Answer:
x = 18
Step-by-step explanation:
Twice a number becomes 2x, decreased by 4 becomes -4, and combined those terms equal 32.
2x - 4 = 32
2x - 4 + 4 = 32 + 4 (isolate the variable)
2x = 36
x = 18
Solve the following system of equations. x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
a. x = 1,y = 2,z = 2
b. x= 2,y = 2,z = 1
c. x = 6,y = 2,z = 1
d. x = 13,y = 11,z = -1
By substitution, we will see that the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
How to solve the system of equations?
Here we have a system of 3 equations:
x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:
x + y + 8z = 16
2x + 7z = 19
x - y + z = 1
Now, I will isolate x on the second equation:
x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z
Now we can replace that on the other two equations:
(9.5 - 3.5*z) + y + 8z = 16
(9.5 - 3.5*z) - y + z = 1
Rewriting the system we get:
y + 4.5z = 6.5
-y - 2.5z = -8.5
Now we can isolate y on the first equation:
y = 6.5 - 4.5z
Replacing that on the other equation we get:
-( 6.5 - 4.5z) - 2.5z = -8.5
-6.5 + 4.5z - 2.5z = -8.5
2z = -8.5 + 6.5 = -2
z = -2/2 = -1
Then the value of y is:
y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11
And the value of x is:
x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13
So the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
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A deposit of $225 as an integer
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
Find the volume of this right rectangular prism. [Type your answer as a number.]
Answer:
200m
Step-by-step explanation:
To find volume you multiply each side, length, width, and height. 5 times 4 is 20, and 20 times 10 is 200
WILL MARK BRAINLIEST!!
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
Bart read 3,432 pages of books last year! That's 1,544 fewer pages than he read the year before. How many pages did Bart read in the two years combined?
Answer:
5,320 pages
Step-by-step explanation:
Last year: 3,432 pages
Last year: 3,432-1,544= 1,888
3,432+1,888= 5,320
Select two ratios that are equivalent to 2:9
Choose 2 correct answers
Answer:
4:18 and 6:27
Step-by-step explanation:
Please answer ASAP I have 15 min help
Answer:
32
Step-by-step explanation:
she was supposed to divide and multiply first and then add those answers
6+6+20=32
Mark and a friend went out for dinner the bill was $23.40 they leave a 20% tip how much of a tip will they leave ?
Answer:
answer is 4.68$
Step-by-step explanation:
23.40×20/100=4.68
4.68$ is 20% of 23.40$
4.68$
True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.
According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE
What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.
a+b=b+aTherefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE
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x
y
-3
6
-1
4.
0
3
1
3
3
4
3
6
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
9514 1404 393
Answer:
13 units
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13
The distance between the two points is 13 units.
What type of relationship does this equation represent?
y = 9x -7
Proportional
Nonproportional
Answer:
Nonproportional
Step-by-step explanation:
hope it helps.
Answer:
non proportional is your answer
Is (yx1)+2 equal to y+2
Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.
Answer:
(9, 18) (3, 6) Plz correct me if wrong
Step-by-step explanation:
Jace bought 4 cookies and 2 brownies from the bakery.
Let x represent the number of cookies and y represent the number of brownies.
Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:
0.75x + 3y = 9 (1)
Also, he bought twice as many cookies as brownies, hence:
x = 2y
x - 2y = 0 (2)
Solving equation 1 and 2 simultaneously gives x = 4, y = 2
Hence Jace bought 4 cookies and 2 brownies from the bakery.
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1/2^-2 2^-3 -4^5
What is the value of
for x = 2 and y=-4?
value of x=2 is-8 and y=-4 is -1024
Please help!
Write an equation of the line in slope-intercept form.
Answer:
y=4/2m-3 OR y=2m-3
Step-by-step explanation:
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error? 1 point 82.6% 21% 20% 17.4% Last week, you finished Hurry
Answer:67
Step-by-step explanation: 82.6% is over 49
Solve the equation.
8 (2-6v) +19=-61
Answer:
v = 2
Explanation:
8(2 − 6v) + 19 = −61
[ Simplify both sides of the equation ]
8(2 − 6v) + 19 = −61
(8)(2) + (8)(−6v) + 19 = −61 (Distribute)
16 + −48v + 19 = −61
(−48v) + (16 + 19) = −61 (Combine Like Terms)
−48v + 35 = −61
−48v + 35 = −61
[ Subtract 35 from both sides ]
−48v + 35 − 35 = −61 − 35
−48v = −96
[ Divide both sides by -48 ]
−48v / -48 = −96 / -48
v = 2
- PNW
Find X HELP ME please!!
Answer:
The answer is A) 3 Hope this helped
A transformation is given by the rule (x,y) → (x +3, y - 8). Which of the following describes the effect of this transformation on an object
A a translation by 8 units left and 3 units up
B a rotation by 90 counterclockwise about the origin
C a translation by 3 units right and 8 units down
D a reflection across the line 2 = 3
Answer:
3
Step-by-step explanation:
Answer:
C a translation by 3 units right and 8 units down
Step-by-step explanation: This answers the Unit 3 summative assessment N-gen Math
I need to know the answer lol
Answer:
5/12
Step-by-step explanation:
given the function f(x)= 3^ - 2 what is the value of f (3)
what is the percent increase from 70 to 84
Answer:
20%
Step-by-step explanation:
find the answer in simplest form 3/7x2/3
Answer:
7 6/7 or 7.8571429
Step-by-step explanation:
The simplest form of the given expression (3/7) x (2/3) is 2/7.
The expression is given as:
(3/7) x (2/3)
The numerator will be 3 x 2 = 6, and the denominator will be 7 x 3 = 21.
So, the simplified form of (3/7) x (2/3) is 6/21.
However, we can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.
Dividing 6 and 21 by 3 gives us 2 and 7 respectively.
Therefore, the simplest form of (3/7) x (2/3) is 2/7.
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A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm
Answer:
6 < third side < 14
Third side must be greater than 6 and less than 14
Step-by-step explanation:
A triangle can be formed from 2 sides of any length.
The third side must be longer than the difference of the other 2 sides and
the third side must be less than the sum of the other 2 sides.
(if this question is from k12 lesson check)
what is 8x+6 simplified?
Answer:
4x+3
Step-by-step explanation:
8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.
Answer:
speed = distance / time
Jana's speed is
speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h
Select all the equations below that have a slope of -5.
A
y=2x−5
B
y=−5x+2
C
y=10−5x
D
y=10x−5
Write the linear
equation in slope
intercept form:
6x+3y=0
Answer:
y=-6x/3
Step-by-step explanation:
6x+3y=0
3y=-6x
y=(-6/3)x