During the summer, Jordan and Ronald started their own business mowing lawns. Before starting any work, Jordan spent $20 to fill up the gas tank for the lawnmower. The boys agreed that each person would earn the same amount after Jordan was reimbursed the money he spent for gas. After a week of work, the boys were paid a total of $177. Jordan filled up the gas tank just once. How much did each boy earn?
Answer:
Each boy earned $88.50.
Step-by-step explanation:
Jordan and Ronald each earned $88.50 since they each earned the same amount after Jordan was reimbursed the $20 he spent for gas. This means that the total earnings they received was $177, and since they each earned the same amount, they each earned $177/2 = $88.50.
match the graph with the table.
Find 3M + 7N. M= [2,-3],[0,6] and N=[-5,-1],[2,9]
The value of 3M + 7N will be;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ M = [tex]\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right][/tex]
⇒ N = [tex]\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]
Now,
The value of 3M + 7N will be;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
Thus, The value of 3M + 7N after simplification is;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
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Manuel has $20,000 in a savings account that earns 7% annually. The interest is not
compounded. How much interest will he earn in 2 years?
PLEASE HELP!!
Answer:
If Manuel has $20,000 in a savings account that earns 7% interest per year and the interest is not compounded, then after two years he will earn $2,800 in interest. This is because 7% of $20,000 is $1,400, and since the interest is not compounded, this amount will remain constant for each year. Therefore, after two years Manuel will earn a total of $1,400 + $1,400 = $2,800 in interest.
In general, if a savings account earns x% interest per year and the initial amount in the account is y dollars, then after n years the account will earn n * (x/100) * y dollars in interest. For example, if the interest rate is 7% and the initial amount is $20,000, then after two years the account will earn 2 * (7/100) * $20,000 = $2,800 in interest.
Step-by-step explanation:
Answer:
The answer is $2800.
Step-by-step explanation:
Given;Manuel has $20,000 in a savings account that earns 7% annually.To Find;Interest of 2 years.Now,
(20000 × 7) ÷ 100 = $1400
Here, we get for 1 year
for two years,
1400 × 2 = $2800
Thus, He will earn $2800 in 2 years.
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
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Julia's Great Dane weighs 45 kg and Jake's Chihuahua weighs 15 kg. How much bigger, as a percentage, is Julia's dog?
Answer: julia dog is 300% bigger than jake's
Step-by-step explanation:
HELPPPPPPPPP ME PLEASEE
Answer: 18/24 and 10/24
Step-by-step explanation:
A box of nails weighs 1 5/8 pounds. Mark used 3 1/3 boxes of nails to build his treehouse
How many pounds of nails did Mark use?
Graph the linear inequality.
y> 3x+5
Answer:
Graph a solid line, then shade the area above the boundary line since y y is greater than −3x+5 - 3 x + 5 . y≥−3x+5 y ≥ - 3 x + 5.
Step-by-step explanation:
cos (x + 16) = sin(3x – 2)
Answer:
x = 19
Step-by-step explanation:
So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°
Use this idea to set up an equation.
x + 16 + 3x - 2 = 90
Combine like terms.
4x + 14 = 90
Subtract 14.
4x = 76
Divide by 4.
x = 19
x = 19
If you are kooking for the angles:
x + 16
= 19 + 16
= 35
and
3x - 2
= 3(19) - 2
= 57 - 2
= 55
Check: 35 + 55=90
Also,
cos35 = sin55
Sandy receives a 16000 salary for working as an agent. If sandy spends 25% of her salary of expenses each year, then how much money does sandy spend on her expenses?
Answer:
Sandy spends 4000 on expenses.----------------------------
Total amount is 16000 and its 25% is spent on expenses.
Find the amount of expenses:
16000*25/100 = 400042 out of the 84 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?
Answer:
42
Step-by-step explanation:
help!!
1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot
per day. Write an equation for the water level.
Equation:
X represents:
Y represents:
In how many days will the water level be 26 feet?
Answer:5 days.w<0.5*34x
Step-by-step explanation:
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is
A: Linear
B: Nonlinear
Answer:
Linear
Step-by-step explanation:
I'd say this because the line is straight so I think it's linear. (If wrong sorry)
can someone please help me with this? thank you!:
There are 3 urns containing coins. Urn I contains 5 gold coins, urn II contains 2 gold coins and 2 silver coins, and urn III contains 3 silver coins. An urn is selected at random and a coin is drawn from the urn. If the selected coin is silver, what is the probability that urn III was selected? (Enter your probabilities as fractions.)
2/3 is the probability of selecting silver coin from Urn III.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Urn I: 5 gold coins
Urn II: 2 gold coins and 2 silver coins
Urn III: 3 silver coins
The probabilities of choosing an urn are calculated as shown below:
P(Urn1)+P(Urn2)+P(Urn3)=1/3
First, calculate the probability of choosing a silver coin from the first urn.
P(S1)=0/5
Now, calculate the probability of choosing a silver coin from the second urn.
P(S2)=2/4=1/2
Now, calculate the probability of choosing a silver coin from the third urn.
P(S3)=3/3=1
Now, calculate the probability that the silver coin is selected from Urn III.
P(Silver coin chosen from urn III)=Favorable outcome/Total outcome
=1/3×1/1/3×0+1/3×1/2+1/3×1
=1/3/(1/6+1/3)
=2/3
Hence, the probability of selecting silver coin from Urn III is 2/3.
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simplify 4(x -9y) + 8(3x + 2y)
Answer:
28x - 28y I think hope it is the answer
θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2
The value of the secant angle will be equal to 60°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the secant angle secθ is equal to 2. The value of the angle will be calculated as,
secθ = 2
θ = sec⁻¹(2)
θ = 60°
The secant angle will have a value of 60°.
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In a certain state, 43% of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in the state of size 25 is obtained and the number of adults who indicated that sausage is their favorite pizza was 19. What are values of the parameters n, p, and x in the binomial probability experiment?
If in a certain state, 43% of adults indicated that sausage is their favorite pizza. The values of the parameters n, p, and x in the binomial probability experiment are: n = 25, p = 43% x = 19.
What is binomial probability?Binomial probability can be defined as the tendency that two event will occur or the likelihood that an event will have two outcome such as good or bad, success or failure.
Analysis of the value of the parameters n,p,x:
n represent number of sample size = 25
p represent the probability of having success on a single trial = 43% or 0.43
x represent the number of success = 19
Therefore the values of the parameters n, p, and x in the binomial probability experiment are: n = 25, p = 43% x = 19.
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On a field trip, there are `3` chaperones for every `20` students.
There are `92` total people on the trip.
How many chaperones?
How many children are there?
Answer: 12 Chaperones, 80 Students
Step-by-step explanation:
92 total - 12 chaperones = 80 students
3 Chaperones per 20 students, sizing that up by 4 you get 12 and 80.
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three
burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos
and two burritos. How much do soft tacos cost? How much do burritos cost?
please show work
Answer:
3 tacos and 3 burritos cost $11.25; 4 tacos and 2 burritos cost $10. The difference is 1 more taco and 1 less burrito, for $1.25 less.
So adjust the order repeatedly the same way, adding one taco and taking away one more burrito, and decreasing the cost by $1.25 each time.
3 tacos, 3 burritos, $11.25
4 tacos, 2 burritos, $10.00
5 tacos, 1 burrito, $8.75
6 tacos, 0 burritos, %7.50
The cost of each taco is $7.50/6 = $1.25.
3 of each cost $11.25, so 1 of each cost $3.75; the taco costs $1.25, so the burrito costs $2.50.
ANSWERS: taco $1.25, burrito $2.50
1) Give an example of a system of linear equations.
3x + 2y = 18
2x + 5y = 14 are both linear equations
The system of linear equations in two variables is an equation with two different variables. Any equation with different variables can be in this system.
The solution for this type of equation by solving and getting two different values for both x and y but the same values are used in both equations.
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If I have 24 pounds of food and each meal I eat 3/8 pound
How many meals will I get.
By using the concept of fraction, it can be calculated that
I will get 64 meals
What is a fraction?
Suppose there is a collection and a part of a collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.
This is a word problem on fraction
Weight of 1 meal = [tex]\frac{3}{8}[/tex] pounds
Total weight of meal = 24 pounds
Number of meals I will get = [tex]24 \div \frac{3}{8}[/tex]
= [tex]24 \times \frac{8}{3}[/tex]
= 64
I will get 64 meals
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Here are the ages (in years) of 8 professors at a college. 46, 32, 57, 28, 42, 34, 29, 37. What is the percentage of these professors who are younger than 35?
Answer:
1/2
Step-by-step explanation:
There are 8 total professors and 4 are below the age of 35
32, 28, 34, 29
Find the number of successes x suggested by the given statement. A running shoe manufacturer randomly selects 386 of its shoes for quality assurance and finds that 3.12% of these shoes are found to be defective. A. 12 B. 374 C. 120 D. 3
To find the number of successes x, we need to first find the total number of defective shoes. To do this, we can multiply the total number of shoes selected for quality assurance by the percentage of defective shoes, expressed as a decimal: 386 shoes * 0.0312 = 12.0736. Since we cannot have a fraction of a shoe, we can round down to the nearest whole number to find the number of successes x: 12.0736 rounded down = 12. Therefore, the number of successes x is 12, and the answer is 12.
If 3/2 liters is equal to 1/4 serving. Use a double number line or math drawing to determine how many liters is equivalent to a 2/3 serving
The volume of liters equivalent to a 2/3 serving shown using the proportional relationship displayed on a double number line is 4 liters
What is a number line?A number line consists of numbers spread in equal increments or spacing on an horizontal or vertical line.
The volume equivalent to 1/4 serving = 3/2 liters
A volume of 3/2 liters = 1.5 liters
If 3/2 liters = 1/4 serving, therefore;
1 serving = 4 × (3/2) liters = 6 liters
2/3 serving = (2/3) × 6 liters = 4 liters
Similarly: 0.5 liters = (1/4)/3 = 1/12
Expressing the above information on a double number line, we get;
[tex]{}[/tex] 1.5 2.0 2.5 3.0 3.5 4.0
Vol. in Liters <--------|----------|----------|-----------|-------------|--------------|------------->
[tex]{}[/tex] (1/4) (1/3) (5/12) (1/2) (7/12) (2/3)
Serving <---------|----------|-----------|-----------|-------------|-------------|------------->
From the above double number line, the number of liters equivalent to a 2/3 serving is 4 litersLearn more about number lines here:
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what is the discontinuity of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4
The function given as f(x) = (x² - 16)/(6x - 24) is discontinuous at x = 4
What is the discontinuity of the function?We are given the function as;
f(x) = (x² - 16)/(6x - 24)
We have to find the discontinuities of the function.
Now, the denominator 6x - 24 becomes 0 when x = 4.
This means that when x = 4, the function now becomes undefined.
Therefore, we can say that there is a discontinuity at x=4
However, this discontinuity can be removed due to the fact that we have x = 4 in the numerator.
But despite the above, it is still discontinuous at that value of x.
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a ractangle has an area of 2/9 which could be the dimenions
Answer:
It is not possible to determine the dimensions of a rectangle with only the information that its area is 2/9. The area of a rectangle is calculated by multiplying its length by its width, so a rectangle with an area of 2/9 could have many different combinations of length and width. For example, a rectangle with dimensions of 1/3 by 2/3 would have an area of 2/9, as would a rectangle with dimensions of 2/9 by 1.
Last week Cody ran 27 more miles than Joseph. Cody ran 34 miles. How many miles did Joseph run?
Which equation represents this situation?
A. x−27=34
B. x−34=27
C. x+27=34
D. x+34=27
Answer:
C
Step-by-step explanation:
The answer is 7 to the equation.
34-27 = 7
Another way to go about this is
x + 27 = 34
x = 7
27 + 7 = 34
:)
Can you Help me please...
:(
The main characteristics of a correct diet are those mentioned below:
Diet under medical supervision.Combine nutrients in adequate amounts.Eat at regular times and avoid sweets between meals. Combine various types of food and avoid excess.¿What is a correct diet?A correct diet is a diet that is characterized by having the following elements:
CompleteBalancedInnocuousEnoughVariedAdequateHaving a correct diet is important for the care of our health in general.
¡Hope this helped!
100 points and will mark brainlest
The slope of the line in the function is 1
Slope of LineThe slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
m = y₂ - y₁ / x₂ - x₁
Taking two points;
P = (5, 0)Q = (3, -2)Substituting the values into the formula;
m = -2 - 0 / 3 - 5
m = -2 / - 2
m = 1
The slope is calculated as 1
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