Answer:
he earns $24 a hour
Step-by-step explanation:
31,200 divide by 52 (that is how many weak's are in a year) = 600
600 divide by 24 = 24
:)
Ms. Juarez earns $24 per hour.
To determine how much Ms. Juarez earns each hour, we need to find her annual salary first.
Since Ms. Franklin earns $31,200 per year and Ms. Juarez earns the same amount annually, Ms. Juarez also earns $31,200 per year.
Next, we calculate the number of hours Ms. Juarez works in a year. She works 25 hours per week, and there are 52 weeks in a year:
Weekly hours x Number of weeks = Total yearly hours
25 hours/week x 52 weeks/year = 1,300 hours/year
To find her hourly wage, we divide her annual earnings by the number of hours she works in a year:
Annual salary / Total yearly hours = Hourly wage
$31,200 / 1,300 hours = $24 per hour
Therefore, Ms. Juarez earns $24 per hour.
| 5 - 9 | - | -2 |
What are these brackets called and what's the answer??
Answer:
Step-by-step explanation:
The brackets are absolute value. The absolute value of a number is the distance from zero which can never be negative (distance can’t be negative). Btw the answer is 2
Find the values of x and y. Write your answer in simplest form.
Answer:
y = 6√3 and x = 6
Step-by-step explanation:
this is a 30-60-90 triangle. The side opposite the 30° angle corresponds to the side of length 1 in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.
To find y, write and solve an equation of ratios, as follows:
adj side adj side (adjacent to the 30° angle)
y √3
hypo hypo then (cross multiplying): 2y = 12√3, and
12 2 y = 6√3
If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):
[12]² = [6√3]² - x² ↔ 144 = 36(3) - x² ↔ 36 = x². So x = 6 here.
Answer:
x = 6
y ≈ 10. 40
Step-by-step explanation:
Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.
hypotenuse = 12
adjacent = x
opposite = y
cos 60° = adjacent/hypotenus
cos 60° = x/12
cross multiply
x = 12 cos 60°
x = 12 × 0.5
x = 6
Finding y
sin 60° = opposite/hypotenuse
sin 60° = y/12
cross multiply
y = 12 sin 60°
y = 12 × 0.8660254038
y = 10.392304845
y ≈ 10. 40
The tables show some input and output values:
Table A
Input Output
1 7
2 7
2 9
4 5
Table B
Input Output
6 1
7 3
8 2
9 5
Which tables represent functions?
Only A
Only B
Both A and B
Neither A nor B
Your answer would be Only B
Table A has a repeated number in the inputs, while Table B does not
In the tables, only B represents functions.
What is a function?A function is a relation in which each domain value has only one range value. If a domain has more than one image in the range, it is not a function.
We can determine which table is a function as follows:Observe table A.
We can see that the input value of 2 has two outputs.
This means that table A is not a function.
Observe table B.
In table B, all input values have one and only one output value.
This table represents a function.
Therefore we have found that, from the given tables, only B represents functions. The correct answer is option B.
Learn more about function here: https://brainly.com/question/10439235
#SPJ2
Solve: log4 (5x-3) + log4 (9-x) = 3
There is no solution
There are no values of x that will make the equation true.
x approx 0.493942
Step-by-step explanation:
i don't understand this. my teacher wasn't at school and this was homework
The answer would be A. 198 cm. To find the circumference of a circle you take c=2piR. You would find the circumference of the bigger wedges and divide by 2 since it makes up 1/2 the circle. Then you would do the same for the smaller wedges and it would be approximately 198 cm
2+2 soidkdidjjdhfjhfhdjdjdjjd inndjsjjsjdjdudididi
Answer:
2+2=4
Step-by-step explanation:
If you have 2 apples and add 2 more apples you have 4.
LOL I had to do an apple example
Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18.
3x^2 +6y^2 = 18
Divide each term by 18 to make the right side equal 1:
3x^2/18 + 6y^2/18 = 1
Simplify each term:
x^2/6 + y^2/3 = 1
The form of an eclipse is written as (x-h)^2/a^2 + (y-k)^2/b^2 =1
Match the values in the ellipse to the standard form:
a = √6
b=√3
k = 0
h = 0
The center = (h,k) = (0,0)
Vertex is h +a, k = (√6,0) and (-√6,0)
Focus is h+c,k = (√3,0) and (-√3,0)
The mystery number is a three-digit number. Its digits are 1, 8, and 4.
• The 4 and the 8 are not next to each other.
• The 1 comes before the 4.
What is the mystery number?
Answer:
814
Step-by-step explanation:
there has to be a number between 4,8
so either 4 can be at hundred position or 8 can be at hundredth position.
but since 1 comes before 4, then 1 has to be at tens place and 4 has to be at one's place.
so number is 814
Using the given clues, we can determine that the three-digit mystery number with digits 1, 8, and 4, where 1 comes before 4 and 4 is not next to 8, is 184.
The mystery number is a three-digit number where the digits are 1, 8, and 4. With the given clues that the digits 4 and 8 are not next to each other and that 1 comes before 4, we must arrange the digits accordingly.
Since we are told the exact sequence for 1 and 4, with 1 coming before 4, and knowing that 8 cannot be next to 4, the possible arrangement is: the digit 1 first, then 8, and finally 4.
Following these conditions, the mystery number is 184.
The Logo For Super Snacks Company is Shown below. What is the area of the shaded region? Round to the nearest whole number. PLEASE HELP
Answer:
50.27 square inches
Step-by-step explanation:
If you look at the logo for the Super Snacks Company, you'll see it's basically a cylinder that has been cut and twisted, but if you just curve the top part the other way around, you'll have a perfect cylinder again.
We can then calculate the lateral surface area of the cylinder, to do so we use the following formula:
L = 2 * π * r * h
Which means we multiply by 2 by the constant π (3.1416) by the radius of the cylinder (in our case 2 inches, since the full diameter is 4 inches) and the height (in our case 4 inches). So, we enter the numbers in the formula and solve it:
L = 2 * 3.1416 * 2 * 4 = 50.2656 square inches.
The figure is made up of a cylinder and a hemisphere.
To the nearest whole number, what is the volume of this figure?
Use 3.14 to approximate π . Round only your final answer to the nearest whole number.
Answer: It's 170
Step-by-step explanation: if you put 170.1 it counts it as wrong
1.An electrician cut 5 1/2 feet of wire into three equal sections. After cutting, how long was each piece?
2.Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with 3/4 cup in each. After dividing, how many bags of snack bags will Pete have?
Answer:
Part 1) [tex]1\frac{5}{6}\ ft[/tex]
Part 2) [tex]10\frac{2}{3}\ bags[/tex]
Step-by-step explanation:
Part 1)
step 1
Convert mixed number to an improper fraction
[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]
step 2
Divided the improper fraction by 3
[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]
step 3
Convert to mixed number
[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]
Part 2)
step 1
Convert mixed number to an improper fractions
[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]
[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]
step 2
Adds the two quantities
[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]
step 3
Divide the total cups by 3/4 to find the number of bags
so
[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]
step 4
Convert to mixed number
[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]
6>x+3 1/3 solve the inequality ☹️
Answer:
2 2/3 >x
Step-by-step explanation:
6>x+3 1/3
Subtract 3 1/3 from each side
6-3 1/3>x+3 1/3-3 1/3
Replace 6 with 5 3/3
5 3/3 - 3 1/3 > x
2 2/3 >x
Which of these numbers is irrational?
An irrational number is not ending and non repeating
Square root of 16=4
Square root of 100=10
Square root of 36=6
These are all rational
The square root of 15=3.872983......
The answer is square root of 15
Answer:
B. [tex]\sqrt{15}[/tex]
Step-by-step explanation:
We have been given four numbers. We are asked to find the irrational number from our given number.
A. [tex]\sqrt{16}[/tex]
[tex]\sqrt{16}=4[/tex]
Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.
B. [tex]\sqrt{15}[/tex]
[tex]\sqrt{15}=3.8729833462[/tex]
Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.
C. [tex]\sqrt{36}[/tex]
[tex]\sqrt{36}=6[/tex]
Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.
D. [tex]\sqrt{100}[/tex]
[tex]\sqrt{100}=10[/tex]
Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.
What is the equation of the line that is perpendicular to the given line and passes through point (2,5)?
Answer:
[tex]\large\boxed{y=-\dfrac{1}{3}x+1}[/tex]
Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)[/tex]
[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]
[tex]\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1[/tex]
The table shows the areas of a triangle where the base of the triangle stays the same but the height changes. Write an algebraic expression that can be used to find the area of the triangle that has a base of 5 units and a height of X.
(1/2)5x I hope this helps!!
Find the value of x.
Answer options: 4, 6, 5, 7
Answer:
x = 6
Step-by-step explanation:
The radius in this case measures; 20/2 = 10 since the diameter is 20.
The chord measuring 16 units has been bisected, hence each portion measures 8 units.
We now apply Pythagoras theorem since we are dealing with a right angled triangle with 2 given sides;
x^2 = 10^2 - 8^2
x^2 = 36
x = 6
Final answer:
Without a specific equation or sufficient context, it is not possible to determine the correct value of x from the provided answer options (4, 6, 5, 7). The provided excerpts mention various unrelated values and scenarios involving x.
Explanation:
The specific value of x is not provided in the context of the information given, making it impossible to accurately determine its value. The excerpts given mention several different equations and scenarios, including various values for x such as x=3, x=-7, and instances where x=1 is a solution. However, these are not directly related to a given problem or an equation we can solve in this context.
Moreover, references to checking answers online with exercise codes and the mention of convergence related to initial guesses suggests that these excerpts are from a discussion involving solving equations using numerical methods, possibly from a textbook or set of course notes. To find the correct value of x, we would need to know the specific equation or problem we are trying to solve.
Without a clear and specific equation to solve, or additional context, we cannot accurately determine which of the answer options (4, 6, 5, 7) is the correct value of x.
Javier creates a rectangular painting.The painting is 3feet long and more than 2 feet wide.The expressions 3(2+x) represents the area of the painting.Write an expression equivalent to 3(2+x)
Answer:
are there any answer choices to chose from. if so pls lmk the options. if not lmk and ill be happy to help
Step-by-step explanation:
what is 10 times as much as 430?
Answer:
4300
Step-by-step explanation:
430*10=4300
Answer:
43
Step-by-step explanation:
43 x 10 = 430
Drag the correct steps into order to evaluate 42 + t6 for t = 12.
Answer:
42+ (12)6=
42+72=114
Step-by-step explanation:
use pemdas to eliminate parethesis then add them together
Answer:
1. 42 + t/6
2. 42 + 12/6
3. 42 + 2
4. 44
Step-by-step explanation:
-You start of with 42 + t/6. If t = 6
-If t = 6, the next step should be to replace t with 12 So it would be 42 + 12/6.
-If we have 12/6 we know to divide. 12 divided by 6 is 2. So we would replace 12/6 with 2. Now we have 42 plus 2
-42 plus 2 is 44.
The ages of 10 students in mrs.kiperlings class are 14,14,13,13,13,15,14,14,13,13.what is the mean absolute deviation of the ages.
Answer:
13.6
Step-by-step explanation:
Add all of the ages up:
14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13 = 136
Then divide that by 10:
136/10 = 13.6
To calculate the mean absolute deviation of the ages in Mrs. Kiperling's class, first calculate the mean, then the absolute differences between each age and the mean, and finally average those differences to get an MAD of 0.6 years.
Explanation:The mean absolute deviation (MAD) of a set of numbers is a measure of how spread out the numbers are from the average (mean). To calculate the MAD, we first find the mean of the data set, then find the absolute differences between each data point and the mean. Finally, we average those absolute differences to get the MAD. In this case, we begin by calculating the mean of the student ages:
Mean age = (14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13) / 10 = 13.6
Next, we find the absolute differences from the mean for each age:
|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6|13 - 13.6| = 0.6|15 - 13.6| = 1.4|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6Now we calculate the mean of these absolute differences:
MAD = (0.4 + 0.4 + 0.6 + 0.6 + 0.6 + 1.4 + 0.4 + 0.4 + 0.6 + 0.6) / 10 = 6 / 10 = 0.6
So, the mean absolute deviation of the student ages in Mrs. Kiperling's class is 0.6 years.
Which expression gives the area of this figure in square units?
Answer:12+6
Step-by-step explanation:
What is the approximate area of a semicircle with diameter of 22 inches
Answer:
Aprox 190 inch2
Step-by-step explanation:
A = [Pi*r^2]/2
A = 60.5*Pi
A = 189.97 inc2
Best regards
Answer:
190 Square inches
Step-by-step explanation:
Formula for a semicircle is A=3.14*r^2/2
R=11 because its half the diameter
11^2=121
121 * 3.14 = 379.94
379.94 / 2 = 189.97
189.97 is approximately 190.
Is 0.67 a terminating or a repeating decimal
Answer:
Terminating decimal.
Step-by-step explanation:
A terminating decimal had an end.
0.67 ends after the 7; therefore it's terminating.
A recurring decimal does not end.
⅓ or 0.333333333... is a recurring decimal because it never ends. Similarly with ⅔ or 0.6666666666....
It is terminating good luck
Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8
Equations: x+2y=27
2x+3y=46
first set the first equation equal to x
subtract 2y from both sides
x=27-2y now plug this in to the other equation
2(27-2y)+3y=46 distribute
54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8
If you weren't asked to show work you could just plug the choices given into the equation
Final answer:
By using the elimination method and subtracting the second given equation from the doubled first equation, we find that the solution for y in the system of equations is y=8.
Explanation:
We are tasked with finding the solution for y in the system of equations:
x + 2y = 27
2x + 3y = 46
To solve the system, we can use either the substitution method or the elimination method. Let's use the elimination method for this problem:
Multiply the first equation by 2:
(2)(x + 2y) = (2)(27)
2x + 4y = 54
Now we have:
2x + 4y = 54 (from step 1)
2x + 3y = 46 (original second equation)
Subtract the second equation from the first:
(2x + 4y) - (2x + 3y) = 54 - 46
y = 8Thus, y=8 is the solution to the system of equations, which corresponds to option D.
Which segment is the image of AB reflected across the line y= -2
Answer:
GH
Step-by-step explanation:
If you look at y = -2, you can see that AB is one unit below it. Now if you flip this line segment across y = -2, all you have to do is count on unit up and find segment GH is in the correct position.
Answer:
The line segment GH is the answer.
Step-by-step explanation:
In the given figure we can see that point B of line AB lies one unit below the given y=-2. Now, when this line across y = -2, the point B will lie one unit above -2 that is H with the other end G.
So, GH is the correct answer.
Sebastian saved money in his piggy bank. He kept track on how much money he saved at the end of each week on the line graph below.
How much money had Sebastian saved by the end of seven weeks?
Answer:
$90
Step-by-step explanation:
Look at the number 7 on the bottom right of the graph. That means at the end of 7 weeks. Now look vertically up from there until you see a point directly above 7 weeks. Look to the left of that point, and you see that the point directly above 7 weeks is at the level of $90. That means that at the end of 7 weeks, he had $90.
Will mark BRAINLIEST!!!!
Answer:
the third one down
Step-by-step explanation:
Answer:
[tex]\frac{8\sqrt{x} }{y}[/tex]
I hope that helped
what is the soution to the equation 1/2 x + 3 = 2/3 x + 1
a.1/3
b.2/3
c.2
d.12
Answer:
d
Step-by-step explanation:
To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6
3x + 18 = 4x + 6 ← equation with no fractions
Subtract 4x from both sides
- x + 18 = 6 ( subtract 18 from both sides )
- x = - 12 ( multiply both sides by - 1 )
x = 12 → d
[tex]\boxed{\bold{x=12}}[/tex]
Step-by-step explanation:Subtract 3 from both sides
[tex]\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}[/tex]
Simplify[tex]\bold{\frac{1}{2}x=\frac{2}{3}x-2}[/tex]
Subtract [tex]\bold{\frac{2}{3}x }[/tex] from both sides[tex]\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}[/tex]
Simplify[tex]\bold{-\frac{1}{6}x=-2}[/tex]
Multiply both sides by -6[tex]\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}[/tex]
Simplify[tex]\bold{x=12}[/tex]
Which formula should be used to find the area of the composite shape?
The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. [tex]lw[/tex]), while the area of the triangle is half the product of the base and height ([tex]\frac{1}{2}bh[/tex]).
The sum of the two areas is the area of the composite shape.
ANSWER
area equals half of base times height plus length times width so d
Find the volume of the cylinder. Rounded to the nearest tenth 9cm and 2cm
V=πr2h
V=3.14(9)2(2)
V=3.14(81)(2)
V=254.34(2)
V=508.68