Answer:
a. I would put 20 stuffed animals in the bin, out of which 10 would be teddy bears.
So that the probability is 10/20 = 1/2
b. I could remove 8 other animals from 12 to have 4. So that the total number of stuffed animals is 8. 4/8 = 1/2
Step-by-step explanation:
a. Probability =
number of required outcomes / number of possible outcomes
If in the bin there are 10 teddy bears out of 20 stuffed animals,
Then the probability of picking a teddy bear = 10/20 = 1/2.
b. If on returning, there are 4 teddy bears and 12 other animals, I could simply remove 8 of the other animals to have 4 other animals and a total of 8 stuffed animals.
Probability = 4/8 = 1/2
Kate is 4 years older than Bob. If the sum of their ages is 28, what are the ages of
Kate and Bob?
Answer:
Kate is 16, Bob is 12
Step-by-step explanation:
Since Kate is 4 years older than Bob, Kate's age is represented by the following equation:
B+4=K
Bob's age is just B
Now, the sum of their ages is 28, which means we add Kate's and Bob's age:
Instead of writing K+B=28, we would write the equation with the same variable:
B+4+B= 28
(B+4= Kate's age)
add like terms
2b+4=28
subtract 4 from both sides
2b=24
divide by 2
b=12
12 is Bob's age and to find Kate's age, we add 4
Kate is 16.
Hope this helps
You are given the radius of a circle. How can you find the distance around it?
Answer:
Circumference - 2 * pi * r
Step-by-step explanation:
multiply radius by 2.
multiply by pi
Gabby measures out 5 1/2 pounds of almonds at the grocery store bulk section. At the check out total cost came up to $20.90 What is the price per pound?
Answer:
$3.80/pound
Step-by-step explanation:
We can just divide the price by the amount to find the price per pound.
20.90 ÷ 5.5 = 3.80
Hope this helps!
Find the next term of the given sequence. 1.31, 2.54, 3.77, ...
4.90
5.00
5.10
Answer:
5.00
Step-by-step explanation:
PLEASE ANSWER URGENT WILL GIVE BRAINLIEST AND 20 POINTS.
Ken needs to solve the equation below.
4.7 − y = 10.35
Which statement explains the value of y that makes the equation true?
A) –5.65, because 4.7 must be subtracted from both sides before moving the negative sign to the opposite side
B)5.65, because the only step needed is to subtract 4.7 from 10.35
C)–15.05, because 10.35 and 4.7 must be added before moving the negative sign to the opposite side
D) 15.05, because the only step needed is to add 4.7 and 10.35
C[tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Dan mixed 2 parts of milk and 3 parts of syrup to make a drink. How many parts of milk did Dan mix with each part of syrup? (1 point) Group of answer choices A two over five B two over three C three over five D three over two
Answer:
B
Step-by-step explanation:
2 parts of milk is mixed with 3 parts of syrup
This implies 2/3 parts of milk is mixed with 1 part of syrup.
Emma is 10 years old. she asked her father how old he is. her father answered, "when you are my age I will be 70." how old is Emma's father.
Answer:
40
Step-by-step explanation:
Emma age: yE = 10 + x (x is timeline)
Father age: yF = A + x (x is timeline, A is Father age today)
in time x1: Emma will be A years old, and Father will be 70 years old.
yE (x1) = 10 + x1 = A
yF (x1) = A + x1 = 70
System of equations with unknown values: x1 and A.
substract equation 1 - equation 2:
10 - A = A - 70 ⇒ 80 = 2A ⇒ A = 40
So, father is 40 years old now
Emma's father is 40 years old
Let the age of Emma father be y
Age of emma = 10 years
In x years time;
Emma age will be 10 + xFathers age will be y + xIf in x1 years time, Emma will be y years old and his father will be 70 years old
Emma age: yE = 10 + x (x is timeline)
Emma's current age will be 10 + x = yHis father;s current age will be y + x = 70
Solving both equations simultaneously;
10 - y = y - 70
10+70 = y + y
80 = 2y
2y = 80
y = 80/2
y = 40 years
Hence Emma's father is 40 years old
Learn more on simultaneous equations here: https://brainly.com/question/16863577
A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.
Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
Find the circumference and the area of a circle with radius 7ft .
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
C=43.96 ft.
A=153.86 ft.^2
Step-by-step explanation:
for circumference, use C=2πr
for area, use A=π[tex]r^{2}[/tex]
The circumference and the area of a circle with radius 7 feet are 43.96 feet and 153.86 square feet, respectively.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
A circle with radius 7 feet.
Then the circumference of the circle,
= 2πr
= 2(3.14)(7)
= 43.96 feet.
The area of the circle,
= πr²
= (3.14) (49)
= 153.86 square feet.
Therefore, circumference is 43.96 feet and area is 153.86 square feet.
To learn more about the circle;
https://brainly.com/question/29142813
#SPJ2
Find the quadratic equation 3 and-5
Answer:
x^2 + 2x - 15 = 0.
Step-by-step explanation:
If you mean the equation with zeroes of 3 and -5 it is:
(x - 3)(x + 5) = 0
x^2 + 2x - 15 = 0.
PLS PLS PLS ANSWER ASAP FOR BRAINLIEST
There are 4 cookies and 12 cupcakes leftover at a bake sale. What is the ratio of cookies to cupcake? Your answer must be in simplest form.
PLS ANSWER ASAP
Answer:
1:3
Step-by-step explanation:
4/12 simplified is 1/3
for every one cookie leftover, there are 3 cupcakes leftover
xoxo, your highness...Find the coordinates of the point where y-4x=1 crosses the y axis
Answer:
(a) (-1/4,0)
(b) k = (10-c)/2
Step-by-step explanation:
(a) A point passing through the y-axis is the same as finding the y-intercept.
[Move terms to right-hand side; y = mx + b form]
y = 4x + 1
[Find x, when y = 0]
0 = 4x + 1
-1 = 4x
-1/4 = x
At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.
(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant
[Find x by plugging in known values]
Using y = 2x + c,
10 = 2k + c
10 - c = 2k
(10-c)/2 = k
Answer:
first one is -1,0
Step-by-step explanation:
i just did it
A salesman receives a weekly salary of $150. He
also receives $4 for each tire he sells. One week, he
earned $330. How many tires did he sell that week?
Answer:
150 + 4x = 330
4x = 180
x = 45
Step-by-step explanation:
I am a 4-digit number, identity unknown.
1. My thousands digit is twice my tens digit.
2. My hundreds digit is 1 less than my tens digit.
3. My ones digit is not 0.
4. The sum of my digits is 11.
5. All of my digits are different.
What number could it be?
Answer:
4214
Step-by-step explanation:
four is twice the hundreds which is 2 and the tens(1) is less than two by one and 4 plus 2 plus 1 minus eleven is four
Julie is about to ride a straight water slide. The length of the water slide itself is 20 meters. The splash pool at the end of the slide is 16 meters away from the base of the tower that leads up to the launching platform. How high is the launching platform?
Answer:
The launching platform height is 12 meters.
Step-by-step explanation:
Tarin received a raise of $80 per week. If he was making $500 per week before the raise, what was the percent change in his earnings?
Increase or decrease? increase
amount of change = 80
original amount = 500
percent
Final result =
16%
Step-by-step explanation:
500/100 = 1% = 5
80 / 5 = 16
How many kilograms are in 44 pounds
Answer:
19.9581kg
Step-by-step explanation:
Hmm almost equal to 20kg
In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.
Answer:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches
Answer:
6
Step-by-step explanation:
Geometry question plz help me ?
HELP ME FAST NEED PLEAS THANK YOU
Answer:
C
Step-by-step explanation:
You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price. a. Write and solve an equation to find how much you spend on each CD. Let p represent the price you pay for each CD. Equation: =30.40 You spent $ on each CD. Question 2 b. The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs? No, you will not be able to buy 3 more CDs. Question 3 c. Explain your reasoning for part (b). Each CD costs $ at the regular price, so 3 CDs would cost $ .
Answer:
$7.6 ;
No, you will not be able to buy 3 more CDs
$9.5
$28.5
Step-by-step explanation:
Given that :
Cost of 4 CDs = $30.40
Cost per CD is equal
Sale price = 80% of original price
Price p per CD:
Cost of 4 CDs / number of CDs
$30.40 / 4
= $7.6
2)
No, you will not be able to buy 3 more CDs
If x = original price
80% of x = 7.6
0.8x = 7.6
x = 7.6 / 0.8
x = $9.5
$9.5 * 3 =$28. 5
Hence, $25 can't buy 3 CDs the next day (28.5 > $25)
write as a product: a-b+a^2-B^2
Answer: (a - b)(a + b + 1)
a - b + a² - b²
= (a - b) + (a - b)(a + b)
= (a - b)(a + b + 1)
Step-by-step explanation:
HELP FAST PLZ
Cha deposits $200 into an account that pays simple interest at a rate of 6% per year. Huch interest will he be paid in
the 3 years
Answer:
$236 in 3 years
Step-by-step explanation:
Which statement can john use this figure to prove?
Answer:
Can you post a picture of the figure?
Three more than a number times six is fifteen
Answer:
3 + 2=5
5 x 6 = 15?
Step-by-step explanation:
what is 2 + 1 = ? is it 3 or is it 3 because i dont know
Answer: 4
Step-by-step explanation:
ANSWER
3
Explanation
2+1=3
Solve for x.
x + 47 = -23
x =
Answer:
x = -70
Step-by-step explanation:
x+47=−23
Subtract 47 from both sides.
x+47−47=−23−47
x = −70
Answer:
x=-70
Step-by-step explanation:
x +47= -23
-47 -47
x= -70
the product of d and 4
Answer: 4d
Step-by-step explanation:
Product means multiplication, so the product of d and 4 means d times 4.
Which of the ordered pairs are functions
(Hint: there are more than one?)
15 POINTS
OR BRAINLIST ???
Answer:
c
Step-by-step explanation:
a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Step-by-step explanation:
Multiply 32 by 72 to get thw mass.