Answer:
[tex]p =2.5[/tex]
[tex]q = 0.5[/tex]
Step-by-step explanation:
Given
[tex]2x + 3y = 7[/tex]
[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
Required
Find p and q
To do this, we make direct comparison between the given expressions.
[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
This implies that:
[tex](p - q)x = 2x[/tex]
[tex](p+q)y = 3y[/tex]
[tex]3(p + q) - 2 = 7[/tex]
So, we have:
[tex]p - q = 2[/tex] --- (1)
[tex]p+q =3[/tex] -- (2)
[tex]3(p + q) - 2 = 7[/tex] --- (3)
If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.
So, we only solve [tex](1)\ and\ (2)[/tex]
Add (1) and (2) to eliminate q
[tex]p+p-q+q=2+3[/tex]
[tex]2p=5[/tex]
Solve for p
[tex]p = 5/2[/tex]
[tex]p =2.5[/tex]
Substitute [tex]p =2.5[/tex] in (2)
[tex]p+q =3[/tex]
[tex]q = 3 - p[/tex]
[tex]q = 3 - 2.5[/tex]
[tex]q = 0.5[/tex]
Jocelyn and Kari's math quiz scores are shown.
Jocelyn: 86, 87, 95, 72, 78, 8 80
Kari: 88, 78, 93, 81, 75, 92
Based on the samples , which student generally has higher quiz scores?
A. Jocelyn , because she had a maximum score of 95.
B. Jocelyn , because the interquartile range of her scores is 9.
C. Kari , because the range of her scores is 18.
D. Kari because the mean and median of her scores is 84
Answer:
A
Step-by-step explanation:
no duh also her scores ARE overall higher
A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
7.22 feet
Step-by-step explanation:
From the question,
s = d/t................. Equation 1
Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance
make d the subject of the equation,
d = s×t.................... Equation 2
Given: s = 2.6×10000 feet per seconds, t = 1 hour = 3.6×1000 seconds.
Substitute these values into equation 2
d = (2.6×10000)/(3.6×1000)
d = 26000/3600
d = 7.22 feet.
Hence the shuttle travels 7.22 feet in an hour
Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square
feet will Kim paint?
Answer:
a
Step-by-step explanation:
The area of that should be painted by Kim is 55.75 ft².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a container which is in shape of rectangular prism,
We need to find the area that should be painted,
So, to find the same we will find the surface area of the prism,
SA = 2(lh + hw + wl)
l = length, w = width and h = height,
SA = 2(2.50·4 + 2.75·2.50 + 2.75·4)
= 2(10 + 6.875 + 11)
= 2 × 27.875
= 55.75
Hence the area of that should be painted by Kim is 55.75 ft²
Learn more about surface area click;
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Nathan was 60 inches tall last year. Since then, his height has increased by 2 inches. Which phrase gives a clue that addition is needed to find Nathan's current height? A since then B increased by C was 60 inches D by 2 inches
Evaluate the following expression.
6 x [(16 + 29) / 9 -3]
Answer:
45
Step-by-step explanation:
6 × [45 / 9-3]
6×45/6
270/6
45
Answer:
45
Step-by-step explanation:
6 x (16 + 29) / 9 - 3)
16 + 29 = 45
9 - 3 = 6
45/6 = 7.5
6 x 7.5 = 45
Let me know if this helps!
Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts
Side note: Please don’t waste my time I have stuff to do
Answer:
Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.
The federal government won't require everyone to get vaccinated.
The federal government also won't required everyone in america to carry a passport.
New York recently because the first state to have a cov id passport.
Florida banned the co vid passport.
Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!
Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.
Heinz makes more ketchup than anyone
12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.
astronauts had a lot of ketchup in space
1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.
Step-by-step explanation:
Hope this helps! Plz mark as brainliest!
Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1
Answer:
Sabrinas work
Step-by-step explanation:
5+c+c+c-4
5+3c-4
=3c+1
What is the length of bc in the right triangle below?
Answer:
A) 75
Step-by-step explanation:
BC = c
a² + b² = c²
21² + 72² = c²
441 + 5184 = c²
c² = 5625
[tex]\sqrt{c^2} =\sqrt{5625}[/tex]
c = 75
what is the solution to the problem
x + 8.63 = 11.001
Answer:
x=2.371
Step-by-step explanation:
Subtract 8.63 from both sides
x+8.63-8.63=11.001-8.63
x=11.001-8.63
x=2.371
Find the missing side of the triangle:
8cm, 7cm, _____
A. 20cm
B. 15cm
C. 12cm,
D. 25cm
Answer:
C. 12cm
Step-by-step explanation:
Sum of any two sides of a triangle must always be greater than the third side.
here 8 + 7 = 15 > 12
Hence, option C is the correct answer.
He temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week? A. mean B. median
Answer: Median
Step-by-step explanation: The median is the middle number.
(also i'll give the definitions of mean, mode, and range in case you need it)
Mean - average
Mode - the value that appears the most
Range - The largest value subtracted by the smallest value
Answer:
Median is the answer
Step-by-step explanation: 100%
Which of the following angles is not coterminal with the other three?
a.–197º
b.17º
c.523º
d.163º
9514 1404 393
Answer:
b. 17°
Step-by-step explanation:
All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.
17° is the odd angle
__
When you compute ...
mod(angle, 360), you get 163, 17, 163, 163.
GAHHHHHHHHH HELP WITH THIS
plz help asap
click it to make it big
Answer:
d no association
Step-by-step explanation:
Ellen needs new socks. Her mother can buy a package of 6 pairs of socks for $3.25 or a package of 9 pairs for $4.75. Which is the better buy?
Answer:
9 pairs for $4.75
Step-by-step explanation:
Given data
6 pairs of socks for $3.25
unit cost
=3.25/6
=$0.54 per pair
9 pairs for $4.75
unit cost
=4.75/9
=$0.53 per pair
Option B is the better buy
x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
Which two ordered pairs would be on the graph for the coordinates listed in the table?
Answer:
(10,54) and (11,59)
Step-by-step explanation:
those ordered pairs are the closest to one another.
Chen and Dave divide £350 in the ratio 3:4
ed
Work out how much money Dave gets
Answer:
£200
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of the ratio , then
4 parts = 4 × £50 = £200 ← amount Dave gets
2.) You invested $4,400 for 2 years at 7.3% compounded annually. What is your total after 2
years?
Please help and no links please
Answer:
sorry i can't clear
hey man. do me a favor and solve . thanx man
Answer:
16964.6
Step-by-step explanation:
V=3.14×r2×h r is half remember!
What is the largest perfect square factor of 84
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
To know more visit:
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Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?
Answer:
Hi! The answer is [tex]1.5[/tex]
Step-by-step explanation:
[tex]Kelly + Matt + Bo = 3[/tex]
[tex]3, People / 2, Pizzas[/tex]
[tex]3/2 = 1.5[/tex]
[tex]1.5, Pizzas[/tex]
☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What is the solution to the equation below? Round your answer to two decimal places.
log3 (2x-5)= 2
Answer: x=7
Step-by-step explanation:
Answer:
X=7 is correct via a p e x
Carla faz sua salada de frutas para vender .Hoje ela comprou 3kg de laranja 2,5 kg de banana e 2,5kg de maçã e 1,8kg de mamão No total ,quantos quilogramas de fruta Carla comprou hoje ?
Answer:
9,8 kg
Step-by-step explanation:
3 kg + 2,5 kg + 2,5 kg + 1,8 kg = 9,8 kg
Answer: 9,8 kg
What is the equation of the circle shown?
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?
a) short leg = 5; long leg = 5 √2
b) short and long leg = 5 √2
c) short leg = 5; long leg = 5 √3
d) short leg = 5; long leg =8
Answer:
option c
Step-by-step explanation:
The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.
⇒ sin 30 = p/h
⇒ 1/2 = p/10
⇒ p = 10/2
⇒ p = 5
Using Cosine now ,
⇒ cos 30° = b/h
⇒ √3/2 = b/10
⇒ b = √3/2 × 10
⇒ b = 5√3
Short leg = 5Long leg = 5√3 Hence option C is correct.Answer:
c) short leg = 5; long leg = 5 √3
Step-by-step explanation:
How long are the other sides?
short leg = 5; long leg = 5 √3
Hailey invested $95,000 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded continuously. Brooklyn invested $95,000 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded monthly. After 10 years, how much more money would Hailey have in her account than Brooklyn, to the nearest dollar?
Answer:12220
Step-by-step explanation:
help!! please if you can
Answer:
Answer 3
Step-by-step explanation:
Hits the 80 mark, meaning it would be divisible by 6, and starts at positive 20.
Hope this helps
HELPPPPP PLSSSS. I’m in need of help ;-;
Answer:
B is the correct answer
Step-by-step explanation:
Simple algebra.
Find the area by multiplying the sides and divide by 2 since, the question asks for half a sail.