8000 galDaily reduction = 1.3% Time = 10 daysRequired equation:
8000*(1- 0.013)^10 =8000*0.987^10 =7018.7781 ≈ 7019 rounded to the nearest gallongeometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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HURRY ANSWER PLEASE!! There are 15 students in the orchestra and twice that number in the band. There are 37 boys and 37 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?
Answer:
15 in orchestra, 30 in band, and 74 in choir = 119
Step-by-step explanation:
15 orchestra
15*2=30
37+37=74
15+30+74=119
is the product of which of the following two radical numbers?
Answer:
The third line
Step-by-step explanation:
let's see all choices by solving them
1) The first one
\( \sqrt[ 3]{ - 5} \sqrt[3]{3} = \sqrt[3]{ - 15} (negative \: times \: positive \: is \: negative)\)
2) The second one
\( \sqrt[3]{5} \sqrt[3]{ - 3} = \sqrt[3]{ - 15} (positive \: times \: negative \: is \: negative)\)
3) The third one
\( \sqrt[3]{ - 5} \sqrt[3]{ - 3} = \sqrt[3]{15} (negative \: times \: negative \: is \: positive) \: this \: choice \: is \: the \: answer \: because \: the \: question \: asks \: positive \: radical \: number\)
4) The fourth one
\( \sqrt[3]{ - 15} \sqrt[3]{1} = \sqrt[3]{ - 15} (any \: number \: multiply \: by \: one \: is \: it \: self \)
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For any question comment me
Answer:
Step-by-step explanation:
this mean answer is b
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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-2x^2 + 4x + 16 in vertex form
Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Work out 40 +
5
Give your answer as a whole number or as
a fraction in its lowest terms.
please I beg help meeer
Using the addition operation, the sum of 40 + 5 is 45.
What is the addition operation?The addition operation is one of the basic mathematical operations.
Other mathematical operations include subtraction, division, multiplication, exponentiation, and functions.
The addition operation involves two addends added using the addition operand (+) and the equal symbol (=) we show the result of the algebraic operation called the sum or total.
Thus, when five is added to forty (40 + 5), the result or sum is forty-five (45).
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Use the graph of the parabola to fill in the table
From the question and graph provided we have a parabola (graph of a quadratic equation).
The characteristics of the graph includces amongst other things its "U" shape which clearly identifies a parabola.
ANSWER:
(a)
The parabola in this graph is an upside down "U" shaped graph which means it actually opens downwards.
(b)
The x-intercept(s) is defined as the point(s) where the parabola crosses the x-axis and at the same time the y-value is zero, that is,
\(\begin{gathered} \text{When} \\ y=0,x=\text{?} \end{gathered}\)Along the horizontal line, y is always equal to zero, and at that point the graph touches the x-axis at x = 2. Therefore;
\(\begin{gathered} x-\text{intercept;} \\ x=2 \end{gathered}\)Similarly along the vertical line, x is always equal to zero, and at that point the graph touches the y-axis at y = -1. Therefore;
\(\begin{gathered} y-\text{intercept;} \\ y=-1 \end{gathered}\)(c)
The vertex is the highest/lowest point on the parabola. That is the point where graph reaches its maximum and then begins to fall.
From the graph provided, the vertex here is at the point
\(\text{Vertex}=(2,0)\)How long do you think it would take for the material to decay to 23% (without doing the actual calculation), make an explanation using the half-life being 12 years
Solution
The exponential decay can be expressed as;
\(A(t)=A_0(\frac{1}{2})^{^{\frac{t}{t_{half}}}}\)\(\begin{gathered} \Rightarrow0.23=(\frac{1}{2})^{\frac{t}{12}} \\ \\ \Rightarrow\ln(0.23)=\frac{t}{12}\ln(\frac{1}{2}) \\ \\ \Rightarrow t=\frac{12\times\ln(0.23)}{\ln(\frac{1}{2})}=25 \end{gathered}\)Hence, it will take about 25 years. (By calculation)
By Inspection.
12 years is 50%
24 years is 25%
It will take about 24 years to decay to 23%
Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?
Eating burgers more often is associated with eating french fries more often.
Eating sandwiches more often is associated with eating bread more often.
Eating hot dogs more often is associated with eating coleslaw more often.
Therefore, option a reflects both eating more burgers would likely lead to eating more French fries as well.
Describe the correlation?
A statistical relationship between two variables is called a correlation. The connection between cause and effect is known as causation. Correlation does not always imply causation, even though it can show a link between two variables.
In this case,
the relationship that most likely reflects both correlation and causation is “Eating burgers more often is associated with eating french fries more often.” This is because burgers and french fries are often served together in fast food restaurants.
However, it’s important to note that correlation does not always imply causation. Just because two variables are correlated does not mean that one causes the other.
What does the term "causation" mean?
Causation, as used in law, denotes the cause-and-effect connection between an occurrence or action and the outcome. The thing that causes an effect is the act or process. It is not sufficient to just demonstrate that the defendant was negligent in a personal injury case; you must also demonstrate causation.
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A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she throws 3 shots. Let x = the number of shots that he makes. What is the probability that she makes 0 shots?.
The probability that the basketball player makes 0 shots out of 3 is 0.343, or 34.3%. This can be calculated by using the binomial probability formula.
To calculate the probability of any outcome of a binomial experiment, use the formula: P(x) = nCx * px * (1-p)n-x, where n is the number of trials, x is the number of successes, and p is the probability of success in any one trial.
The Binomial Probability formula is
P(x) = nCx * \(p^x\) * \((1-p)^{(n-x)}\).In this case, n = 3, x = 0, p = 0.39, and (1-p) = 0.61. Plugging these values into the formula, we get
P(x) = 3C0 * \(0.39^0\) * 0.61³
= 0.343.
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find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
12. Samantha can walk 4.5 miles in 30
minutes. How many miles can she walk per
minute?
Answer:
0.15 miles per minute
Step-by-step explanation:
You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.
Unit rateTo find miles per minute, divide miles by minutes.
speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min
Samantha can walk 0.15 miles per minute.
solve the system of equations y = 2x - 5; y = -2x + 3
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
geometry!! can someone help me with #23 please? it would mean a lot thanks :)
Answer:
yes, they are parallel lines in #23
Step-by-step explanation:
the slope of both lines is -1
Joann had a vegetable stand where she sold tomatoes. She sold 15 tomatoes the first day. The second day she sold half of what was left. On the third day she sold 12 and sold half of what was left on the fourth day. On the fifth day there were 4 tomatoes left to be sold. How many tomatoes did she have to begin with?
On the fifth day there were 4 tοmatοes left tο be sοld. Jοann had 71 tοmatοes tο begin with.
What is prοbability?Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is a number between 0 and 1, where 0 indicates that the event is impοssible, and 1 indicates that the event is certain tο οccur.
Let's wοrk backwards frοm the last day and figure οut hοw many tοmatοes Jοann had οn the fοurth day.
On the fifth day, there were 4 tοmatοes left tο be sοld, which means she sοld half οf what was left οn the fοurth day. Sο she must have started with 8 tοmatοes οn the fοurth day (since half οf 8 is 4).
On the fοurth day, she sοld half οf what was left, which means she had 16 tοmatοes befοre she sοld any.
On the third day, she sοld 12 tοmatοes, which means she had 28 tοmatοes befοre she sοld any.
On the secοnd day, she sοld half οf what was left, which means she had 56 tοmatοes befοre she sοld any.
Finally, οn the first day, she sοld 15 tοmatοes.
Therefοre, Jοann had 71 tοmatοes tο begin with.
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A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
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Random experiment with order, replacement and without repetition
Help!!!!! find the value of x.
Answer:
x = 48
Step-by-step explanation:
The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:
x - 12 + 3x = 180
4x - 12 = 180
4x = 192
x = 48
Answer:
\(x=42\) ✔︎
Step-by-step explanation:
∠1 + ∠2=1803x+x-12=1804x-12=1804x=180-124x=168x=42°∠1= 3x=3×42=126°
∠2=x-12=42-12= 30°
------------------------------
hope it helps...
have a great day!!
Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What is the number of individual outcomes when spinning the wheel three times
Answer:
Step-by-step explanation:
4 Section on the spinner and three spins:
4^3=64
The number of individual outcomes when spinning the wheel three times is 64 times
What is power in mathematics?In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.
A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.
Given
Sections = 4
no. of spinners per player = 3
no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64
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what is the maths formula for area
Answer:
Quick internet search:
-4(5x-3)+15 what is the answer
Answer:
-20x+27
Step-by-step explanation:
-4 times 5x = -20x
-3 rimes -4 = 12
12+15=27
-20x+27
Answer:
-20x +27
Step-by-step explanation:
m-a-t-h-w-a-y
A regular pentagon and an equilateral triangle have the same perimeter.
The perimeter of the pentagon is 5 (1 x - 1) inches.
The perimeter of the triangle is 3 (x – 5) inches.
What is the perimeter of each figure?
9 inches
15 inches
20 inches
45 inches
Find what percent 768 is of 3,200.
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.