Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
The following are the ages (years) of 5 people in a room: 23, 15, 17,23, 23 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
13 years
Step-by-step explanation:
17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2
Mean before was 20.2
In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19
114 / 6 = 19
114-101 = 13 is that number
17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19
factorise a)2x+8 b)3x-12 c)6x+4 d) 18x-9
What is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.
Answer:
4
Step-by-step explanation:
36/9=4
Answer:
4
Step-by-step explanation: division
Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it
Answer:
c^6
Step-by-step explanation:
So, c is the same as c^ 1 ... therefore
c^5 x c
= c^5 x c^1
When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1
So c^5 x c^1
= c^(5+1)
= c^6
This is the simplest form
Answer: c⁶
Step-by-step explanation:
Notes: A variable without a given exponent has an "invisible" exponent of 1.
When multiplying two values with the same base, add the exponents.
[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]
a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?
Answer:
The y-intercept b = 9/2
Step-by-step explanation:
A line has equation x + 4y = 8 or y = (-1/4)x + 2
=> The slope of this line is -1/4
Another line y = ax + b has the slope a = -1/4 and passes (6, 3)
=> 3 = (-1/4)*6 + b
=> 3 = -3/2 + b
=> b = 9/2
=> The y-intercept b = 9/2
Answer: y-intercept = 2
Step-by-step explanation:
Slope-Intercept form of an equation is: y = mx + b where
m = slopeb = y-interceptx + 4y = 8
4y = -x + 8
[tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]
[tex]y=-\dfrac{1}{4}x+2[/tex]
The y-intercept (b) = 2
I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.
y = mx + b
3 = m(6) + 2
1 = 6m
[tex]\dfrac{1}{6}=m[/tex]
Equation: [tex]y=\dfrac{1}{6}x+2[/tex]
a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path.
Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?
Select the correct choice below and fill in the answer box to complete your choice
A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is
(Simplify your answer. Do not include the $ symbol in your answer)
B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist
(Simplify your answer. Do not include the 5 symbol in your answer.)
minutes can be rented for $26
(Round to the nearest minute as needed)
A linear model
reasonable for this situation
Answer:
(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t +8
The time that can be rented for $26 = 1min
Step-by-step explanation:
Based on the information given:
Setup charge on Rent at local copy center = $9
an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.
For every 5min = $150
For 1 min = $150/5
For t min = 150t/5
Where t = number of minutes of rental time
Rental cost = set up charge + additional cost
Let Rental cost = R(t)
R(t) = 9 + 150t/5
Writing it in form of a linear equation: y = mx + c
R(t) = 150t/5 +9
R(t) = (150/5) ×t + 9
R(t) = 30t + 9
The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t + 9
The time that can be rented for $26:
Rental cost = $26
R(t) = 30t +9
26 = 30t +9
26-9 = 30t
17 = 30t
t = 17/30 = 0.57
t is approximately = 1min (nearest minute)
The time that can be rented for $26 = 1min
Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
Answer:
2378
Step-by-step explanation:
it is even. plus 8 is a multiple of 2
Answer:
2738
Step-by-step explanation:
2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.
Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
A car drives at a speed of 90 km/h for 2 hours and 20 minutes.
How far does the car drive?
Answer:
210 KM
Step-by-step explanation:
first 20minutes is 1/3 of an hour
20/60=1/3 hour
how far does the car drive =time *speed
=2 1/3 hour *90= 210 km
i wiil be happy if you mark me as brainliest
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.
Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
−12 − (−25) + 8
plzz helpp im not sure is it 21??
Answer:
21
Step-by-step explanation:
−12 − (−25) + 8
Subtracting a negative is like adding
-12 +25+8
First do -12 +25 25-12 = 13 Replace in the equation
13+8
21
Answer:
Yes, the answer is
[tex]21[/tex]
Step-by-step explanation:
we know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
Now let's solve the problem,
[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
rationalize the denominator of 5√3+3√5 ÷ 5√3+3√5
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]\frac{5\sqrt{3}+3\sqrt{5} }{5\sqrt{3}+3\sqrt{5} }[/tex]
[tex]=1[/tex]
Please help! Correct answer only please! I need to finish this assignment by today.
City Donuts recently sold 12 donuts, of which 6 were maple donuts. What is the experimental probability that the next donut sold will be a maple donut?
Simplify your answer and write it as a fraction or whole number.
P(maple donut) =
Answer:
1/2
Step-by-step explanation:
Out of a total 12 donuts, 6 of them are maple. Assuming this ratio stays constant, the experimental probability that the next one sold is a maple donut is 6/12=1/2. Hope this helps!
Answer:
P(maple donut) = 0.5
Step-by-step explanation:
If they sold 12 donuts, of which 6 of them were Maple Donuts.
The experimental probability of donuts sold that were maple donuts is:
[tex]\frac{6}{12}=\frac{1}{2}=0.5[/tex]
Therefore donuts sold in the future, would follow this probability, so our answer is 0.5.
Extra point hereWhich metric unit would be best to measure the diameter of a pencil?
Answer:
The millimeter.
Step-by-step explanation:
The best choice here is the millimeter (mm).
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.2601
Step-by-step explanation:
There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.
There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.
So, the probability of interest is ...
252/969 ≈ 0.2601
_____
nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n
Sam is buying presents for his family.
He buys a bracelet for his wife for $50. He
buys a game for his son, and the same game
for his daughter. He spends a total of $72.
How much does one game cost?
Answer:
$ 11
Step-by-step explanation:
A game costs $ x.
Two games costs 2x.
50 + 2x = 72
2x = 72 - 50
2x = 22
x = 11
Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile? Can you divide zero into 2 equal parts?
Answer:
no
Step-by-step explanation:
you cannot divide zero into two equal parts because there is nothing there to start. Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.
Answer: No because 0 means nothing and you can't divide nothing among something so that is like undefined.
Step-by-step explanation:
What is the name of this shape?
Please help!
Answer:
It is an isosceles triangle
Step-by-step explanation:
because there are 2 straight lines
Write down the order of rotational symmetry of the shape.
Answer:
the order of rotational symmetry of the shape is 2
Given the function ƒ(x) = 8x^2 − 14x − 10, find ƒ(−2). A) ƒ(−2) = 50 B) ƒ(−2) = 60 C) ƒ(−2) = −6 D) ƒ(−2) = −70
Answer:
50
Step-by-step explanation:
f(x) = 8x² - 14x - 10
f(-2) = 8(-2)² - 14(-2) -10
f(-2) 8*4 + 28 - 10
f(-2) = 32 + 28 - 10 = 50
Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
According to survey records, 75.4% of women aged 20-24 have never been married. In a random sample of 25 young women aged 20-24, find the mean, variance and standard deviation for the number who are or who have been married.
Answer:
mean = 6.15
variance = 4.637
standard deviation = 2.15
Step-by-step explanation:
It is given that 75.4% of women aged 20-24 have never been married.
We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.
So the percentile of women who have been married is given by
[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]
The mean is given by
[tex]mean = n\times p[/tex]
Where n is the sample size
[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]
Therefore, the mean is 6.15
The variance is given by
[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]
Therefore, the variance is 4.637
The standard deviation is given by
[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]
Therefore, the standard deviation is 2.15
Suppose the manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 24%. Based on a random sample of 300 customers, what is the standard error for the sampling distribution of the sample proportion of tea drinkers?
Answer:
0.427
Step-by-step explanation:
Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size
The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.
Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]
Fully Factorise 5D^2+11d
Answer:
d × (5d + 11)
Step-by-step explanation:
5d² + 11d
Factor out d from the expression
When d is factored out;
5d² becomes 5d
11d becomes 11
And d multiplies it all;
d × (5d + 11)
3(a-2/3)= 3/4a+2 1/4
Steps:
Step 1: Simplify both sides of the equation.
3(a−2/3)=3/4a+21/4
(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)
3a+−2=34a+2143a−2=3/4a+21/4
3a+−2=34a+2143a−2=3/4a+21/4
Step 2: Subtract 3/4a from both sides.
3a−2−3/4a=3/4a+21/4−3/4a
9/4a−2=21/4
Step 3: Add 2 to both sides.
9/4a−2+2=21/4+2
9/4a=29/4
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4a)=(4/9)*(29/4)
Answer:
A=29/9
Please mark me brainliest
Hope this helps.
(6x?+ 5) - (4x - 3)
A. 6x2 - 4x + 2
B. 2x2 + 2
C. 2x2 + 8
O D. 6x2 - 4x + 8
Answer:
6x^2 -4x +8
Step-by-step explanation:
(6x^2+ 5) - (4x - 3)
Distribute the minus sign
(6x^2+ 5) - 4x + 3
Combine like terms
6x^2 -4x +8
Answer:
Step-by-step explanation:
C
Triangle XYZ has vertices X(-6, 3), Y(4,5), and Z(-2,-1).
View
f Step-by
Part 1 out of 3
Find the vertices of triangle X'Y'Z' after a translation of 9 units to the right.
Video T
The vertices are X
and Z
Pls I don’t get this !!!!
Answer:
see explanation
Step-by-step explanation:
A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus
X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )
Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )
Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )
