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
Please Help thank you I appreciate it
Answer:
48in sq
Step-by-step explanation:
8*12/2=8*6=48
Answer:
48in
Step-by-step explanation:
A triangle like this is like half of a rectangle. The rest fits in the upper left and right. So to find the area of the triangle, we're going to start be pretending it's a recrangle.
Our rectangle is 12 by 8.
12 x 8 = 96
If this were a rectangle, the area would be 96in.
Since it's a triangle and that's only half of a rectangle, the area is half of that.
96 / 2 = 48
The area of this triangle is 48in.
Given the drawing as shown below and that p || a, which of the following cannot be supported by the evidence shown?
A -
B -
C -
D -
Answer:
D. <b ≅ <g
Step-by-step explanation:
Given that lines p and q are parallel to each other, therefore the following can be concluded:
✔️<f ≅ <h, this is because they are both Vertical angles.
✔️<d and <h are supplematry, this is because they are same side consecutive interior angles. Consecutive angles are supplematry.
✔️<a and <b are supplematry, this is because they are linear pair angles.
✔️<b cannot be congruent to <g. They are not corresponding angles, nor are they alternate interior angles.
BRAINLIST ASAP
When marcus started school at 5 years old, his parents put $9,050 into a college fund account that earned 7.5% interest. What is the total amount in the account when he starts college at 18 years old? ____
Answer: 17873.75 dollars
Step-by-step explanation:
We can use the equation: l = p x r x t (Total Interest = principal x interest rate x years/time)
9050 will be the principal; it's the amount you deposit in the first place.
7.5% is the interest rate. You can convert it to 0.075 as a decimal.
13 is the years/time. If Marcus's parents put the college fund in when he was 5 and now he's 18, there has been 13 years in between.
9050 x 0.075 x 13 = 8823.75
8823.75 + 9050 = $17873.75
So in Conclusion, the total amount in the account when Marcus is 18 is 17873.75 dollars.
Hope this helps!
I need help with this!!
Answer:
14 burgers
Step-by-step explanation:
3 1/2 ÷ 1/4 = 14
Sarah read 64 1/2 pages of her book in 6 hours. What is the average number of pages that Sarah reads per hour?
Answer:
We conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour
Step-by-step explanation:
Given
Number of pages Sarah read [tex]=64\frac{1}{2}=\frac{129}{2} = 64.5[/tex]Number of hours Sarah spent = 6 hoursThe average number of pages per hour can be calculated by simply dividing the total number of pages i.e. 64.5 pages by the number of hours spent on reading i.e. 6 hours.
Thus,
Average number of pages per hour = 64.5 pages / 6 hours
= 10.75 page per hour
Therefore, we conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour
In triangle ABC shown below, point A is at (0,0)
point B is at (x subscript2, 0)
point C is ([x sub1]/ 2, [y sub1]/2
point D is [x sub1 + xsub2]/2, ysub1/2)
Prove that segment DE is parallel to segment AB.
Answer:
Proof below
Step-by-step explanation:
To prove DE and AB are parallel, we compare the slopes of both segments
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Segment AB goes through the points (0,0) and (x2,0), thus:
[tex]\displaystyle m_{AB}=\frac{0-0}{x_2-0}=0[/tex]
The slope is 0 because the line is horizontal.
Now for the segment DE, the endpoints are
[tex]\displaystyle (\frac{x_1}{2},\frac{y_1}{2}),\ (\frac{x_1+x_2}{2},\frac{y_1}{2})[/tex]
The slope is:
[tex]\displaystyle m_{DE}=\frac{\frac{y_1}{2}-\frac{y_1}{2}}{\frac{x_1+x_2}{2}-\frac{x_1}{2}}[/tex]
[tex]\displaystyle m_{DE}=\frac{0}{\frac{x_2}{2}}=0[/tex]
Segment DE is also horizontal, thus is parallel to segment AB.
ostulate
Point D is on segment BC. Segment BC measures 8x units in length.
A line has points C, D, B. The length of line C D is 3 x + 8. The length of line D B is 4 x + 10.
What is the length of segment BC?
Answer:
144Step-by-step explanation:
If point D is on BC, then BD + DC = BC
Given
BC = 8x
CD = 3x + 8
BD = 4x + 10
Substitute and get x
8x = 3x+8 + 4x + 10
9X - 7X = 18
x = 18
Get BCBC = 8x
BC = 8(18)
BC = 144
Hence the length of segment BC is 144
Answer:
144
Step-by-step explanation:
I just had this assignment on edge 2021. Hope this helped :)
I need help plssssss.....
Which operation is NOT closed for polynomials?
es )
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial
multiply a binomial by a binomial
D)
subtract a binomial from a trinomial
Answer:
B)
divide a binomial by a trinomial
Step-by-step explanation:
As we know that the polynomials are very closed to the addition, subtraction and the multiplication but the same cannot be happen under the division as the division of two polynomials could not become a polynomial it is not necessary
Now if we divide the binomial from a trinomial so it would give a rational expression and contain a negative exponent and negative exponent is not allowed under the same
Therefore the option B is correct
A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. Write a rule to describe the function. After how many days will the zucchini plant be 0.185 meter tall?
Answer:
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = 7.5/10
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded mean nicotine content of milligrams and standard deviation of milligrams for a sample of cigarettes. Construct a % confidence interval for the mean nicotine content of this brand of cigarette.
Answer:.
Step-by-step explanation:.
Complete the statement with the appropriate symbol.
1.42 _____ 1.420
=
>
Answer:
=
Step-by-step explanation:
After the decimal point if the zeros are on the right side they do not have any value.
Answer: = because 0 has no value
Complete the statement with the appropriate symbol.
1.42 ___=__ 1.420
>
<
=
Step-by-step explanation: = because the 0 has no value.
-4(x+6)-2(-3x-9) simplify
Answer:
-4x-24+6x+18
Step-by-step explanation:
Find the prime factorization of 100. Show all of your work and write your answer using exponents.
this is the ans ..............................
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent plz solve it step by step
Answer:
i'm not sure but i think the answer is 5%
Step-by-step explanation:
the number five is where the percentage sign is
A class has average height of 68 inches and a standard division of 2 inches what height do you need to be taller than 90% of the class please round your answer to the nearest thousandth.
Answer:
65.426
Step-by-step explanation:
Given that:
Mean height (m) = 68 inches
Standard deviation (s) = 2 inches
Height required to be taller than 90% of the class :
P(Z > x) = 0.9
The corresponding Zscore is - 1.282 (Z probability calculator)
Using the Zscore relation :
Zscore = (x - m) / s
-1.282 = (x - 68) / 2
-1.282 * 2 = x - 68
-2.564 = x - 68
-2.564 + 68 = x
x = 65.436
A football team loses 7 yards on each of 2 consecutive plays. Find the total change in yards from where the team started.
Determine the largest integer value of x in the solution of the following inequality.
3x+9 < -13
Answer:
-7
Step-by-step explanation:
slove for x
(6x+4)+81+41
Number of doctors and lawyers asked whether they prefer to watch medical dramas or court dramas on TV according to the table below the percent of a lawyer surveyed preferred medical dramas
Answer:
Although doctor-centric dramas can be entertaining, they're usually filled with a number of inaccurate portrayals of the medical field.
To see where which popular shows get the details right and which ones are loaded with problems, Insider consulted with real doctors and nurses.
Here's how the experts really feel about popular medical shows.
Note: The Entertainment Value and Medical Accuracy scores on each slide are the averages of the scores (out of 10) that the experts provided for each show.
Step-by-step explanation:
please mark me as brainlest answer hope this helps
HELPPPP!!!!
Find the Unit Rate (How much will it cost for 1 candy cane) if it cost $4.79 for 35
candy canes. Explain how you found your answer. *
i need the answer please !!
-4x+3y=-2
y=x-1
x=
y=
Answer:
Easy thankyou for coming to me your answer is x= -1 and y=-2
Step-by-step explanation:
Hope that help.
Answer:
Step-by-step explanation:
here you go mate'
step 1
-4x+3y=-2,y=x-1 equation
step 2
y=x-1;-4x+3y=-2 rewrite the equation
step 3
y=x-1 1st equation
step 4
-4x+3y=-2 saubstitute
-4x+3(x-1)=-2
-x-3=-2
step 5
-x-3=-2 simplify by adding 3 to both sides
-x=1
step 6
-x/-1=1/-1 divide
x=-1
second equation
step 1
y=x-1 substitute
y=-1-1
step 2
y=-1-1 simplify
y=-2
answer
x=-1 and y=-2
A salesperson works 40 hours per week at a job where she has two options for being paid. Option
A is an hourly wage of $22. Option B is a commission rate of 10% on weekly sales. How much
does she need to sell this week to earn the same amount with the two options?
Answer:
the weekly sales are $8,800 to earn the similar amount with the two options
Step-by-step explanation:
The computation is shown below:
The earnings in option A is
= 40 hours × $22
= $880
Now let us assume the weekly sales be x
So the equation would be
10%x = $880
0.10x = $880
x = $8,800
Hence, the weekly sales are $8,800 to earn a similar amount with the two options
HELPP PLEASE ILL NAME YOU BRAINLIEST!!!
An electrician charges a $100 flat fee, plus $75 per hour to work on a house.
Answer:
y=75x+100
Step-by-step explanation:
Susan can solve 8 math problems in 20 minutes while Betsy can solve the same 8 math problems at a rate of 1 problem per 5 minutes. Who works faster? Show your work.
A car is traveling at a rate of 41 miles per hour. At this rate, how many miles will the car will travel in 30 minutes? Pls it will make my christmas
Answer:
41/2=20.5
Step-by-step explanation:
If F(x)= logx, which statement best describes the transformation (0.5(x-3)) + 12
There are 15 applicants for four jobs : Computer Programmer , Software Tester , Manager , and Systems Engineer
IS THIS A PERMUTATION OR COMBINATION ?
Answer:
it Permutation 32760
Step-by-step explanation:
it permutation because the order is matter
15p4=32760
This is the case of a combination and the possibility of arrangement is 1365.
What is the combination?The combination is the process of choosing items or things from a bigger group where the order is irrelevant. The combination formula aids in determining the number of possible combinations that can be created by selecting a portion of a bigger set of objects.
Given There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.
From the difference between permutation and combination:
A permutation is a method of arranging all the members in order. The combination is a selection of elements from a collection.
Since the order is not asked thus this is the case of a combination
and total arranging possibility = ⁿCₓ
total arranging possibility = ¹⁵C₄
total arranging possibility = 15! /( 11! * 41)
total arranging possibility = 1365
therefore, This is a combination case, and the number of possible arrangements is 1365.
Learn more about combination here:
https://brainly.com/question/17512033
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An athlete's target heart rate, in beats per minute, is $80\%$ of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from 220. To the nearest whole number, what is the target heart rate of an athlete who is 26 years old
Answer:
155
Step-by-step explanation:
Since the question states that;
Maximum heart rate= 220 - athletes age
If athletes age = 26 years
Maximum heart rate= 220 - 26 = 194
Again;
athlete's target heart rate= 80% × Maximum heart rate
Athlete's target heart rate= 0.8 × 194= 155