Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
Question 5 options:
1)
No, because the total will be $58.75.
2)
No, because the total will be $21.25.
3)
Yes, because the total will be $37.50.
4)
Yes, because the total will be $26.25.
Answers
Answer:
37.50 is the answer or Number (3)
Step-by-step explanation:
I did this question before so I know it is right.
11.25 + 2.25 x 2 + 7.25 x 3 = 37.50
The inequality is correct!
Related Questions
Select the correct answer.
Which graph shows a function and its inverse?
Answers
Answer:
A
Step-by-step explanation:
The inverse of a graph flips the x and y coordinates for the points. If you look at A one point that you see graphed is (-4, -1), its inverse would be (-1,-4). You see that point on the other line. Another point would be (-2,1), so the inverse would be (1,-2) You see both of these points on the two different lines.
You do not find the same relationships for graphs B and C.
The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.
Answers
The value of m∠Q as shown in the right-angled triangle below is 62.59°.
The Formula used is:
m∠Q = cos⁻¹(s/r)........................ (1)
Where:
s = 29 m
r = 63 m
Now, Substitute these values into equation 1
m∠Q = cos⁻¹(29/63)
m∠Q = cos⁻¹(0.46)
m∠Q = 62.59°
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The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answers
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
How much would a computer system cost if you pay $200 down and made 12 monthly payments of only $98.95?
Answers
Answer:
$1387.4
Step-by-step explanation:
Total cost for the computer will be sum of down payments and monthly installments.
____________________________________
Given
down payment = $200
monthly installment value = $98.85
no. of installments = 12
total value of monthly installments = 12*98.95 = $1187.4
Total cost of computer system = $200+ $1187.4 = $1387.4
Consider the graph of some function y equals f left parenthesis x right parenthesis.
Answers
The limits of the function for this problem are given as follows:
lim x -> -2 f(x) = 3.lim x -> 1 f(x) does not exist.lim x -> 4 f(x) = -3.How to obtain the limits of the function?In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.
At x = -2, we have that:
To the left of x = -2, the function approaches x = -2 at y = 3.To the right of x = -2, the function approaches x = -2 at y = 3.As the lateral limits are equal, lim x -> -2 f(x) = 3.
At x = 1, we have that:
To the left of x = 1, the function approaches x = 1 at y = 0.To the right of x = 1, the function approaches x = 1 at y = -4.As the lateral limits are different, the lim x -> 1 f(x) does not exist.
At x = 4, we have that:
To the left of x = 4, the function approaches x = 4 at y = -3.To the right of x = 4, the function approaches x = 4 at y = -3.As the lateral limits are equal, lim x -> 4 f(x) = -3.
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what are the answers for the table
Answers
Answer:
X-intercepts: -1 and 3
Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).
Step-by-step explanation: Hope this helps even a little bit <33
A mail-order computer business has four telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.Xp(x)00.11230.25 0.30.35a. Find the cdf F(x) of X. b. Calculate the probability of each of the following events: A = {fewer than two lines are in use},B= {at least two lines are in use}, C= {between one and five lines, inclusive, are in use}.
Answers
The probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
To find the cdf F(x) of X, we can use the following formula:
F(x) = P(X ≤ x) = ∑ P(X = k) for k ≤ x
So we have:
F(0) = P(X ≤ 0) = P(X = 0) = 0.11
F(1) = P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.11 + 0.23 = 0.34
F(2) = P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.23 + 0.25 = 0.59
F(3) = P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.11 + 0.23 + 0.25 + 0.3 = 0.89
F(4) = P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.11 + 0.23 + 0.25 + 0.3 + 0.35 = 1
So the cdf F(x) of X is:
F(x) = 0 for x < 0
F(x) = 0.11 for 0 ≤ x < 1
F(x) = 0.34 for 1 ≤ x < 2
F(x) = 0.59 for 2 ≤ x < 3
F(x) = 0.89 for 3 ≤ x < 4
F(x) = 1 for x ≥ 4
b. To calculate the probability of the events A = {fewer than two lines are in use}, B = {at least two lines are in use}, C = {between one and five lines, inclusive, are in use}, we can use the cdf F(x) that we just found.
P(A) = P(X < 2) = F(1) = 0.34
P(B) = P(X ≥ 2) = 1 - P(X < 2) = 1 - F(1) = 1 - 0.34 = 0.66
P(C) = P(1 ≤ X ≤ 5) = F(5) - F(0) = 1 - 0.11 = 0.89
Therefore, the probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89
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Marsha orders a secret menu item and gives the cashier $20 to pay for 3 large pretzels The cashier gives her $5.03 in change. Each pretzel cost the same amount. Solve to find the cost for each pretzel.
Answers
Answer:
Each pretzel is $4.99
Step-by-step explanation:
20 - 5.03 = 3x
14.97 = 3x
4.99 = x
4.2 x 10^8 is how many times the value of 2.1 x 10^2
A. 2 x 10^4
B. 2 x 10^6
C. 2.1 x 10^6
D. 2.1 x 10^4
Answers
4.2 x 10^8 is 2*10^6 times the value of 2.1 x 10^2 when division is performed.
How can the number of times can be calculated?The concept that will be used to solve the question is division operation.
We were given 4.2 x 10^8 which is greater than 2.1 x 10^2
The operation can be expressed as :
4.2 x 10^8 =( n *2.1 x 10^2)
where n = the number of times that 4.2 x 10^8 is greater than 2.1 x 10^2
Then make n the subject of the formular which is
n = 4.2 x 10^8/2.1 x 10^2
n = 2*10^6
Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.
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Find the value of x.
(I know it’s blurry sorry, here are the numbers)
3x-9
2x+2
27
Please help!
Answers
Answer:
= -89x + 227 =
Step-by-step explanation:
The value of x in the circle is 1.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
if a tangent and a chord are drawn from a point outside a circle, and the point of intersection of the tangent and the circle is labeled as point P, then the length of the tangent squared is equal to the product of the lengths of the two segments of the chord:
Now,
From the figure,
(2x - 9)² = 27 (2x + 2)
We can start by simplifying the left-hand side of the equation:
(2x - 9)² = 27 (2x + 2)
4x² - 36x + 81 = 54x + 54
Now we can move all the terms to one side and simplify:
4x² - 90x + 27 = 0
Next, we can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / 2a
where a = 4, b = -90, and c = 27.
Plugging in the values:
x = (-(-90) ± √((-90)² - 4(4)(27))) / 2(4)
x = (90 ± √(8100 - 432)) / 8
x = (90 ± √(7668)) / 8
x = (90 ± √(447)) / 8
x ≈ 11.16 or x ≈ 1.09
Rounding to a whole number.
x = 1
Therefore,
The value of x in the circle is 1.
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How can budgeting improve someone’s life?
Answers
Step-by-step explanation:
it can improve ones life my making not spending a lot of money
Learning Task 1: Read and solve the following problems. Use the 4-Step Plan by supplying the needed information in each letter below. 1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the 2 parallel sides is 8 meters. What is the area of the lot? 2. A triangular landscape has a base of 24 meters and a height of 12 meters. Find its area. 3. A trapezoidal lawn has an upper base of 16 meters and a lower base is 30 meters. The distance between the parallel bases is 10 meters. If the lawn is to be planted with Bermuda grass, how many square meters of Bermuda grass will be needed 4. A rectangular banner has a length of 5 meters and a width of 3 meters. Find the area. 5. What is the area of a soccer ground square in shape with a side of 8 meters? A = G= O= N= S = och sa A= och *You will use the letters in each problem above
Answers
The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².
How to calculate the area?Area of a parallelogram will be:
= Base × Height
= 20 × 8
= 160m²
The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:
= 1/2 × base × height
= 1/2 × 24 × 12
= 144m²
The area of the trapezium will be:
= 1/2 × (a + b) × h
= 1/2 × (16 + 30) × 10
= 1/2 × 46 × 10
= 230m²
The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:
= Length × Width
= 5 × 3
= 15m²
The area of a soccer ground square in shape with a side of 8 meters will be:
= 8 × 8
= 64m²
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When Jenny started her shift at the ice cream shop the tub of chocolate was 2/3 full. When she finished her shift 6 1/2 hrs later there is only 1/6 tub left. What was the average hourly change in fullness
Answers
Answer:
6 1/2=5??
Step-by-step explanation:
so try 5-1/6 and divide by the 5 (if u get no answer pls dont be so quick to put i am still checking)
Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,000.
Answers
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
actual sales be $31,132
Step-by-step explanation:
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
Answers
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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simplify the equation 3(u-6)-7u
Answers
Answer:
-4u-18
Step-by-step explanation:
pls help me on algebra here is screenshot
Answers
Answer:
The answer to the question provided is option 2.
Powers are repeated ___________________.
Answers
multiplications
mark me brainliesttt :))
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
Answers
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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please help! I'm almost out of time on my assignment
Answers
On June 10, Trudy Polanski deposited $1260 in a savings account that pays 5.5% interest compounded daily. How much interest will the money earn in 60 days?
Answers
The answer will be $32,893.43 compound interest will the money earn in 60 days.
What is compound interest?
The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.
When the amount compounds quarterly, it means that the amount compounds 2 times, n=12. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:
A = P (1 + r/12)^12t
A = 1260(1+5.5/12) ^12
A = $32,893.43
Hence the interest will be $32,893.43.
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Will mark brainliest for fastest answer and right
Answers
Answer:
19
Step-by-step explanation:
10 + 9 = 19. If you look at how many students are above the "30 mark", you will count 10 on the first bar and 9 on the second.
2.81 as a mixed number
Answers
The mixed number of 2.81 is 2 whole number 81 by 100 or \(2\frac{81}{100}\).
What is whole number?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Given number is 2.81.
The number 2.81 can be written as 2 + 0.81.
The number of digits after decimal point is 2.
To convert 0.81 into fractional form, divide 81 by 100.
2 + 0.81 = 2 + (81/100)
The mixed number of 2.81 is \(2\frac{81}{100}\).
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Kaleem wanted to draw a triangle where the sides measured 5 cm, 8 cm, and 7 cm. How many unique triangles could Khaleem draw that fit these dimensions?
a.) 1
b.) 2
c.) 3
d.) 4
Answers
Answer:
Hi Ivy Sup....
Suppose there is another triangle with same side lengths. Then by SSS congruence criteria both triangles are congruent or exactly equal. Therefore, if Khaleem wanted to draw a triangle where the sides measured 5 cm, 8 cm, and 7 cm, then only one unique triangle Khaleem could draw that fit these dimensions.
Love you!
What is 42/66 written in lowest terms?
Answers
Answer:
7/11 or
7
--
11
Step-by-step explanation:
Hope this helps :)
ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
\(y = \frac{3}{2} x + 4\)
what is the description to match the equation. what is her rate? did she get a head start?
Answers
Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
Answers
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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Which step in conducting research should be done before writing a research question?
Ab
Interview an expert about your topic.
Use evidence to support your position.
Decide on a subject that you are interested in
O Make a plan to learn more about your topic.
Answers
Answer:
It is C
Step-by-step explanation:
You have to make a subject to research before your make a question, because you dont know what your looking for then.
I know i might be late but can i have brainliest if its correct so i can level up?
Thank you!
Answer:
cthe therd one
Step-by-step explanation:
you need a subject to research before you make a question,
so you can also begon with your work like assimgments.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.
(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.
(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.
(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The triangle similarity criteria are:
AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.
12/8 = 9/6
1.5 = 1.5
(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.
(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.
14/10 = 21/15
1.4 =
(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.
SMK = 90⁰, 60⁰, 30⁰
QTR = 90⁰, 30⁰, 60⁰
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what is the equation of a line that passes through the points (2,5) and (4,3)
Answers
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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