9514 1404 393
Answer:
x = -6 (correct answer)
mistakes were made in Step 2 and Step 5.
Step-by-step explanation:
The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.
Step 1: 12 = -2(x -4) -8
Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2
Step 3: 12 = -2x . . . . . . . . . . . like terms combined
Step 4: -6 = x . . . . . . . . . . . . . divide by -2
__
Check
12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK
__
Comment on other mistake
In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.
An additional mistake was made in that the answer was not checked.
Does anyone know this answer??
Answer:
Option B is your answer ☺️☺️☺️
A farmer sells 6.1 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.6
Step-by-step explanation:
6.1 kilograms - 4.5 kilograms = 1.6 kilograms
the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о
Answer:
Step-by-step explanation:
base = 784 sq in² 28 in tall pyramid
each side of the square base = √784 also equals 28
using the Pythagorean theorem the length of each side of the pyramid from the base to the point is
(side/2)² + height² =( length of the pyramid face)²
(28/2)² + 28² = 196 + 784 = 980 = (face length)²
face length = √980 = 31.3
area of the pyramid = 4 sides × area of each face + the area of the base
= 4×[(1/2)(base)(face length)] + side²
= 4(1/2)(28)(31.3) + 784
= 2537 sq in² Not in the solution set
In a baseball card collection, 40% of the cards are worth more than 100$. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] \sqrt{193} [/tex]
Step-by-step explanation:
Given,
Height of the triangle = 7
Base of the triangle = 12
Hypotenuse of the triangle = x
Therefore, According to Pythagoras Theorem,
[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]
[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 49[/tex]
[tex] = > {x}^{2} = 193[/tex]
[tex] = > x = \sqrt{193} (ans)[/tex]
HELPPPPP please :( thanks
If x=5 and y=−2, evaluate the following expression:20−5y+2x
Step-by-step explanation:
20−5y+2x
20-5(-2)+2(5)
20+10+10=40
Answer:
20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )
= 20 − ( −10 ) + ( 2 ) ( 5 )
= 30 + ( 2 ) ( 5 )
= 30 + 10
= 40
Hope it helps
Please mark me as the brainliest
Thank you
Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?
Answer:
Total=600+70(x)
The average cost of the phone is C(x) = (600 + 70x)/x.
How to calculate the average?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
Given that,
The fixed price of the cellphone is $600.
And, the monthly plan is $70.
Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.
As per the question the average cost can be written as,
C(x) = (600 + 70x)/x
Where x is the number of months.
Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.
To know more about average click on,
https://brainly.com/question/12322912
#SPJ2
how to find surface area of trapezoid.
Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u
Step-by-step explanation:
c) Work out
√6 x √6 x √6
Answer:
√6 × √6 × √6 = 6√6
Step-by-step explanation:
[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]
[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]
[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]
Which is the value of x in the equation?
4(x−3)=40
A. 13
B. 14
C. 15
D. 16
Answer:
x=13
Step-by-step explanation:
4(x-3)=40
x-3=40/4
x-3=10
x=10+3
x=13
HOPE THIS HELPS YOU
HELPP PLEASE! ASAP!!
please help, I did it 3 times but can't seem to get is right
Answer:
A' = (-2,0)
Step-by-step explanation:
imagine a mirror being along the line y=2.
Then A's mirror image would appear at -2,0.
Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8
Solve for x: |x| − 8 = −5
Answer:
x=3
Step-by-step explanation:
Answer:
3 or -3
Step-by-step explanation:
|x| - 8 = -5
|x| = 3
The absolute value of x = 3, -3
5 1/3 divided by 2/3
Draw a diagram
[tex]5\frac{1}{3} =\frac{16}{3}[/tex]
[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]
Hope this helped!!!!!!!
Six more than the quotient of a number be in 30 is greater than three
Answer: 14
Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.
Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.
The final total says 14. That gives us the following:
6 + x/3 = 14
can someone help me with these problems I don't get it very well
this is my answer but you need to check with your teacher
Answer:
25 & 26Complementary angles sum to 90°Angle:
90° - 47° = 43°Find x
2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruentAngle
82°Find y
5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°Angle:
180° - 115° = 65°Find n:
4n - 5 = 654n = 70n = 17.531 & 32Angle addition postulate
∠XYZ = ∠XYW + ∠WYZAngle
m∠XYW = 110° - 72° = 38°Find x:
3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)Angle
90° - 35° = 55°Find n:
5n = 55n = 11solve the equation 2[x]>14
Answer:
2x>14
2x÷2>14÷2
X>14÷2
X>7 or X€(7,∞)
Step-by-step explanation:
step 1- divide both sides of the by 2
step 2- any expression divided by itself is 1
What two things make a graph proportional?
A bicycle ramp used for competitions is a
triangular prism. The volume of the ramp
is 313.2 cubic feet. Write and solve an
equation to find the width of the ramp.
Possible student work:
V=Bh
13.4ft
Answer:
8.7 feets
Step-by-step explanation:
As obtained frommthe diagram attached :
Base, b of triangle = 6 feets
Height of triangle, h = 12 feets
Volume of a Triangular Prism is obtained using the relation :
Base Area * Width
Base area of prism :
0.5 * base * height
0.5 * 6 * 12 = 36ft²
Width, w of the ramp =x
Volume, V = 313.2 ft³
V = base area * width
313.2 = 36 * x
313.2 = 36x
x = 313.2 / 36
x = 8.7 feets
Friction is not related to the efficiency of a machine.
True or False
Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.
Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.
Step-by-step explanation:
here's your solution
=> total money received by them = $1600
=> the given ratio are 7:5:4
=> let the ratio be X ,now
=> Maria = 7X
=> Carolina = 5X
=> Pedro = 4X
=> we know whole money = $1600
=> so, adding all
=>. 7x + 5x + 4x = $1600
=> 16x = $1600
=> x= $1600/16
=>. x = $100
now Maria = 7*100 = $700
Carolina = 5*100 = $500
Pedro = 4*100 = $400
hope it helps
Identify the solution to the system
Answer:
The solution is where the two lines intersect so
(1, 3)
x= 1
y= 3
Step-by-step explanation:
Help pls this is mad hard
Answer:
17
Step-by-step explanation:
a²+b²=c²
(15x15)+(8x8) = c²
225+64 = c²
√c = 17
find the discriminant of 2x square + x - 6 is equal to zero?
Answer:
When the discriminant value is zero, we get one real solution; When the discriminant value is negative, we get a pair of complex solutions; Standard Form. The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.
Estimated Reading Time: 50 secs
Step-by-step explanation:
PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK
Answer:
1,215 i think please be right
Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado
Answer:
25%
Step-by-step explanation:
Paso 1
Calcula la cantidad del contenedor que no estaba ocupado.
Esto se calcula como
Tamaño del recipiente: cantidad de líquido en el recipiente
= 120 lt - 90lt
= 30 litros
Paso 2
El porcentaje de la capacidad del tanque que está desocupado se calcula como:
= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100
= 30lt / 120lt × 100
= 25%
Translate triangle ABC 4 units right and 5 units down H E L P
What is the range of a function and how do you solve for it?