Carolyn was asked to solve the following system of equations. Her work is shown.
What error did Carolyn make? Identify her mistake and explain the error.
1. Carolyn did not subtract 4 from both sides of the equation.
2. Carolyn did not distribute the -2 to both terms
3. Carolyn did not substitute x + 2 for y
4. Carolyn did not substitute 3 for x to find the value of y for the solution
Answer:
Carolyn did not distribute the -2 to both terms
Step-by-step explanation:
This was how Carolyn solved the second step:
[tex]3x-2(x+2)=7\\3x-2x+4=7[/tex]
She did multiply both terms in the parentheses by 2, but she did not change the sign for the 4. It should instead be -4 since a negative number multiplied by a positive number will always make a negative number.
Here is the correct way of solving it:
[tex]3x-2(x+2)=7\\3x-2x-4=7[/tex]
I hope this helps!
Please help! Write an equation, then solve for x
Answer:
x=30
Step-by-step explanation:
4x+2x+3x +3x=360. .... (angles of the quadrilateral add up to 360)
12x=360
12x/12=360/12
x=30
In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls
9514 1404 393
Answer:
b = 6
Step-by-step explanation:
The area is given by the formula ...
Area = 1/2·ab·sin(C)
12 = (1/2)(8)b·(1/2) . . . . . fill in the given values
12 = 2b . . . . . . . . . . . simplify
6 = b . . . . . . . . . . . divide by 2
The length of side b is 6 units.
Table of height versus width a = , b = , c = , d = , e =
Answer:
a= 6
b= 7
c= 8
d= 7
e= 6
Step-by-step explanation:
The table of height versus width shows that the values represented will be 6, 7, 8, 7, and 6.
How to calculate the values?From the given information, a = 6. Therefore, the value of b will be: = a + 1 = 6 + 1 = 7
The value of c will be:
= a + 2 = 6 + 2 = 8.
The value of d is also the value of b which will be 7. Lastly, the value of e will be 6.
Learn more about height on:
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Describe the horizontal cross section of the triangular pyramid.
A.triangle
B.rectangle
C.trapezoid
D.square
In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
Length of TV is 12π in. The diameter is?
Answer:
Diameter = 54 units
Step-by-step explanation:
Given:
Angle θ = 80'
Length of arc TV = 12π
Find:
Diameter
Computation:
Length of arc = [θ/360][2πr]
So,
12π = [80/360][2πr]
54 = 2r
r = 27
Diameter = 2r
So,
Diameter = 54 units
Math help pls all 4 questions please
Answer:
a)32500
b)0.00604
c)2.4×10^6
d)1.47x10-³
Step-by-step explanation:
plz can i get brainliest:)
A bag contains 25 kg of flour. A baker used 80% of it to bake bread. How much flour,in kg,remained ?
Answer:
5 kg flour remains
Step-by-step explanation:
80% of the original 25 kg comes to 0.80(25 kg), or 20 kg. We convert 80% to its decimal equivalent, 0.80, to get this result
The amount of flour remaing is then (1.00 - 0.80)(25 kg), or 0.20(25 kg) = 5 kg.
5 kg flour remains.
Answer:
25 - 20 = 5 kg
Steps:
25×80/100 = 25×8/10 = 200/10 = 20 kg
25 - 20 = 5 kg
In a fruit cocktail, for every 100 ml of orange juice you need 12 ml of apple juice and 8 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
3:2:25
Step-by-step explanation:
ratio=
12:8:100
6:4:50
3:2:25
Find the volume of the cone.
Either enter an exact answer in terms of 7 or use 3.14 for .
6
5
units
Answer:
[tex]V=471\ \text{units}^3[/tex]
Step-by-step explanation:
Given that,
Radius of the cone, r = 5 units
Height of the cone, h = 6 units
We need to find the volume of the cone. The formula for the volume of the cone is given by :
[tex]V=\pi r^2 h[/tex]
Substitute all the values,
[tex]V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3[/tex]
So, the volume of the cone is [tex]471\ \text{units}^3[/tex].
I NEED HELP THIS IS DUE BY THE END OF THE DAY AND ITS 3:03 PLEASE HELPPP
find the equation of the line that passes through ( -2,8) and (5,6)
Answer: the equation is
y=-2/7x +52/7 and the slope is -2/7
Step-by-step explanation:
Which table of vales can be defined by the function, y=6x-2? Please helpppp. This is hard.
Answer:
The Answer is D.
Step-by-step explanation:
You just need to plug in x for the first few, if it doesn't match go to the next option.
I tried this and figured out it's d in less than a minute.
What is the slope of the line that passes trough the points (-6,3) and (4,8)
Answer:
Step-by-step explanation:
The product of -2 and a number is at most 10.
Find the possible numbers.
A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5
Answer:
a because 5 or less than 5 equals almost or less than 10
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
20ml : 6ml: 15ml
Step-by-step explanation:
1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.
Can you answer the question plss I really don’t get it.
Answer:
the first one is 1 the second one is 28 /5/6
Step-by-step explanation:
trust me bro
Answer:
A= -5.6666 or -17/3
B= 28.8333 or 173/6
Step-by-step explanation:
The company Jake uses charges $25 each month and $0.04 for each minute of usage time. Express t and terms of M
You won the lottery!! You decide to first buy the expensive car you've always loved. There are lots of options. In addition to deciding whether you want an automatic or manual transmission, you have to choose an exterior color from 15 options, an interior color from 12 options, seats that have either a heating or massage option, 4 different types of audio systems, and 5 luxury packages with special extras for your car. If you pick one in each category, how many different car packages are there?
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Zach wants to buy a suitcase. The sale price is $32. What was the original price?
Submit
Answer: $6.40
Step-by-step explanation: im just way too big brained
Answer:
$40
Step-by-step explanation:
32/(1-.2)=32/.80=40
Find the output, yyy, when the input, xxx, is 303030. y = 14-0.5xy=14−0.5xy, equals, 14, minus, 0, point, 5, x y=y=y, equals
Answer:
Output, y = -1 when input, x = 30
Step-by-step explanation:
Given equation:
y = 14 - 0.5x
Where,
y = output
x = input
Find the output, y, when the input, x, is 30
y = 14 - 0.5x
y = 14 - 0.5(30)
y = 14 - 15
y = -1
Therefore,
Output, y = -1 when input, x = 30
Answer:
-1
Step-by-step explanation:
KHAN ACADEMY :)
I CAN FIND AN EXPLANATION IF NEEDED
Please help Z and Y
Answer:
10=Z and 10=Y
Step-by-step explanation:
since it is a 45, 45, 90 triangle
both Z and Y will be the same length
the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs
Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10
Hope that helps :)
Find the mode, median, mean and range for this set of data.
Shoe Size: 10, 10, 5, 11, 7, 11, 8.5, 11, 8.5, 7,9
Select the correct response:
Mode=7, Median=7.5, Mean=7.64, Range=5
Mode=8, Median=8, Mean=7.45, Range=3
Mode=9, Median=8, Mean=8.09, Range=5
Mode=11, Median=9, Mean=8.91, Range=6
Answer:
Mode=11, Median=9, Mean=8.91, Range=6
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
You pay $5.80 sales tax
for a skateboard in a state
with 7.25% sales tax. Find
the selling price of the
skateboard.
Step-by-step explanation:
5.80×0.725= 4.205
5.80+4.205
= 10 .005
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
how many take neither?
Answer: 9
Step-by-step explanation:
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
students who take neither: 35 - 26 = 9.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
In a class of 35 students, 19 take history and
12 take economics. If 5 take both subjects,
now,
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
To learn more on subtraction click:
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27.1% of city employees ride the bus to work. This is up 47% from last year. What percent of employees rode the bus to work last year?
Answer:
18.44%
Step-by-step explanation:
Let :
Percentage who rode bus to work last year = x
Percentage who ride bus to work this year = 27.1%
Percentage who ride bus to work this year = [percentage who rode bus to work last year + 47% of percentage who rode bus to work last year]
Mathematically ;
27.1% = x + 47% of x
0.271 = x + (0.47x)
0.271 = x + 0.47x
0.271 = 1.47x
x = 0.271 / 1.47
x = 0.1843537
x = 0.1843537 * 100%
x = 18.435%
x = 18.44%
PLEASE EXPLAIN
Write the expression with fewer terms.
10x − 3y + 2x
Answer:
hope this help byee byee
What is 3 1/5 as an improper factor?
Answer:
16/5
Step-by-step explanation:
(solve for x) x/6 -2 = 13
Answer:
[tex] \bf \huge90[/tex]
Step-by-step explanation:
Given that :x/6 - 2 = 13to find :solve for x explanation :⟼ x/6 - 2 = 13
step 1 : Simplify both sides of the equation.
⟼ x/6 - 2 = 13
⟼ 1/6 x + - 2 = 13
⟼ 1/6 x - 2 = 13
step 2 : add 2 both sides
⟼ 1/6 x - 2 + 2 = 13 + 2
⟼ 1/6 x = 15
step 3 : Multiply both sides by 6.
⟼ 6 × (1/6 x) = (6) × (15)
⟼ 6/6 x = 90
⟼ x = 6/6 × 90
⟼ x = 90.
∴ x = 90.
verification :lets take x = 90.
⟼ (90) / 6 - 2 = 13
⟼ 90/6 - 2 = 13
⟼ 15 - 2 = 13
⟼ 13 = 13.
hence verified ☑️