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.
If a circle is divided into 30 equal parts, what will be the measure of the angle of each part???
Answer:
12 degrees
Step-by-step explanation:
Total angle in a circle = 360 degrees
If a circle is divided into 30 equal parts
measure of each part = Total angle in a circle/Total parts
measure of each part = 360/30
measure of each part = 12 degrees
Hence the measure of each part is 12 degrees
Brainiest to who answers first
Write the equation of the line that passes through the points (2, -6) and (8,-2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer: x= 2/3
Step-by-step explanation:
The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix traveled 78 miles in 1.5 hours while going at a constant speed, how far will he travel in 2 hours at the same speed?
Answer:
answer is 175 miles, have a good day <3
Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
cos θ=3/5, tan θ < 0
First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Then
sin(θ) = -√(1 - cos²(θ)) = -4/5
and so
tan(θ) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(θ) = 1/cos(θ) = 5/3
csc(θ) = 1/sin(θ) = -5/4
cot(θ) = 1/tan(θ) = -3/4
1/2x+4=9 solve for x.. Help?
Answer:x=10
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
Step 2: Multiply both sides by 2.
Answer: x=10
Step-by-step explanation:
1/2x+4=9
-4 -4
1/2x=5
multiply by 1/2 on each side
x=10
A line passes through the point (-6,2) and has a slope of -4/3
Write an equation in point-slope form for this line.
Answer:
Step-by-step explanation:
Chad bought a shirt for $19 and a pair of shoes for $28 more than the shirt how much was the pair of shoes
Answer:
47
Step-by-step explanation:
All you need to do to get the answer is
19 + 28 = 47
if sin theta = -3/5 and theta terminates in the fourth quadrant, find the exact value of tan 2θ
Answer:
67=9
Step-by-step explanation:
Answer:
-24/7
Step-by-step explanation:
EDGE 2021
8+4+10-4?? how to do ??
Answer:
18
Step-by-step explanation:
Just go in the order as is. You add the 3 numbers together, 8+4=12+10=22, then subtract off 4, 22-4=18.
Answer:
18
Step-by-step explanation:
break it down!
8 + 4 = 12
12 + 10 = 22
22 - 4 = 18
(a calculator also helps if you're unsure)
Find the shaded area .
Answer:
152cm^2
Step-by-step explanation:
Find area of whole rectangle = 12 * 18 = 216cm^2
Find area of smaller square = 8 * 8 = 64cm^2
Take away the larger area from the smaller area = 216 - 64 = 152cm^2
(^2 indicates cm squared)
Hope this helps :)
Answer:
Area of the given figure is 152 sq.cm
Step-by-step explanation:
area of given figure (A)
= area of rectangle - area of minor square
=》A = (12 × 18) - (8 × 8)
=》A = 216 - 64
=》A = 152 sq.cm
what is the slope of this line, simplify if possible!
Answer:
The slope is 0
Step-by-step explanation:
the line is straight, so the slope is 0. I hope this helps
what is the value of a in the equation ax + b = c
Answer:
a= (c-b)/x
Step-by-step explanation:
subtract b to both sides
divide x to both sides
leaving a by itself.
Round 38224 correct to 1 significant figure
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
sure .
Step-by-step explanation:
I answer and then give me brainliest. sorry I am being rude
:/
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.
9 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
The last statement is true
Step-by-step explanation:
How do i find this slope?!?!?!
Answer:
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Here are the equations you can use to find the slope;
Slope. y2 - y1 / x2 - x1 = slope.
Slope Intercept form. y = mx + b.
Point slope form. y - y1 = m ( x - x1)
36 is what percent of 247
Find the measure of side b. Round to the nearest whole number.
9514 1404 393
Answer:
143 m
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(33°) = b/(170 m)
b = (170 m)cos(33°) ≈ 142.57 m
The measure of side b is about 143 meters.
Please give me the correct answer.Only answer if you're good at math.
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
Macy's is having 25% off shoes next week. If a pair of Uggs is originally $400, what is the
sale price of the shoes?
Answer:
300 dollars is your answer
Answer:
300$
Step-by-step explanation:
400 - 100 = 300 dollars
II.
What is the area of this parallelogram?
in2
h = 5 in.
b = 6 in.
Pls help :)
Answer: 30 in²
Step-by-step explanation:
Area = base x height
A = 6 in x 5 in
A = 30 in²
Sarah went to lunch with 4 friends. The total bill was $125.68 and they had coupon for $20 off. How much did each person pay?
PLEEEASE Help ME!!! WILL GIVE 20 POINT BRAINLIEST FOR ANSWER ASAP!!!
A rectangle is formed by placing two identicle squares side by side the area of the rectangle is 72 cm.² what is the perimeter of one square
Answer:
no
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
i help you
Anthony bought 4 1/2 pounds of meatballs. He decided to cook 1 1/4 pounds and freeze the rest. How many pounds did he freeze
Answer:
anthony froze 3 1/4 of the meatball
David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?
Answer:
$51.75
Step-by-step explanation:
Answer:
$22
Step-by-step explanation:
4 * 5.50 = 22
In a shipment of 400 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1200?
1200 parts/ 400 parts = 3
12 parts x 3 = 36 parts
In 1200 parts, 36 would be bad.
Please help with 2 and 3!! I´ll give brainly!!
Answer:
2 and 16
Step-by-step explanation:
whats the gcf of 36 and 96??? suoer confused on this one too :(
Answer:
12! Hope this helped
Step-by-step explanation:
Mr lin has 10 baesball his gym make 4 teams
Answer:
Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group
Step-by-step explanation:
It would be better if he had 5 teams because everyone will be able to be in a team