The coordinates of P are (12, 2).
Solution:
Given data:
[tex](x_1, y_1)= A (4, 2)[/tex] and [tex](x_2, y_2)=B(22, 2)[/tex]
P(x, y) is the point on the line segment AB.
AP : PB = m : n = 4 : 5.
That is m = 4 and n = 5.
Section formula:
[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]
[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]
[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]
[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]
P(x, y) = (12, 2)
Hence the coordinates of P are (12, 2).
Louise sold 414 soft pretzels. If she sold them in groups of 18 soft pretzels, how many groups did she sell?
Answer:
23 groups :)
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
Ok so heres the deal: You want to somehow take all 414 of those delicious pretzels and put them into x groups of 18. To do that you would divide 414 by the number of groups (x).
414/x=18
To solve this you just have to get x by itself.
So, multiply both sides by x.
414=18x.
Now divide by 18
414/18=x
23=x
Choose the graph of the solution to this inequality.
c-12>-16
Answer:
Option A
Step-by-step explanation:
c - 12 > - 16
c > -16 + 12
c > -4
Inequality equations are the equation which in which the two expressions are compare with the greater than sign, less than sign or other inequality signs.The option A has the graph of the solution of the given inequality equation. Thus option A is the correct option.
Given-
The given inequality equation in the problem is,
[tex]c-12>-16[/tex]
Inequality equation-An inequality is the mathematical statement that compares the algebraic expressions using the signs of greater than (>) or less than (<) or with other inequality signs.
Arrange the inequality equation by replacing the constant, we get,
[tex]c>-16+12[/tex]
Solve the equation further to get the value of c,
[tex]c>-4[/tex]
Thus the value of point c must be greater than the -4.
In the given options the value of the graph A indicates the value -4 in it. The option A has the graph of the solution of the given inequality equation. Thus option A is the correct option.
For more about the inequality equation, follow the link below-
https://brainly.com/question/11897796
Solve of x:
0.5(4x + 6) = 5x + 24.7
Answer:
[tex]0.5(4x + 6) = 5x + 24.7 \\ 2x + 3 = 5x + 24.7 \\ 3 - 24.7 = 5x - 2x \\ - 21.7 = 3x \\ \frac{ - 21.7}{3} = \frac{3x}{3 } \\ x = - 7.2333[/tex]
Answer:
x=-37.4
Step-by-step explanation:
0.5(4x + 6) = 5x + 24.7 (0.5*4x=4.5x)
4.5x+6=5x+24.7
4.5x-5x+6=5x-5x+24.7
-0.5x+6=24.7
-0.5x+6-6=24.7-6
-0.5x=18.7
-0.5x/-0.5=18.7/-0.5
x=-37.4
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true? A) On average, boys like peanut butter more than girls did. B) The person who rated peanut butter the worst was a boy. C) Boys varied more in how they liked peanut butter than the girls did. D) There is not enough information to know if any of the above are true.
Answer:
I think that the answer is option A
Answer:
a
Step-by-step explanation:
Solve each pair of equations by substituting
2x + y = 3
4x + 3y = 1
Answer:
the value of x and y is 4 and -5 respectively.
Step-by-step explanation:
from the equation we say let;
2x + y = 3 .............. equation 1
4x + 3y = 1.............. equation 2
from equation 1
2x + y = 3 .............. equation 1
y = 3 - 2x................ equation 3
Substitute for y in equation 2
4x + 3y = 1.............. equation 2
we have,
4x + 3(3- 2x) = 1
4x + 9 -6x = 1
we have to collect the like terms
9-1 = 6x -4x
8 = 2x
divide both sides by 2
8/2 = 2x/2
4 = x
therefore x = 4
put x = 4 in equation 3
y = 3 - 2x................ equation 3
y = 3 - 2(4)
y = 3 -8
y = -5
therefore the value of x and y is 4 and -5 respectively.
to check if your answer is correct, put the value of x and y in any of the equations.
2x + y = 3 .............. equation 1
2(4) + (-5) = 3
8 -5 = 3
3 = 3......................... proved
Sue bought 3.5 yards of material at $8.70 per
yard and 5 yards of lace trim. She spent $32.90 in
total. Calculate the cost of 1 yard of lace trim.
Answer: $.49
step explanation:
Sue bought 3.5 yards of material at $8.70 per yard (3.5x8.70=30.45)
Sue also bought 5 yards of lace trim.
Her total was 32.90 and we want to find out how much the lace trim cost.
We will subtract the initial material to get the subtotal cost for just the lace trim. (32.90-30.45=2.45)
5 yards of lace trim total up to $2.45. To get how much each yard cost we will divide (2.45÷5=.49)
Each yard of lace trim costs $.49 cents
A sports tournament has 4 teams.Each team has the same number of the players.There 12 players total.how many players does each team have.?
Answer:
3 players each
Step-by-step explanation:
12 divided by 4 is 3
Answer:
each team has 3 players because
Step-by-step explanation:
As you said the tournament has 4 team, each team has same number of players and there is 12 people in all. So,
12/4=3
3+3+3+3=12
Which equation shows a greater rate?
y=x + 2
y=3x - 2
y=4x + 1
y=2x - 1
Answer:
im gonna have to say C
Step-by-step explanation:
What property would justify the following statement?
If a = b and b = c, then a = c.
Answer:
It is the transitive property of equality
Answer: Transitive Property of Equality
Step-by-step explanation: The transitive property of equality states that if a = b and b = c, then a = c.
For example, if we're given the segment shown in the image provided and we know that the length of segment WX = XY and the length of segment XY = YZ, then based on the transitive property, he length of segment WX = YZ.
Cher is giving $330 to her grandchildren. She has 10 grandchildren
and each grandchild is going to receive the same amount of money.
How much will Cher give to each grandchild?
Answer:
$33 for each grandchild.
Step-by-step explanation:
If Cher has $330 to give to 10 grandkids equally you have to devide.
So you would do $330 divided by 10 (number of grandchildren), which equals $33. So each child gets $33.
an box of oranges weighs 4 kg an one orange weighs 80 grams how many oranges are in the box
Answer:
50 Oranges
Step-by-step explanation:
4 kg = 4000 grams because 1 kg = 1000 grams.
4000 grams divided by 80 grams gives us the number of oranges in the box since each orange weighs 80 grams.
4000/80 = 50.
Answer:
50 oranges
Step-by-step explanation:
First we need to know the conversion measure.
1kg=1000grams
And if a box is 4kg heavy, it means only oranges weighing 4 times 1000grams can fill it up.
If an orange now weigh 80grams. It means how many oranges will measure up to 1000grams.
1000/80 = 50
50 oranges, each weighing 80grams will fill up a box to weigh 4kg
what is the decimal of 3 and 2 thirds
Answer: 3.2
Step-by-step explanation:
There are three whole, and 2 last.
Answer:3.667
Well, you divide 11 and 3 and round it.
In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
10/13 ≈ 76.9%
Step-by-step explanation:
P(A∪B) = P(A) +P(B) -P(A∩B)
P(plays basketball ∪ plays baseball)
= P(plays basketball) +P(plays baseball) -P(plays both)
P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13
P(plays basketball or baseball) = 10/13 ≈ 76.9%
Answer:
The answer is 11 percent.
Will y’all help me on num 21 thank you
Answer:
its D
Step-by-step explanation:
Using the distributive property answer choice is C
2/5(6x-1)
=12x/5 - 2
A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation in two variables that represents the total cost of a taxi ride. Let m represent number of miles and c represent the total cost (in dollars) of the taxi ride.
Answer:
3 + 2.50m = c
Step-by-step explanation:
Since you don't know how many miles you are traveling in the taxi, you can use the variable m to represent miles. 3 is the original fee. So, 3 + 2.50m = c is your answer.
mr alvarez tells his students that next math test has 50 questions. he also says 20% will be word problems. the students want to know how may word problems will be in the test
20% is 0.20
If 20% of 50 questions are word problems,
Then 0.20 * 50 questions are word problems.
0.20 * 50 = 10
If Abby rolls two number cubes a hundred times, about how many times would she expect a product greater than 10.
Answer:
20 times ??
Step-by-step explanation:
Abby would expect to roll a product greater than 10 about 42 times in 100 rolls of two number cubes.
To determine how many times Abby would expect to roll a product greater than 10 when rolling two number cubes (dice) a hundred times, we can use probability.
Each number cube has six sides, numbered 1 through 6. When two dice are rolled, the possible products range from 1 (1*1) to 36 (6*6).
To find the probability of getting a product greater than 10, we can list out the combinations that result in products greater than 10:
(2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
That's a total of 15 combinations out of 36 possible combinations.
So, the probability of rolling a product greater than 10 is [tex]\( \frac{15}{36} \).[/tex]
To find out how many times Abby would expect this to happen in 100 rolls, we multiply the probability by the number of trials:
[tex]\[ \text{Expected occurrences} = \text{Probability} \times \text{Number of trials} \][/tex]
[tex]\[ \text{Expected occurrences} = \frac{15}{36} \times 100 \][/tex]
[tex]\[ \text{Expected occurrences} \approx \frac{5}{12} \times 100 \][/tex]
[tex]\[ \text{Expected occurrences} \approx 41.67 \][/tex]
So, Abby would expect to roll a product greater than 10 approximately 42 times in 100 rolls.
At a local school, 940 students each wrote 40 letters to students in another country. How many letters were written in all?
37000 letters were written in all. The reason for this is because to solve this you would do 940x40 which gets you to 37000.
Answer:
37,600
Step-by-step explanation:
You have to multiply 940 and 40 because your trying to figure out the total amount of letters that were written.
940 x 40 = 37,600
you can also check your work by dividing 37,600 by any of those numbers or multiplying just to make sure.
cot(x)=-3. find sin(x)
Answer:
sin(x)=1/[tex]\sqrt10[/tex]
Step-by-step explanation:
The trigonometric identities involve trigonometric functions. Here we will be using Trigonometric identity
sin²x = 1 /( 1+cot²x )
now cot(x)= -3
⇒ cot²x= (-3)²
⇒ cot²x= 9
sin²x= 1/( 1+9)
⇒ sin²x = 1/10
taking under root on both the sides we get
√sin²x=[tex]\sqrt1[/tex]/[tex]\sqrt10[/tex]
⇒ sin(x)=± 1/[tex]\sqrt10[/tex]
Cual es el volumen en metros cúbicos y en litros de 300 N de aceite de oliva cuyo peso especifico es de 9016 N/ m3
SPANISH
Como el peso específico del objeto es Y = 9016 N / m ^ 3, puede ver que será Y = 300 N / V m ^ 3
V (m ^ 3) = 300 N / (9016 N / m ^ 3)
V (m ^ 3) = 0, =. 033 m ^ 3
1 Litro es 0,001 m ^ 3
(.033 m ^ 3) * (1 L / 0,001 m ^ 3) = 35,937 L
ENGLISH
Since the specific weight of the object is Y = 9016 N/ m^3 you can see that it will be Y = 300 N / V m^3
V(m^3) = 300 N / (9016 N/m^3)
V(m^3) = 0,=.033 m^3
1 Litro es 0,001 m^3
(.033 m^3) * (1 L / 0,001 m^3) = 35,937 L
Espero que esto ayude, ahora sabes la respuesta y cómo hacerlo. ¡QUE TENGAS UN DÍA BENDITO Y MARAVILLOSO! :-)
- Cutiepatutie ☺❀❤
The specific weight is the weight of the per unit volume of a material. The volume of the olive oil is 34 L.
What is specific weight?The specific weight is the weight of the per unit volume of a material. It is given by the formula,
[tex]\rm Specific\ Weight, \gamma= Density \times g = \dfrac{Weight}{Volume}[/tex]
As the weight of the oil is given and the specific density is also given, therefore, we can find volume as,
[tex]\rm \gamma = \dfrac{Weight}{Volume}\\\\\rm 9016= \dfrac{300}{Volume}\\\\Volume = \dfrac{300}{9016}\\\\Volume = 0.0333\ m^3[/tex]
Now, we know that 1 m³ = 1000 litres, therefore,
[tex]\rm Volume = 0.034\ m^3\\\\Volume = (0.034 \times 1000)\ liters\\\\Volume = 34\ liters[/tex]
Hence, the volume of the olive oil is 34 L.
Learn more about Specific Weight:
https://brainly.com/question/13264782
What is the length of this? plz answer correctly
Answer:
16 cm
Step-by-step explanation:
EFP is a right angle triangle
EP² = ED² + DP²
EP² = 24² + 10²
EP² = 676
EP = 26
EF = EP - FP
EF = 26 - 10 = 16
(4) A bookshelf is 42 inches long. How many books of length 1 & 1/2 inches will fit
on the bookshelf? *
Answer:
Let’s use easier
nbers first.
if the bookshelf was 12 inches long, and the books were 6 inches wide, how many can you fit on the shelf? If you said 2, you are correct. You actually divided to find the answer. 6/12=2.
Use the same processs with your original question.
1 1/4 / 42 = 5/4 X 1/42 = 5/168 = 33.6
answer is 33
Three interior angles of a quadrilateral have measures of 111°, 134°, and 69º. Whats the fourth angle measure?
Answer:
Step-by-step explanation:
sum of for angles of a quadrilateral=360
111+134+69+x=360
314+x=360
x=360-314=46
fourth angle=46°
Factor the GCF: 12x2y + 6x2y3 – 9xy? (4 points)
3x^2y(4x2 + 2xy - 3)
3xy(4x + 2xy - 3y^2)
3xy(4x^2 + 2xy – 3y^2)
3x^2y(4x^3y – 2x^2y^2 - 3xy^3)
The greatest common factor (GCF) of the expression 12² + 6²³ − 9 is 3. So, factored form is c) 3xy (4x² + 2xy – 3y²).
To factor out the greatest common factor (GCF) from the expression
12² + 6²³ − 9, we need to identify the highest common factor among the terms.
First, let's list the factors of each term:
12² can be factored into 3 × 2 × 2 × × ×
6²³ can be factored into 3 × 2 × × × × ×
9 can be factored into 3 × 3 × ×
The highest common factor among these terms is 3.
Now, we divide each term by 3:
12² ÷ 3 = 4
6²³ ÷ 3 = 22
9 ÷ 3 = 3
So, the factored expression becomes 3 (4² + 2² −3). This is the result of factoring out the GCF 3 from the given expression.
Complete Question:
Factor the GCF: 12x2y + 6x2y3 – 9xy?
a) 3x²y (4x² + 2xy - 3)
b) 3xy (4x + 2xy - 3y²)
c) 3xy(4x² + 2xy – 3y²)
d) 3x²y(4x³y – 2x²y² - 3xy³)
WHAT WOULD THIS BE? I DONT UNDERSTAND IT
Answer:
The answer would be x=7.3 cm
Step-by-step explanation:
Since you are using the angle of 20 degrees and you have the measure of 10 cm for its adjacent side, solving for x would mean you would use tan.
20=x/10
10*20tan=x
200tan=x
7.279404......=x
But when you do 200 tan on the calculator, you have to make sure you press the equal sign after.
Find the slope of the line that passes through (-99, -25) and (-98, -62).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-37
Step-by-step explanation:
Slope = y2 - y1/x2 - x1
Given
x1 = -99
y1 = -25
x2 = -98
y2 = -62
Therefore
Slope = -62 -(-25) /-98 -(-99)
Negative negative becomes positive
= -62 + 25 /-98 + 99
= -37/1
= -37
What are the values of x in the equation shown
2|3x-4|=20
Answer:14/3
Step-by-step explanation:
2(3x-4)=20
Divide both sides by2
2(3x-4)/2=20/2
3x-4=10
Add 4 to both sides
3x-4+4=10+4
3x=14
Divide both sides by 3
3x/3=14/3
x=14/3
what is the reciprocal of -5/6
A.6/5
B.-6/5
c. 5/6
Answer:
B.
Step-by-step explanation:
Reciprocal is a term taken so that the answer we get becomes 1 of the given term
So
-5/6*-6/5
We get
1
the correct answer is B
You basically just have to switch the two numbers
Find the Mean from the line plot. Show your work and explain how you solved using First, Next, and Last.
Answer:
mean is 5
Step-by-step explanation:
MEANmean is regarded as the average number of items
mean formula:(sum of terms) / (number of terms)
Firstlythe numbers in the data set are :
3,3,3,4,6,6,7,8
they are already arranged in order, so no need to rearrange.
Nextadd the numbers together to find the total :
3 +3 +3 +4 +6+ 6+7 +8
= 40
ALSO,
find how many number of terms they are --- this is 8
Last
use the mean formula to solve :
(sum of terms) / (number of terms)
= 40/8
= 5
the mean is the 5Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?
Answer: 14gallons
Step-by-step explanation:
12gallons/144miles = 1gallon/12miles
Therefore 6gallons = 12*6 = 72miles.
In order to cover 240miles, she will need 240/12 = 20gallons.
20-6 = 14gallons
She will need 14gallons of gas more.