Answer:
Step-by-step explanation:
.
The ratio of cats to dogs is 3 : 7.
12 dogs escaped and the ratio is now 3 : 4.
Work out how many animals there were at the beginning.
Given:
The ratio of cats to dogs is 3:7.
12 dogs escaped and the ratio is now 3 : 4.
To find:
The total number of animal at the beginning.
Solution:
Let the number of cats and dogs at the beginning are 3x and 7x respectively.
12 dogs escaped. So, the remaining number of dogs is (7x-12).
New ratio of cats and dogs is 3:4.
[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]
[tex]4(3x)=3(7x-12)[/tex]
[tex]12x=21x-36[/tex]
[tex]12x-21x=-36[/tex]
[tex]-9x=-36[/tex]
Divide both sides by -9.
[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]
[tex]x=4[/tex]
Now, the total number of animals at the beginning is
[tex]Total=3x+7x[/tex]
[tex]Total=10x[/tex]
[tex]Total=10(4)[/tex]
[tex]Total=40[/tex]
Therefore, the total number of animals at the beginning is 40.
The answer to this problem
Answer:
Check pdf
Step-by-step explanation:
Answer:
p ≥ − 9
Step-by-step explanation:
what is the 11.2???
If x+3/3 = y+2/2, then x/3 = ______
A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?
Answer:
26,800 pounds of gravel
Step-by-step explanation:
13.4 tons is equal to 26,800 pounds
What is the name of the persons(nobles) who help the taino chief
pls help me I will give brainliest
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.
hope it helps you,
Mark me as the brainliest....
Follow me!
Help pls i forgot how to do this
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ7
Plss help !!!!!!!!!!!!!!!!
Answer: C (324)
Step-by-step explanation:
He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.
Answer:
C. 324 thats the answer my cousin solved this
Help!!!!!!!!!!!!!!!!!
Answer:
-64
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569
Answer:
bad expression
Step-by-step explanation:
13251+3032−8569=7714
can u pls help me with this question asap
Answer:
a.
Step-by-step explanation:
8(4n + 3) = – 72
show your work
Answer: n= −3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(4n+3)=−72
(8)(4n)+(8)(3)=−72(Distribute)
32n+24=−72
Step 2: Subtract 24 from both sides.
32n+24−24=−72−24
32n=−96
Step 3: Divide both sides by 32.
32n/32 = −96/32
n=−3
Answer:
n= -3
Step-by-step explanation:
32n+24=-72
(subtract 24)
32n=-96
(divide by 3)
n=-3
0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?
Answer:
Each book costs $18.
Step-by-step explanation:
$155 - 11 = $144 left
$144/8 books = $18 per book
Hope this helps!
Answer:
155 minus the 11 she still had means she spent 144.
144 divided by 8 books comes to $18 per book, on average.
a full glass of water can hold 1/6 of a bottle how many of glasses can be filled with 3 1/2 of bottles of water
Answer:
21 glasses can be filled
If anyone could help me with this question that would be great
Answer:
5/3
Step-by-step explanation:
image/pre-image
15/9 simplified is equal to 5/3 which is the scale factor
Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
banana chips. What percent of the mix are raisins?
Answer:
25% of the mix is raisins
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
will mark brainliest and rate 5/5
Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.
Fill in the blanks to the picture above
Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
A can of cat food costs $0.62. How much would it cost to buy 5 cans of cat food?
Answer:
3.1
Step-by-step explanation: muitply by 5
A city has a population of 220,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 9 years? How many people
Answer:
294250 people will be there after 9 years if the population is increased 3.75% annually.
Step-by-step explanation:
First, 3.75% of 220000
then multiply the answer with 9.
again add the answer with 220000.
hence your answer came.
try it. Hope it helps
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
A triangle with base 8.2 cm and height 5.1 cm has an area of.
Answer:
Triangle area = 20.91 cm^2
Step-by-step explanation:
area = 1/2(b*h)
area = 1/2(8.2*5.1)
area = 1/2(41.82)
area = 20.91 cm^2
What is the value of b?
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm
Answer:
a=9.4cm
b=12.0cm
Step-by-step explanation:
I WILL DO ANYTHING JUST PLEASE
Answer:
95 0r 91
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
trust me
5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters
66 POINTS FOR THIS QUESTION!!! There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play?
Find the gradient of the line segment between the points (8,6) and (10,12)
Answer:
3.
Step-by-step explanation:
The gradient = (12-6/(10-8)
= 6/2
= 3.
find area of trapezoid
Answer:
150 sqaure ft
Step-by-step explanation:
okay so the formula for area of a trapezoid is
1/2 (b1 + b2) h
so base one of 15 plus two of 10 os 25 ft
25 feet divided by 2 is 12.5 so 12.5 × 12 is 150