To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.
Answer:
x = 20
Step-by-step explanation:
3/4x = 15
Abby's calculation:
3/4x = 15
Multiply both sides by 3/4
x = 1114
Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x
Correct calculation:
3/4x = 15
Divide both sides by 3/4
3/4x ÷ 3/4 = 15 ÷ 3/4
x = 15 × 4/3
x = 60/3
x = 20
Check:
3/4x = 15
3/4*20
= (3*20) / 4
= 60/4
= 15
3/4*20 = 15
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 9 students, requires 1 chaperone, and costs $100 to rent. Since there are 756 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 756 students. Since only 70 parents have volunteered to serve as chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
Solve for m.
9m - (6m - 7) = 2 (m - 3)
Answer:
[tex]\boxed{\boxed{\tt m=-13}}[/tex]
Step-by-step explanation:
[tex]\tt 9m-\left(6m-7\right)=2\left(m-3\right)[/tex]
Expand, Apply the Distributive property:
[tex]\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}[/tex]
[tex]\tt 2\left(m-3\right)\leadsto \underline{2m-6}[/tex]
[tex]\star \:\:\tt 3m+7=2m-6[/tex]
Subtract 7 from both sides:
[tex]\star \:\:\tt 3m+7-7=2m-6-7[/tex]
[tex]\star \:\: \tt 3m=2m-13[/tex]
Subtract 2m from both sides:
[tex]\star \:\: \tt 3m-2m=2m-13-2m[/tex]
[tex]\star \:\: \tt m=-13[/tex]
_____________________________I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
Answer:
What're the questions??
Step-by-step explanation:
why did this just now show up for me when it was in 2021 bro
Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
Answer:
19.3 years
Step-by-step explanation:
Given that the initial mass of a sample of Element X is 100 grams,
The formula is given as:
N(t) = No × (1/2) ^t/t½
Element X is a radioactive isotope such that every 30 years, its mass decreases by half.
N(t) = Mass after time (t)
No = Initial mass = 100 grams
t½ = Half life = 30 grams
N(t) = 100 × (1/2) ^t/30
How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?
This means we are to find the time
N(t) = 100 × (1/2) ^t/30
N(t) = 64 grams
64 = 100(1/2)^t/30
Divide both sides by 100
64/100 = 100(1/2)^t/30/100
0.64 = (1/2)^t/30
Take the Log of both sides
log 0.64 = log (1/2)^t/30
log 0.64 = t/30(1/2)
t = 19.315685693242 years
Approximately = 19.3 years
What is the perimeter of the triangle?
Answer:
P = 38
Solution
P=a+b+c=15+8+15 = 38
PLZ GIVE BRAINLIESTTTTT
(x+4)(x-2) as a triomial in standard form
Answer:
x² - 8x + 16 Hope this helps
Step-by-step explanation:
Step 1: Write out expression
(x - 4)²
Step 2: Expand
(x - 4)(x - 4)
Step 3: FOIL
x² - 4x - 4x + 16
Step 4: Combine like terms
x² - 8x + 16
x^2 + 2x - 8
just multiply (x+4)(x-2)
x times x = x^2
x times -2 = -2x
4 times x = 4x
4 times -2 = -8
-2x + 4x = 2x
Which option best shows X < -18
Answer:
A is the best shows your answer
Answer:
B
Step-by-step explanation:
C and D are > and ≥ -18
A shows x < -18, which isn't what the question asks for
Slope from graph Khan academy :
What is the slope of this line?
Answer:
[tex]slope=-3[/tex]
Step-by-step explanation:
[tex]m=\frac{change(y)}{change(x)}[/tex]
Use two points,
(-1,0)(0,-3)
[tex]m=\frac{0-(-3)}{-1-0}[/tex]
[tex]m=\frac{3}{-1}[/tex]
[tex]m=-3[/tex]
Answer:
-3
Step-by-step explanation:
Alguien me ayuda tiene que ser sobre Bosques tropicales secos
Cantidad de especies
Superficie aprovechada
Área en peligro
Answer:
asd
Step-by-step explanation:
asddffffffff
Maisiereceives a weekly paycheck from her boss she spent half of this week paycheck on food and spent and additional 5.00 on a taxi . If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck
Answer:
If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck. 1. See answer.
what is 1+2+3+4+5+6+7+8+9
Answer:
45
Step-by-step explanation:
The answer to 1+2+3+4+5+6+7+8+9 is 45
PLSS HELP ME ITS TIMED ILL MARK BRAINLIEST
Answer:
56 times 52 times 76 divide by 4 = ? times 3 dont forget to add cm cubed at the end
Step-by-step explanation:
The triangles are congruent by the SSS congruence theorem. Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C. Which rigid transformation(s) can map TriangleABC onto TriangleDEC?
Answer:
Reflection, then rotationStep-by-step explanation:
The answer is already included into question:
Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.
Answer:
The correct answer is A
Step-by-step explanation:
reflection, then rotation
ILL MARK BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY
Which One Doesn't Belong? Determine which equation from the four below doesn't belong and justify your answer. Could there be a different answer?
Answer:
what on the planet is the question
find the coordinates of the point where y-4x=1 crosses the y-axis
Answer:
(0, 1)
Step-by-step explanation:
y - 4x = 1 crosses the y-axis at (0, 1)
Answer:
(0,1)
Step-by-step explanation:
PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?
Answer:
Answer is D
Step-by-step explanation:
Did it on Edge
The transformations are needed to change the parent cosine function to the cosine function is
Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.
and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3
So, vertical stretch of 2 and horizontal compression to a period π/2.
Now, the phase shift to π unit left and vertical shift of 1 unit down.
Learn more about Transformation here:
https://brainly.com/question/22962835
#SPJ7
What is the surface area of the part of the cake that will have frosting? No links or I will report you. If you answer correctly I will give you the brainliest
Answer:
396 square inches
Step-by-step explanation:
First we must find the overall surface area of the cake, which will the total area of all of the faces.
The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.
As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:
[tex]A = 2 (lw + wh + lh)[/tex], where l is length, w is width, and h is height.
For demonstration purposes, the length will be 12 and the width will be 15.
Substituting, we get:
[tex]A = 2 ((12)(15) + (15)(4) + (12)(4))\\A = 2(180 + 60 + 48)\\A = 2(288)\\A = 576\\[/tex]
Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.
[tex]A = 576 - lw\\A = 576 - (12)(15)\\A = 576 - 180\\A = 396[/tex]
The equation of a line in slope intercept form that is perpendicular to y=-1/3 x +5 and goes through the point (-1,3)
Answer:
y = 3x + 6
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y intercept
The slope of the first line is -1/3
when two lines are perpendicular, the product of their slopes is equal to -1
Thus;
-1/3 * m2 = -1
-m2 = -3
m2 = 3
So the equation of the second line is;
y = 3x + b
To get b, we substitute the coordinates of the point (-1,3)
We substitute -1 for x and 3 for y
so, we have;
3 = 3(-1) + b
3 = -3 + b
b = 3 + 3
b = 6
So we have the second equation as;
y = 3x + 6
Find the measure of each exterior angle of a regular nonagon.
If needed, round to the nearest tenth.
label optional
Answer:
360°÷9
Step-by-step explanation:
All exterior angles should add up to 360°.
The nonagon is a regular polygon hence all the exterior angles are the same size.
∴ 360°÷9= 40°
what is the surface area of this right rectangular prism.
a rectangle with 4 width 5 length and 2 height.
Answer:
20 cubic meters
Step-by-step explanation:
volume = length x width x height
5 x 2 x 2 = 20
any number to the___power is 1
Answer:
0 power
Step-by-step explanation:
Hello, any number to the 0 power is 1 because there is no product for the number at all so it would be identified as 1.
Answer:
0
Step-by-step explanation:
Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.
A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. What is the missing value in the table?
A. 11
B. 10
C. 8
D. 9
Answer:
D. 9
Step-by-step explanation:
If you count the number of squares that are pink with polka dots, you notice that there are 9 of them.
Answer:
D. 9.
Step-by-step explanation:
There is a ? on pink polka dots, so we have to count how many pink polka dots there are.
There are 9 pink polka dots in the color pattern.
Plz!!! I will give Brainliest
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3900 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $3900 did ticket sales fall?
yeah
Answer:
$137.00
Step-by-step explanation:
add all the money then add the 600 to the money u get.
The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code reader. Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.
Just to be sure, the manager has six more samples taken:
33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each
How reasonable is it to expect that the small sample represents larger samples?
Answer:1A. 20.5
2A. 14.54
1B. 14.625
2B. quite good reasonable
Step-by-step explanation:
Mean is used to measure central tendency (i.e. representative of data) and standard deviation is use to measure dispersion of data. The formula use to calculate mean and variance is :
1A. Mean of six sample =
⇒
⇒ Mean = 20.5
Standard deviation of six sample =
⇒ σ = 14.54
2A. Total number of error = 36 + 14 + 21 + 39 + 11 + 2 = 123
Total number of error made by all scans is 123 error per 6000 scans.
1B. Mean of all 12 samples is:
⇒
⇒ Mean = 23.5
Standard deviation of all 12 samples =
⇒ σ = 14.625
2B. Taking small sample instead of large sample can be quite risky sometimes as larger sample give us more accurate result than small sample.
But here we can take a small sample because the mean of both the size of the sample is near about.
Step-by-step explanation:
The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm
Answer:
Width __6___ cm
Length __12__ cm
Step-by-step explanation:
hello :
x : the width and y : Length P : the perimeter
P=2(x+y ) but : P=36cm and : y = 2x
36 = 2(x+2x)
36 = 2(3x)
6x =36 so : x=6 cm and y = 2×6=12cm
Step-by-step explanation:
If breadth is b,then length will be 2b,so
Perimeter=36
2(2b+b)=36
3b=18
b=6,so,l=2×6=12
So,length is 12 and breadth is 6,
Hope it helps…
The population of a town has grown at a rate of approximately 1.2% each year since 1960. In 1960, the population of the town
was about 180 thousand people. Which function could be used to model the population, p, of the town in thousands) x years
after 1960?
A
p = 180(12)
(В)
p = 180(1.12)
©
p = 180(1.012)
D
p = 180(0.12)
Answer:
180(1.012)^x
Step-by-step explanation:
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
pls mark me brainless
A cube has an edge length of 9 centimeters. If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube? 72 cm 72 cm2 108 cm 108 cm2
Answer:
72cm
Step-by-step explanation:
Original length of the cube = 9cm
Perimeter of the original cube = 4L
Perimeter of the original cube = 4(9)
Perimeter of the original cube = 36cm
If the cube is increased by a factor of 3, new length will be 3(9) = 27cm
Perimeter of the new cube = 4*27
Perimeter of the new cube = 108cm
Difference =108 - 36
Difference = 72cm
Hence the new cube is 72cm larger than the original
Answer:
72cm
Step-by-step explanation: