the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day care write an expression for the total cost of this week day care then evaluate the expression
Answers
An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.
How to write an expression for the total cost?In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:
Let the cost for full-day be F.Let the cost for half-day be H.Let total cost be T.Thus, the total cost of the daycare is given by:
T = 3F + 2H
Evaluating the expression, we have:
T = 3(28) + 2(15)
T = 84 + 30
T = $114.
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Related Questions
What is the equation of a line with a slope of -1 and a y-intercept of -5?
Answers
Answer:
y = -x - 5
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
Since you have been given the slope and y-intercept, you can substitute these values into the equation to find the answer.
m = -1
b = -5
y = mx + b
y = (-1)x + (-5)
y = -x - 5
Answer:
y = -x -5
Step-by-step explanation:
We can use y = mx + c to find the equation of the line.
Here,
m ⇒ slope of the line
c ⇒ y - intercept
They have already given that,
m ⇒ -1
c ⇒ -5
So, now we can write the equation of the line like this.
To write the equation of the line you can replace m and c with -1 & -5 respectively.
Let us write now.
y = m x + c
y = -1x - 5
In any triangle ABC, if c=30°,b= 4, a=2 find A and B.
Answers
Using the Law of Cosines,
[tex]c^{2}=2^{2}+4^{2}-2(2)(4)(\sin 30^{\circ})\\\\c^{2}=12\\\\c=2\sqrt{3}[/tex]
Using the Law of Sines,
[tex]\frac{\sin A}{a}=\frac{\sin C}{c}\\\\\frac{\sin A}{2}=\frac{\sin 30^{\circ}}{2\sqrt{3}}\\\\\frac{\sin A}{2}=\frac{1}{4\sqrt{3}}\\\\\sin A=\frac{1}{2\sqrt{3}}\\\\A=\boxed{\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
So, as angles in a triangle add to 180 degrees,
[tex]B=180^{\circ}-30^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)\\\\B=\boxed{150^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
10 more than w is equal to 40 what is the expression
Answers
Answer:
w + 10 = 40
Step-by-step explanation:
10 more than w is w + 10 is equal to 40 is =40
w + 10 = 40
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Answer:
10 + w = 40Step-by-step explanation:
10 more than w is equal to 40 what is the expression
10 + w = 40 is the expression
w = 40 - 10
w = 30 is the solution
What conclusions can you draw from the first battles in the civil war?
Answers
o. Find the domain and range of each of the three restricted functions.
Type your response here:
Domain
(restricted)
Function
Range
I
f(x)=sin(x)
f(x) = cos(x)
f(x) =tan(x)
Answers
The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The three restricted functions are given below.
f(x) = sin (x)
f(x) = cos (x)
f(x) = tan (x)
Then the domain of the three restricted functions will be
The domain of sin x will be (-∞, ∞).
The domain of cos x will be (-∞, ∞).
The domain of tan x will be R - (2n + 1)π/2.
Then the range of the three restricted functions will be
The range of sin x will be [-1, 1].
The range of cos x will be [-1, 1].
The range of tan x will be (-∞, ∞).
The graph is given below.
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Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answers
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
What is the area of the triangle below?
O27 square units
O 45 square units
O 54 square units
20
Answers
A triangle is a 2-D shape that has 3 sides and angles. The area of the triangle below is 27 square units
Area of a triangleA triangle is a 2-D shape that has 3 sides and angles
In order to determine the area of the shape, we will determine the area of the square circumscribing it first;
Area of the square = 10 * 9 =90 square units
Find the area of the two right triangles
Area of the right triangles = 0.5(10 * 9) + 0.5(9 * 4)
Area of the right triangles = 45 + 18
Area of the right triangles = 63 square units
Take the difference
Area of the given triangle = 90 - 63 = 27 square units
Hence the area of the triangle below is 27 square units
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What is the value of 4x-7 when x = 4?
O 1
09
O 16
23
Answers
Answer:
9
Step-by-step explanation:
Given expression: 4x - 7
To determine a numerical value of the provided expression, when x = 4, simply substitute the value of x into the expression and simplify it using the order of operations (PEMDAS). Work has been shown below.
[tex]\implies 4x - 7[/tex][tex]\implies 4(4) - 7 \ \ \ \ \ \ [\text{Substituting the value of x}][/tex]Simplify the expression using PEMDAS:The PEMDAS stands for:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionFirst - LastAccording to the PEMDAS, it is required to simplify the expression using multiplication (M in PEMDAS) firsthand, as there are no parentheses (P in PEMDAS) and exponents (E in PEMDAS). Thus, we get the following:
Please refer to underlined text for simplification of that expression.
[tex]\implies 4 \times 4 - 7[/tex][tex]\implies \underline{4 \times 4} - 7}[/tex][tex]\implies {16 - 7}[/tex]Clearly, we can see that division (D in PEMDAS) and addition (A in PEMDAS) is not occurring in the expression. Therefore, we will need to subtract the two terms (16 and 7). Thus, we get the following simplified term:
[tex]\implies \underline{16 - 7}[/tex][tex]\implies \boxed{9}[/tex]Therefore, the value of 4x - 7, when x = 4, is 9.
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A single line
B. A pair of intersecting lines
C. A point
D. A pair of parallel lines
Answers
Answer:
B. A pair of intersecting lines
Step-by-step explanation:
The attached image can give you an idea of what you get when a plane perpendicular to the base of a cone intersects the vertex of the cone.
__
In the problem statement here, we assume a double-napped cone with no defined base. That means the lines of intersection with the sides of the cone will meet at the vertex point and extend indefinitely in either direction.
The intersection is a pair of intersecting lines.
I NEED HELP ASAP
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Answers
Answer:
8
Step-by-step explanation:
each times she draws there is 3 blue marbles that she can pick so her chance of picking one blue marble out of the box is 3/8 hope i helped!
Answer: 3/8
Step-by-step explanation:
what is the y-intercept of the graph of y = 4^x-2?
Answers
Answer: Hope this helps you.
-2
Step-by-step explanation:
y = mx+b (B is y-int)
y = 4^x-2
-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2
[tex]y = {4}^{x} - 2 \\ for \: y \: intercept \: x \: s \\ is \: 0 \\ y = {4}^{0} - 2 \\ y = 1 - 2 \\ y = - 1 \\ [/tex]
Y intercept : (0,-1)
Hope it helps
please give brainliest
Jonathan’s temperature this morning was 38.2°C. After 2 hours, it was 39.5°C. All are true about Mark’s condition EXCEPT
*
1 point
a. His condition worsened.
b. His condition improved.
c. His temperature went up by 1.3 C°
d. He has high fever.
2. The temperature of freshly baked hot malungay pandesal is 68°C; while hot coffee is 85°C. What is the difference between the two temperatures?
*
1 point
a. 15°C
b. 17°C
c. 23°C
d. 2.3°C
3. At 8:00 AM, the temperature in the room was 25.6°C. By noon, it had gone up by 2.5 C°. But by 6:00 PM, it had gone down by 3.3 C°. What was the temperature in the room at 6:00 PM?
*
1 point
a. 28°C
b. 24.8°C
c. 28.4°C
d. 28.5°C
Answers
Answer:
a
b
b
:)
Step-by-step explanation:
hi brother i have got the answer hope its correct
At the stadium, there are eight lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 190 per minute and each customer takes (on average) 2 seconds for a worker to process. The coefficient of variation for arrival time is 1.2 and the coefficient of variation for service time is 1.5. (1) How much time (in seconds) will an average customer spend in queue
Answers
Answer:
3.287 Customers
Step-by-step explanation:
Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.
Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.
Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.
Find the LCM of 16x² and 40x5
Answers
Answer:
The LCM of 16x^2 and 40x^2 is 80x^5
:) Good Luck
Step-by-step explanation:
What is the standard error of the sampling distribution of sample proportion?.
Answers
Answer:
√ (p(1-p) / n)
Step-by-step explanation:
Standard Error(SE) of the Sample Proportion: √ (p(1-p) / n). Note: as the sample size increases, the standard error decreases.
---Hope this helps you! Feel free to give feedback
please give me the answer to this
Answers
i beleive the answer is 2610.4109589
Give your answer in terms of [tex]\pi \\[/tex]
Answers
The length of the band in terms of π is given by the expression:
L = 40mm + π*10mm
How to get the length of the band?
Remember that for a circle of diameter D, the circumference is:
C = π*D.
Now, if you look at the image, you can see that the length of the band will be equal to 4 times the diameter of the pencils (one time for each side). Plus 4 times one-fourth of the circumference of each pencil (for the four corners).
because the diameter is 10mm, the length of the band will be:
L = 4*10mm + 4*(π*10mm/4)
L = 40mm + π*10mm
This is the length of the band in terms of π.
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2. Calculate the amount of compound interest paid on $7300 at the end of 3 years for each
rate. [2 marks each]
a) 10% compounded semi-annually
b) 8% compounded monthly
Answers
The compound interest when $7300 when interest is compounded semi annually is $2482.70.
The compound interest when $7300 when interest is compounded monthly is $1972.73.
What is the compound interest?An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.
The formula to represent compound interest is :
FV - amount invested
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsa. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70
Compound interest = 9782.70 = 7300 = $2482.70
b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73
9272.73 - 7300 = $1972.73
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Write -0.65 as a fraction or mixed number in simplest form. (you may use an improper or a mixed number as your final answer.)
Answers
Answer:
-13/20
Step-by-step explanation:
-0.65 can be written as -65/100. To simplify, divide both numerator and denominator with 5. 65/5=13. 100/5=20
And you get -13/20 for your answer.
Mickey drew a scale drawing of the room in his junior high building using the scale 1 centimeter (cm) - 1.5 meters (m). the office in his scale drawing measured 2.6 cm * 3.2 cm. what
are the actual dimensions of the office?
2.6 m x 3.2 m
1.7 m x 2.1 m
3.9 m x 4.8 m
4.1 m x 47 m
Answers
Answer:
3.9m x 4.8m
Step-by-step explanation:
1 cm = 1.5m
→ Multiply both sides by 2.6
2.6 cm = 3.9m
→ Multiply from the original statement, both sides by 3.2
3.2 cm = 4.8 m
→ Combine them
3.9m x 4.8m
MATH!!! (please answer correctly...) find the surface area of the prism
Answers
A=2(WL+HL+HW)
so 2(8*10+2*10+2*8)
Need help with this
Answers
Answer:
y = 130
Step-by-step explanation:
given that y varies directly with x and z then the equation relating them is
y = kxz ← k is the constant of variation
to find k use the condition y = 150 when x = 2.5 and z = 12 , then
150 = k × 2.5 × 12 = 30k ( divide both sides by 30 )
5 = k
y = 5xz ← equation of variation
when x = 4 and z = 6.5 , then
y = 5 × 4 × 6.5 = 20 × 6.5 = 130
Find the geometric mean of 5 and 8. Write your answer in the simplest radical form.
Answers
Answer:
First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10
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Answers
Answer:
See below
Step-by-step explanation:
Sine function would be easiest
in a right triangle sin = opposite leg / hypotenuse
sin 57 = 10.8 / x
then x = 10.8 / sin 57 then x = 12.88 units
What is the equivalent to 8 ounces?
Answers
Answer:
16 Tablespoons
Step-by-step explanation:
The area of a rectangular parking lot is 7081 m²
If the length of the parking lot is 97 m, what is its width?
Answers
Step-by-step explanation:
So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....
Area of square = l²Area of rectangle = l × bArea of rectangular parking lot = 7081 m²
length of parking lot = 97 m
Width = ?
Now,
Area = l × b
7081 = 97 × b
7081 / 97 = b
b = 73 m
Hence the width is 73 m....
Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14
Answers
Explanation: When you divide a number by a negative number, you switch the symbol. (Pls mark brainliest)
Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet released. The kite is 75 feet above her. The angle of the string and her hand is forming a 28 degree angle. Will she be able to win the competition? Show your work.
For question 1, will she win the competition? Type yes or no
Answers
Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
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calculate 20% of R400
Answers
Answer:
80Step-by-step explanation:
400: 100 you find 1% you multiply it by 20 and you have 20%
400 : 100 * 20 =
4 * 20 =
80
Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
(7 times 5) (7 times 2)
(7 times 7 times 7 times 7 times 7) (7 times 7)
StartFraction 7 times 5 Over 7 times 2 EndFraction
StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Answers
The equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\frac{7^5}{7^2}[/tex]
Expand the numerator and the denominator
[tex]\frac{7^5}{7^2} = \frac{7*7*7*7*7}{7*7}[/tex]
The above expression is represented by option (d)
Hence, the equivalent expression of [tex]\frac{7^5}{7^2}[/tex] is [tex]\frac{7*7*7*7*7}{7*7}[/tex]
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Answer:
StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
Step-by-step explanation:
Edge