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.
Reflections, Rotations, and Translations give two congruent shapes (The Image and Pre-Image)
True
O False
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Answer:
frrffrwfr
Step-by-step explanation:
plzzzzzzzz help A.-9 B.-16 C.0 D.16
b
−16
c
0
d
16
Answer:
D. 16
Step-by-step explanation:
HELP WHAT PERCENT IS THE SALES TAX????
Answer:
first one is 6 cents(6 percent) second one 14 cents (14%)
Step-by-step explanation:
is just didviding them
-8, 22, 52, 82, ...
Find a 20
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = 30.
a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562
What is the measure of the missing angle
Answer:
45 degrees xxxxxxxxxx
Step-by-step explanation:
simple geo
find x to the nearest tenth
Answer:
x = 18.0
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
In your problem, sin of an angle = opposite side/hypotenuse
So, sin 51 = 14/x
x sin 51 = 14
x = 14/sin 51 = 18.0
Is 1.5 a solution to 2x- 19 = −4−8x?
Answer:
yes
Step-by-step explanation:
Will give brainiest to correct answer
20a + 32
Answer:
wouldn't it just be the same? It would still be 20a+32
Answer:
4(5a+8)
Step-by-step explanation:
Factor 20a+32
20a+32
=4(5a+8)
4 + 5x-x + 19 simplify expressions using like terms
what is the value of x ?
Answer:
10
Step-by-step explanation:
Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal
Fill in the blank with the correct word(s) to complete the sentence.
A net is a two-dimensional ______ of a three-dimensional figure.
A.
pattern
B.
length
C.
congruent
D.
height
THE FIRST PERSON TO ANSWER GETS ANOTHER BRAINLEST CHECK MY ACCOUNT IF YOU DONT TRUST ME BECAUSE I HAVE A BRAINLEST TO GIVE OUT TO THE FIRST PERSON WHO ANSWERS FIRST GOOD LUCK ;)))))
Answer:
pattern
Step-by-step explanation:
.............................................
Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF is a parallelogram
9514 1404 393
Explanation:
Here is one way to go about it.
Statement . . . . Reason
1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given
2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)
3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint
4. DF ≅ BE . . . . substitution property of congruence
5. BE║DF . . . . segments of parallel lines are parallel
6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram
Systems of equation:substitution
The 2 problems in here i need done by 11:00pm est
8:00pm pst
Step-by-step explanation:
8)
describe y in terms of x
y=5+x
so now replace y with terms of x
5+x+3x=37
4x=32
x=8
y=13
9)
do the same here
x=y+1
2y+x=19
2y+y+1=19
3y=18
x=6
y=7
Plz, answer this question plz!
Answer:
The answer is
F: 362,880
Step-by-step explanation:
9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
You multiply 9 all the way back to 1 giving you the answer of 362,880
Which statement is true about the following pair of rectangles?
Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.
Answer:
probably D
Step-by-step explanation:
1+1
(You don't have to answer its for talking)
Answer:
Step-by-step explanation:
1 +1 = 2 g a y n i g g a s
how do i convert 84 3/4 percent into a decimal.
Answer:
84 3/4% = 0.8475
19. Macy bought new tires for her car. She chose tires that cost $73 each. However, the tire store was offering a Buy 3Get 1 Free Sale. After this special sale, she had to pay % sales tax . What was , Macy's final cost for all 4 tires?
Answer:
$219 without tax
Step-by-step explanation:
im not sure how to calculate tax
hope this helps :)
1. 12
_____
5
9
2. 12
_____
5
9
Answer:
12-7=5
12-3=9
12-7=5
12-3=9
Tell which equation you would choose to solve for one of the variables. Explain.
x+ 4y = 30
x – 2y = 0
Answer:
i would choose to solve x+2y=0 because it is simple and ez
Step-by-step explanation:
i took test and got 100 % brainliest plz
overheads are added to the?
Answer:" In business, overhead or overhead expense refers to an ongoing expense of operating a business. Overheads are the expenditure which cannot be conveniently traced to or identified with any particular cost unit, unlike operating expenses such as raw material and labor." as said by wiki
Step-by-step explanation:
Scrbkfvjtfcbjt hffcjtfbnid. Jrcvnfccb
Answer:
yeah i know the secret codeto Sy evvceryvcx evtrtyev ivyreviqvvt. qut
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!need help asap will give brainly
Answer:
False
Step-by-step explanation:
please brainlist
Answer: 0.125 meters / 1 I think
somebody help I need your help
Answer:
a
Step-by-step explanation:
sorry if im wrong
Answer:
hsdcfvjfcdn cfv bb
Step-by-step explanation:dvbvgfdsxdcfvfcdsdxc
When spinning a ten-number spinner (with numbers 1-10), what are the odds of the arrow landing on 8?
-5 + 3g + (-3) - 8g = -18
Answer:
the answer is g=2
Step-by-step explanation:
hope this helps!!!
What is the area of the trapezoid?
Answer:
108
Step-by-step explanation:
b1+b2/2×h
so 12+15/2×8
12+15=27
27÷2=13.5
13.5×8=108
108 is the answer
You have 5 3/4 cups of sunflower seeds and 1 1/4 cups of peanuts for birdseed. You use 2/3 of the total mixture each week. How many weeks your birdseed mixture last
Answer:
Step-by-step explanation:
The bird food lasts 1½ weeks.
Your birdseed mixture last till 10 and a half weeks.
What is an improper fraction?A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.
Given:
You have 5[tex]\frac{3}{4}[/tex] cups of sunflower seeds and 1[tex]\frac{1}{4}[/tex] cups of peanuts for birdseed.
The total mixture,
= 5[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex]
= 23/4 + 5/4
= 28/4
= 7 cups.
You use 2/3 of the total mixture each week.
That means,
the number of weeks,
= 7 x 3/2
= 21/2
= 10.5 weeks.
Therefore, the mixture will last till 10 and a half weeks.
To learn more about the improper fraction;
brainly.com/question/21449807
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