Answer:
The coordinates of the division point are (7, 3)
Step-by-step explanation:
The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ([tex]\frac{m1x2+m2x1}{m1+m2}[/tex] , [tex]\frac{m1y2+m2y1}{m1+m2}[/tex] ).
∵ The line segment joining the points (4, -3) and (8, 5)
∴ x1 = 4 and x2 = 8
∴ y1 = -3 and y2 = 5
∵ The point divides the segment at ratio 3: 1
∴ m1 = 3 and m2 = 1
→ By using the rule above
∵ x = [tex]\frac{(3)(8)+(1)(4)}{3+1}[/tex] = [tex]\frac{24+4}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
∵ y = [tex]\frac{(3)(5)+(1)(-3)}{3+1}[/tex] = [tex]\frac{15-3}{4}[/tex] = [tex]\frac{12}{4}[/tex]
∴ y = 3
∴ The coordinates of the division point are (7, 3)
Slide 4
Pamela went to Walmart to look for a new
PlayStation. She found one she wanted for $350.00.
She found a sale for 25% off. How much did Pamela
save with the coupon?
Answer:
87.5$ since 25% is 1/4 87.5 is 1/4
Step-by-step explanation:
PLSSS HELPP, I WILL MARK BRAINLIEST IF YOU ANSWER BEFORE 5
A concert had 6,000 audience members in attendance on the first night and the same on the second night. On the first night, the concert exceeded expected attendance by 20%, while the second night was below the expected attendance by 20%. What was the difference in percent of concert attendees and expected attendees for both nights combined?
Answer:
4%
Step-by-step explanation:
I added a screenshot of work, hopefully this helps you!
The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Number of audience attendants on the first and second night = 6,000
Let's say the excepted number of the audience on the first night was x then,
20% higher than x ⇒
1.2x = 6000
x = 5000
Error = 6000 - 5000 = 1000
Let's say the excepted number of the audience on the second night was x then,
20% lower than x ⇒
0.8x = 6000
x = 7500
Error = 7500 - 6000 = 1500
Combined expectation = 5000 + 7500 = 12500
Percentage = (1500 - 1000)/12500
Percentage = 0.04 → 4%
Hence "The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
Tula’s guitar practices
Answer:
i hope tula does some cool shredding bro but until then add an attachment
Step-by-step explanation:
Tyler has a baseball bat that weighs 44 ounces Find it’s weight in kilograms
Answer:
1.25 (2 decimal places)
Step-by-step explanation:
Divide the ounces by 35.274
Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
PLEASE HELP
Answer:
Solution graph is attached in the answer area.
And one possible solution is (9, 2).
9 number of dimes and 2 number of nickels.
Step-by-step explanation:
Given that:
Number of dimes = [tex]a[/tex]
Number of nickels = [tex]y[/tex]
Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.
i.e. the inequality can be written as:
[tex]a+y \leq 12[/tex] ...... (1)
One dime is worth 10 cents or $0.10.
[tex]a[/tex] number of dimes are worth $0.10[tex]a[/tex].
One nickel is worth 5 cents or $0.05.
[tex]y[/tex] number of nickels are worth $0.05[tex]y[/tex].
Second inequality can be written as:
[tex]0.10a + 0.05 \ge 0.85[/tex]
OR
[tex]2a+y\ge17[/tex] ...... (2)
[tex]a \ge 0, y \ge 0[/tex] ...... (3)
When we graphically represent the inequalities, the graph attached in the answer area represents the answer.
One solution is (9, 2).
9 number of dimes and 2 number of nickels.
The sum of 3 fifteens and 17 fifteens
Answer: I believe it’s 300
Step-by-step explanation:
Nichole gets paid $13 and hour washing cars.
A) create an equation that models nicholes pay where x is the number of hours and y is the pay.
B) What is the slope? what is the intercept of the equation?
Answer:
A) y = 13x
B) Slope is 13, intercept is 0
Step-by-step explanation:
Answer:
y = 13x
The slope is 13
The y intercept is 0
Step-by-step explanation:
Since he gets $13 per hour, his pay can be represented by 13x, as x is the number of hours.
To create the equation, set this equal to y, as it represents his total pay.
So, the equation is y = 13x.
Using the equation y = mx + b, we can find the slope (m) and the y intercept (b)
Since this equation has 13 as the coefficient, the slope is 13. There is also no b value since nothing is being added to 13x, so the y intercept is 0.
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each is $720. The first is marked down by 50%. The second is marked down by 30% with an additional 20% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price. The sale price of the first washing machine is $ (Round to the nearest dollar as needed.)
Answer:
store one
Step-by-step explanation:
Store One:
$720(0.50)=$360
$720-$360=$360
Store Two:
$720(0.30)=$216
$720-$216=$504
$504(0.20)=$100.8
$504-$100.8=$403.2
Brainliest! Please help me with this
Answer:
I think it is D
Step-by-step explanation:
Answer:
i actually think its c or b
what was the scale factor? Show how you found your answer.
A(0,0) A’ (1.4)
B (4,0) B’ (9.4)
C (0.3) C’ (1.10)
PLEASE HELP
Answer:
2
Step-by-step explanation:
The scale factor is two since it's 2 times bigger than the actual figure.
Proof:
A to B = 4 units
A' to B' = 8 units
A to C = 3 units
A' to C' = 6 units
See how it keeps multiplying by 2.
4 x 2 = 8
3 x 2 = 6.
Ace Carlos
Help on this if you can please
Answer:
48'11'' or 587''
Step-by-step explanation:
First convert to inches
5ft= 12 times 5 = 60 then plus 6=66in.= Jen's height
The ratio of the Jen height to Jen's shadow heightis 5'6'' : 9' which is equal to 66in.:108in.
To find the ratio we do 108/66 = 1.636...
Then we do 80' which is equal to 960"
Lastly we do 960/1.636... to get 586.797in for the height of the tree
48'11'' or 587''
I need to drag the AB,BC,CA or the numbers to the right place pls help
Answer:
I think option 3 hope it helps
Step-by-step explanation:
Joshua is making spaghetti and meatballs for dinner for his friends. Joshua makes 30 meatballs. If Joshua wants 5 meatballs on each plate of spaghetti, how many plates can Joshua make? Write an equation to represent the scenario, and solve.
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
Let y represent the number of meatballs in total and x represents the number of plates.
[tex]y = 30[/tex]
[tex]Rate = 5[/tex] per plate
Required
Determine the value of x
To solve for x, we make use of the following expression.
[tex]y = Rate * x[/tex]
Substitute values for y and Rate
[tex]30 = 5 * x[/tex]
[tex]30 = 5 x[/tex]
Divide through by 5
[tex]30/5 = 5 x/5[/tex]
[tex]6 = x[/tex]
[tex]x = 6[/tex]
Hence, number of plates is 6
Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate chips will she use in each batch of cookies?
Answer:
1 1/3 bags of chocolate chips
Step-by-step explanation:
If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;
2 1/4 bags of cookies = 3 batches of chips
To determine how much of the chocolate chips will she use in each batch of cookies, we can say;
1 bag of cookies = x batches of chips
Equating both expressions
2 1/4 bags of cookies = 3 batches of chips
1 bag of cookies = x batches of chips
Cross multiply
2 1/4 x = 3
9/4 x = 3
9x/4 = 3
9x = 12
x = 12/9
x = 4/3
x = 1 1/3
Hence Alana will need 1 1/3 bags of chocolate chips
Alejandro bought a new refrigerator for $856 with a 25% discount and
6.3%tax. How much did Alejandro pay for the new refrigerator? PLSS HELP! 30 POINTS
Answer:
$695.94
Step-by-step explanation:
25% of 856 = 214
6.3% of 856 = 53.928
856 + 53.928 = 909.928
909.928 - 214 = 695.928 about 695.94
Answer:
695.93
Step-by-step explanation:
75% of 856 is 642
642 + 53.93 = 695.93
6.3 = 53.93
It's
7:42 AM
Wednesday, December 9, 2020 for me.
What time & day is it for you?
:D
Grapes cost $2.39 per pound. Bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b pounds of bananas.
Answer:
2.39g + 0.59b = 15
Step-by-step explanation:
Algebraic Expressions
Let:
g = pounds of grapes
b = pounds of bananas
Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.
Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.
The total cost of fruits is:
C = 2.39g + 0.59b
And this cost is equal to $15:
2.39g + 0.59b = 15
This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink?
Answer:
$3.8
Step-by-step explanation:
What is the cost of a medium drink?
Let medium drinks = x
Large popcorn = y
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.
2x + y = 13.85...Equation 1
y = 13.85 - 2x
At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.
3x + 2y = 23.90.... Equation 2
Substitute y = 13.85 - 2x
3x + 2(13.85 -2x) = 23.90
3x + 27.7 - 4x = 23.90
3x - 4x = 23.90 - 27.7
-x = -3.8
x = $3.8
Since x = medium drink, the cost of a medium drink = $3.8
Find the solution to the systems of equations using the elimination method. 3x + 5y = 2 5x + 8y = 4
And then solve for y or x by using the elimination method
Answer:
[tex]\boxed{x = 4~~and~~y = -2}[/tex]
Step-by-step explanation:
3x + 5y = 2 (times 5) 15x + 25y = 10
5x + 8y = 4 (times 3) 15x + 24y = 12
.
15x + 25y = 10
15x + 24y = 12
y = -2
.
Substitute the value of y to one of equations
3x + 5y = 2
3x + 5(-2) = 2
3x - 10 = 2
3x = 2 + 10
3x = 12
[tex]x = \frac{12}{3}[/tex]
x = 4
which is not true about the solution to the equation? x+2.27=1.53
Answer:
x = - 0.74
Step-by-step explanation:
Which point on the graph represents they-intercept
Answer: W is the correct answer just for clarification.
Step-by-step explanation:
1 quart of milk (32 oz) for $1.28. Whts the answer?
Answer:
$0.04/oz
Step-by-step explanation:
If the question is the unit price per ounce, then is it
$1.28 / 32 oz = $0.04/oz
How do I find out what f(x) is if the graph defines h(x)
Answer:
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Step-by-step explanation:
h(x) is defined by the formula,
h(x) = -4f(x) + 7
If the graph attached is of the function 'h' and we have to find the function 'f',
h(x) - 7 = -4f(x)
4.f(x) = -h(x) + 7
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Therefore, function 'f' will be defined by,
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Slope of a line with one point at (2,1) and another at (5,3)
Answer:
Step by step in image below. Hope this helps
Step-by-step explanation:
Simplify 5/v10 plz help
Answer:
D
Step-by-step explanation:
You have to multiply the numerator and denominator and conjugate
Answer:
Choice 3: [tex]\sqrt{2}[/tex]
Step-by-step explanation:
The first thing is that you have to break the √10. The only way you can break it is to make it into a 5 and a √2. So now it should look like this [tex]\frac{5}{5\sqrt{2}}[/tex]. Then we will divide the 5 by 5 and that'll become 1, so we are left with a [tex]\sqrt{2}[/tex] and that's it.
Mrs. Johnson borrows $1400 with an interest rate of 5.5%. How much interest does she pay if she pays off the debt in 8 months?
Answer:
$616 in debt
Step-by-step explanation:
5.5% is equal to 0.055 so you multiply that by $1400 to get $77.
$77 is the interest rate.
You then multiply $77 by 8 months.
ahh help A, B, and C please
Answer:
a= -11
b= -1/5
c= 3 1/8
Step-by-step explanation:
a- a negative plus a negative always equal a negative
Answer:
a. -11
b. -1/5
c. -25/8
Step-by-step explanation:
a. -5 - 6
= -11
b. 2/5 - 3/5
= 1/5
c. -4(1/4) - ( 1(1/8))
= -17/4 - 9/8
= -34/8 - 9/8
= -25/8
You open a new bank account. The table shows the activity of your account for the first month. Positive numbers represent deposits and negative numbers represent withdrawals. What is your balance (in dollars) in the account at the end of the first month?
Answer:
$109.96
Step-by-step explanation:
Using the data from the table we need to add all of the transaction amounts together in order to calculate the final balance amount at the end of the first month since all of the transactions listed in the table are from the same month. (negative values cancel out the addition and instead subtract from the total)
100 + (-12.25) + 25.82 + 14.95 + (-18.56) = 109.96
Assuming that the initial account balance at the beginning of the month was $0 then the account balance at the end of the month would be $109.96
Solve the system by the method of your choice. Write your answer as a coordinate point (x, y). -6 + 5y =-27 -3 + 3y = -15
PLZ ANSWER IF YOU KNOW I NEED HELP
Answer:
j = 6
Step-by-step explanation:
1. What one needs to know
-Slope-intercept form
The formula of a line in slope-intercept form is;
y = mx + b
Where "m" is the slope. and "b" is the y-intercept.
2. Approach
The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.
3. Finding "b"
It is given that this line has a slope of [tex]\frac{1}{5}[/tex], therefore, the equation of the line with the slope would look something like this;
y = [tex]\frac{1}{5}[/tex]x + b
It is given that (-4, -8) is on the line, substitute this point in;
-8 = [tex]\frac{1}{5}[/tex](-4) + b
Solve;
-8 = [tex]\frac{1}{5}[/tex](-4) + b
-8 = - 0.8 + b
-7.2 = b
The complete formula of this line is;
y = 0.2(x) - 7.2
( in decimals )
4. Solve of "j"
Point (j, -6) is on this line, substitute it into the formula
y = 0.2(x) - 7.2
-6 = 0.2(j) - 7.2
Inverse operations;
-6 = 0.2(j) - 7.2
+7.2 +7.2
1.2 = 0.2(j)
/0.2 /0.2
6 = j