A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807, how many rooms of each kind were rented? system of equations
Let, number of double rooms and single rooms are d and s.
d + s = 26 ....1 )
Hotel rents double rooms at $34 per day and single rooms at $27 per day.
34d + 27s = 807 ....2)
Solving equation 1 and 2, we get :
34( 26 - s ) + 27s = 807
884 - 34s + 27s = 807
7s = 77
s = 11
And d = 26 - 11 = 15
Therefore, number of double rooms and single rooms are 15 and 11.
Hence, this is the required solution.
1) Solve by using elimination.
x-3y = 7
3x + 3y = 9
Answer:
( 3 - 3 )
Step-by-step explanation:
I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.
Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase on the dates they have chosen to travel.
Answer:
5
Step-by-step explanation:
The following is a square, find VT
Answer:
62
Step-by-step explanation:
The diagonals are equal, so set both equations equal to each other and solve. When you find x, plug it into the equation and multiply your final answer by 2.
A56-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces
Answer:
Here ANSWER
X+2x+5x = 56. Divide 56 by 8 to get 7 = x. First=7. Second=14, third=35
Step-by-step explanation:
The angle measures of a triangle are (x + 20)°, (7x + 11)°, and (4x - 7)°. Which of the following is NOT one of the angle measures of the triangle?
A. 33°
B. 102°
C. 74°
D. 45°
Answer:
Step-by-step explanation:
73
three hundred eighty-nine billion, nine hundred thirty-six million, two hundred six thousand, seven hundred sixty-seven in standard form
Answer:
389,936,206,767
Step-by-step explanation:
Answer:
389,936,267,767
Step-by-step explanation:
thats the one
I’ll give brainliest :)!
Answer:
-13
Step-by-step explanation:
g(1) = -5*1 = -5
f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $21.15.
Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of
glass?
Answer:
Your answer is going to be $4.70.
Step-by-step explanation:
21.15/9= 2.35
2.35*2=4.70
A straight line, L, has equation 3y = 5x - 6. Find the gradient of L,
Answer:
5/3
Step-by-step explanation:
3y = 5x - 6
y = 5/3x - g
using y = mx + b
gradient = m
gradient = 5/3
Write a quadratic function in the vertex form such that the graph of the function has a vertex at (6, -2) and passes through point (9, -11).
5(x+4)= -2(-4-x)+3
what is the answer?
Answer:
x=-3
Step-by-step explanation:
first multiply them out: 5x+20=2x+11
then subtract both sides by 2x: 3x+20=11
subtract both sides by 20: 3x=-9
divide both sides by 3: x=-3
Answer:
x = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5(x + 4) = -2(-4 - x) + 3
Step 2: Solve for x
Distribute: 5x + 20 = 8 + 2x + 3Combine like terms: 5x + 20 = 2x + 11Subtract 2x on both sides: 3x + 20 = 11Subtract 20 on both sides: 3x = -9Divide 3 on both sides: x = -3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-3 + 4) = -2(-4 - -3) + 3Simplify: 5(-3 + 4) = -2(-4 + 3) + 3Add: 5(1) = -2(-1) + 3Multiply: 5 = 2 + 3Add: 5 = 5Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
If the point R (x, y) is equidistant from two points P (- 3, 4) and Q (2, – 1), prove that
y = x + 2.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance between (x, y) and the 2 given points and equate them.
Using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = P(- 3, 4)
d = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Repeat with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = Q(2, - 1)
d = [tex]\sqrt{(2-x)^2+(- 1- y)^2}[/tex]
Equating both distances
[tex]\sqrt{(2-x)^2+(-1-y)^2}[/tex] = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Square both sides
(2 - x)² + (- 1- y)² = (- 3 - x)² + (4 - y)² ← expand and simplify both sides
4 - 4x + x² + 1 + 2y + y² = 9 + 6x + x² + 16 - 8y + y²
subtract x² + y² from both sides
5 - 4x + 2y = 25 + 6x - 8y ( add 8y to both sides )
5 - 4x + 10y = 25 + 6x ( subtract 5 from both sides )
- 4x + 10y = 20 + 6x ( add 4x to both sides )
10y = 10x + 20 ( divide all terms by 10 )
y = x + 2 ← as required
What property would you use to solve. 6x=72
Answer:
divison i believe
Answer: Multiplication Property of Equality
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.
Answer: 32.0%
Step-by-step explanation:
The price of car last month = $250
The price of the car this month = $330
Increase in price = $330 - $250 = $80
Percentage increase = (Increase in price/Cost price last month) × 100
= $80$250 × 100
= 0.32 × 100
= 32.0%
The percent of increase in the price of the car is 32.0%.
Please help me figure out what the slop-intercept form is. Also, what is the solution to the system?
Answer:
p= y=6x+2
Q= y=-2x+2.5
Step-by-step explanation:
the formula is y=mx+b
M=slope
B=y-intercept
The y-intercept is the number that your line goes through
The slope is two ordered pairs where you use the formula rise over run to find your slope.
Write the equation in point-slope form that contains the point (-4,-9) and m=-3.
Answer:
y=-3x-21
Step-by-step explanation:
slope= -3
y-intercept= -21
Lauren predicts she will take 129 photos during vacation. If Lauren actually takes 111 photos, what is Lauren's percent error? Round your answer to the nearest tenth.
Answer:
Lauren's percent error = 13.95% Approx
Step-by-step explanation:
Given:
Number of photos predict = 129
Number of photos actual = 111
Find:
Lauren's percent error
Computation:
Lauren's percent error = [(Number of photos predict - Number of photos actual)/(Number of photos predict)]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(18)/129]100
Lauren's percent error = 13.95% Approx
What is the equation helppp
Answer:
y=2x+4
Step-by-step explanation:
Answer:
The slope-intercept equation is y=2x+4
Step-by-step explanation:
The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run. I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.
Given the figure above, determine
Answer:
∠ C = 55°
Step-by-step explanation:
∠ W and ∠ A are adjacent angles and are supplementary, then
∠ A = 180° - ∠ W = 180° - 134° = 46°
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for ∠ C
∠ C = 180° - (46 + 79)° = 180° - 125° = 55°
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
Which similarity statement describe the relationship between the two triangle? Check all that apply
Answer:
If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar
Roselyn is making a stir fry. The recipe calls 4 cups of broccoli but she only has 2/3 cup measure. How many measuring cups of broccoli should she add
Answer:
Remaining cups = 10/3 cups
Step-by-step explanation:
Given:
Total amount of broccoli = 4 cup
Amount of broccoli used = 2/3 cup
Find:
Remaining cups
Computation:
Remaining cups = Total amount of broccoli - Amount of broccoli used
Remaining cups = 4 - 2/3
Remaining cups = (12-2) / 3
Remaining cups = 10/3 cups
PLEASE HELP ASAP!!!!
the graph below models an exponential relationship. drag one equation and one table to match the relationship shown.
Answer: y=-2^x is an equation.
I got the second one wrong.
The base of the exponential relationship that gives the graph that is below
the horizontal x-axis has a negative constant coefficient.
The equation that matches the given relationship is the option; y = -2ˣThe table that matches the relationship is the option;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]Reasons:
Points on the graph are; (0, -1) (1, -2), and (2, -4).
The above points can be presented in a tabular form as follows;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]
The above table which corresponds with the first table is the table that
matches the relationship of the graph.
By using the equation, y = -2ˣ, we have;
At x = 0, y = -(2⁰) = -1 which gives the point (0, -1)
At x = 1, y = -2¹ = -2, which gives (1, -2)
At x = 2, y = -2² = -4, which gives (2, -4)
The above points are the points on the graph, therefore, the equation is the option; y = -2ˣ
Learn more about exponential functions here:
https://brainly.com/question/2584841
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
I need to find the answer to B
Answer:
a) The next two terms are: 13, 16
b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Step-by-step explanation:
a) Find the next two terms of sequence: -2,1,4,7 and 10
The common difference d: a₂-a₁ = 1-(-2)= 3
a₃-a₂= 4-1 = 3
a₄-a₃=7-4=3
So, common difference is : 3
Next two terms are: 10+3 = 13
13+3= 16
The next two terms are: 13, 16
b) Find nth term of the sequence
The nth term can be found using formula:
[tex]a_n=a_1+(n-1)d[/tex]
where a₁=First term and d=Common Difference
In the sequence given we have a₁=-2 and d=3
So, the nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]
So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Solve 3x + y = 1 for y*
Answer:
y = 1 - 3x
Step-by-step explanation:
hopes this helps
Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14.
A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
Selecting the graph that represents the solution of the compound inequalityfrom the question, we have the following parameters that can be used in our computation:
–6 ≤ 4x + 6 < 14
Subtract 6 from all sides
So, we have
–12 ≤ 4x < 8
Divide through by 4
–3 ≤ x < 2
The number line that represents this is (d)
Read more about inequality at
https://brainly.com/question/32124899
#SPJ1
Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation:
9.5 x 7 =
Solve the problem
Answer:
66.5
Step-by-step explanation:
9.5 × 7 is 66.5
Hope this helps!