By using the graph, the employee's hourly wages is calculated as $10.6
Graph:
Basically, a graph is a collection of points, called vertices, and lines between those points, called edges.
Given,
Here we have the graph with straight line.
And we need to determine the employee's hourly wage.
While we looking into the graph we have identified that the x axis refers the number of hours the employ is working and the y axis refers the money earned by them.
In order to find the wages for one hour, we need to select one point from the graph.
Here we have take the point (5,53)
The first point refers the number of hours that is 5.
And the second one refers the wages for 5 hours that is 53.
So, the one hour wages is calculated as,
=> 53/5
=> 10.6
Therefore, the employee's hourly wage is $10.6.
To know more about Graph here.
https://brainly.com/question/17267403
#SPJ1
marbles are sold in boxes in bags or single marbles each has 10 bags or marbles in it each bad has 10 in it
Answer:
The first blank is 13, the second blank is 19.Step-by-step explanation:
GivenEach bag has 10 marbles and each box has 10 bags.Each box has10*10 = 100 marblesNow, to complete the sentences assume the missing value is x.
1) 1 box, x bags and 9 single marbles:
1*100 + 10x + 9 = 239109 + 10x = 23910x = 239 - 10910x = 130x = 132) 2 boxes, 2 bags and x single marbles:
2*100 + 2*10 + x = 239200 + 20 + x = 239220 + x = 239x = 239 - 220x = 19CAN SOMEONE HELP ME WITH THIS BASIC GEOMETRY??
Answer:
147 degrees
Step-by-step explanation:
a straight line is always 180 degrees so the sum of these 2 angles equal 180 degrees so we pop it into an equation to solve for a
33+a=180
-33. -33
a=147
Hopes this helps please mark brainliest
Answer:
a = 147°
Step-by-step explanation:
33° + a form a straight line which is 180 °
33 + a = 180
a = 147°
Choose the sentence with correctly placed commas.
Question 2 options:
A. New students, experience social stress to say the least, on top of the stress of change.
B. New students experience social stress, to say the least, on top of the stress of change.
C. New students experience social stress, to say the least on top of the stress of change.
D. New students experience social stress to say the least, on top of the stress of change.
Answer:
Step-by-step explanation:
Option D
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answer:
Step-by-step explanation:
Please help l need in it
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8
The distance 170.4 is 24% of 710 miles, 86.1% is the percent of 62 hours of 3 days and 50 is the 16% of the 8.
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
1) given, 24% and 710 miles,
24/100×710= 170.4
2) first convert 3 days into hours.
=(3)(24) = 72 hours.
62/72×100=86.1%
3) let x be that number,
16%of x = 8
16/100×x = 8
x = 800/16
x =15
To know more about percentage, visit:
https://brainly.com/question/27574467
#SPJ13
IXL Help Fast ! Please And Thank You For Helping Me :)
Answer:
52 degrees
Step-by-step explanation:
first solve for x
9x-20=2x+36
9x=2x+56
7x=56
x=8
Now we find angle PTU
9(8)-20
72-20
52
Hopes this helps please mark brainliest
Sherman has 3 cats and 2 dogs. He wants to buy a toy for each of his pets. Sherman has $27 to spend on pet toys. How much can he spend on each pet? Enter the answer as a fraction and then as an amount in dollars and cents. I'm so confused could you guys help me?
Answer:
delete
Step-by-step explanation:
ok this is wrong pls delete
Please help me. I really need help
Answer:
10
Step-by-step explanation:
line LF divides the triangle into two equal parts
since LH is 5
therefore, GH is 5*2=10
I don’t know how to solve this one
(x+2)(x+5)(x-3) These are the factor of x³+4x²-11x-30
Hence x+3 is not the factor of this equation
What in mathematics is a binomial equation?
A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.
factor the equation
x³+(2x²+2x²)-(-4x+15x)-30
x³+2x²+2x²+4x-15x-30
x²(x+2)+2x(x+2)-15(x+2)
(x+2)(x²+2x-15)
(x+2)(x+5)(x+3)
Learn more about binomial equation
https://brainly.com/question/9325204
#SPJ1
the tens digit is 2 less than my ones digit the sum is 8
The three digit number where hundreds and ones digit are same is 424 .
In the question,
it is given that
the number is a 3 digit number ,
let the 3 digit number be " xyz "
given that the ones digit and hundreds digit are same ,
which means x = z , so the number becomes " xyx " ,
given that sum of ones and hundreds digit is 8 ,
which means x + x =8
2x = 8
x = 4
and tens digit is 2 less than ones digit , that is
y = x - 2
y = 4 - 2
y = 2
the number is xyx = 424
Therefore , the three digit number is 424 .
The given question is incomplete , the complete question is
I am a 3 digit number that is even my hundreds and ones digits are the same and have a sum of 8. My tens digit is 2 less than my ones digit. What number am i ?
Learn more about Numbers here
https://brainly.com/question/52094
#SPJ1
How much would $300 invested at 4% interest compounded monthly be worth after 2 years? Round your answer to the nearest cent.
Equation: A(t)=P(1+r/n)^nt
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$300\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]A=300\left(1+\frac{0.04}{12}\right)^{12\cdot 2} \implies A=300\left( \frac{301}{300} \right)^{24}\implies A \approx 324.94[/tex]
OAN, OMB, APB and MPN are straight lines and AN = 20A.
M is the midpoint of OB.
OA = a
OB = b
AP = KAB where k is a scalar quantity.
Express AB and MN in terms of a and b.
Express MP in terms of a, b and k.
Finally, find the value of k.
The length of AB = b - a, MN = 3a - b/2 and MP = b/2 + (k + 1)(b - a).
What is triangle?A triangle is defined as a two-dimensional shape with three sides, three interior angles, and three vertices.
Given that OB = b and OA = a
From ΔAOB we have
OB + BA + AO = 0
b + (- AB) -a = 0
AB = b - a
Now from ΔMNO we get
MN + NO + OM = 0
MN + (-ON) + OB/ 2 = 0
MN - (OA + AN) + b/2 = 0
MN - (a + 2a) + b/2 = 0
MN = 3a - b/2
Now from ΔMBP, we have
MB + BP + PM = 0
OB/2 + (BA - PA) + PM = 0
b/2 + (- AP/k + AP) + PM = 0
b/2 + (-kAB /k + kAB) + PM = 0
b/2 + (k AB + AB) + PM = 0
PM = -b/2 - (k + 1) (b - a)
MP = b/2 + (k+1) (b - a)
Hence, The length of AB = b - a, MN = 3a - b/2 and MP = b/2 + (k + 1)(b - a).
To know more about the triangle, click:
brainly.com/question/1058720
#SPJ1
Write the equivalent fraction for 9/3
Answer: Let 5/9=□/54
Clearly shows 54=(9×6)
Now multiply the numerator by 6 also
∴5 / 9 = (5 \times 6) / (9 \times 6) = 30 /54$$
Hence, 30/54 is the equivalent fraction of 5/9 having denominator 54
(ii) Let 5/9=35/□
Clearly shows 35=(5×7)
Now multiply the denominator by 7 also
∴5/9=(5×7)/(9×8)=35/63
Hence, 35/63 is the equivalent fraction of 5/9 having numerator 35
Step-by-step explanation:
10
When can you use proportional reasoning to solve a problem?
Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Proportional reasoning is the reasoning based on the cognition that a relationship exists between the multiples of the variables in the problem, such that the magnitude of a variable can implied from the changes made to the relationships connecting the variables.
An example of proportional reasoning is the distance travelled, d, after a given time, t, at a constant velocity, v;
d = v·t
To judge the distance travelled, a constant, v, multiplies the time, t, such that, at a longer time, it can be reasoned that the distance travelled is much further.
Therefore, proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
Every month, Theresa sets aside $410.60 of her paycheck to use as spending money. This month, she plans to use of her spending money for groceries.How much money would Theresa have this month to 2/5 spend on items other than groceries?
The amount spent for other than groceries is $246.36.
Given that the money to spend this month = $410.60
Theresa uses 2/5 of the money to groceries.
So she spent on groceries = 410.60*(2/5) = 164.24
We have to subtract the spending on groceries from the total spending in order to find the required.
Then the amount spend other than groceries = 410.60-164.24 = 246.36
To know more about Subtraction refer to:
https://brainly.com/question/13378503
#SPJ1
This question I need help with asap
The image vertices for a dilation with center (0,0) and a scale factor of 4 are A'(-12,4), B'(16,-12), C'(8,12), and D'(-4,16).
What are dilation and scale factors?
A figure or point that has undergone a change in size and location is known as dilation.
The amount by which the figure is stretched or contracted in a dilation is known as the scale factor.
The coordinates of the points in the pre-image can be multiplied by the scale factor to get the points in the picture if we are dilating a figure that is centered at the origin.
Given, vertex A = (-3,1), vertex B = (4,-3)
vertex C = (2,3), vertex D = (-1,4)
scale factor = 4 and center = (0,0)
Now, we need to find the image of the given vertices for dilation with center (0,0) and scale factor 4, then we have to multiply the given vertices with scale factor 4
A' = (-3*4,1*4) = (-12,4)
B' = (4*4,-3*4) = (16,-12)
C' = (2*4,3*4) = (8,12)
D' = (-1*4,4*4) = (-4,16)
Hence, the image of the given vertices are A'(-12,4), B'(16,-12), C'(8,12) and D'(-4,16).
To learn more about dilation and scale factors
https://brainly.com/question/26855848
#SPJ1
Simplify 3/10x + 1/6y + 3/10x + 5/6y
please help!!
The simplified form of the expression is, [tex]\frac{3}{5}x + y[/tex].
What is simplified form of the expression?
Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.
Consider, the given expression
[tex]\frac{3}{10}x + \frac{1}{6} y+\frac{3}{10}x + \frac{5}{6} y[/tex]
Here, there are two like terms of variable x and two like terms of variable y.
So, we combine the like terms.
[tex]\frac{3}{10}x + \frac{3}{10}x + \frac{1}{6}y + \frac{5}{6}y\\\\\frac{3+3}{10}x+\frac{1+5}{6}y\\ \frac{6}{10}x + \frac{6}{6}y\\ \frac{3}{5}x + y[/tex]
Hence, the simplified form of the expression is, [tex]\frac{3}{5}x + y[/tex].
To know more about the simplified form of the expression, click on the link
https://brainly.com/question/1375451
#SPJ1
steps for graphing y= x^2 - 4x
The graph using the direction, vertex, focus, and axis of symmetry is shown below.
The given equation is y=x²-4x.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Put x=0, 1, 2, 3, 4,....in the given equation, we get
When x=0
y=0
When x=1
y=-3
When x=2
y= -4
When x=3
y= -3
When x=4
y=0
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (2, -4)
Focus: (2, -15/4)
Axis of Symmetry: x=2
Directrix: y= -17/4
Hence, the graph using the direction, vertex, focus, and axis of symmetry is shown below.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ1
A quantity x varies directly with the square of y and
inversely with the cube root of z. if x = 6 when y = 2
and z = 8, find the x when y = 1 and z = 27.
Answer:
x = 1-----------------------------
Given relationx = ky²/∛z, where k- constantGiven valuesx = 6, y = 2, z = 8Find the value of k6 = k×2²/∛86 = k×4/23 = kThe equation is nowx = 3y²/∛zFind the x when y = 1 and z = 27x = 3 × 1/∛27 = 3/3 = 1Answer:
x = 1
Step-by-step explanation:
k is the constant of proportionality
State all integer values of a in the interval [0, 7] that satisfy the following inequality:
−5x+3>-4
All integer values of x in the interval [0, 7] are 0,1
What is an integer?
A full number, not a fraction, that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer). Integer examples include: -5, 1, 5, 8
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
−5x+3>-4
-5x > -4-3
-5x > -7
Divide by -5 on both sides
x< -7/-5
x< 7/5
x< 1.4
So, all integer values of x in the interval [0, 7] are 0,1
To learn more about the Integer from the given link
https://brainly.com/question/17695139
#SPJ1
If the sum of two rational numbers is-5/16
and if one of the number is -9/20, then
find other national number?
The other rational number is -23/60.
What are rational numbers?The ratio or fraction of two numbers, p/q, where p and q are the numerator and denominator, respectively, can be used to express a rational number in mathematics. For example, 3/7 and any integer are rational numbers. Examples from the rational number range include 1/3, 2/4, 1/5, 9/3, and so on.So, the other rational number is:
We know that,
The Sum of 2 rational numbers is -5/16.One of the numbers is -9/20.Now, get the other number as follows:
x -9/20 = -5/6x = -5/6 + 9/20x = 10(-5) + 3(9)/60x = -50 + 27/60x = -23/60Therefore, the other rational number is -23/60.
Know more about rational numbers here:
https://brainly.com/question/28622954
#SPJ13
A bacteria culture initially contains 2000 bacteria and doubles every half hour.
Find the size of the baterial population after 80 minutes.
Find the size of the baterial population after 8 hours.
I need BOTH questions answered pls!
Answer:
32000 bacteria
Step-by-step explanation:
because it doubles every half hour and it has 200 then it would be 32000 bacteria
Problem #1:
A number is divisible by 4 if the last 2 digits of that number are multiple of 4 . So for example the number 2316 is a multiple of 4 because it ends with " 16 " and " 16 " is a multiple of 4 .
Write a program that prompts the user to enter an integer and displays whether the number is a multiple of 4 or not. The program stops reading integers, when the user inputs a negative value. It shows at the end the total number of values entered which are multiple of 4 .
Sample Run:
Enter an integer: 4
4 is a multiple of 4
Enter another integer: 213
213 is not a multiple of 4
Enter an integer: 2316
2316 is a multiple of 4.
Enter an integer: -20
The total number of integers entered which are multiple of 4 is 2 .
The program that gives the number of multiples of 4 is given as follows:
int main(){
int value;
int multiples = 0.
printf("Enter the value\n");
scanf("%d\n", & value);
do{
if(value % 4 == 0){
multiples = multiples + 1;
printf("%d is a multiple of 4.\n", value);
}
else{
printf("%d is not a multiple of 4.\n", value);
}
printf("Enter the value\n");
scanf("%d\n", & value);
}while(value >= 0);
printf("The total number of integers entered which are multiple of 4 is %d\n", multiple);
return 0;
}
How to verify if a number is a multiple of 4?A number is a multiple of 4 if the remainder of the division of the number by four is of zero.
The command that checks if the remainder is of zero, using the C programming language, is:
if(value % 4 == 0)
If the conditional is true, then the multiple variable, storing the number of multiples of four, is incremented.
The command that reads the value is of:
printf("Enter the value\n");
scanf("%d\n", &value);
The variable value is previously declared.
The do-while loop continues until a negative number is read.
More can be learned about multiples at https://brainly.com/question/26856218
#SPJ1
A number x minus 1 is no less than 3. write in algebric equation form
Answer:
[tex]x - 1 \geqslant 3[/tex]
The combined score of James in Geography, economics and science is 194.He scored twice as many marks in economics as in geography and four more marks in science than economics.find his marks in each of the three subjects
In given word problem James scored 38 in geography , 76 into ecomonoics and 80 in Science.
What is word problem?
Choosing whether two provided expressions are comparable with respect to a set of rewriting identities is the task at hand in a word problem in computational mathematics. There are many other instances as well, with the word problem for groups serving as a typical example.
Let us take ,
E= Marks scored in economics
S=Marks scored in Science
G=Marks scored in Geography
And total mark =194.
Here He scored twice as many marks in economics as in geography,
=> E=2G
four more marks in science than economics.
=> S=E+4=2G+4
Here E+S+G=194
=> 2G+2G+4+G=194
=> 5G+4=194
=>5G=194-4=190
=>G = 38.
Now E=2G=2*38=76
And S = 76+4=80.
Hence James scored 38 in geography , 76 into economics and 80 in Science.
To learn more about word problem refer the below link
https://brainly.com/question/21405634
#SPJ9
Denise subtracted -9
8 and came up with an answer of -17 feet. Is
Denise correct? Why or why not?
Answer:she is correct i dont really get the formula but if -9 - 8 = -17
Step-by-step explanation:
x/3 + 2 = 16 What is X
Answer:
[tex]\sf x=42[/tex]Step-by-step explanation:
[tex]\sf \cfrac{x}{3}+2=16[/tex]
First, subtract 2 from both sides:-
[tex]\sf \cfrac{x}{3}+2-2=16-2[/tex]
Simplify:-
[tex]\sf \cfrac{x}{3}=14[/tex]
Now, let's multiply both sides by 3:-
[tex]\sf \cfrac{3x}{3}=14\times\:3[/tex]
Simplify:-
[tex]\sf x=42[/tex]
____________________Hope this helps!
Have a great day! :)
Enter the unknown value that makes this statement true. 40% of blank is 128
Answer:
320
Step-by-step explanation:
40% of blank is 128
40% = 0.4
0.4x = 128
divide both sides by 0.4:
0.4x/0.4 = 128/0.4
x = 320
Answer:
40% of 320 is 128.
Step-by-step explanation:
Forming the equation,
→ (x/100) × 40 = 128
Now the value of x will be,
→ (x/100) × 40 = 128
→ (40x/100) = 128
→ 2x/5 = 128
→ 2x = 128 × 5
→ x = 640/2
→ [ x = 320 ]
Hence, the answer is 320.
In the Triangle Inequality Theorem:
A. The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.
B. The smallest angle is opposite the longest side, and the largest angle is opposite the shortest side.
C. None of the angles can be equal.
D. There is no relationship between the lengths of the sides and the sizes of the opposite angles.
The correct option to this question is option A , this can be solved using triangle inequality theorem.
What is triangle Inequality Theorem?
In a triangle, the longest side is located across from the largest angle, while the shortest side is located across from the smallest angle is Triangle inequity. Any triangle in which the total of any two sides is greater than the length of the third side is said to have a triangle.
Main Body:
The theorem says that longest side will have the largest angle opposite to it, and vice versa.
Hence option A is correct answer which means the largest angle is opposite to longest side.
to Know more about Triangle inequality theorem click on the link below
https://brainly.com/question/1163433
#SPJ9
x²+5x-9=0 , solve by completing the square.
Answer:
x=1/2
Step-by-step explanation:
x^2+5x-9=0
Plus 9: x^2+5x=9
square root: x+5x=3
6x=3 so x=1/2