Animal Kingdom - You won the lottery and decided to buy all of the cats and dogs at a shelter and let them all roam free on a farm. You forgot to ask exactly how many dogs and how many cats they were giving you, but you know that there are 152 animals altogether and there are 3 times as many dogs as there are cats. Write an equation to find out the number of dogs and cats and then solve it.
Answer:
3x=152
Step-by-step explanation:
You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.
Over the past 15 years, a business owner has made at most $4,000 in profits each week .Which graph represents the business owner's possible profits each week ?
Answer:
3,120,000
there are 52 weeks in a year:
52 x 15 = 780
Now multiply the salary to it:
780 x 4,000 = 3,120,000
I think this is correct
Answer:
d
Step-by-step explanation:
I got it correct so it must be correct
Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9
Answer:
The answer is ;
9x/2y^2
Step-by-step explanation:
Here, we want to simplify as far as possible
Let us take all the numbers one after the other
All numbers on numerator and denominator;
(4 * 9)/(2 * 4) = 9/2
All x
(x^2 * x^2)/(x^2 * x) = x
All y
(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2
So the complete answer is;
9/2 * x * 1/y^2
= 9x/2y^2
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
What expression below is equivalent to 3a + 12?
3(a + 12)
В.
3(a + 4)
C.
15 + a
D.
15a
Answer:
B. 3(a + 4)
Step-by-step explanation:
Divide by a factor of 3:
3a/3 = a
12/3 = 4
Therefore, 3(a + 4) is equivalent to 3a + 12.
For the school play, the advance tickets cost 3, while tickets at the door cost 5. Thirty more tickets were sold at door than in advance, and was collected. How many of each kind of ticket were sold? Write your answer in a sentence.
Answer:
Number of tickets sold in advance = 310
Number of tickets sold at the door = 340
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?
The explation of the answer is now given as follows:
Let a represents number of tickets sold in advance. Therefore, we have:
a = number of tickets sold in advance at $3 each
a + 30 = number of tickets sold at the door at $5 each
The total amount collected can be represented by this equation:
3a + 5(a + 30) = 2630
Solving for a, wee have:
3a + 5a + 150 = 2630
8a = 2630 - 150
8a = 2,480
a = 2,480 / 8
a = 310
Therefore, this implies:
Number of tickets sold in advance = 310
Number of tickets sold at the door = a + 30 = 310 + 30 = 340
which equation represents this graph?
Answer:
It would be the 1st answer, y= 3/2x + 2.
Step-by-step explanation:
The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps
Helpppp meeeeee pleaseeeee
Answer:
x+3=5 is the answer you're looking for.
Answer:
x+3=5
Step-by-step explanation:
the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answer:
Call the line (d): y = ax + b
(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3
(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0
Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3
So the equation for the line is y = 3x + 3
Step-by-step explanation:
Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Greatest common factor of 4 and 19?
Answer:
The greatest common factor of 4 and 19 is 1
Step-by-step explanation:
Answer:
Greatest common factor of 4 and 19 is 1
A line has this equation: y = x + 4 Write an equation for the perpendicular line that goes through (2, 5).
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
If LN = 12x + 16, what is the length of Line segment L N in units?
Answer:
Step-by-step explanation:
16 units 40 units 48 units 64 units.
Answer:
64 units
Step-by-step explanation:
Given M lies on LN, so LN = LM + MN --------------(1)
LN = 12x + 16
LM = 10x + 8
MN = 5x - 4
Substituting the values in equation 1, we get:
12x + 16 = (10x + 8) + (5x - 4)
12x + 16 = 15x + 4
15x - 12x = 16 -4
3x=12
Therefore x=4
LN= 12(4) + 16 = 64 units
For what value of p would the statement 5p = 30 be true
Answer:
p = 6 is the answer
Step-by-step explanation:
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7
Answer:
I pretty sure its C. OD-2) = 18
Step-by-step explanation:
Can I get some help thank u sm
Answer:
11Step-by-step explanation:
The sum of interior angles is equal to exterior angle
Given the following
Interior angles = 5x + 10 and 58
Exterior angle 11x+2
According to the postulate:
5x + 10 + 58 = 11x + 2
5x + 68 = 11x + 2
Collect like terms
5x -11x = 2 - 68
-6x = -66
x = -66/-6
x = 11
The value of x is 11
If the area of a circle is 25pi (n), what is the radius of the circle
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
Please help with all thank you!!! Brainliest will be given!!
Answer:
1) Strong correlation
2) no correlation
3a) 2008 3b) 47 3c) The authors are trying to communicate the number of male teachers in different school years
4b) inches of rain (r) = (around) 0.6
Step-by-step explanation:
A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]
Where [tex]Base\: Area = \pi r^2[/tex]
First we need to find radius r
[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]
So, we get radius r = 2.656
Putting values of volume and radius are to find height
[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]
So, the height of cylinder is 9 cm
Find the exact length of the third side.
39
36
The answer is 15 cm
39 cm, 15 cm, 36 cm
I need help with homework
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
1) Work out the size of angle x.
2) Give reasons for your answer.
(15 points if correct)
Answer:
x= 75°
because 180°-105°=75°
Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow
Answer:
3. 150% 4. 8.3%
Step-by-step explanation:
Percent error formula is the difference between the actual and estimated divided by actual times 100.
3. (5-2) / 2 x 100= 150%
4. (24-22)/ 24 x 100 = 8.3%
Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 16 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answer: 40 minutes
Step-by-step explanation:
It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:
= 16/2
= 8 minutes per station
Ms. Reynolds has 5 stations.
Total time taken will therefore be:
= 8 * 5
= 40 minutes
solve for all solutions: sin5x=-1/2
Answer:
-1/10
Step-by-step explanation:
Let's solve your equation step-by-step.
5x=−1/2
Step 1: Simplify both sides of the equation.
5x= -1/2
Step 2: Divide both sides by 5.
5x/5 = -1/2/5
x=-1/10
solve (−8x−12)+(9x+4)=
What is the measure of EFG in O0 below?
GE=60
EFG=360-60=300
:)
I need help with this
Answer:
The order is from top to bottom just an FYI :)
First blank: 1
Second blank: 7
Third blank: 4
Step-by-step explanation:
I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.