In an election, 313 votes are cast. How many votes are needed to have a majority of
the votes in this election?
Answer with a whole number of votes.
Write an equation for a line perpendicular to y = 3x + 2 and passing through the point (9,1)
Step-by-step explanation:
the slope of a line is always the factor of x, and it is defined as ratio (y coordinate change / x coordinate change) when going from one point to another on the line.
in that sense it is y/x.
the perpendicular slope turns that ratio upside-down and flips the overall sign.
so, in our case, the original slope is 3 = 3/1.
the perpendicular slope is then -1/3.
so, now, we have the slope and a point, and we can start with the point-slope form of the line equation :
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 1 = -1/3 × (x - 9) = -x/3 + 3
y = -x/3 + 4
and that is the usual slope-intercept form
y = ax + b
"a" is again the slope, "b" is the y-intercept (the y value when x = 0).
PLEASE HELP!
Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Answer:
the last choice
Step-by-step explanation:
u will minus 3 from each side. that's the point
Estimate the probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws.
The probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now it is given that,
The proportion of free throws the player makes, p = 80% = 0.8
The number of throws, n = 3
The throws the player makes, r = 2
Since the probability is given as,
P(r) = nCr x p^r x (1 - p)^(n-r)
So, the probability that an NBA player makes 2 of his next 3 free throws
Putting the values we get,
P(2) = ³C₂ x (0.8)^2 x (1 - 0.8)^(3-2)
Solving we get,
P(2) = 3 x 0.64 x (0.2)^(1)
Thus we get,
P(2) = 3 x 0.64 x 0.2
Multiplying we get,
P(2) = 0.384
this is the required probability that an NBA player makes 2 of his next 3 free throws.
Thus, the probability that an NBA player who makes 80% of his free throws makes 2 of his next 3 free throws is 0.384
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Amos says that the opposite and the absolute value of a number are always the same
Amos says that the opposite and the absolute value of a number are always the same. This is true.
How to express the information?It should be noted that from the information, Amos says that the opposite and the absolute value of a number are always the same.
For example, given the number 23, the opposite will be -23 and the absolute value is also -23. This implies that they are the same.
Therefore, Amos says that the opposite and the absolute value of a number are always the same. This is true.
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Amos says that the opposite and the absolute value of a number are always the same. True or false.
The larger of two numbers is 10 less than the smaller number. The sum of the two numbers is 50 . Find the two numbers.
The value of the two numbers are 30 and 20.
According to the statement
We have to find that the value of the two numbers.
So, For this purpose, we know that the
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the given information:
The larger of two numbers is 10 less than the smaller number. The sum of the two numbers is 50.
Then
Let the first number be x and the second number y
Then
y = x -10
And
x+y = 50
Then
Substitute the value then
x+x-10 = 50
2x = 50+10
2x = 60
x =30
Then
y = x -10
y = 30 -10
y = 20
So, The value of the two numbers are 30 and 20.
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1. Triangle ABC with coordinates A(12, -3), B(12, 3) and C(-1, -1) is reflected across
the line Y=3. What are the new coordinates?
Answer:
A'(12,9), B'(12,3), C'(-1,5)
Step-by-step explanation:
A is 6 units from the line y=3, so it will map to be 6 units away on the other side of y=3, to the point (12, 9).
Similarly, B' has coordinates (12,3) and C' has coordinates (-1, 5)
The coordinate 6 has a weight of 2, the coordinate 9
has a weight of 2, and the coordinate 15 has a weight
of 1. Find the weighted average.
The weight average of the coordinates is 9
Given,
The coordinate 6 has a weight of 2
The coordinate 9 has a weight of 2
The coordinate 15 has a weight of 1
We have to find the weight average:
The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = ( (6 x 2) + (9 x 2) + (15 x 1) ) / (2 + 2 + 1)
= (12 + 18 + 15) / 5
= 45 / 5
= 9
Hence, the weight average of the coordinates is 9
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solve each system of inequalities and indicate any three solutions. x-0.8 <0, -5x<10
The three solutions of the inequalities are x < 0 , x < 0.8 , x< -2
What are inequalities?Inequalities are defined as mathematical expressions in which both sides are not made equal to each other.
Given the inequalities;
x-0.8 <0-5x<10Let's solve for the value of x
x - 0.8 < 0
Make 'x' the subject
x < 0 + 0. 8
x < 0. 8
-5x < 10
Make 'x' the subject by dividing both sides by - 5
-5x/ 5 < 10/ -5
x < -2
Thus, the three solutions of the inequalities are x < 0 , x < 0.8 , x< -2
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Will Give Brainliest!!!! Match each step with the correct justification.
Given: QM MR
a. Given
b. Subtraction Property of Equality
c. Addition Property of Equality
d. Substitution.
e. Division Property of Equality
Answer:
A D B C E
Step-by-step explanation:
That is the order of steps in the solution
Athena's credit card has an APR of 32.99%. If her current monthly balance, before interest, is $2,719.83, what amount will she be charged for interest?
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. Athena's will be charged $74.77 for interest.
What is Interest Rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Given,
Athena's credit card has an APR of 32.99%.
We need to convert the percentage to decimal.
32.99%=32.99/100
=0.3299
The amount will she be charged for interest is
=(2719.83*0.3299)/12
=897.27/12
=74.77
Therefore Athena's will be charged $74.77 for interest.
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Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 27 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race?
The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
According to the statement,We have to find that the distance of the run and the bicycle race.
So, For this purpose, we know that the
The distance between two points is that the length of the trail connecting them.
From the given information:
you have entered a 42-mile biathlon that consists of a run and a race. During your run, your average velocity is 5 miles per hour, and through your race, your average velocity is 27 miles per hour. You finish the race in 4 hours.
Then
Total distance of the race = 42 miles
The average velocity of the running = 5 miles per hour
The average velocity of the bicycling = 27 miles per hour
Then
If let he covers 27 miles with the cycles then
The distance he runs = 42-27
The distance he runs = 15.
Then it means he runs for a 3 hours.
So, The distance of the running is 15 miles and the distance of the bicycling is 27 miles.
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Exactly 120 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answer: Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
Step-by-step explanation:
Given data,
Exactly 120 years ago, students planted a tree in front of their school
Since then, the tree has grown 33 meters taller
The distance around the trunk has increased by 3 meters.
Define Unit rate :
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
So, we can write,
There are 2 various unit rates in this:
The increase of the tree's height per year
The increase of the tree's trunk per year
Let us assume,
The increase of the tree's height per year = x
The increase of the tree's trunk per year = y
we can solve it :
Rate of tree's height per year x = 33m / 120 years
x = 0.275 m per year.
Rate of tree's trunk per year y = 3m / 120 years
y = 0.025 m per year.
Therefore,
Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
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WILL give branilist if correct!! Answer both questions correctly
Answer:
6. perfect squares 5 and 6
7. between integers 5 and 6
Step-by-step explanation:
[tex]\sqrt[3]{141} = 35.62\\[/tex]
¿Es este polígono un paralelogramo ? Explica
Answer: No veo lo que estás mirando. Pero aquí hay un consejo para ayudarte. Un paralelogramo es una figura con cuatro lados en los que los lados opuestos son paralelos.
¡Espero que esto ayude! :)
Solve the equation 5k^2−20k=15 . Present exact values of the solutions. If there are more than one solutions, separate them by a comma.
Two or more expressions with equal sign is equation, if the equation 5k^2−20k=15 then 1 and 3 are exact values of the solutions.
What is Equation?Two or more expressions with equal sign is called as Equation.
The given equation 5k^2−20k=15,
let us make it a QE by taking 15 to left.
5k^2−20k-15
a=5, b=-20, c=-15
k=-b±√b^2-4ac/2a
=20±√(-20)^2-4(5)(-15)/2(5)
=20±√400-300/10
=20±√100/10
=20±10/10
k=20+10/10 or k=20-10/10
k=3, or k=1
Therefore the solutions of equation 5k^2−20k=15 are 1 and 3.
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Is the product of 3/6 x 5/4 equal to the product of 3/4 x 5/6? Explain.
The product of 3/6×5/4 is equal to the product of 3/4×5/6.
What is simplification?
A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statementMaking something simpler is making it less intricate or cluttered. When you describe a complex mathematical idea to a child in words they can easily understand, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.Here,
3/6×5/4 = 3 * 5 / 6* 4
= 15 / 24
3/4×5/6 = 3 * 5 / 4 * 6
= 15 / 24
Thus, The product of 3/6×5/4 is equal to the product of 3/4×5/6.
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elise does not like sorbet
Answer: wdym
Step-by-step explanation:
Elise doesn't like sorbet.
(Assuming we fix the grammar???)
Debra is 7 years younger than Pamela. In 6 years, Pamela will be twice as old as Debra. How old is Pamela now?
Pamela is 1 year old now.
How to solve problems on ages ?
If the present age of a person be X, thenAge after n years = X +n
Age n years ago = X - n
n times the present age = nX
If ages in the numerical are mentioned in the ratio A : B, then A : B will be AX and BX.
If the sum of ages is X and Y and the ratio of their ages is p : q respectively, then you can determine the age of Y by using the formula shown below:Age of Y = Ratio of Y / Sum of ratios x sum of ages
Age of Y = q/ (p +q) x A
In the given statement is:
Debra is 7 years younger than Pamela. In 6 years, Pamela will be twice as old as Debra.
To find the how old is Pamela now.
Now, Based on the given conditions,
Formulate:
Let x be the Pamela's age
6 + 7 + x = 2(6 + x)
13 + x = 12 + 2x
x - 2x = 12 - 13
-x = -1
x = 1
Hence, Pamela is 1 year old now.
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I need more help on other questions! Same assignment
Answer:
a. [tex]\frac{10}{3}[/tex]
b. [tex]\frac{4}{3}[/tex]
c.[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
a.
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
[tex]3\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{7}{2}[/tex]
b.
reciprocal is technically the opposite
c.
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]
[tex]=\frac{7}{2}\div \frac{3}{4}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{7}{2}\times \frac{4}{3}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]
[tex]=\frac{7}{1}\times \frac{2}{3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]\frac{7\times \:2}{1\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:7\times \:2=14[/tex]
[tex]=\frac{14}{1\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:3=3[/tex]
[tex]=\frac{14}{3}[/tex]
[tex]\mathrm{Convert\:improper\:fraction\:to\:mixed\:numbers}[/tex]
[tex]4\frac{2}{3}[/tex]
Which equation and number line show that a number and its opposite are additive inverses?
Which equation and number line show that a number and its opposite are additive inverses?
An equation and number line which shows that a number and its opposite are additive inverses is: 2 + (-2) = 0 in graph B.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is an additive inverse?An additive inverse can be defined as a number (n) which when added to another number (a) makes it equal to zero (0). This ultimately implies that, an additive inverse is the opposite of another number (a).
Mathematically, an additive inverse can be represented by the following expressions:
a + n = 0
a = -n
In this context, we can reasonably infer and logically deduce that an equation and number line which shows that a number and its opposite are additive inverses is 2 + (-2) = 0 in graph B (see attachment).
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Find the area of a parallelogram with a base of 9 ft a height of 4 ft.
Who invented and defined zero
Answer:
Brahmagupta in 628
Step-by-step explanation:
Answer:
Zero and its operation are first defined by Brahmagupta in 628. He developed a symbol for zero: a dot underneath numbers.
An investment of $34,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third
9%. Total interest from the investments was $2700. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
The first part of the investment was $
Answer:7000
Step-by-step explanation:3400-2700=7000
need help with # 6 asap
The equation that is parallel and perpendicular are y + 4 = 7/5(x-35) and y+4 = -5/7(x - 35) respectively.
Equation of a lineA line is defined as the shortest distance between two points. The formula for finding the equation of a line in point slope form is:
y - y₁ = m(x-x₁) (Parallel lines)
y - y₁ = -1/m(x-x₁) (Perpendicular lines)
Given the following parameters;
Point = (35, -4)
Given the equation 7x-5y = 0
5y = 7x
y = 7/5x
Slope = 7/5
Substitute the slope and point into the equation
y + 4 = 7/5(x-35) (Parallel lines)
y +4 = -1/(7/5)(x-35) (Perpendicular lines)
y+4 = -5/7(x - 35)(Perpendicular lines)
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Look for a pattern in the following list. Then use this pattern to predict the next number.
1
1
6,6,7,7,8,...
Type the next number in the list.
7.
"
6,
(Type an integer or a fraction.)
***
...
Mr. Jordan's class is having a pizza party with the $100 they earned in a competition. A cheese pizza costs $10, and a pepperoni pizza costs $15. They must order at
least 2 pepperoni pizzas. They also must order at least twice as many cheese pizzas as pepperoni pizzas.
What is the greatest total number of pizzas Mr. Jordan's class can order?
7
please answer asap. 100 points and marked brainliest!
Answer:5 per Gallone
Step-by-step explanation:
Answer:
Gas in India is $3.88 per gallon.
This is MORE expensive than $2.36 per gallon.
Step-by-step explanation:
Use the conversion factors given to change rupees to dollars and liters to gallons. See image.
(and btw, this question has very outdated information. Gas is $5.90 per gallon today in this poster's City, State, USA)
-3(-7b + 3) + 8b = 5b-4(1 - 6b)
Answer:
No solution
Step-by-step explanation:
Given f(x)=(x+3)^2 and g(x)=|x+1| , which value is a solution to the equation f(x)=g(x) ?
A. –5
B. 5
C. 4
D. -1
help asap pls
Answer:
A) [tex]x = -5[/tex]
Step-by-step explanation:
[tex](x + 3)^2 = | x + 1 |\\\to x^2 + 6x + 9 = | x + 1|[/tex]
Case 1: x + 1 is positive
[tex]x^2 + 6x + 9 = x + 1\\\to x^2 + 5x + 8 = 0\\\to \text{No solutions.}[/tex]
Case 2: x + 1 is negative
[tex]-x^2 - 6x - 9 = x + 1\\\to 0 = x^2 + 7x + 10\\\to 0 = (x + 5)( x + 2)\\\to x = -5 \text{ or } x = -2[/tex]