Answer:
x= 3
Step-by-step explanation:
2x+3=9
2x = 6
x=6/2
x=3
Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.
64t = 384
What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour
9514 1404 393
Answer:
A. 64 miles per hour
Step-by-step explanation:
In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.
Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...
(miles/hour) × (hours) = miles
With numbers/variables, that is ...
(64 miles/hour) × (t hours) = 384 miles
The unit rate is 64 miles per hour.
Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.
Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Answer:
The sum is 11
Step-by-step explanation:
Hope this helped have an amazing day!
A substance has a density of 0.70 g/mL, if it has a volume of 3.0 mL, what is its mass?
Answer:
2.1 gStep-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
mass = Density × volume
From the question we have
mass = 0.70 × 3
We have the final answer as
2.1 gHope this helps you
what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -3
x = -2y - 1
Step 2: Solve for y
Substitution
Substitute in x: 3(-2y - 1) + 4y = -3Distribute 3: -6y - 3 + 4y = -3Combine like terms: -2y - 3 = -3Isolate y term: -2y = 0Isolate y: y = 0Step 3: Solve for x
Define equation: x = -2y - 1Substitute in y: x = -2(0) - 1Multiply: x = 0 - 1Subtract: x = -1What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1.
Answer:
A (y= -4x+1)
Step-by-step explanation:
The ‘+1’ in the answer represents the point at which the line cuts the y axis (it crosses the y axis at +1)
The -4x comes from finding the gradient of the line which is done by using the formula (y2-y1)/(x2-x1) which will give you -4
Look at the corresponding pairs of numbers on the top and bottom number lines. Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons and 150 related? How are 1 gallon and 30 miles related?
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Sally and her friends went to the county fair. They paid a total of $20 for their tickets. While at the fair, they bought 3 bags of cotton candy at x dollars each, 4 hamburgers at y dollars each, and 5 drinks at z dollars each. Which expression represents this situation?
Answer:
20 + 3x + 4y + 5z
Step-by-step explanation:
20 + 3*x + 4*y + 5*z
Answer:
20+3x+4y+5z
Step-by-step explanation:
Pam used the following process to find the y intercept of the line described by the equation 2y-y=11.
According to Pam's method, which expression gives the y-intercept of the line described by the equation ax+by=c?
a. -a/b
b. b/a
c. -b/c
d. c/d
Answer:
c/bStep-by-step explanation:
Given the expression ax+by = c, the y intercept of the line occurs at when x = 0
Substitute x = 0 into the expression and get the value of y
ax+by = c
a(0)+by = c
0+by = c
by = c
divide both sides by b
by/b = c/b
y = c/b
Hence the y intercept of the line occurs at y c/b
what is the answer to 3(4x-5)
Answer:
12x - 15
Step-by-step explanation:
3 times 4x is 12x
3 times -5 is -15
therefore, 12x - 15
AHH HELP-
solve for y.
-2x + y = 5
what does y equal and how did you solve it?
Answer:
x = - 5 + Y _ _ 2 2Step-by-step explanation:
I just moved all terms that don't contain x to the
right side and solved!
Hope this Helps!
PLS HELP MEEE ITS DUE IN A FEW MINUTES
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
Equating the expression for area to the given area
2x² - 7x - 4 = 45 ( subtract 45 from both sides )
2x² - 7x - 49 = 0 ← in standard form
To factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 49 = - 98 and sum = - 7
The factors are - 14 and + 7
Use these factors to split the middle term
2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )
2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)
(x - 7)(2x + 7) = 0
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -
Thus the positive value for x is x = 7
(also, this answer isn't mine, and love the fire by bts armyyy)
which system of inequalities is shown?
Answer:
d is the right answer.
y is greater than x
y is equal to 4
Step-by-step explanation:
4. write the following in standard form
four hundred, thirty - two thousand, six hundred eight
Need help with these ASAP please
Answer:
5. x= -8/3 y + 3
Step-by-step explanation:
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house
Answer:
$12,500
Step-by-step explanation:
Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.
Total change in the value of house= $245,000- $120,000=$125,000.
Total time (in years) between 2007 and 2017 = 2017-2007=10 years.
The value of the house changes by $125,000 in the time interval of 10 years.
So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.
Hence, the average annual rate of change in the value of the house is $12,500.
6. Find how long it takes $600 to double if it is invested at 12%
interest compounded monthly.
With work
Answer:
A = $697.09
Step-by-step explanation:
A = P (1 + r/n)
A = 600 (1 + 0.05/365)
A = $697.09
The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area
Answer:
12 ft²Step-by-step explanation:
Givenl = 3wP = 16A = ?SolutionUse perimeter formula
P= 2(l + w) = 2(w + 3w) = 8wFind width:
8w = 16 ⇒ w = 2 ftFind length:
l = 3*2= 6 ftFind area:
A = lw = 6*2 = 12 ft²The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On
which day would you expect that number to be reached?
A)
8
B)
9
o
10
D
11
Answer:
c 10
Step-by-step explanation:
the number is increasing by 4. keep adding 4 until you reach 62, day 10
Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
I need this ASAP!!! Please
Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?
a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
Add the two expressions.
-6.56 + 11 and 3.36 - 2
Answer: 4.1
Step-by-step explanation:
Hope it helped! Brainliest??
6th grade math i mark as brainliest
Answer:
138.8 is the answer
Step-by-step explanation:
i hoped it helped
Answer:
138.8
Step-by-step explanation:
214.8-76=138.8
hope u get it right
have a great day
Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle. The diagonals of a parallelogram bisect each other. If a quadrilateral has four right angles, then it is a square.
Answer:
The diagonals of a parallelogram bisect each other.Step-by-step explanation:
If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle.
False. This is rhombus.The diagonals of a parallelogram bisect each other.
TrueIf a quadrilateral has four right angles, then it is a square.
False. It is rectangle.You bought a video game for $35. You got it on sale
for 25% off. What was the price before the sale?
Which formula do we use to solve this?
A.Final Price Formula
B.Original Price Formula
Answer:
Sorry I feel bad I don't kt the answer sorry hope you find the answer tho
Step-by-step explanation:
sorry
I need some help with this.
Answer:
b is 16 d is 13
Step-by-step explanation:
ok is a baby girl that can I be happy
MULTIPLY.....WILL MARK BRAINLIEST
x^2(-10x^2+1)
Answer:
Step-by-step explanation:
Distributive property: a(b + c) = a*b +a*c
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}[/tex]
a graph artist created the design for a rectangular poster. the design is 12 inches by 9 inches. The poster is 48 inches by 36 inches. What scale factor did the graph artist use to create the design
Answer:
The ratio of the areas of the design and the poster is
(12*9):(48*36) = 1:16
plz i have 24 hrs to answer this... Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X? 1,200 - 15x > 25x
1,200 + 15x > 1,200 + 25x
1,200 - 15x < 25x
1,200 + 15x < 25x
=======================================================
Explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
----------------
In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
-----------------
So we found these two expressions
1200-15x25xto represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
Answer:
CStep-by-step explanation:
cause i got it right
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: (h)q^3
Step-by-step explanation: