Answer:
she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours
Step-by-step explanation:
subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20
The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding.
In a given week, she can work no more than 19 total hours and must earn no less than $290.
Now,
Let x represents the number of hour for babysitting, and 'y' represents the number of hours for lifeguarding.
Since, In a given week, she can work no more than 19 total hours and must earn no less than $290.
Hence, We can formulate;
⇒ x + y < 19
And, 10x + 20y > 290
So, For Annabelle worked 3 hours babysitting, the minimum number of whole hours lifeguarding is,
⇒ 3 + y < 19
⇒ y < 16
And, 10x + 20y > 290
⇒ 30 + 20y > 290
⇒20y > 290 - 30
⇒ 20y > 260
⇒ y > 13
Thus, The possible value of y = 14, 15
So, The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
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Given f(x) = -2x– 9x + 7, what is the value of f(-3)?
Answer:
f(- 3) = 40
Step-by-step explanation:
To evaluate f(- 3), substitute x = - 3 into f(x), that is
f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40
Find the length of the missing side. Round to the nearest tenth (one decimal place).
Answer: pretty sure it is 56.5
Step-by-step explanation:
Which equation has a constant of proportionality equal to 2?
y=10/5x
y=2/2x
y=2/4x
y=22/2x
Answer:
A
Step-by-step explanation:
xy = 10/5 = 2
the other wrong because
xy = 1
xy = ½
xy = 11
Using the Arc length formula s = r θ, find the missing variable.
Find s when r = 18.4 and θ 3π/4
13.8π
15.2π
24.5π
Step-by-step explanation:
13.8pie is correct answer of your question
What does 2a + 3c + 4d simplify to?
Answer:
2a + 3c + 4d
Step-by-step explanation:
This is the answer because:
1) Nothing further can be done to this equation since there are no like terms.
Therefore, the answer is 2a + 3c + 4d.
Hope this helps! :D
can someone teach me similar shapes and how i would find volume and area as well as congruency in triangles, thanks
I don't get it at all
Answer and Step-by-step explanation:
It's very easy.
If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.
Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.
To find area of similar shapes, we need what we call the scale factor of the enlargement.
If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of
Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:
(2/1)² = 16/X = 4/1 = 16/X
4x = 16 and x = 4.
To find volume we use:
Volume = (scale factor)³ and the process is the same.
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?
A The length is 6 inches, and the width is 10 inches.
B The length is 1.5 inches, and the width is 2.5 inches
C The length is 5 inches, and the width is 10 inches.
D The length is 5 inches, and the width is 7 inches.
Answer: 6 in. x 10 in.
Step-by-step explanation:
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.
1. The scale of enlargement is 2 inches to 1 centimeter.
2. The actual length of the stamp = 3 centimeters
3. The length of frame = 2 x 3 = 6 inches
4. The actual width of the stamp = 5 centimeters
5. The width of frame = 2 x 5 = 10 inches
Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches
Square ABCD was translated using the rule (x. y) «-4,y + 15) to form A'B'CD. What are the coordinates of point
D in the pre-image if the coordinates of point D' in the image are (9, -8)?
TE
O (13, -23)
(5, 7)
O (18, 1)
O (6,4)
Answer:
[tex](13,-23)[/tex]
Step-by-step explanation:
Given
Translation: [tex](x,y) -> (x-4,y+15)[/tex]
Required
Determine the pre-image of (9,-8)
In (9,8)
[tex]x = 9[/tex] and [tex]y = -8[/tex]
So:
[tex](x,y) -> (x-4,y+15)[/tex]
Becomes
[tex](9,8) ->(x-4,y+15)[/tex]
By comparison:
[tex]x - 4 = 9[/tex]
[tex]y + 15 = 8[/tex]
Solving for (x):
[tex]x - 4 = 9[/tex]
[tex]x = 9 + 4[/tex]
[tex]x = 13[/tex]
Solving for (y):
[tex]y + 15 = -8[/tex]
[tex]y = -8 - 15[/tex]
[tex]y = -23[/tex]
Hence, the pre -image has a coordinate of [tex](13,-23)[/tex]
Solve the equation.
IM
4=t/2.5
Answer:
t=10
Step-by-step explanation:
4=t/2.5
4=t/25/10
divide 25and10 by 5=5/2
4=t/5/2
4=t×2/5
multiply both sides of the equation by 5
5×4=t×2/5×5
20=t×10/5
20=t×2
— —
2. 2
10=t
Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
I don't understand this question. I was hoping someone could help.
Answer:
A
Step-by-step explanation:
The constant rate of change in this question simply means the slope
To get the slope, we simply get two points and apply the slope equation;
The points are;
(3,60) and (6,30)
The slope equation is;
m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s
So our answer is the first option as it represents a decent of -10 ft/s
Which ordered pair is a solution of the equation?
y = -2x + 5
Answer:
(0,5)
Step-by-step explanation:
Proove that: tanα + cotα = secα. cosecα
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]
sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]
Consider the left side
tana + cota
= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]
= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]
= [tex]\frac{1}{cosasina}[/tex]
= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]
= seca . coseca
= right side , thus proven
a movie theater made $1267.50 on monday by selling 180 tickets. Adult tickets were $7.50 each and a child ticket was 6. Which system below could be used to find the number of adults that attended
the movie on monday ?
A. {a+c=180
{a+c=1267.5
B. {a+c=1267.5
{7.5a + 6c=180
C. {a+c=180
{7.5a+ 6c=1267.5
D. {a+c=180
{7a+6.5c=1267.50
Answer:
C
Step-by-step explanation:
7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180
find the value of X in each of the given triangles.
<DSR + <SRD + <RDS = 180° (Angle sum property)
2x + x +3x = 180°
6x = 180°
x = 180°/6
x = 30°
So, <SRD = x = 30°
<RDS = 3x = 3(30°) =90°
<DSR = 2x = 2(30°) = 60°
Hope it helps !
✌️
Jai hind !
Answer:
[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]
Angles are 30°,60° and 90°.
x=30 is the right answer.Please help me asap
Select the correct answer from each drop-down menu.
A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11
Answer:
1) The first equation of the system is y = 2·x + 3
2) The second equation of the system is y = 3·x - 1
3) The solution of the system is (4, 11)
Step-by-step explanation:
1) From the coordinates of the first table, we have;
The points of the y-coordinate have a common difference of two
The rate of change of the function using the first and the last point is given as follows;
Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2
The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)
∴ The equation of the line in slope and intercept form is y = 2·x + 3
Therefore, the first equation of the system is y = 2·x + 3
2) Similarly from the coordinates of the second table, we have;
The points of the y-coordinate have a common difference of six
The rate of change of the function using the first and the last point is given as follows;
Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3
The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)
∴ The equation of the line in slope and intercept form is y = 3·x - 1
Therefore, the second equation of the system is y = 3·x - 1
3) Equating both equations in the system of equations to find a common solution gives;
2·x + 3 = 3·x - 1
∴ x = 4
From y = 3·x - 1 or y = 2·x + 3, we have the value of y at the solution point as y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11
∴ y = 11 at point of the common solution of the system of equations
Therefore, the coordinates of the common point which is the solution of the system is (4, 11).
Answer:
Select the correct answer from each drop-down menu.
A system of linear equations is given by the tables.
x y
-1 1
0 3
1 5
2 7
x y
-2 -7
0 -1
2 5
4 11
The first equation of this system is y =
2
x + 3.
The second equation of this system is y = 3x −
1
.
The solution of the system is (
4
,
11
).
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
Answer:
The Width of each side of the bookmark in centimeters = 5cm
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
The formula for perimeter fo a rectangle =
P = 2L + 2W
Where L = Length
W = Width
Hence: From the above question:
38cm = 2 × 14 cm + 2 W
38cm = 28cm + 2W
2W = 38cm - 28cm
2W = 10cm
W = 10cm/2
W = 5cm
Hence, the Width of the rectangle(each side of the bookmark in centimeters) = 5cm
30 IS 15% of WHAT number?
A. 333.3
B. 266.6
C. 600
D. 200
Answer:
The correct answer is D) 200
Step by step explanation:
Let x be the number:
Then,
→15/100(x)=30
→3/20(x)=30
→3x/20=30
→3x=20⋅30
→3x=600
→x=600/3=200
Hope it helps!
Answer:
D 200
Step-by-step explanation:
Let the number we are find be x. We can write this as an equation:
30 = 15%*x = (15/100)x
Multiplying by 100/15 on both sides to isolate x:
x = 30(100/15) = 2(100) = 200
Therefore, 200 is our answer. I hope this helps! :)
Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.
y- □=□(x-□)
If csc Ф = 4/3, what is the value of sin Ф
Step-by-step explanation:
Since cosecx = 1 / sinx,
sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.
Review the graph. On a coordinate plane, a vector has origin (6, 2) and terminal point (0, 4). What is the component form and magnitude of the vector shown? LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 2, 7 RightAngleBracket and 53 LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 7, 2 RightAngleBracket and 53
Answer:
I think C
Step-by-step explanation:
The component form and magnitude of the vector is < -6, -2>, √ 40, the correct option is A.
What is a Vector?A vector is a quantity that needs both magnitude and direction for its representation.
A vector has origin (6, 2) and terminal point (0, 4).
The component of vectors is determined by the formula
<x,y> = < (x₂- x₁ ) , (y₂-y₁)>
<x,y> = < (0-6), (4-2)>
<x,y> = < -6, -2>
The magnitude of the vector is determined by
[tex]\rm |v| = \sqrt{x^2 +y^2[/tex]
|v| = √ 40
The correct options are
LeftAngleBracket negative 6, 2 RightAngleBracket and StartRoot 40 EndRoot LeftAngleBracket negative 6, 7 RightAngleBracket and 40 LeftAngleBracket negative 2,6 RightAngleBracket and StartRoot 47 EndRoot LeftAngleBracket negative 2, 6 RightAngleBracket and StartRoot 40
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Question 4
Write an algebraic expression for the following.
Joe spent three dollars less than twice as much as Fernando did.
Use x for the variable.
Question 5
Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable
Mrs. Brim made a chart to see how long it took her students to finish a test. How many students took more than thirty minutes to finish the test?
Answer:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
Step-by-step explanation:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.
Total time of test = 30 minutes
Average time taken by the students to solve the test on Day 1 = 25 minutes.
Average time taken by the students to solve the test on Day 2 = 27 minutes.
Average time taken by the students to solve the test on Day 3 = 22 minutes.
Average time taken by the students to solve the test on Day 4 = 23 minutes.
Average time taken by the students to solve the test on Day 5 = 20 minutes.
Average Time in all Tests = Sum of all times / total number of days
Average Time = (25 + 27 + 22 + 23 + 20) / 5 days
Average Time = 117/5
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
What is the value of x In this equation?
75 + 10x = 225
150
15
25
10
Answer:
15
225-75=150
150÷10=15
If sin 0 = -0.6 and cos 0 = -0.8, find the cot O
Please helppp
Answer:
cotθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
cot x = [tex]\frac{cosx}{sinx}[/tex], then
cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
Help please thank you !!!
OK i need big help!!!! And it's really easy!
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
SOS HELP PLEASE!!!!!!!
Answer:
a for 2 b for 3 c for 1 and d is 4
Step-by-step explanation:
A submarine is 105 feet below the surface of the water, and it begins to ascend at a rate of 3 feet per minute. After how many minutes will the submarine be 81 feet below the surface?
Answer:
8 minutes
Step-by-step explanation:
Step one:
given
A submarine is 105 feet below the surface of the water
depth of submarine= 105 feet
let the time of ascending be x
Required
The time taken to ascend up to 81 ft
Step two:
the expression for the situation is
81=105-3x
solve for x
3x=105-81
3x=24
divide both sides by 3
x= 24/3
x=8 minutes