Step by step explanation :
The two points are ,
P( -3 , -5)Q (1 , -3)We can find the midpoint by finding the median of x coordinate and y coordinate .
[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]
Students in a school are asked to pick either football, rugby or tennis to play in their lesson.
The number of students who picked football and rugby are in the ratio of 5:4
The number of students who picked rugby and tennis are in the ratio of 12:25
125 students picked tennis.Work out how many students picked football.
Step-by-step explanation:
let x be rubgy liked let y football liked
x/125=12/25
ansx=60
again
y/60=5/4
ans y=75
football liked students are 75
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
Hope it helps :)
Answer:
Step-by-step explanation:
Width = w
Length = 2w + 8
Area of rectangular garden = 280 square meter
length * width = 280
(2w + 8 ) *w = 280
2w * w + 8*w = 280
2w² + 8w = 280
2w² + 8w - 280 = 0
Divide the whole equation by 2
w² + 4w - 140 = 0
w² + 14w - 10w - 14 *10 = 0
w(w + 14) - 10(w + 14) = 0
(w + 14)(w - 10)= 0
w - 10 = 0 {Ignore w + 14, as measurements will not be -ve}
w = 10 m
l = 2*10 +8
= 20 +8
l = 28 m
Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts of 3% butterfat milk.
The mixture should contain quarts of the 5% butterfat milk.
Answer:
It would take 4 quarts of 5% buttermilk and 41 quarts of 2% buttermilk to make 45 quarts of 3% buttermilk.
Step-by-step explanation:
Let the number of 5% quarts = x
Let the number of 2% quarts = y
x+y=45
y=45-x
(.05)x+(.02)y=(0.03)45
5x+2y=102
5x+2(45-x)=102
5x+90-2x=102
3x=12
x=4
y=45-x=45-4=41
So it would take 4 quarts of 5% buttermilk and 41 quarts of 2% buttermilk to make 45 quarts of 3% buttermilk.
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what is the answer in miles ??
PLEASE HELP ME !!!!
Answer:
450 miles
Step-by-step explanation:
First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.
From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.
Step-by-step explanation:
[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]
Graph y = 2.3 - 7.
y
→
AU
8+
7+
6+
5
CO
3+
2+
1+
MY
-9-8-7 -6 -5 4 -3 -2
1 2 3 4 5 6 7 8 9
Cou
-3
SA
-5-
-6-
-7-
-8
MY
Pra
Answer:
4b+7h+935*213
Step-by-step explanation:
A construction worker earned $64 in a week. If he worked eight hours in one week, how much money did he earn per hour?
Answer:
X=8
Step-by-step explanation:
64 Divided by Eight equals Eight.
Because he worked eight hours that week and earned $64 so divide that up by eight then you got your answer.
Need help asap 10 points, provide explanation please.
Answer:
Step-by-step explanation:
Use the distance formula between points to find all sides:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
AB=[tex]\sqrt{13}[/tex]
BC=[tex]\sqrt{13}[/tex]
CA=[tex]\sqrt{26}[/tex]
This is a 45° 45° 90° triangle, where two of the sides are equal and the other side is the first two sides times [tex]\sqrt{2}[/tex], so yes, it is a right triangle.
Answer:
Answer D is correct.
Step-by-step explanation:
By inspection, the side lengths are {3, 4, 5}, and this triplet satisfies the Pythagorean Theorem: 3^2 + 4^2 = 5^2. Thus this IS a right triangle.
One could also find the lengths of the three sides using the distance formula and the endpoints of each line segment forming the triangle.
Answer D is correct.
pleaseeeeeeee helppppppp
Answer:
138°
Step-by-step explanation:
69X2=138
A contractor is required by a county planning department to submit 1, 2, 3, 4, or 5 forms (depending on the nature of the project) when applying for a building permit. Let y denote the number of forms required for an application, and suppose the mass function is given by p(y) 5 cy for y 5 1, 2, 3, 4, or 5. Determine the value of c, as well as the long-run proportion of applications that require at most three forms and the long-run proportion that require between two and four forms, inclusive.
Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.
(a) Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10 __ 60 __
Tip ($) __ 12 __ 15
(b) Using the table, how can you find the total tip paid on $70?
Answer:
Subtotal 70.00
15% Tip 10.50
Total 80.50
Step-by-step explanation:
1% 0.70
2% 1.40
3% 2.10
4% 2.80
5% 3.50
6% 4.20
7% 4.90
8% 5.60
% Tip
9% 6.30
10% 7.00
11% 7.70
12% 8.40
13% 9.10
This dude above is trash and wrong, I got a 0 because of him
Just need the answer
Answer:
It seems no one can eat just one potato ship
Step-by-step explanation:
can anyone help me please
Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?
Answer:
she paid 420 dollars for it
Step-by-step explanation:
30 percent of 600 is 180
BRAINLIEST AND ACED+ PLEASE HELP ME :c
Answer:
1 1/2 x 4 1/2 x 5 = 33 3/4
5+5(6*7)Easy points cause I love y’all pur
Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents
possible answers:
a.)Z^81
b.) 0
c.) 1/Z^12
d.) 1/Z^40
Pls help! And I will mark you as brainlist im not joking!
Answer:
[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]
Simplify the expression and write your answer as a power
10
Answer:
10^88
Step-by-step explanation:
You have to multiply the exponents since they are in parenthesis.
Good Luck!
Answer:
The answer is C. 10^88
Step-by-step explanation
Whenever you have an exponent written like this, you must multiply the 8 and 11. Which will give you 10^88. I hope this has helped you! :3 Sorry if it is incorrect.
Please help it needs me to find the volume but what is the height supposed to be?
Answer:
a=3
b=16.6
Step-by-step explanation:
Multiply the polynomials (y −5)(2y+ 3)
Answer:
(-3 + -2y)(5 + -1y) = 0
Step-by-step explanation:
Simplifying
(y + -5)(2y + 3) = 0
Reorder the terms:
(-5 + y)(2y + 3) = 0
Reorder the terms:
(-5 + y)(3 + 2y) = 0
Multiply (-5 + y) * (3 + 2y)
(-5(3 + 2y) + y(3 + 2y)) = 0
((3 * -5 + 2y * -5) + y(3 + 2y)) = 0
((-15 + -10y) + y(3 + 2y)) = 0
(-15 + -10y + (3 * y + 2y * y)) = 0
(-15 + -10y + (3y + 2y2)) = 0
Combine like terms: -10y + 3y = -7y
(-15 + -7y + 2y2) = 0
Solving
-15 + -7y + 2y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(-3 + -2y)(5 + -1y) = 0
A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52
Answer:
260
Step-by-step explanation:
you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer pizza = 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy pizza is 260.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ2
⚠️URGENT PLS HELP
LINKS WILL BE REPORTED
Answer:
e and c
Step-by-step explanation:
Find the area of the triangle
Answer:
[tex] \frac{4 \times 5}{2} = 10[/tex]
Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.
Answer:
18%
step by step explanation:
36/200 × 100=18
Answer:
3/10
Step-by-step explanation:
the answer is 3/10 hope this helps may i be marked brainliest?
What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
Por favor ayúdenme??
A
B
C
D
Answer:
ITS B!!! AY
Step-by-step explanation:
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answer:
$9.75h=e-$263.25
Step-by-step explanation:
Malia and her sister walk at a constant rate of 4 miles per hour. At this constant rate, how long should it take Malia and her sister to walk 3 miles?
A. 0.75
B. 1.25
C. 1.5
D. 12
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answer:
Yes it is true
Step-by-step explanation:
cause 11 + 8 = 19
now give me the brainliest lol