Answer:
One solution
Step-by-step explanation:
Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:
3(7x + 4 ) - 2x + 8 = 5x + 12
First, we'll distribute the 3 onto the values on the left:
3(7x) + 3(4) - 2x + 8 = 5x + 12
21x + 12 - 2x + 8 = 5x + 12
Now, we can combine like terms. They are underlined and boldfaced below:
21x + 12 - 2x + 8 = 5x + 12
21x - 2x + 12 + 8 = 5x + 12
19x + 20 = 5x + 12
Next, let's take away 5x from both sides:
19x - 5x + 20 = 5x - 5x + 12
14x + 20 = 12
Finally, we'll subtract 20 from both sides:
14x + 20 - 20 = 12 - 20
14x = -8
Now, all we have to do is divide both sides by 14.
14x/4 = -8/14
x = -4/7
It looks like there is only one solution for x: -4/7. Hopefully that's helpful!
WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.
Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.
The expressions that can be used to derive the quadratic inequality for the
situation are;
Cost: 10 + xCustomers: 16 - 2·xReasons:
The parameters of the restaurant are;
The charge per buffet = $10
Number of customers that choose the buffet every hour = 16 customers
For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.
The required minimum revenue per hour = $130
Required:
The situation is to be modelled as a quadratic inequality.
Two expressions for the situation, one for the cost and one for the
customers.
Assumption: x = The number of $1 increases in the cost of the buffet
Solution:
The expressions are;
The cost of the buffet for an increase in x dollars is; Cost = 10 + xThe expression for the customers when the cost increases by x amount is; Customer = 16 - 2·xWhich gives;
Cost × Customers = Revenue
The inequality that models the situation is therefore;
(10 + x) × (16 - 2·x) ≥ 130
Which gives;
160 - 20·x + 16·x - 2·x² ≥ 130
160 - 4·x - 2·x² ≥ 130
Learn more about inequalities here:
https://brainly.com/question/10081223
Answer:
Cost: 10 + x
Customers: 16 - 2·x
Step-by-step explanation:
I got it right. Hope this helps.
Picture has it Solving Quadratics & Other Equations
Answer: p=6 and r=8
Step-by-step explanation:
A) Add exponents when multiplying: [tex]x^{4}[/tex] * [tex]x^{2}[/tex] = [tex]x^{6}[/tex] p = 6
B) Multiply exponents when raised to a power: r = 8
Please help me
RIGHT ANSWERS ONLY
Answer:
90 adults
Step-by-step explanation:
Let's make this an equation
We can add 5+3 giving us 8
Let's make it 8x=144
Solve for x
Divide 8x by 8 = 1x
144 ÷ 8 = 18
Now since we're looking for the adults we multiply by 5
18*5=90 adults
What is the total mass if 120% of the mass is 720 kg?
Answer: 600
Step-by-step explanation:
Let the mass as x.
So,
120% of x = 720
» 120 x/100 = 720
» 6 x / 5 = 720
x = 720×5 / 6
= 120 ×5 = 600 Ans.
helpfully...
brainliest.
Answer:
= 120 ×5 = 600 Ans.
Step-by-step explanation:
Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
$6.00 for 3 chocolate bars how many did he pay per bar
Answer:
$2.00
Step-by-step explanation
To solve this problem, divide $6 by 3 bars which is $2 a bar
Answer:
One bar= $2
Step-by-step explanation:
6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
PLZZZZ HELPPPP MEEEEEE
Answer:
13
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
As a fundraiser, a club is selling posters. The printer charges a $15 set-up fee, plus $0.85 for each poster. The cost y in dollars to print x posters is given by y = 0.85x +15.
(a) What is the cost y in dollars to print 30 posters? To print 100 posters?
(b) Find the number of posters x if the printer billed the club for costs of $185.
(c) Write the information from parts (a) and (b) as three ordered pairs.
(d) Use the data from part (c) to graph the equation.
(a) The cost y to print 30 posters is $___ and to print 100 posters is $___.
Answer:
See below for answer
Step-by-step explanation:
A. y = 0.85x + 15 when x = 30
y = 0.85(30) + 15
y = 40.5
y = 0.85x + 15 when x = 100
y = 0.85(100) +15
y = 100
B. y = 0.85x + 15 when y = 185
185 = 0.85x + 15
185 - 15 = 0.85x
170 = 0.85x
170/0.85 = x
200 = x
C (30, 40.5)
(100, 100)
(200, 185)
Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.
d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1
Help pleaseee giving brainliest !
Answer:
the answers you chose are correct.
Step-by-step explanation
b and d
4y-10+3.14=180
value of y
Answer:
The value of y is 46.715
Step-by-step explanation:
4y-10+3.14 = 180
4y = 180 + 10 - 3.14
4y = 186.86
4y ÷ 4 = 186.86 ÷ 4
y = 46.715
Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £
Answer:
£5.20
Step-by-step explanation:
The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.
change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20
Erin gets £5.20 in change.
Use matrices to rotate the vector v=<-4 , 1> by 270°. Write the resulting vector in component form
Using rotation rules, it is found that the resulting vector is:
v = <1, 4>
When a vector in component form <x,y> is rotated by 270 degrees, the rule is:
<x, y> -> <y, -x>
That is, x and y are switched, and the signal of x changes.
In this problem, the vector is v <-4, 1>, hence:
<-4, 1> -> <1, -(-4)> -> <1,4>
Hence, <1,4> is the resulting vector.
A similar problem is given at https://brainly.com/question/12673036
Please see help, please
Answer:
69
Step-by-step explanation:
420
what's the slope and y-intercept for -30+10y=-2x ?
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
LOL
Simplify: (13/11)x(-14/5)+(13/11)x(-7/5)+(-13/11)x(34/5)
Thankyou
Answer:
In this I have answered this problem.
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.
x2y3 +
xy2 +
y
Answer:
final answer: 58xy
Step-by-step explanation:
24xy + 4xy - 2y + 42xy - 12xy + 2y
(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)
(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy
58xy + ( - 2 + 2)xy
58xy + 0y
58xy
Answer:
1st one is 11
2nd one is -4
3rd one is 0
Step-by-step explanation:
no need
you can trust me :)
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answer:
the answer is -2
Step-by-step explanation:
-2........
Which statement is a true conditional with a converse that is also true?
If an angle measures more than 90 degrees, then the angle is obtuse.
If x = 4, then x2 = 16.
If a figure is a square, then it is a quadrilateral.
If two angles are complementary, then the angles have a sum of 180 degrees.
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
Read more about equations at:
https://brainly.com/question/2972832
PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?
Four less than a number is 12.
A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4
Answer:
B
Step-by-step explanation:
n is a number. 4 less then that number translates to n-4, so the answer is B:
n-4=12
Hope that helps! :)
Answer:
C: n-4= 12
Step-by-step explanation:
To understand why this answer is correct, lets break down the sentence.
Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.
What is the product of 2x + y and 5x - y + 3?
answer: 10x² - y² + 3xy + 6x + 3y
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answer:
y = 1/3
Step-by-step explanation:
[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]
2 1/5
Step-by-step explanation:
Any where u see x u write 7;2(7)-9y=11
14-9y=11
Divide both sides by the difference of 14 and 9y
11/5y ; y=2 1/5
Explain why the square root of a number or variable can be either positive or negative.
Answer:
Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.
Step-by-step explanation:
a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.
Answer/Step-by-step explanation:
The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.
Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.
Helppp!! I cant get this wrong lol
Answer:
x = 2
y = -7
Step-by-step explanation:
First, we see that all the terms in the first equation can be divided by 7:
-x + y = - 9
Then we solve for x by adding adding x and 9 to both sides:
-x + x + y + 9 = -9 + 9 + x
it cancels out to:
y + 9 = x
Now, replace x in the second equation with (y + 9):
28(y + 9) - y = 63
Now simplify:
28(y) + 28(9) - y = 63
27y + 252 = 63
27y = 63 - 252
27y = -189
y = -7
Plug in the value for y in the equation for x:
y + 9 = x
-7 + 9 = x
x = 2
Answer:
-7x +7y = -63(i)
28x -y = 63 (ii)
Divide eq(i) by 7
-x + y = -9 (iii)
28x -y= 63 (ii)
Add (iii) and ii
-x + y = -9
28x - y = 63
------------------------
-x +28x +0 = -9 +63
27x = 54
●x = 2
Put x=2 in any eq..
Lets put in eq[i]
-7 (2) + 7y =-63
-14 + 7y = -63
7y = -63 +14
7y=49
●y=7
BRAINLIST PLS
15 POINTS! NEED ANSWER RIGHT AWAY!!!
Select from the drop-down menus to correctly complete the statements about the expression 5k + m/3.
The expression 5k + m/3 is a Choose… [sum or difference]. The term 5k is an addend, but it is also a Choose…[product or difference]. The term m/3
is an addend, but it is also a Choose…[sum or quotient].
Answer:
911
Step-by-step explanation:
The expression 5k+m3 is a sum. The term 5k is an addend, but it is also a product. The term m3 is an addend, but it is also a quotient.
Find the midpoint of the following
two coordinates:
(3, 1) and (5,5)
Hint: x1 + x2 Y1 + y2
2.
9
2.
A. (3, 4)
B. (2, 4)
C. (4,3)
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Answer:
C, just use the formula.
Step-by-step explanation:
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Learn more here: https://brainly.com/question/23004769