Answer:
Bryce is wrong in step 1 because he did not distribute 3 over 5/3
Explanation
Given the steps taken by bryce as shown, we are to find where he made an error
[tex]\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}[/tex]
Given the expression;
[tex]\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\[/tex]
Step 1:Expand the bracket using the distributive law;
8/3 = 3c + 3(5/3)
Simplify
8/3 = 3c + 15/3
Step 2: Subtract 15/3 from both sides
8/3 - 15/3 = 3c+15/3-15/3
(8-15)/3 = 3c
-7/3 = 3c
Step 3: Multiply both sides by 1/3
-7/3 * 1/3 = 3c * 1/3
-7/9 = c
Swap
c = -7/9
From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect
1. There are 6 feet of ribbon in a roll. Samantha uses 3/4 foot pieces of ribbon to decorate gifts. How
many gifts can she decorate with one roll of ribbon?
Write an equation (with solution) to represent
this problem
Answer: 8
Step-by-step explanation:
take 72 inches and divide it by 9 inches and you will have the answer
please help which multiple choice answer is it
Answer:
it's the 3rd answer
Step-by-step explanation:
moves around the line just like the shape shows
Answer:
The answer would be C
Step-by-step explanation:
If you were to revolve the figure shown in C you would get the figure above
In the diagram shown, CD is the image of AB after a reflection across line EF . Which of the following pairs of segments do not have to be the same length.
(1) AB and CD
(2) BF and EF
(3) AE and CE
(4) BF and DF
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
An angle measures 46° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
67 degree
113 degree
Step-by-step explanation:
Supplementary angles are angles that measure up to 180 degrees. For example, if one angle measures 60 degree, the other angle would measure (180 - 60) 120 degrees
Let x represent the smaller angle
The bigger angle = x + 46
We know that both the smaller and the bigger angle would add up to 180, thus this equation can be written :
x + 46 + x = 180
2x + 46 = 180
Collect like terms
2x = 180 - 46
2x = 134
Divide both sides by 2
x = 67 degrees
the bigger angle = 67 + 46 = 113 degree
How do I solve for x?
Answer:
The answer is 98
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.
The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
62+20=82
180-82=98
98+20+62=180
An online gaming company offers two different plans for unlimited access. Plan A has a one-time $27
membership fee and is $6.50 a month. Plan B has a $14.50 membership fee and $9.00 a month. For which months is Plan A cheaper? For which months is Plan B cheaper?
please help i really need this....
Answer:
愚蠢的他媽的
Step-by-step explanation:
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a) − 5 ( 6 n + 6 ) ≤ 30
b) 8 v − 4 ( v − 8 ) > 8
Answer:
a) n ≥ -2
b) v > -6
Step-by-step explanation:
You did not state what you would like us to do with these. I will assume simplify.
a)
− 5 ( 6 n + 6 ) ≤ 30 first, distribute -5
-30 n + -30 ≤ 30 now, add 30 to both sides so we may isolate n our variable
-30 n ≤ 60 now, divide -30 on both sides so we may isolate n completely. When we do this, the sign changes direction
n ≥ -2
b)
8 v − 4 ( v − 8 ) > 8 first, distribute -4 (note: two negatives equal a positive)
8 v - 4v + 32 > 8 now, simplify
4v + 32 > 8 now, subtract 32 from both sides
4v > -24 now, divide both sides by 4 to isolate v
4v > -24
v > -6
Hope this helps! Please make brainliest <3
I need help with this question. I didn't choose answer D, but I accidentally did. If you could help me, that would be great.
Answer:
The correct answer would be B
Step-by-step explanation:
Plz Mark Brainlist
The sum of two numbers is 25. The difference between twice the first number and the second number is -10. Find the numbers
Answer:
The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.
Min=−10
Max=25
M=7.5
Q1=−10
Q3=25
Step-by-step explanation:
The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:
1. Minimum (Min) - the smallest observation
2. Maximum (Max) - the largest observation
3. Median M - the middle term
4. First Quartile Q1 - the middle term of values below the median
5. Third Quartile Q3 - the middle term of values above the median
Arrange the terms in ascending order.
−10,25
The minimum value is the smallest value in the arranged data set.
−10
The maximum value is the largest value in the arranged data set.
25
Find the median.
7.5
The lower half of data is the set below the median.
−10
The upper half of data is the set above the median.
25
How do the volumes of cylinders, cones, and spheres relate to each other if they have the same radius and height?
Answer:
search it up
Step-by-step explanation:
please help!!
Which equation does the graph of the systems of equations solve?
Answer:
you have to solve the first step and up and down
Step-by-step explanation:
with times hait
Multiple Choice: A prism and a pyramid have identical bases and heights. The volume of the prism is: Twice as large as the pyramid's volume One third as large as the pyramids's volume Three times as large as the pyramid's volume Equal to the pyramid's volume
Answer:
Three times as large as the pyramid's volumeStep-by-step explanation:
Let the volume of prism be Vp
Let the Volume of pyramid be Vy
Vp = Base Area * Height .... 1
Vy = Base * Height/3 ....2
From 2;
Vp = BH/3
BH = 3Vy
Since Vp = BH, then;
Vp = 3Vy
This shows that the volume of prism is three times as large as pyramids volume
Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for the number of miles per gallon of gasoline her vehicle gets?
Answer:
19.15 miles/gallon
Step-by-step explanation:
Gasoline used = 8.6 gallons
Distance driven = 164.7 miles
Number of miles per gallon = Distance driven / Gasoline used
= 164.7 miles / 8.6 gallons
= 19.151162790697 miles/gallon
Approximately 19.15 miles/gallon
Number of miles per gallon of gasoline her vehicle gets is 19.15 miles/gallon
this is to do with independant events & probability trees
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer: The probability of getting two red marbles is P = 0.141
Step-by-step explanation:
We know that in the bag there are 3 blue marbles and 5 red marbles, then there is a total of 8 marbles in the bag.
The probability of taking at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles, this is:
p = 3/8
Suppose we got a red marble:
Now we replace the red marble we took, so in the bag there are again 3 red marbles and 8 total marbles, then the probability of getting another red marble is again:
q = 3/8
The joint probability (this is, the probability of both events happening) is equal to the product of the individual probabilities, with gives us:
P = p*q = (3/8)*(3/8) = 9/64 = 0.141
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. What is the current population of this town? a. The population of this town is approximately 46,609 b. The population of this town is approximately 115,292 c. The population of this town is approximately 256,140 d. The population of this town is approximately 109,856
Answer:
Not totally sure if this will help,
The answer is a: "The population of this town is approximately 46,609"
I just took the test and This was the correct answer. Hope this helps!
Answer:.
The population of this town is approximately 46,609
Step-by-step explanation:
a
A cell phone is on sale at $35
more than half of the regular
price. The sale price is $140.
Determine the regular price of the
cell phone.
Answer: v=210
Step-by-step explanation:
What’s the difference between rigid transformations and non rigid transformations?
There are two different categories of transformations: The rigid transformation, which does not change the shape or size of the preimage. The non-rigid transformation, which will change the size but not the shape of the preimage.
How do I solve this? i don't know how to set it up.
Answer:
yes
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
First we want to find what side NP is equal to. To do that we divide 4 by 12
12/4=3 so side mp=3
next we want to find the scale factor of the rectangles. to do that we divide 4 from 9
9/4=2.25
next we want to find what side st is equal too
to do that we multiply 3 by 2.25
3x2.25=6.75
finally we want to find the perimeter and to do that we do 2(6.75)+2(9)
2(6.75)+2(9)=31.5 so the perimeter of rectangle RSTU is 31.5
hope this helps :)
a = 51 yd, b = 20 yd, c = 37 yd, h = 12 yd, w = 5 yd find surface area of triangular prism ANSWER FAST !!!
Answer:
Triangular Prism
Step-by-step explanation:
PLEASE HELP Camille went for a 45-minute walk. If she
burned an average of 3.2 calories each
minute, how many total calories did she burn
Answer:
144
Step-by-step explanation:
multiply 3.2 by 45, or calories burned by minutes walked
if the cost of 1 pen is 15.75, find the cost of 7 pens
Answer:
110.25
Step-by-step explanation:
Cost of 1 pen = 15.75
Cost of 7 pens = 15.75 × 7 = 110.25
Answer:
$110.25
Step-by-step explanation:
1 pen = $15.75
7 pens x $15.75 = $110.25
(this pen is expensive t.f)
On a map drawn to scale, 5 cm represents 30 kilometers. If a line a the same map that connects 2 cities is 7 cm long, what is the distance between the 2 cities?
Answer:
42
Step-by-step explanation:
You can use proportions to solve this problem.
[tex]\frac{5cm}{30km}[/tex]=[tex]\frac{7cm}{xkm}[/tex]
Now just cross multiply.
5cm*Xkm=7cm*30km
you can simplify the cm and km since its multipying.
5x=210
x=42
mencioné tres aparatos tecnológicos que hacen su diseño o utilicen para su fun
cionamiento ruedas de fricción
A shopper pays $45 for 3 packs of T-shirts. If each pack costs the same amount and contains
5 T-shirts, what is the cost per T-shirt?
Answer:
$3Step-by-step explanation:
3 packs each 5, then total T-shirts:
3*5 = 15Total cost:
$45Cost of one T-shirt:
$45/15 = $3Each pack costs
45/3$15Each T shirt costs
15/5$5I need help please please 20 points!!
Solve for x.
Answer:
13+8 = 7+ x
21=7+x
21-7 = x
x = 14
Help !!
Determine the value of y, if x is 7.
y = x2 – 5
Tesfa is x years old. his father is 4 times as old as Tesfa. Her mother is 7 years younger than his father. If their three ages add up to 101 years, how old is Tesfa?
tesfa = x
dad = 4x
mom= 4x-1
x+4x+4x-1=101
9x+1=101
9x=100
100/9= 11.1
Triangle abc is equilateral which means all three lengths and three angles are equal.
which equation could be used to find the measure of b?
Answer:
The answer is
[tex]3 x = 180[/tex]
Answer:
OTHER DUDE IS RIGHT.
Step-by-step explanation:
BE SAFE, HAVE AN AMAZING DAY :)
The linear model P = 3.75g + 1.5 predicts the total cost , P, in dollars, to purchase g gallons of gas at a gas station.Based on the linear model, how much should it cost to purchase 12 gallons of gas
Answer:
It would cost $46.50 to buy 12 gallons of gas.
Step-by-step explanation:
1. Replace the variables in [tex]P = 3.75g + 1.5[/tex] with the values you know:
[tex]P = 3.75g + 1.5, \text{ where } g =12\\P=3.75(12)+1.5[/tex]
2. Solve for P:
[tex]P=3.75(12)+1.5\\P=45+1.5\\P=46.5[/tex]