Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
To know more about expressions follow
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what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
what is the area of the figure below use 3.14 for pie
Answer:
Answer CL 586 cm^2
Step-by-step explanation:
Hello. It's pi, not pie.
The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or
A1 = 63 cm^2.
The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.
The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2
Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or
586 cm^2 approximately.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
If someone could help me with it would be greatly appreciated. A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 85% salt. She wants to obtain 40 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?
Answer:
16 for Sol A and 24 for Sol B
Step-by-step explanation:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 40 y = 40 - x
.60x + .85y = .75(40)
.60x + .85y = 30 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 3000
60x + 85(40 - x) = 3000
60x + 3400 - 85x = 3000
-25x = -400
x = 16 ounces
y = 40 - 16
y = 24 ounces
ANSWER THIS AND ILL FRIEND YOU What is 4(5x+7)/2+5x simplified
Answer:
15x+14Step-by-step explanation:
[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]
A school crossing sign is shown. Find the measures of angle A and angle C
Answer:
m∠A = 135°
m∠C = 135°
Step-by-step explanation:
There are 540° in a pentagon.
You are given 3 90° angles
540-90(3) = 270
∠A and ∠C are congruent
270/2 = 135° each
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
In 2007, there were more than 8.14 million cars for sale. The number of cars then decreased by 23% per year. Write an exponential growth or decay model given by the number of c cars over t years after 2007. Use this model to estimate how many cars there were in 2013?
Answer:
In 2013 there were approximately 2.2 million cars for sale.
Step-by-step explanation:
Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:
[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]
Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:
[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]
If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.
[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]
In 2013 there were approximately 2.2 million cars for sale.
A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?
Answer:
2/6 or 1/3
Step-by-step explanation:
There are two numbers who are equal or less than 2 its 1 and 2
And the total is 6 so its 2/6 which is 1/3
Sorry if this is late
Answer:
0.33
Step-by-step explanation:
Which value would make the statement true?
Which of the following sets represent the range of the diagram below?
Answer:
D. {3, 5, 7}.
Step-by-step explanation:
The range is the set of output values.
It's {3, 5, 7}.
The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.
What is range of a set?
The range of a set is the values which are coming when we put the values of a set in a function.
How to find the range?
We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.
Hence the range of the set is option D which is {3,5,7}.
Learn more about range at https://brainly.com/question/2264373
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The volume of a cube is 8cm3, find the length of one of it's sides
Answer:
The side length is 2 cm
Step-by-step explanation:
The volume of a cube is s^3
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^ 1/3
2 = s
The side length is 2 cm
Answer:
2 cm
Step-by-step explanation:
The volume of a cube can be found using the following formula:
V=s^3
where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.
8 cm^3=s^3
We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.
(8 cm^3)^1/3=(s^3)^1/3
(8 cm^3)^1/3=s
2 cm=s
The length of one side is 2 centimeters.
two polygons are similar. What is the correct similarity statement?
Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
Answer: C) CBA ≅ LMN
Step-by-step explanation:
Match up the congruent angles:
∠C = 35°, ∠L = 90° - 55° = 35° --> ∠C ≡ ∠L
∠B = 90°, ∠M = 90° --> ∠B ≡ ∠M
∠A = 90° - 35° = 55°, ∠N = 55° --> ∠A ≡ ∠N
The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).
ΔABC ≅ ΔNML
ΔBCA ≅ ΔMLN
ΔCAB ≅ ΔLNM
ΔCBA ≅ ΔLMN
ΔACB ≅ ΔNLM
ΔBAC ≅ΔMNL
Any of these similarity statements can be used!
Simplify a^5 take away a^3
Answer:
Step-by-step explanation:
If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]
then you subtract 5 minus 3 to be left with a^2 on the numerator
That would be how you would take it away.
Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for the basket of mangoes
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]
The value to be paid is the product value plus the tax, therefore:
[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]
Avery needs to pay $14.84
Convert the following equation
into slope intercept form.
3x + y = -3
Answer: y = -3x -3
Step-by-step explanation:
y = mx + b
3x + y = -3
y = -3x -3
Answer:
slope intercept form: y=mx+c
*m = gradient
*c = y-intercept
3x + y = -3
y = -3x - 3
A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.
We are given that it traveled 300 kilometres after 3 hours. So, we have...
[tex]300=3(x+30)[/tex]
[tex]100=x+30[/tex]
[tex]x=70[/tex]
find the value of x. m<2= x + 52
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
NEED MATH HELP NOW!!! PLEASE HELP!!!
Answer:
Check the attachment below!
vertex= (0.5,-12.25)y-int= (0,-12)x-int= (-3,0) and (4,0)AOS= x=0.5domain= -∞ to ∞range= -12.25 to ∞Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²
_______ natural numbers are whole numbers. 1.) Some 2.) All 3.) No
Answer:
All
Step-by-step explanation:
Whole numbers are numbers 0 to infinity.
Natural numbers are numbers 1 to infinity.
So, your answer is all.
Which linear inequality is represented by the graph
Answer:
y≤ 2/3x+1/5
Step-by-step explanation:
y≤ 2/3x+1/5
Anwen walks at an average
speed of 3 km/h for 2 hours
20 minutes. How far has Anwen
walked?
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
Answer: 7 km
Step-by-step explanation:
In 1 hour, he did 3 km
In 2 hours, he will do 6 km
20 minutes = 20/60 = 1/3
In 20 minutes, he will do 1/3 x 3 = 1 km
So total distance travelled = 7 km
The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters.
What is the length of one leg of the triangle?
Answer:
Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Putting the values:
[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]
So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]
Answer:
answer is B 9 root 2 cm
Step-by-step explanation:
got it right on edg 2020-2021
What is 12 1/2 - (-4 1/2)
Answer:
the correct answer is
Step-by-step explanation:
= 12 1/2 - (-4 1/2)
=17
hope this helps you!!!!!
Answer:
17
Step-by-step explanation:
12 1/2 - (-4 1/2)
Turn to improper fractions.
25/2 - (-9/2)
Negative times negative is positive.
25/2 + 9/2
Add fractions with common denominators.
34/2
Divide.
= 17
using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]
=> [tex]\frac{6+(-12)}{2-24}[/tex]
=> [tex]\frac{6-12}{-22}[/tex]
=> [tex]\frac{-6}{-22}[/tex]
=> [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5
A square has a side that measures 2.75 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 94.99 units2 23.75 units2 9.62 units2 38.47 units2
Answer:
The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²
Step-by-step explanation:
The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.
2.75 × 4 = 11
So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.
[tex]Radius = \frac{circumference}{2\pi}[/tex]
Now, let;s plug in 11 for the circumference because our circumference is 11 units.
[tex]Radius=\frac{11}{2\pi}[/tex]
Multiply 2 by pi. We will use 3.14 in replacement of pi.
[tex]Radius=\frac{11}{6.28}[/tex]
Now, divide.
[tex]Radius=1.75[/tex]
So, our radius is 1.75 units. We can know use this number to find the area of the circle.
[tex]Area=r^2\pi[/tex]
Plug in 1.75 for the radius.
[tex]Area=(1.75)^2\pi[/tex]
Simplify the exponent.
[tex]Area=(3.0625)\pi[/tex]
Multiply the numbers.
[tex]Area=9.61625[/tex]
Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.
9.61625 = 9.62
So, the area of the circle is 9.62 units²
Answer:
9.62
Step-by-step explanation:
Got it on the test
A square has a perimeter of 12x + 52 units . Which expression represents the side length of the square in units?
Answer:
3x+13
Step-by-step explanation:
Perimeter of square = 4 * length
Length = Perimeter/4
Length = (12x + 52)/4
Length = 3x+13
The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?
Answer:
The intial value is 1.25
Step-by-step explanation:
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function. If two variables are directly proportional, then their graph is not a linear function. If two variables are not directly proportional, then their graph is not a linear function. If the graph of two variables is a linear function, then the two variables are directly proportional. If the graph of two variables is not a linear function, then the two variables are not directly proportional
Answer:
D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Step-by-step explanation:
The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.
So, for the statement given:
"If two variables are directly proportional, then their graph is a linear function."
The contrapositive will be:
"If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Answer:
d
Step-by-step explanation:
please help.. GP is geometric progression
Answer:
unanswerable,don't censore the question
Step-by-step explanation:
sorry pal
Answer:
n is the seventh term=5832
Step-by-step explanation:
a1=8
r=3
a(n)=a1*r^(n-1)=
an=8*3(n-1)
8+24+72+216+648+1944+5832=8744