He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)
Answer:
B. P(B/A)=P(B)
convert 0.00633 to a scientific notation
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?
Answer:
Find the midpoint of the line segment joining the points R(,) and S(,).
Step-by-step explanation:
Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?
Answer:
Step-by-step explanation:
let Emma age be x now
Let Joseph age be y now
If Emma is 10 years younger than Joseph, then x = y-10
six years from now:
Emma will be x+6 years
Joseph will be y+6 years
If Joseph's age 6 years from now will exceed twice Emma's age 2 years ago by 3 years, then:
y+6 = 2(x+6-2) + 3
y+6 = 2(x+4)+3
y + 6 = 2x+11
y + 6 = 2(y-10)+!1
y + 6 = 2y-20+11
y - 2y = -9-6
-y = -15
y = 15
Since x = y -10
x = 15-10
x = 5
Hence Emma is 5years old now and Joseph is 15years old now
7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?
Answer:
81 Cups of Pretzels and 40.5 Cups of M&M's
Step-by-step explanation:
p= Pretzels
m= M&M;s
3p+1.5m= 1
3(27)+ 1.5(27)
81 + 40.5
To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18
Answer:
Step-by-step explanation:
CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed
Answer:
y= (0, .7)
x= (-1.2, 0)
Step-by-step explanation:
r u taking a test?
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month
Answer:
0.982
Step-by-step explanation:
Given that:
Mean (μ) = 2325
Standard deviation (σ) = 270
From the central limit theorem ; the Distribution of 50 sample means will be normally distributed
Finding the mean to be at least $2245 per month;
x = 2245
Using the Z score relation :
Zscore = (x - μ) / (σ/√n)
Zscore = (2245 - 2325) / (270/√50)
Zscore = - 80 / 38.183766
ZSCORE = - 2.0951312
= - 2.1
P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).
Is 17/5 + square root of 64 greater than 8 + pi?
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110
Answer:15x+35=110
Step-by-step explanation:
8.032×10^-4 in standard form
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
HELP PLEASE !!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
Help me please!!..,,
Answer:
A.
Step-by-step explanation:
1.5 x 0.1 = 0.15
0.15 inches
Dont know if this is for sure right. Hope it is.
PLEASE HELP ASAP
can you help me please
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?
use a tape diagram by reading it backward, draw a tape diagram and label it unknown.
Answer:
She needs 12 cups of flour to make bread
Step-by-step explanation:
9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!
How is 5 represented in 6.75
Answer:
5 is in the hundreths place :))
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.
Which shows another way to write 9.54?
O 0.5 + 0.04
O 9+ 0.4 + 0.05
O (9 * 1) + (5 x 0.1) + (4 x 0.01)
O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)
Answer:
It would be C
Step-by-step explanation:
what is the value of x,if x=9-9/4
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
A mug is 3/7 full. The mug contains 1/2 cup of water. Find the capacity of the mug
Answer:
7/6 cups of water is the mug's capacity
Step-by-step explanation:
Capacity refers to how much a container can contain.
Let x be the capacity of the mug.
According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.
It was further stated that the mug contains 1/2cup of water. This means that:
1/2 cup of water = 3x/7 of water in the mug
Hence;
1/2 = 3x/7
3x × 2 = 7 × 1
6x = 7
x = 7/6
Therefore, the capacity of that mug is 7/6 cups of water.
The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup
CapacityGiven:
Quantity of the mug = 1/2 cuplet
x = full capacity of the mugWater in the mug = 3/7 of x
= 3/7x
Note:
Water in the mug = 1/2 cup
So,
3/7x = 1/2
divide both sides by 3/7x = 1/2 ÷ 3/7
= 1/2 × 7/3
= 7/6
Therefore, the full capacity of the mug is 7/6 cup
Learn more about fraction:
https://brainly.com/question/2929160
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
How do you solve this? Without going into anything to complicated as this should be Year 10 maths
Given : ABCD is a square with each side 5cm .
To Find : The area of the shaded region .
Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .
If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.
Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;
[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]
Here radius will be equal to 5cm .
⇒ Area = πr² / 4 .
⇒ Area = π (5cm)² / 4 .
⇒ Area = 22/7 × 25 × 4 cm².
⇒ Area = 19.64 cm² .
So , total area of both quadrants = 39.28 cm² .
Also , area of square will be :
[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]
⇒ Area = 5cm × 5cm .
⇒ Area = 25 cm².
Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².
Similarly area of other white region = 5.36cm² .
And the areas sum will be = 5.36cm² × 2 = 10.72cm² .
Now , from the figure it's clear that ,
⇒ Area of unshaded region + Area of shaded region = 25cm².
⇒ 10.72cm² + ar( Shaded region ) = 25cm².
⇒ ar ( Shaded region ) = 25cm² - 10.72cm².
⇒ ar ( Shaded region ) = 14.28 cm².
Hence the area of shaded region is 14.28 cm².
[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
HELP WITH MATH!!! 20 points
the questions are solving systems by substitution
Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3
#1. 2x-3y=-1 and y=x-1
#2. y=6x-11 and -2x-3y=-7
#3. y=-3x+5 and 5x-4y=-3
Which graph represents a function?
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.