Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation
Answer:
The linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
Step-by-step explanation:
Let 'b' represents the numbers of cakes David bakes in minutes.
Let 'a' represents the time David takes to make 12 cakes
As Dave bakes 12 cakes in 3 minutes.
unit rate = 12/3 = 4 cakes / per minute
The unit rate can also be treated as a slope as it is just representing the rate of change.Thus, the linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
VERIFICATION
if a = 3 minuts
then
b = 4(3) = 12 cakes
and
if a = 2 minutes
then
b = 4(2) = 8 cakes
and
if a = 1 minute
then
b = 4(1) = 4 cakes
Thus, the required equation is:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
Hopefully you guys can see this. This is the 2nd part to my 1st question. The picture with the colored shapes is the 1st part which was already answered gratefully. You can use that picture to help you answer this.
I’ll be giving out a lot points for this as well as Brainliest to whoever answers correctly.
Thank you in advance and take your time.
Answer:
what are the rods? Are they the same ones as used in the diagram
Step-by-step explanation:
help me please......
Answer:
I was told it was D
Step-by-step explanation:
True or false? Help me out
Answer:
False, becasue 8*1/2 is 4 and 4 doesn't equal 16
Step-by-step explanation:
Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green eyes is _______.
Answer:
P(X is less than 348) = 0.2148
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.3
Sample size = 1200
Let X be the random variable that obeys a binomial distribution. Then;
[tex]X \sim Bin(n = 1200,p =0.3)[/tex]
The Binomial can be approximated to normal with:
[tex]\mu = np = 1200 \times 0.3 \\ \\ \mu= 360[/tex]
[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875[/tex]
To find:
P(X< 348)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5
Normal distribution:
x = 347.5, [tex]\mu[/tex] = 360, [tex]\sigma[/tex] = 15.875
Using the z test statistics;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{347.5 - 360}{15.875}[/tex]
[tex]z = \dfrac{-12.50}{15.875}[/tex]
z = -0.7874
z ≅ - 0.79
The p-value for P(X<347.5) = P(Z < -0.79)
From the z tables;
P(X<347.5) = 0.2148
Thus;
P(X is less than 348) = 0.2148
In the figure below, Triangle FGH and Triangle JKHare right triangles.
15
12
What is the length of segment KH?
Answer:
5
Step-by-step explanation:
∆FGH is similar to ∆JKH. Therefore, their corresponding lengths are proportional to one another. Thus:
[tex] \frac{GH}{KH} = \frac{FH}{JH} [/tex]
GH = x + 15
KH = x
FH = 12 + 4 = 16
JH = 4
Plug in the values
[tex] \frac{x + 15}{x} = \frac{16}{4} [/tex]
Cross multiply
[tex] (x + 15) \times 4 = 16 \times x [/tex]
[tex] 4x + 60 = 16x [/tex]
Subtract 4x from each side
[tex] 60 = 16x - 4x [/tex]
[tex] 60 = 12x [/tex]
Divide both sides by 12
x = 5
KH = x = 5
Any help please I appreciate it thank you
Answer:
20 feet
Step-by-step explanation:
Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.
To find perimeter, we need to add up all the sides.
Because it's a square each side has the same length.
There are 4 sides.
5 x 4 = 20
or 5 + 5 + 5 + 5 = 20
The perimeter is 20 feet
The list shows the number of miles six people drove in a month .
445, 380, 365, 375, 370, 315
What is the mean absolute deviation of these numbers ?
Kylie drove 406 miles in 7 hours. If she continued at the same rate, how far would she travel in 19 hours?
Answer:
1,102
Step-by-step explanation
406/7=56 (unit rate)
56*19=1102
Answer:
The answer is 1,102
Step-by-step explanation:
First, we need to figure out how much per hour.
406 divided by 7 = 58
Now we multiply by the hours
58 x 19 = 1,102
#LearnWithBrainly
Which list the students in order greatest distance from school to least distance 1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie
Answer: Katie, Josie, Ramona, Teri
Step-by-step explanation:
Answer:
1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie
Step-by-step explanation:
Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).
Answer:
A) A and B are independent events because P(A∣B) = P(A).
Step-by-step explanation:
Egde 2020
Answer: OPTION A
Step-by-step explanation:
A store has 300 televisions on order, and 40% are high definition. How many televisions on order are high definition? You may find the bar model useful in completing this problem.
Answer:
120
Step-by-step explanation:
There are 120 high definition televisions are in Order.
What is Percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
Here,
Total television = 300
Percentage of High definition television = 40%
Number of total high definition television = 40/100 X 300
= 40 X 3
= 120
Thus, There are 120 high definition televisions are in Order.
Learn more about Percentage from:
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help!!!!
Which of the following is a common denominator for 1/4 and 1/6?
6
10
18
24
Answer:
24
Step-by-step explanation:
Just multiply the two denominators 4 and 6. 4x6=24 so the answer is 24.
The lines P an Q intersect at point O. What is the value of x?
Answer:
17
Step-by-step explanation:
you add the b and x coordinate divide it by 2 to get the value of p and q which you then divide by the value of ur mom to get x
i will give you brainliest and give you 50 point if you help me
Answer:
10:16
Step-by-step explanation:
If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.
(BTW I LOVE UR BAKUGOU PFP)
Answer:
the answer will be 10:16
Step-by-step explanation:
Which expression is equivalent to
2.2
−
2.5
2.2−2.5?
A
2.5−2.22.5−2.2
B
2.2+2.52.2+2.5
C
2.2+(−2.5)2.2+(
−
2.5)
D
2.2−(−2.5)2.2−(
−
2.5)
Answer:
The answer is = A
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
Best answer gets brainiest. Ariel hiked to a famous point with a beautiful view. It took 2 hours and 20 minutes to hike to the viewpoint and 55 minutes to hike back. Ariel spent 1 hour and 40 minutes enjoying the view at the top. She finished the hike at 2:55 P.M. What time did Ariel start the hike to the viewpoint?
Include A.M. or P.M. in your answer.
Answer:
10: 00 AM
Step-by-step explanation:
2 hr 20 minutes +55 min= 3 hours 15 minutes
3. 15+ 1 hr 40 min= 4 55 min
2: 55 pm- 4 hours and 55 minutes= 10 am
Answer:
Ariel starts hiking at 10:00am
Step-by-step explanation:
2hr 20min
+ 55min
+ 1hr 40min
————————
4hr 55min total time spent hiking.
14:55 - 4hr 55min = 10:00
2:55 pm - 4hr 55min = 10:00am
In a study investigating a link between walking and improved health, researchers reported that adults walked an average of minutes in the past month for the purpose of health or recreation. Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is than minutes.
Complete question is;
In a study investigating a link between walking and improved health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.
Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes
Answer:
Null Hypothesis: H0: μ = 873
Alternative hypothesis: Ha: μ < 873
Step-by-step explanation:
From the study, the claim is that the true average number of minutes gotten from the population average in the past month that the adults had walked for the purpose of health or recreation is lower than the average of 873 minutes.
Now, the population study says it's equal to 873 minutes.
Thus, the hypotheses can be written as;
Null Hypothesis: H0: μ = 873
Alternative hypothesis: Ha: μ < 873
(((95*26)-470)-470)/16)-35
Answer:
Its either 60.625 or 90
Step-by-step explanation:
((2470 - 470)/16) - 35
(2000/16) - 35
125 - 35
90
90 is true if you made a mistake in adding two 470's, but if this is the actual equation, it is 60.625
(or when you follow the order of the numbers it becomes the 61 number)
1. If x=3-√3,
prove that x²
+36
x²
= x²
Answer:
we get [tex]x^2=12-6\sqrt{3}[/tex]
Step-by-step explanation:
We are given: [tex]x=3-\sqrt{3}[/tex]
We need to find [tex]x^2[/tex]
Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]
Solving:
[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]
We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]
Using formula and simplifying
[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]
So, we get [tex]x^2=12-6\sqrt{3}[/tex]
what is 1 and 5/32 as a decimal
Answer:
1 5/32 is equal to 1.15625 in decimal form.
Step-by-step explanation:
Hope this helped, Have a Great Day!!
1 and 5/32 is equivalent to 1.15625 as a decimal.
To convert the mixed number 1 and 5/32 to a decimal, you need to combine the whole number and the fractional part.
First, you convert the fractional part to a decimal.
The denominator of 32 tells you that there are 32 equal parts in a whole.
To determine the value of 5/32, you divide the numerator (5) by the denominator (32):
5 ÷ 32 = 0.15625
Next, you add the decimal value of the fractional part (0.15625) to the whole number (1):
1 + 0.15625 = 1.15625
Therefore, 1 and 5/32 is equivalent to 1.15625 as a decimal.
Learn more about mixed number click;
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Drew wrote three equations.
32 = ? x4
56 : 7 = ?
?×? = 64
What number will make all of Drew's equations true? Enter your answer in the box.
? =
Answer:
8
Step-by-step explanation:
4*8=32
7*8=56
8*8=64
Dec 4,
PM
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1, 4) and (-9, --6).
Answer:
y = -0.8x - 5
Step-by-step explanation:
x1 = (XA + XB) / 2 = -5
y1 = (YA + YB) / 2 = -1
m = (XA - XB) / (YA - YB) = -0
__________________________________________
(y - -1) = -0.8(x - -5)
y - -1 = -0.8x - 4
y = -0.8x - 4 + -1
y = -0.8x - 5
Help Me PLEASESESESESES!
Answer:
5375 should be it
Step-by-step explanation:
Find the value of y so that the distance between the points (4.7 and 0.6) is equal to 5
Answer:
you now if you wont to find the value you can type distance calculator and see the points
Step-by-step explanation:
West Junior High needs to buy new fencing to go around Evaluate the formula for the perimeter of a rectangle to
its swimming pool. Determine the amount of fencing it will solve the problem. Then check all that apply.
need by finding the perimeter of the pool.
First, write the formula for the perimeter of a
Pool Perimeter
rectangle: P = 21 +2w.
P=21 +2w
Next, use parentheses when you substitute 50 for 1
and 25 for w.
1 = 50 meters
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
w = 25
The school needs 150 meters of fencing.
meters
Answer:
1,2,3, and 5 :]
Step-by-step explanation:
Answer:
1
2
3
5
are the answers edg 2021 hope you have a good day/night
you want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable preliminary estimation for the population proportion. you would like to be 95% confident that you estimate is within 2% of the true population proportion. how large of a sample size is required
Answer:
The value is [tex]n =2401 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 2%= 0.02
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Here we are going to assume that the sample proportion is [tex]\^ p = 0.50[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5 ) [/tex]
=> [tex]n =2401 [/tex]
Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4
Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
Se ha preguntado a un grupo de personas jubiladas el número de veces que han ido al teatro en el
último año. Las respuestas se recogen en esta tabla:
N.º DE VECES 0 1 2 3 4 5
N.º DE PERSONAS 2 20 41 26 9 2
Halla la media y la desviación típica.
Answer:
can please give clear clarification on English
Can Someone help me!
Answer:< IJL= 63°
Step-by-step explanation:
as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°