Answer:
[tex] x = \frac{21 - 3y - 3z}{4} [/tex]Step-by-step explanation:
Question:-To find value of xEquation:-x + 3x + 3y + 3z = 21Solution:-=> x + 3x + 3y + 3z = 21
[On adding like terms x and 3x]=> 4x + 3y + 3z = 21
[On subtracting both sides with 3y]=> 4x + 3y + 3z - 3y = 21 - 3y
[On Simplification]=> 4x + 3z = 21 - 3y
[On subtracting both sides with 3z]=> 4x + 3z - 3z = 21 - 3y - 3z
[On Simplification]=> 4x = 21 - 3y - 3z
[On dividing both sides with 4][tex] = > \frac{4x}{4} = \frac{21 - 3y - 3z}{4} [/tex]
[On Simplification][tex] = > x = \frac{21 - 3y - 3z}{4} (ans)[/tex]
Given :
x + 3x + 3y + 3z = 21To Find :
The value of xSolution :
[tex]\qquad { \dashrightarrow \: { \sf{x + 3x + 3y + 3z = 21}}}[/tex]
Adding the like terms :
[tex]\qquad { \dashrightarrow \: { \sf{4x + 3y + 3z = 21}}}[/tex]
Transposing 3y to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{4x + 3z = 21 - 3y}}}[/tex]
Now, Transposing 3z to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{4x = 21 - 3y - 3z}}}[/tex]
Dividing both sides by 4 :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{4x}{4} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{{x} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]
Therefore, the value of x = 21 – 3y – 3z/4
someone please please please answer!!!
Answer:
7.07 or "5 × square root of 3"
Step-by-step explanation:
in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps
The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy membership for
$100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify
buying the membership?
Answer:
Step-by-step explanation:
if x is the number of times you go swimming
100 + 4x < 6x
Out of an 98 day season
If you attend 50 days, the cost is $300 either with or without the membership
Less than 50 days, it's less expensive to just pay the daily rate.
More than 50 days, it's less expensive to have the membership.
The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here
Answer:
a) area will be 1/4 of the original
b) 7 cm²
Step-by-step explanation:
a)Consider the equation for the area of a trapezoid:
A = 1/2(b1 +b2)h
Now, halve each of the dimensions:
A' = 1/2((1/2)b1 +(1/2)b2)((1/2)h)
A' = (1/4)(1/2(b1 +b2)h) = 1/4A
The area is multiplied by the square of the scale factor: (1/2)² = 1/4.
__
b)The area of the smaller trapezoid will be ...
A' = 1/4A = (1/4)(28 cm²) = 7 cm²
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6
Answer:
358
Step-by-step explanation:
576
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
Work out the area of the triangle.
Answer:
120
Step-by-step explanation:
10*24=240
240/2=120
Solve using substitution,
y = -3
x + 3y = -6
Please help
Answer:
x=3
Step-by-step explanation:
x+3(-3)=-6
x-9=-6
+9 +9
x=3
Answer:
x=3 y=-3
Step-by-step explanation:
solve for x then substitute x in the original problem then solve for y
Solve 2x2 – 6x + 10 = 0 by completing the square.
A)
x = 3∕2 + i , x = 3∕2 – i
B)
x = 3 + i, x = 3 – i
C)
x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i
D)
x = 3 + i, x = 3 – i
Answer:
The answer is C.)
Step-by-step explanation:
I hope its help Please let me know.
(3x(3)+9X(2)+27X)/3X
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?
Answer:
C their speeds are equal
Answer: C) Their speeds are equal
Step-by-step explanation:
Use the speed-distance equation
Dog - s=d/t = 100/4 = 25m/s
Lion - s=d/t = 250/4 = 25m/s
Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)
Answer:
the answer is negative nine
LAST ATTEMPT !! MARKING AS BRAINIEST!!
Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer: Linda earns more interest
Step-by-step explanation:
Linda: 90000 x 1.06^3 -90000 = 17191.44
Bob: (90000 x 1.06 - 90000) x 3 = 16200
17191.44 > 16200
Find the measure of angle m
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32).
Round your ANSWER to the nearest degree.
Select one:
a. 126°C
b. 21°C
c. 158°C
d. 53°C
Answer:
21
Step-by-step explanation:
(use you calculator)
method of bidmas should be used
5/9 (70-32) substitute the F with 70
5/9 (38) calculate the brackets first
0.555 (38) next, calculate 5/9
0.555×38=21.09 or 21.1111... finally, multiply
hope this helps
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
Thando would like to beat the record for the 1600m race ,the previous record was a time of 7 minutes 23 seconds .if her race starts at 11:05:17 what time does she need to end the race to beat the record ?
Answer: 11:12:40
Step-by-step explanation: If im right pls give brainliest
Twice a number is 46 less than 4 times the number. Find the number.
Answer:
23
Step-by-step explanation:
let the number be n then twice the number is 2n and 4 times the number is 4n
Then
2n = 4n - 46 ( subtract 4n from both sides )
- 2n = - 46 ( divide both sides by - 2 )
n = 23
The number is 23
Answer:
34.5
Step-by-step explanation:
23 x 2 = 46 less than 4 times = 11.5
46 - 11.5 = 34.5
#6) Find the value of x. Be sure to show your work.
write an equation in slope-intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
Answer:
y = -1/2x + 6
Step-by-step explanation:
We know that the slope intercept form of a line is .
Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.
So the slope of the equation will be .
Finding the y-intercept (c):
Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.
PLEASE HELP IM BEING TIMED!
Ivan is making cookies for a party. He has 5 cups of flour. The recipe calls for 2 cups of flour. Ivan wants to double the recipe.
Which statement about the amount of flour for the doubled recipe is true?
O A. Ivan has 1 cups of flour more than he needs.
B. Ivan has
5
cup of flour more than he needs.
O c Ivan has exactly enough flour.
D. Ivan needs
cup more flour than he has.
OE. Ivan needs 1
cups more flour than he has.
The recipe calls for 2 cups of flour. The double of this amount is :
[tex]\mathfrak{2*2} [/tex]
[tex]\underline{\mathfrak{=4}} [/tex]
If Ivan has 5 cups, then :
[tex]\mathfrak{5-4} [/tex]
[tex]\underline{\mathfrak{=1}} [/tex]
So, O A. Ivan has 1 cup of flour more than he needs.
[tex]\mathbb{MIREU} [/tex]
PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.
Answer:
When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.
Step-by-step explanation:
hey yo how is this math
As a hurricane approaches, the air temperature changes −7.8°F every hour.
Which value represents the change in air temperature over 1.25 hours?
−9.75°F
−9.05°F
−6.55°F
−6.24°F
The change in air temperature over 1.25 hours is -9.75°F
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
As a hurricane approaches, the air temperature changes −7.8°F every hour. The amount of change after 1.25 hours is:
Change = −7.8°F every hour * 1.25 hours
Change = -9.75°F
Therefore the change in air temperature over 1.25 hours is -9.75°F
Find out more on linear equation at: https://brainly.com/question/14323743
An angle of 90° measures (___) Pi radians.
An angle of -pi/5 radians measures ____?
°.
[tex]\huge \bf༆ Answer ༄[/tex]
Conversion from degree to radian ~
[tex] \boxed{ \sf{ \frac{\pi}{180} \times \theta }}[/tex][tex] \sf \dfrac{\pi}{180 } \times 90[/tex][tex] \sf \dfrac{\pi}{2} \: \: rad[/tex]Conversion from radians to degree ~
[tex] \boxed{ \sf{ \frac{180}{\pi} \times \theta}}[/tex][tex] \sf \dfrac{180}{\pi} \times - \dfrac{ \pi}{5} [/tex][tex] \sf - 36 \degree[/tex]The required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
An angle of 90° measures
in radians,
angle = π/180 × Ф
angle = π/180 × 90 = π/2 radians
Similarly,
An angle of -pi/5 radians
in degrees,
angle = 180 / π × -π/5
angle = -36°
Thus, the required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
Learn more about Angles here:
https://brainly.com/question/13954458
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A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Can someone help me? Will mark brainiest :)
2.5 x 10^3 times what number is equal to 5 x 10^6?
Answer:
2
Step-by-step explanation:
Answer:
2000.
Step-by-step explanation:
First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000
then divide 5000000/2500 = 2000
Three (3) is a common factor of 21 and 22.
O A. True
B. False
SUBMIT
Answer:
false.
Step-by-step explanation:
Factors for 21: 1, 3, 7, and 21. Factors for 22: 1, 2, 11, and 22.
Answer:
B false
hello hope this helps
Find the slope of the line passing through the points(3,-9) and(2,-2) .
Answer:
-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-9))/(2-3)
m=(-2+9)/-1
m=7/-1
m=-7