The first mistake in Maria's solution is seen in between Step 1 and Step 2
Given that Maria solved math homework problem incorrectly
the steps of the procedure followed by Maria is given as follows
Given 7(3x + 4 + x) - 4x + 8
Step 1: 7(4x + 4) - 4x + 8
Step 2: 28x + 4- 4x + 8
Step 3: 28x - 4x + 4 + 8
Step 4: 24x + 12
According to the given expression we can write the solution in the following steps
[tex]\rm Given \; \; 7(3x +4+x) -4x +8 \\ Step\; 1 :\; \; 7(4x +4) -4x +8 \\Step\; 2 : \; \; 28x+28 -4x +8 \\Step \; 3 :\; \; 24x + 28 + 8 \\Step\; 4 : \; \; 24x + 36[/tex]
On comparing with given steps of the question we can clearly say that the first mistake in Maria's solution is seen in between Step 1 and Step 2
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Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.
Answer:
4:7
Step-by-step explanation:
The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.
A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?
Enter your answer as a fraction.
Male Female Total
Orange 12 50 62
Green 5 73 78
Total 17 123 140
Provide your answer below:
$$
Answer:
1/28
Step-by-step explanation:
The probability that a male student picks green is 5 / 17
The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.
The probability that a male picks green is:
= Number of males who prefer green / Number of males in total
There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:
= 5 / 17
In conclusion, the probability that a male picks green is 5 / 17.
Find out more at https://brainly.com/question/14682217.
A bus left Lagos on Monday at 6.30a.m. and arrived Kaduna on Tuesday at 3.00p.m. How long did the journey take?
Answer:
8 hours and 30 minutes
Step-by-step explanation:
well 6:30am monday to 6:30am tuesday would be 24 hours
plus 9 hours until 3:30pm
then subtract 30 minutes to have 3:00
so 8 1/2 hours
A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 329 miles her hour.
A shirt regularly costs $14, but is on sale for 10% off. Sales tax is 6%. What is the cost of the shirt?
Answer:
13.356
Step-by-step explanation:
10/100 = 1.4
14-1.4 = 12.6
12.6*6% = 13.356
j varies directly with h and u
Answer:
Im sorry in order for us to answer this question you have to use real words and add details to your question and with complete sentences.
Thank You
Evaluate f(x)=5x−8 when x=−3,0, and 4 PLS ANSWER FAST :D
Answer: -23, -8, 12
Step-by-step explanation:
f(x)=5x−8
When x=−3,
f(-3)=5(-3)−8 = -15-8 = -23
When x=0,
f(0)=5(0)−8 = -8
When x=4,
f(4)=5(4)−8 = 20-8=12
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5 minutes, the pizza pan is at 300°F.
(a) At what time is the temperature of the pan 125°F?
(b) Determine the time that needs to elapse before the pan is 150°.
(c) What do you notice about the temperature as time passes?
Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F
Diego has run 4/5 of a race distance. He has run 7 2/3
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answer:
37.7 inches
Step-by-step explanation:
Formula of circumference:
[tex]2\pi r[/tex]
r = radius
In the current case,
radius is 6 inches
Hence,
circumference=
[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]
≅ 37.7 inches
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The diagram shows a regular hexagon and a parallelogram.
х
(112°
Work out the size of the angle marked x.
You must show all your working.
7
a
Total marks: 4
Answer:
52°
Step-by-step explanation:
180-112=68
120-68=52
The size of the angle marked x is 52°.
Given that a hexagon and parallelogram share the same one vertex and the angle of the parallelogram is 112°
To determine the size of the angle marked x by utilizing the properties of a regular hexagon and the given angle of 112°.
A regular hexagon has interior angles measuring 120° each. Since the hexagon is regular, all six interior angles are congruent. We can divide the hexagon into six equal triangles, each having an angle of 120°.
In parallelogram, the opposite angles are congruent and the sum of adjacent angles is 180°.
The parallelogram adjacent to the hexagon shares the same vertex as the hexagon's interior angle.
Let the angle adjacent to 112° in parallelogram be a and a is adjacent to angle x in hexagon,
By using parallelogram property gives,
a + 112° = 180°
Subtract 112° from both the sides, gives,
a = 68°
x and a form one angle of the hexagon which is equal to 120° gives,
x + a = 120°
Substitute the value of a = 68° in the above equation
x+ 68° = 120°
Subtract 68° from both the sides, gives,
x = 52°
Hence, the size of the angle marked x is 52°.
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Molly and Melissa swam laps during practice.
• Together they swam 25 laps.
Melissa swam 5 more than 3 times as much as Molly.
Write an equation for this situation. Use a variable to represent the number of laps for Molly
How many laps did Molly swim?
When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the Type II Error? ( Select the one, correct letter option below) :
Answer:
Not to conclude that the drug is safe, when, in fact, it is safe.
Step-by-step explanation:
A type ii error is an error that occurs in a hypothesis testing when a person goes ahead to accept a null hypothesis when it is actually false and should be rejected.
To continue, here are the hypothesis:
H0: the drug is unsafe
H1: drug is safe.
A type ii error was committed here because H0, which is the null was accepted and it was concluded that the drug was unsafe, When in fact it should have been rejected. The conclusion should have been that the drug was safe.
2)
a
b
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
Answer:
A.
Step-by-step explanation:
Complementary, since they form a 90 degree angle
Hope that helps!
g A visit to a hospital emergency room for something as simple as a sore throat could have a mean cost of $328. Assume that this cost is normally distributed with a standard deviation of $82. If you want to be in the bottom 50%, what will be the cut-off dollar amount
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
help me pleaseeeee !
Answer:
81 Degrees
Step-by-step explanation:
The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81
So the answer is 81 degrees.
PLEASE NO LINKS I REALLY NEED HELP
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each exponential equation to its percent rate of change.
40% growth
80% decay
40% decay
20% growth
20% decay
60% growth
60% decay
80% growth
60(0.8)t = 1.4
arrowRight
1.2(1.4)t = 80
arrowRight
40(0.2)t = 1.6
arrowRight
20(0.6)t = 1.2
arrowRight
80(1.6)t = 20
arrowRight
9514 1404 393
Answer:
20% decay40% growth80% decay40% decay60% growthStep-by-step explanation:
The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.
For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.
__
Here, we'll list the growth factor and the rate of change:
growth factor ⇒ rate of change
0.8 ⇒ 20% decay
1.4 ⇒ 40% growth
0.2 ⇒ 80% decay
0.6 ⇒ 40% decay
1.6 ⇒ 60% growth
find-5/6÷(-1/2) write the answer in the lowest terms.
(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: √13, 6, 7
Triangle 2: 7, 8, 13
Triangle 3: 10, 11, 12
Triangle 4: √10, 9, 8
what is the approximate simple interest earned on $2460 if it is invested at 5.25% for 3 1/2 years
A. $452
B. $387
C. $369
D. $129
Answer:
i think its c im not sure
Step-by-step explanation:
9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16
Answer:
h s m s dhoni bold sin men farhan akhtar ne
Pls helpp It is due today
Answer:
$13.75
Step-by-step explanation:
d= 9.75
43 - 3(9.75) = 13.75
What are the solutions of x^2-12x+27
Answer:
it will be (x-9)(x-3)
Step-by-step explanation:
hope this helped
find the product and sum of the equation which will be 27 and -12 respectively
then we find common factors -3 and -9
we substitute
finally our anwers will be x+9 and x-3
Need help on this please
Answer:
64 pi
Step-by-step explanation:
Area of a circle is pi(r) ^ 2
The radius is half the diameter, so it would be 8 mi.
Pi ( 8 ) ^ 2
Pi ( 64 )
It would be 64 pi
Convert 90 mins to hours full working plz
Answer:
1 hour is 60 min so
90 min = 1 hour and 30 min
or 1.5 hours
If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.
Write the fraction as a decimal 1/2
Answer:
The answer is 0.5
Section B
Solve the word problems.
1
During a Science workshop, 685 people attended it on the first day
On the second day, there were 3 times as many people as on the
(a) How many people attended the workshop on the second do
(b) Each person had to pay $8 to attend the workshop
What was the total amount collected for the two days?
685
Which of the points shown below are on the line given by the equation y = 4x?
Check all that apply.
Answer:
its B and C
Step-by-step explanation:
