Answer:
The system of equations that can be used to determine the three numbers are equation 1 and 6
x + y + z = 27 ----- ( 1 )
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Step-by-step explanation:
x + y + z = 27 ----- ( 1 )
x * z = 56 ------ ( 2 )
y / x = 1.5 -------- ( 3 )
from equation 3
x = y / 1.5 -------- ( 4 )
input equation 4 into ( 2 )
( y / 1.5 ) * z = 56
y * z = 37.33 ------ ( 5 )
from equation 5 ; z = 37.33 / y input back to equation 2
x ( 37.33 / y ) = 56
37.33 x = 56 y
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Calvin Butterball earns $400 working at the supermarket to help pay his share of a vacation trip with Phoebe Small's family. To supplement his earnings, Calvin's mother will give him an additional 20% of what he earns and his father will give him an additional 30% of what he earns. a. How much will he get from each parent?
Answer:
Mother = $80
Father = $120
Step-by-step explanation:
Given that :
Earning = $400
Amount gotten from mother = 20% of earning
Amount gotten from father = 30% of earning
Amount gotten from each parent :
MOTHER :
0.2 * $400 = $80
FATHER :
0.3 * $400 = $120
2 after a long morning of sledding, Mrs.Fieldhouse made a batch of hot cocoa for her daughter and neighborhood friends. She divided it among 8 mugs. Each mug has more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation
Answer:
[tex]\frac{x}{8}>9[/tex]
Step-by-step explanation:
step one:
given
we can say that the total amount of cocoa made by Mrs.Fieldhouse is
x ounces
Step two:
Since the total batch which is x ounces was divided into 8 mugs
then the expression is x/8
The inequality for the situation is
[tex]\frac{x}{8}>9[/tex]
how does
h(x)=-(x-3)^2+4
compare to the graph
g(x)=x^2
Here is parallelogram ABCD:
Prove segment is AM congruent to segment CM.
Plz help me it’s due today
The proof of AM being congruent to CM is as follows:
Given that,
ABCD is the ║gm
Diagonals AC and BD with M as the intersection point.
To prove:
AM ≅ CM
Proof:
In ΔAMD and ΔBMC,
∠M = ∠M (∵ Common)
AD = BC (∵ opposite sides of ║gm are equal)
∠ADM = ∠CBM (∵ Alternate angle)
∵ ΔAMD ≅ ΔBMC
Thus, AM ≅ CM (using AAS property).
Learn more about 'Parallelogram' here:
brainly.com/question/1563728
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST
Answer:
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Mathematically this is expressed as:
4(x + 3) + 2x = 6(x + 2)
Verifying the options
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
When x = 3
4(x + 3) + 2x = 6(x + 2)
4(3 + 3) + 2(3)= 6(3 + 2)
24 + 6 = 6(5)
30 = 30
When x = 5
4(x + 3) + 2x = 6(x + 2)
4(5 + 3) + 2(5)= 6(5 + 2)
4(8) + 10 = 6(7)
42 = 42
Statement in option a is correct
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
When x = 1
4(1 + 3) + 2x = 6(x + 2)
4(1 + 3) + 2(1)= 6(1 + 2)
4(4) + 2 = 6(3)
18 = 18
When x = 8
4(8 + 3) + 2x = 6(8 + 2)
4(11) + 2(8)= 6(8 + 2)
44 + 16 = 6(10)
60 = 60
Statement in option b is correct
c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.
When x = 2
4(x + 3) + 2x = 6(x + 2)
4( 2 + 3) + 2(2)= 6(2 + 2)
4(5)+ 4 = 6(4)
20 + 4 = 6(4)
24 = 24
4(x + 3) + 2x = 6(x + 2)
4(6 + 3) + 2(6)= 6(6 + 2)
4(9) + 12 = 6(8)
48 = 48
Statement in Option c is wrong
Hence, Statement in Option a and b is correct
Answer:
C
Step-by-step explanation:
(−0.25x + 6) + (7.5x + 6.4)
Answer:
(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65
Step-by-step explanation:
19.65 is the answer
If you need the simplified equation it is the following;
7.25x + 12.4
PLEASE HELP MEE !!
Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?
Marcus will have a total of ____ dollars saved.
Answer:
764
Step-by-step explanation:
12x22=264+500=764
hope this helps
help, I've been stuck on this and I need help asap
An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.
Answer:
2 3/5, 1 2/5, 1/2
Step-by-step explanation:
batch 1 2.6= 2 3/5
batch 2 1.4= 1 2/5
batch 3 0.5= 1/2
How do you factor 5x+10y+30z
Answer:
5(x+2y+6z)
Step-by-step explanation:
Answer:
5(x+2y+6z)
Step-by-step explanation:
Factor out 5 from the expression
Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 of the angelfish became sick 1/3
of the cichlid fish became sick
How many fish from Gregory's aquarium became sick?
Answer:
21 fish
Step-by-step explanation:
52/4=13
24/3=8
13+8=21
A line passes through the point (8,4) and is parallel to 9x + 3y=12 . What is the equation of the line?
product and quotient rule ,differentiate each function with respect to x, in calculus
y = (-4x^5+4) * 5x^⁵
Answer:
[tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = (-4x^5 + 4)5x^5[/tex]
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(-4x^5 + 4)]5x^5 + (-4x^5 + 4)\frac{d}{dx}[5x^5][/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]: [tex]\displaystyle y' = (5 \cdot -4x^{5 - 1} + 0)5x^5 + (-4x^5 + 4)(5 \cdot 5x^{5 - 1})[/tex]Simplify: [tex]\displaystyle y' = (-20x^4)5x^5 + (-4x^5 + 4)(25x^4)[/tex]Factor: [tex]\displaystyle y' = 5x^4 \bigg[ (-20x^4)x + (-4x^5 + 4)5 \bigg][/tex][Distributive Property] Distributive parenthesis: [tex]\displaystyle y' = 5x^4 \bigg[ -20x^5 - 20x^5 + 20 \bigg][/tex]Combine like terms: [tex]\displaystyle y' = 5x^4(-40x^5 + 20)[/tex]Factor: [tex]\displaystyle y' = -100x^4(2x^5 - 1)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Someone help
What is 3.5=12s-55
Answer:
4.875 = s
Step-by-step explanation:
3.5=12s-55
Add 55 to each side
3.5+55=12s-55+55
58.5 = 12s
Divide each side by 12
58.5/12 = 12s/12
4.875 = s
Answer:
s = 4.875
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3.5 = 12s - 55
Step 2: Solve for s
Add 55 to both sides: 58.5 = 12sDivide 12 on both sides: 4.875 = sRewrite: s = 4.875Step 3: Check
Plug in s into the original equation to verify it's a solution.
Substitute in s: 3.5 = 12(4.875) - 55Multiply: 3.5 = 58.5 - 55Subtract: 3.5 = 3.5Here we see that 3.5 does indeed equal 3.5.
∴ s = 4.875 is a solution of the equation.
Find the slope of the line through the points (13, 15) and (13, 19). Then find the slope of the line parallel and the line perpendicular.
We must find the slope of the original line using slope formula*.
[tex]m = \frac{19 - 15}{13 - 13} = \frac{5}{0} = 0[/tex]
Because the given points have the same x-coordinate, the slope is 0.
Given that the original line doesn't have slope, the other two lines won't have one either.
2x + 7 + 5x = 7 ( x + 8) how many solutions?
Answer:
no solution
Step-by-step explanation:
Can anyone help with this question? Ty
Answer:
c
Step-by-step explanation:
Rachel shared 50 peanuts equally among his 4 sisters. How many peanuts did Rachel have left after he gave his sisters their share?
Answer:
This the best I got. Hope it helps! ( found a faster way to backspace when ur typing lol) (ctrl+backspace)
Step-by-step explanation:
50 divided by 4
50/4
= 13.
Complete the sentence (20 points) marking correct answer brainliest
Answer:
Answers to questions:
1. MP and MQ2. PQ3. PM4. PN and NM5. ∠NQM and ∠NMQAnswer:
1. MP and MQ
2. PQ
3. PM
4. PN and NM
5. ∠NQM and ∠NMQ
Step-by-step explanation:
If you see and use the congruent lines on the triangle, and look at the givens, then you can work this answer out yourself
You can buy 3 apples at the quick market for $1.35. You can buy 5 of the same apples at stop and save for $1.00. Which place is the better buy
A store sells a pair of Wireless Beats Studio headphones for $350. If you have $150 and are selling candy bars for $3 each, how many candy bars must you sell in order to save enough money for the headphones? PLEASE HELP
Answer:
67 candy barsStep-by-step explanation:
Given
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = xRequired equation
3x + 150 = 3503x = 200x = 200/3x ≈ 67Concepts:
Finding XAnswer: 67 candy bars
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = unknown
3x + 150 = 350
3x ≈ 200
x = 200/3
x ≈ 67
Solve for p 6p-8n=12
Answer:
i need more information
Step-by-step explanation:
What is the answer to y=-2/3x0+1
Answer:
1 is the answer to this question
a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?
Answer:
18ft
Step-by-step explanation:
AC = CD = BA
CD = 2CE
BD = BA + AC + CD = 2CE + 2CE + 2CE
= 6CE
CE = 3
6 × 3 = 18
Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?
Given:
Rachel used [tex]\dfrac{1}{3}[/tex] of her savings to buy brushes.
She used [tex]\dfrac{3}{5}[/tex] of her savings to buy paint.
To find:
The fraction for remaining savings.
Solution:
Fraction that Rachel used of her savings to buy brushes and paint is
[tex]\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}[/tex]
[tex]=\dfrac{5+9}{15}[/tex]
[tex]=\dfrac{14}{15}[/tex]
Now,
[tex]\text{Fraction for remaining savings}=1-\text{Fraction for used amount}[/tex]
[tex]\text{Fraction for remaining savings}=1-\dfrac{14}{15}[/tex]
[tex]\text{Fraction for remaining savings}=\dfrac{1}{15}[/tex]
Therefore, [tex]\dfrac{1}{15}[/tex] of her savings is remaining.
A.4 trash bins
B.12 trash bins
C.20 trash bins
D. 64 trash bins
I NEED HELP PLEASE ):
Answer:
D. 64 trash cans
Step-by-step explanation:
The answer is D. because 1 * 16 = 16 so 4 * 16 = 64 trash cans.
Answer:
probably 64
think of 16=1
and 64 ÷ 16 is 4
a $260 suit price is marked down 10 % find the sale price
Answer:
260*0.90=sales price=234
Step-by-step explanation:
Step-by-step explanation: We first need to find the discount.
The formula for discount is shown below.
Original Price × Rate of Discount = Discount
So here, the original price is $260 and the
rate of discount is 10% off which we can write as .10.
So we multiply 260 by .20
260 x .10 gives us 26.
So the discount is $26.
Now let's find the sale price.
The formula for sale price is shown below.
Original Price - Discount = Sale Price
Since the original price is $260 ad the discount is $26,
we have 260 - 26 which gives us 234.
So the sale price of the suit is $234.
Which equation shows the relationship between days (d) and weeks (w)? *
Answer:
I think it is w=7d
Step-by-step explanation:
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute.
Complete question :
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?
Answer:
4 minutes
Step-by-step explanation:
Given the following exercise routines :
Routine #1,
Walking : burns 22 calories walking. He then running : burns 10.5 calories per minute.
Routine #2,
Walking : burns 39 calories walking. He then running : burns 6.25 calories per minute.
Let number of tone spent running = t
Hence,
Routine 1 ; calories burned
22 + 10.5t
Routine 2 ; calories burned
39 + 6.25t
Equating the two equations :
22 + 10.5t = 39 + 6.25t
10.5t - 6.25t = 39 - 22
4.25t = 17
t = 17/4.25
t = 4
What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? (1 point)
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n = 1/2
Step-by-step explanation:
Brainliest?!