Answer:
81
Step-by-step explanation:
divide 405 by 5 to get the number of rotations per minute.
Answer:
81 spins per minute
Step-by-step explanation:
Divide 405 by 5 to get 81 <(your unit rate)
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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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
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answer:
1 game
15/5=3
4-3=1
Hope it helps
please follow me
Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
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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!
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
How many solutions are there to the equation below?
4x-9(x+ 1) = 20- 5x
OA. 1
O B. 0
OC. Infinitely many
Answer:
no solution
Step-by-step explanation:
heres why:
Let's solve your equation step-by-step.
4x−9(x+1)=20−5x
Step 1: Simplify both sides of the equation.
4x−9(x+1)=20−5x
4x+(−9)(x)+(−9)(1)=20+−5x(Distribute)
4x+−9x+−9=20+−5x
(4x+−9x)+(−9)=−5x+20(Combine Like Terms)
−5x+−9=−5x+20
−5x−9=−5x+20
Step 2: Add 5x to both sides.
−5x−9+5x=−5x+20+5x
−9=20
Step 3: Add 9 to both sides.
−9+9=20+9
0=29
so there are no solution
Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answer:
$9.13
Step-by-step explanation:
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
NEED HELP! GIVING BRAINLIEST!
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
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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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
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
Imagine that you are of traditional college age and you apply for a direct marketing position, and in the interview for the position, you are told that you look to young for the position. You have been discriminated against. This is a violation of:___________
Answer:
when grounds intersect.
Step-by-step explanation:
Analyzing the information related to the question above, it is possible to identify that the candidate for the direct marketing position suffered a violation when the grounds intersect.
It is correct to state this on the basis that the candidate was of traditional university age, but in the interview it is said that young people are sought for the position.
This type of discrimination can occur when the individual is discriminated against due to overlapping of several reasons, in the case of the candidate he was seen as a person older than he appeared to be, even though he was a requested age.
Find the value of x.
(8x+19)(9x+9)
Please give step by step
SOLUTION STEPS
(8x+19)(9x+9)
Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.
72x 2 +72x+171x+171
Combine 72x and 171x to get 243x.
72x 2 +243x+171
hopefully my weird explanation 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
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.
given the function f(x)= 3^ - 2 what is the value of f (3)
So I need help with this. Why Do we seat?
Answer:
When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.
Step-by-step explanation:
hope this helps
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
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
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:
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
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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Question 2
1 pts
Seven friends compared vacation plans. All are planning to drive to their destinations.
Find the median distance for the seven travelers.
Distance in
Friend
km
1
435
2
158
3
254
450
4
5
192
219
6
7
457
192 km
I need to know the answer lol
Answer:
5/12
Step-by-step explanation:
WILL MARK BRAINLIEST!!
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
find the factorization of the polynomial below 49x2+70+25
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
Larry ordered 5 1/2 subs. He wants to share the subs with 4 friends and himself. Larry thinks they will each
receive 1 1/4 subs. Is Larry correct? Why or why not?
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answer:it’s 15.4
Step-by-step explanation:
I just took the test
Answer: B. 14.9
Not C.
Step-by-step explanation: