In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of registered Labrador Retrievers was 6997 more than fifteen times the number of registered Great Danes. How many registered Labrador Retrievers were there?
show your work please
Answers
Answer:
154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE
Step-by-step explanation:
Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.
Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES
Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.
The statement:
"Fifteen times the number of registered great Danes " means 15x
and
"6997 more than fifteen times the number of registered great Danes" means 15x + 6997
then as per the given statement:
x = 9860 .
To solve for y;
y = 15x+ 6997
Substitute the value of x we get;
Simplify:
y = 154,897
Therefore, the registered Labrador Retrievers were there are; 154,897
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Related Questions
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
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CAN SOMEONE PLEASE DRAW DOTS WHERE THE ANSWER IS!! PLLSSS + BRAINLIEST
_____
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
(answers in the pictures below) tyysmm
Answers
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
Responses
A x − 7 = −11
B x − 7 = 11
C x + 7 = 11
D x + 7 = −11
Answers
A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment?
______________red bulbs (Round answer to the nearest whole number).
A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?
_____________red bulbs (Round answer to the nearest whole number)
Which company has the highest ratio of red bulbs in their shipment?
Company ______ (Type either A or B)
Company A = Light Bulbs Express
Company B = Light Bulbs R Us
Answers
Answer:
1. Expected(Red) in Shipment A = 1,050
2. Expected(Red) in Shipment B = 1,500
3. Company A has highest ratio of red bulbs
Step-by-step explanation:
Given
Shipment A (Light Bulb Express):
Total Light Bulb = 10,080
Sample Size = 48
Red Bulbs = 5
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 5/48
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 5/48 * 10,080
Expected(Red) = 50400/48
Expected(Red) = 1,050
Hence, the expected number of red light bulbs in the entire shipment is 1,050
Given
Shipment B (Light Bulb R Us):
Total Light Bulb = 15,500
Sample Size = 62
Red Bulbs = 6
To calculate the expected number of Red bulbs;
We start by calculating the probability of Red;
P(Red) = Number of Red / Sample Size
P(Red) = 6/62
Expected Number of Red Bulbs is calculated as follows;
Expected(Red) = P(Red) * Total Light Bulb
Expected(Red) = 6/62 * 15,500
Expected(Red) = 93000/62
Expected(Red) = 1,500
Hence, the expected number of red light bulbs in the entire shipment is 1,050
The company with highest probability has the highest ratio;
For Company A (Light Bulb Express)
Probability = 5/48
Probability = 0.1042
For Company B (Light Bulb R Us)
Probability = 6/62
Probability = 0.0968
Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;
(a) Find the volume of the container.
12cm
22cm
10cm
7 cm
8 cm
Answers
Answer:
Step-by-step explanation: you would have to cut the shape in to two then multiply the base x width x length
A group of 24 students spent 1,296 minutes studying for an upcoming test. What prediction can you make about the time it will take 150 students to study for the test?
It will take them 174 minutes.
It will take them 2,592 minutes.
It will take them 8,100 minutes.
It will take them 8,745 minutes.
Answers
Answer:
It will take them 8,100 minutes.
Step-by-step explanation:
If it takes a group of 24 students 1,296 minutes to study for an upcoming test, it takes 54 minutes for each student. (=> 1,296/24 = 54)
150 x 54 minutes = 8,100 minutes.
It will take them 8,100 minutes.
6x+y= -10x
what is the value of y
Answers
Answer:
y = -16x
Step-by-step explanation:
6x + y = -10x Subtract 6x from both sides
6x - 6x + y = -10x -6x
y = -16x
Helping in the name of Jesus.
explanation:
Move all terms not containing y to the right side of the equation
HELP PLEASE!! ALMOST DONE!
Answers
Answer: 7:21 and 10:30
Step-by-step explanation:
anyone please help me
Answers
Explanation:
700 words x 10 pages= 7000 words
7000 words/ 20 minutes
= 350 wpm
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
Q6: What is the measure of 2 if 1 is (2x - 3) and 2 is (8x)?
Answers
Answer:
168 degrees
Step-by-step explanation: first you would do (2x-3)+8x so you would have 10x-3 and that equals 180 degrees since its a straight angle. so you would do 10x-3=180 divide by 10, x-3=18 and add 3 so x=21 then since 2 is 8x you would multiply 8 by 21 which is 168.
In triangle XYZ, m∠Z = (5m − 16)° and the exterior angle to ∠Z measures (3m + 12)°. Determine the value of m.
m = 3
m = 10.8
m = 18
m = 23
Answers
Answer:
Step-by-step explanation:
Each Exterior angle = 180° - Interior angle.
(3m + 12)° = 180° - (5m − 16)°
Then solve algebraically:
\(3m+12=180-5m-16\)
\(3m+12=-5m+164\)
\(8m+12=164\)
\(8m=152\)
m = 19
The value of m will be 23.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle XYZ,
⇒ m ∠Z = (5m − 16)°
And, the exterior angle to ∠Z measures (3m + 12)°.
Now,
Since, The sum of angle and its exterior angle in a triangle will be 180°
Hence, We can formulate;
(5m − 16)° + (3m + 12)° = 180
Solve for m as;
5m - 16 + 3m + 12 = 180
8m - 4 = 180
8m = 180 + 4
8m = 184
m = 23
Thus, The value of m will be 23.
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
1. Sam has $20 to buy trail mix for his party. He knows that it costs $7 to buy
1 3/4 pounds of trail mix. Use this information to correctly complete the sentences.
The unit rate is $__________ per __________of trail mix. Sam can buy a maximum of _________ _________of trail mix for his party.
What you can use to fill in the blanks: dollar(s) , pound(s) , 3 , 4 , 5 , 5 1/4 , and 12 1/4.
2. A circular rug has a diameter of 3 feet.
Part A
What is the area, in square feet, of the rug rounded to the nearest whole number?
Enter your answer in the box.
_____ square feet
Part B
What is the circumference, in feet, of the rug rounded to the nearest whole number?
Enter your answer in the box.
______ feet
Answers
Answer:
The unit rate is $ dollar(s) per pound(s) of trail mix. Sam can buy a maximum of 4 pound(s) of trail mix for his party.
Step-by-step explanation:
this is my best answer...
What is the solution to the system?
y = 4x + 20
8x - 2y = -20
Answers
Answer:
-no solution-
Step-by-step explanation:
When solving problems for systems of equation. You first want to make one of the equations equal to one variable on a side of the equation. In this case, we already have an equation that equals a variable on one side: y = 4x + 20.
you plug in that variable to the other equation
8x - 2(4x + 20) = -20
and then you just solve the equation from there.
8x - 8x + 20 = -20
but by just looking at this, there will be no solution because 8x-8x makes the variable x disappear and 20 does not equal -20.
1. Y=-5
2. 2.5
can you help me please
Answers
Answer:
Its A n+(n+6)=24
Step-by-step explanation:
because 6 plus n (blue) is yellow and hen add original blue to equal 24
Answer:
1st: n+(n+6)=24 where n is the number of blue marbles.
A chest shaped as a rectangular prism can hold 432 wooden cube blocks with edge lengths of 1/3 ft.
What is the volume of the chest?
[_]ft^3
Answers
Answer:
16ft
Step-by-step explanation:
Your Welcome, have a nice day.
HELP! A student starts a walk at (−6, 10). If the student walks 4 miles north, south, east, or west, which of the following could be their location at the end of the walk?
A. (10, −6), (6, −6), (−2, 14), (−10, 14)
B. (4, 10), (−14, 10), (−6, −2), (−6, 6)
C. (−6, 4), (−6, 6), (−2, 10), (4, 10)
D. (−10, 10), (−2, 10), (−6, 14), (−6, 6)
Answers
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Answers
Data Set A: 9, 11, 13, 10, 12
Data Set B: 8, 10, 12, 14, 16
Data Set C: 10, 10, 10, 10, 10
Data Set D: 11, 11, 11, 11, 11
To find the mean, we sum up all the values in each data set and divide by the number of values:
Data Set A: (9 + 11 + 13 + 10 + 12) / 5 = 11 minutes
Data Set B: (8 + 10 + 12 + 14 + 16) / 5 = 12 minutes
Data Set C: (10 + 10 + 10 + 10 + 10) / 5 = 10 minutes
Data Set D: (11 + 11 + 11 + 11 + 11) / 5 = 11 minutes
Comparing the mean of each data set to 11 minutes, we can see that only Data Set A and Data Set D have a mean of 11 minutes. However, to prove that our choice is correct, we need to analyze the individual values in the data set.
In Data Set A, we can observe that the values are relatively close to 11 minutes, with some values slightly above and below. This variation suggests a realistic scenario where Diego's walk to school might take slightly different amounts of time each day.
In Data Set D, all the values are exactly 11 minutes. While it is not impossible for Diego's walk to consistently take exactly 11 minutes each day, it seems less likely than having some variation in the durations.
Based on these observations, we can conclude that the most plausible data set for Diego is:
Data Set A: 9, 11, 13, 10, 12
This data set has a mean of 11 minutes and exhibits a realistic variation in walk durations, making it the most likely choice for Diego's recorded lengths.
Evaluate this expression when c = -2 and d = 2:
(c^2+d^2) -2 (c^2-d^2)
A. 0 B. 8 C. -8 D. 16
Answers
Answer: B i hope this helped :)
Step-by-step explanation:
Explanation:
Hope this helps<33!
Which number sentence is true?
Answers
Answer:
D should be the correct answer
Step-by-step explanation:
The model represents an equation
What is the solution for the equation
Please help will give brainlest
Answers
Answer:
G. x = 6/5
Step-by-step explanation:
There are 5x's and 4 ones on the left side ==> 5x + 4
There are 10 ones on the right side ==> 10
Equation left and right side expressions gives the equation:
5x + 4 = 10
Subtract 4 on both sides:
5x + 4 - 4 = 10 -4
5x = 6
Divide by 5 both sides
5x/5 = 6/5
x = 6/5
Write the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answers
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
Please help me, I'm stuck
Answers
Answer:
20 cm²
Refer to the attached page,I've shown the complete calculation over there.
I hope this helps you...
A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 18 inches. What's the width of the frame? (WRITE AND SOLVE THE EQUATION)
Answers
Answer:
10 inches (each side)
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
2(18) + 2w = 58 in
36 + 2w = 58 in
2w = 58 - 36
2w = 22 in
w = 22 divided by 2
w = 11 in
Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
Answers
It would be y=x or x=y as we can see that 9 lawns in 9 hrs equal 1 lawn in 1 hr. 6 lawns in 6 hrs equals to 1 lawn in 1 hr as well.
Alan launches a ball of clay into the air using a catapult. He calculates its kinetic energy to be 9.0 J. Then he tears it in half and forms a ball that has half the mass. He launches the smaller ball into the air at the same speed. What is the kinetic energy of the smaller ball
Answers
PLS help i having problem with this one
Answers
Answer:
what do we have to do in this?
How do percentages work?
Explain.
Answers
Como hacer una operación:
EJEMPLO: 30%
30×0.30= 9
El precio o descuento seria 9 :)
The table shows the results of randomly selecting a colored cube from a bag 80 times. The cube was returned to the bag after each selection.
Based on these results, what is the expected probability of randomly selecting a red cube from the bag in one attempt?
A) 0.20
B) 0.04
C) 0.24
D) 0.30
Answers
Write an algebraic expression to represent the following phrase:
the sum of a number and 0.5
no links
Answers
Answer:
x + 0.5
Step-by-step explanation:
The sum of implies that addition is involved.
Since the number is unknown, you use a variable. For example, x.
You're adding x and 0.5 so you would use a plus sign.
The algebraic expression would be x + 0.5.
Hope that helps.