The number of cats and dogs will be 200 and 300, respectively.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A certain pet store sells only dogs and cats. In March, the store sold twice as many dogs as cats. In April, the store sold twice the number of dogs that it sold in March and three times the number of cats that it sold in March.
Let the number of cats sold in march be x and the number of dogs sold in march be y. Then the equations will be
y = 2x
Then the number of cats sold in April will be 3x and the number of dogs sold in April will be 2y.
If the total number of pets the store sold in March and April combined was 500. Then we have
x + y + 3x + 2y = 500
x + 2x + 3x + 4x = 500
10x = 500
x = 50
Then the value of y will be
y = 2 (50)
y = 100
Then the number of cats sold will be
⇒ 50 + 3 × 50
⇒ 50 + 150
⇒ 200 cats
Then the number of dogs will be
⇒ 100 + 2 × 100
⇒ 100 + 200
⇒ 300
Thus, the number of cats and dogs will be 200 and 300, respectively.
More about the solution of the equation link is given below.
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24 shared between 6 students equals how many each
Answer:
4
Step-by-step explanation:
24/6=4
plz answer my question:-
if U= {0,1,2,3,4..................20}, A= {1,3,5,7,9,11,13,15,17,19} B= {0,2,4,6,8,10,12,14,16,18} then prove that A-B = A∩B
Answer:
Step-by-step explanation:
A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}
B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }
A - B means everything in A and not in B
A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }
A ∩ B means elements common in A and B
A ∩ B = ∅
A - B ≠ A ∩ B
Solve the following question. *
Answer:
The mean of x and y is equal to t.
Step-by-step explanation:
Given that,
The mean of t and t+2 is x.
The mean of t and t-2 is y.
i.e.
[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]
and
[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]
The mean of x and y is :
[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]
Hence, the mean of x and y is equal to t.
can someone help me here
Answer:
1.
Step-by-step explanation:
1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)
2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)
3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)
4. tan (x), x do not equal to (π/2 +or- kπ)
x do not equal to 90,270。
Help please I need this done
Step-by-step explanation:
the answer is in the above image
Answer:
61°
Step-by-step explanation:
(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD
x°+18°=4x°-15°
18°+15°=4x°-x°
33°=3x°
33°/3°=3x°/3°
11=x
angle ABD
90°-(x+18)°. the sides of a rectangle meet at 90°
90°-(11+18)°
90°-(29)°
90°-29°
61°
Last month, Claire's bank statement said that she overdrew her account. Her bank balance was -45.32−45.32minus, 45, point, 32 euros.
The question is incomplete and the full version can be found online.
Answer: Janeth has 17.92 dollars in her account.
Step-by-step explanation:
The question states that, after having been told that she overdrew her account the previous month, Claire´s new bank balance is 17.92 dollars. Having said that, the question is what does that new amount means, and the options given are that she overdrew her account by 17.92 dollars, or that she has 17.92 dollars in her account.
The answer couldn´t be that Claire overdrew her account again, by 17.92 dollars this time, because if that was the case, her new balance would be the addition of the previous -45.32 dollars plus the new -17.92 dollars:
-45.32-17.92=-63.24
This means that the new amount would be -63.24. Since the number is positive, it represents the money she has in the account: 17.92 dollars
Answer; la risposta è b!
the anwser is b!
Step-by-step explanation:
Unit 1 Review
tatus
view
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
Answer:
403
Step-by-step explanation:
divide 2.75 and 1,1109 and you will get your answer
Please solve all with explanation
Answer:
Step-by-step explanation:
4.coordinate points are:
(-2,3)=(x1 , y1)
(1,y)=(x2 , y2)
slope =y2-y1/x2-x1
2=y-3/1-(-2)
2=y-3/1+2
2=y-3/3
do cross multiplication
2*3=y-3
6+3=y
9=y
3 no.
3(1-x)=-2(x-1)
3-3x=-2x+2
3-2=-2x+3x
1=x
4+y/3=2
4+y=3*2
4+y=6
y=6-4
y=2
Simplify the expression ( a^3/2)^3
Answer:
(a^9/8)
Step-by-step explanation:
(a/b)^n = (a^n/b^n)
"Hot Pizza" is offering a 20% discount on all its pizzas.
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer:
£6.72
Step-by-step explanation:
10% of 5.60=0.56
0.56×2=1.12
5.60+1.12=£6.72
A trapezoid has 39.2 yards base and 10.8 yards base, as well as 38.5 yards height. What is the area?
Answer:
962.5 yd²
Step-by-step explanation:
The formula for a trapezoid is:
(a + b) ÷ 2 x h
Where a & b are the two side lengths and h is height.
Use the formula with the given measurements:
(39.2 + 10.8) ÷ 2 x 38.5 = 962.5
Area is measured in square yards, in this case.
FINAL ANSWER:
The area of the trapezoid is 962.5 yd²
Hope this helps!
-SpaceMarsh
Which of the following has the largest y-intercept?
Answer:
I would say 2 because if you go by absolute value it is the largest.
please help with this. it’s for my final grade
the answer is -1. hope this helps :)
Drag the tiles to the correct boxes to complete the pair.
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).
f(x) = x2 - 9, and g(x) = x - 3
f(x) = x2 - 4x + 3, and g(x)= x - 3
f(x) = x2 + 4x - 5, and g(x) = x - 1
f(x) = x2 - 16, and g(x) = x - 4
1.h(x) = x + 5—>
2.h(x) = x + 3—>
3.h(x) = x+4—>
4.h(x) = x-1—>
Answer:
1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1
2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3
3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4
4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3
Step-by-step explanation:
A) f(x) = x² - 9, and g(x) = x - 3
We are told that; h(x) = f(x)/g(x)
f(x) = x² - 9 can be factorized to;
f(x) = (x + 3)(x - 3)
Thus; h(x) = (x + 3)(x - 3)/(x - 3)
(x - 3) will cancel out to give;
h(x) = x + 3
B) f(x) = x² - 4x + 3, and g(x)= x - 3
x² - 4x + 3 can be factorized as;
(x - 1)(x - 3)
Thus; f(x) = (x - 1)(x - 3)
h(x) = (x - 1)(x - 3)/(x - 3)
h(x) = x - 1
C) f(x) = x² + 4x - 5, and g(x) = x - 1
x² + 4x - 5 can be factorized as;
(x - 1)(x + 5)
Thus; f(x) = (x - 1)(x + 5)
h(x) = (x - 1)(x + 5)/(x - 1)
h(x) = x + 5
D) f(x) = x² - 16, and g(x) = x - 4
x² - 16 can be expressed as;
(x + 4)(x - 4)
Thus; f(x) = (x + 4)(x - 4)
h(x) = (x + 4)(x - 4)/(x - 4)
h(x) = x + 4
Solve for x in the equation
Answer:
x = -1 ± √17
Step-by-step explanation:
x² + 2x + 1 = 17
Subtract 1 form both sides
x² + 2x = 16
complete the square using half the x coefficent, 1) as the complete the square term
(x + 1)² = 16 + 1²
(x + 1)² = 17
Take the square root of both sides
x + 1 = ±√17
Subtract 1 from bot sides
x = -1 ± √17
Answer:
correct one is second option
Step-by-step explanation:
do by applying quadratic formula
Can somebody pls help me
Answer:
The answer would be 12.9 .
Step-by-step explanation:
Hope this helps u .
Answer:
tip amount = $12.9
Step-by-step explanation:
bill = $ 86
tip = 15%
tip amount = tip % of bill
=15/100 * $86
=1290/100
=$12.9
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters. 20.096 cm 40.192 cm 200.96 cm 401.92 cm
Answer: 40.192 cm
Step-by-step explanation:
the formula for circumference is [tex]2\pi r[/tex]
In this case we are using 3.14 for pi and the radius is 6.4
[tex](2)(3.14)(6.4)\\(6.28)(6.4)\\40.192[/tex]
Answer:
B. 40.192 cm
Step-by-step explanation:
Edge 2021
The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?
Answer:
There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.
Step-by-step explanation:
Aileen: x
Zulie: 3x
Melody: 4 + x
Zoe: x - 3
Abigail: x - 3
82 = (x) + (3x) + (4+x) + (x-3) + (x-3)
Combine Like Terms
x + 3x + x + x + x = 7x
4 - 3 - 3 = -2
7x - 2 = 82
7x = 80
x results in a decimal answer, which is not possible for number of hoops.
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time ; 1 mile = 1609 meters
Answer:
9.09 meters per second
Step-by-step explanation:
100 divided by 11= 9.09 meters per second.
What is the y-intercept for y = 5x^2 + 2x -2?
Answer: (0, -2) or -2
Step-by-step explanation:
Sub in 0 for x since at the y intercept x is 0
[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]
Use the geometric mean (altitude) theorem. What is the value of m? 4 2 StartRoot 7 EndRoot 4 StartRoot 10 EndRoot 160
Answer:
Option C: 4√10
Step-by-step explanation:
From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;
x/a = b/x
Applying it to this question;
Altitude is "m"
Left side measurement is 8
Right side measurement is 20
Thus;
m/8 = 20/m
Cross multiply to get;
m² = 160
m = √160
m = √(16 × 10)
m = 4√10
Answer:
C
Step-by-step explanation:
C
4. Is y = 6 a linear equation? Explain.
Step-by-step explanation:
yea!!!!
The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).
1/4x1/2x1/3
help pls hurry
1/4x1/2x1/3=1/ (4×2×3)
=1/24
Answer: 1/24
it cash price of a laptop $1 299 it can be bought on hire purchase
Answer:
explain more but if you meant the price of the can raise it indeed can due to the pieces in it and brand.
Step-by-step explanation:
Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?
0.9
0.4
-0.4
0.9
The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.
What is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5
Since the value of X axis is get increased, then the value of Y axis is also increasing.
According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.
Therefore, the given scatter plot shows positive weak correlation with value 0.9 .
To know more about statistics, here
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2. Length of a rectangular park is 11 m and breadth is 5m. Find the area of the
park. If of the park is covered with plants and grass, find the remaining area.
Answer:
11x5=55metres squared
Step-by-step explanation:
Write the equation in standard form for the circle with center (-2,6) and radius 6
Answer:
(x+2)^2 + (y-6)^2 = 36
Step-by-step explanation:
The equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x- -2)^2 + (y-6)^2 = 6^2
(x+2)^2 + (y-6)^2 = 36
Mrs .Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each ,how many bottles can she buy?
Step-by-step explanation:
hear is your answer with calculation
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
Answer:
2X+100 =8X+208
8X-2X=100-208
6X=-108
X=-18
8X+208=(8×-18)+208
=-144+208
=64
ANGLE 3=180-64
=116
Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking
Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees
A rectangle has an area of 117 cm^2 and width of 9 cm. Find its lenght
Answer:
13cm
Step-by-step explanation:
if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.
to check its correct, 13 x 9 = 117cm^2