Answer:
D. $2,511
Step-by-step explanation:
First off, we need to write down the facts we know.
There are about 52.177 weeks in a year
Cesar works 28 hours each week
Cesar makes $23 an hour
There are 12 months in a year
Cesar has $3,360 after his monthly expenses
To figure out how many hours are in a "work year," multiply the number of work hours in a week by the number of weeks in a year. In other words, multiply Cesar's 28 hour work week by about 52.177 weeks. That makes 1,456 hours in his work year. That means he makes $33,492 a year. If you multiply $2,511 by the months in a year (12), you get $30132. Finally, subtract his annual salary by $30132 to get $3,360, which is what was left of Cesar's earnings after paying all of his monthly expenses. This means that your answer is: D. $2,511.
Answer:
D. $2,511
Step-by-step explanation:
$23 x 28 x 52 = $33,488
$33,488 ÷ 12 = $2,790.66 = $2,791
12($2,791) - $3,360 = 30,132
$30,132 ÷ 12 = [$2,511]
Two sides of a trangie measure 5 in and 12 in which could be the length of the third side?
Answer:
The length of the third side could be anywhere between [tex]7\; \rm in[/tex] and [tex]17\; \rm in[/tex], excluding the two endpoints.
Step-by-step explanation:
Let [tex]x[/tex] represent the length (in inches) of the third side.
In a triangle, the sum of the lengths of any two sides should be greater than the length of the third side. The lengths of the three sides of this triangle are:
[tex]5\; \rm in[/tex], [tex]12\; \rm in[/tex], and[tex]x\; \rm in[/tex].The sum of the lengths of the first two sides is [tex]5 + 12 = 17\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the third side: [tex]x\; \rm in[/tex]. That gives the first inequality:
[tex]5 + 12 > x[/tex].Similarly, the sum of the lengths of the first and the third sides is [tex](5 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the second side: [tex]12\; \rm in[/tex]. That gives the second inequality:
[tex]5 + x > 12[/tex].The sum of the lengths of the second and the third sides is [tex](12 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the first side: [tex]5\; \rm in[/tex]. That gives the third inequality:
[tex]12 + x> 5[/tex].Solve the three inequalities for the range of [tex]x[/tex], the length of the third side:
[tex]\displaystyle \left\lbrace\begin{aligned}& 5 + 12 > x \\ & 5 + x > 12 \\ & 12 + x > 5\end{aligned}\right.[/tex].
The first inequality simplifies to [tex]x < 17[/tex]. The second inequalities gives [tex]x > 7[/tex], while the third gives [tex]x > -7[/tex].
Refer to the diagram attached. [tex]7 < x < 17[/tex] is the region that satisfies all three inequalities. Therefore, the length of the third side should be between [tex]7[/tex] and [tex]17[/tex], exclusive.
A bag contains 10 red marbles and 15 green marbles. If yuki selects a marble from the bag without looking,what is the probablity that she will pull out a res marble?
Answer:
1/25
Step-by-step explanation:
The probability is 1/25 because 10 red marbles plus 15 green marbles = 25 marbles in total. Therefore, the probability of choosing a red marble without looking is 1/25.
Answer:
The probability that Yuki will pull out a red marble is [tex]\( \frac{2}{5} \)[/tex].
Explanation:
To find the probability of selecting a red marble, you divide the number of red marbles by the total number of marbles in the bag.
Given:
- Number of red marbles = 10
- Number of green marbles = 15
Total number of marbles = Number of red marbles + Number of green marbles
Total number of marbles = 10 + 15 = 25
Now, to find the probability of selecting a red marble:
[tex]\[ \text{Probability} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} \][/tex]
[tex]\[ \text{Probability} = \frac{10}{25} \][/tex]
[tex]\[ \text{Probability} = \frac{2}{5} \][/tex]
A restaurant served 80 entrees during dinner. Of the 80 entrees, 24 were fish. The restaurant serves about 720 dinner entrees in a week. About how many of these 720 dinner entrees should the manager expect to be fish?
A.
56
B.
104
C.
192
D.
216
Answer:
D
Step-by-step explanation:
We can set up a proportion because the "expected" amount should correspond to the sample amount.
[tex]\frac{24}{80} =\frac{x}{720}[/tex], where x is the number of dinner entrees that are fish
Cross-multiply:
80 * x = 24 * 720
80x = 17280
Divide both sides by 80:
x = 17280/80 = 216
The answer is D.
Hope this helps!
Answer:
D. 216
Step-by-step explanation:
Entrees : fish
80 : 24
720 : X
X/720 = 24/80
X = 720 × 24/80
X = 216
What is the radius and diameter of the following circle? 18cm
Answer:
Radius- 9cm
Diameter-18 cm
Step-by-step explanation:
The radius is ALWAYS half of the diameter.
Answer:
Radius:9cm
Diameter :18 cm
Step-by-step explanation:
Consider the diagram below. What is the mDEB?
Answer:146
Step-by-step explanation:
The measure of the arc DEB is equivalent to 146°.
What is angle?An angle is formed when two rays have the same end point. The common end point is called vertex.
Given is to find the measure of arc DEB.
We can write the measure of angle DBE as half the measure of arc BCD. Mathematically, we can write -
∠DBE = 1/2(arc BCD)
107 = 1/2(arc BCD)
arc BCD = 107 x 2
arc BCD = 214°
Now, we can write -
m(arc DEB) + m(arc BCD) = 360°
m(arc DEB) = 360 - 214
m(arc DEB) = 146°
Therefore, the measure of the arc DEB is equivalent to 146°.
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An arc that lies outside of a central angle is called a
O
A. minor arc
O
B. semicircle
O
c. major arc
SUE
An arc that lies outside of a central angle is called a Major arc.
Option 'C' is correct.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
An arc that lies outside of a central angle is called a major arc.
Since arc of a circle is a continuous portion of a circle.
And Central angle is the angle formed at the centre and it is an acute angle so, an arc that lies outside of a central angle will be a major arc only.
Because major arc is greater than half of the circle so, it can be formed outside of a central angle only.
Hence, An arc that lies outside of a central angle is called a Major arc.
Option 'B' is correct.
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Solve for b.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
–67b+ 6 < 96 + 43
Answer:b>-1 and 66/67
Step-by-step explanation:
First you add like terms. So 96+43. Your problem should now look like this -67+6=139. Now subtract 139 from 6 and you will be left with this -67b<133. Now divide 133 by -67 and you get -1.985074627. Or -1 66/67 as a fraction. You have to flip the sign because you divided by a negative number. You answer should look like this b>-1 and 66/67.
Evaluate the expression 1/4y+10+y squared y=8
How can one variable equations have more than one solution in some cases and no solutions in others?
Answer:A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
Step-by-step explanation:
Answer:
There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.
Step-by-step explanation:
A rectangle measures 4 1/2 inches by 2 3/4 inches, what is the area of the rectangle? Answer in fraction form.
If the dimensions of a solid proportionally increase by a scale factor of 5, by what factor does the surface area
increase?
5/2
5/4
25/2
25/4
Answer:
25/4
Step-by-step explanation:
Can you simplify 7 (2x -3)
Answer:
simplification of the equation is:
14x-21
On the first day it was posted online, a music video got 1750 views. The
number of views that the video got each day increased by 20% per day. How
many total views did the video get over the course of the first 5 days, to the
nearest whole number?
To find the total views a music video got over the first 5 days with a 20% daily increase, calculate the views for each day using a geometric sequence formula and sum them, resulting in approximately 13023 views.
Explanation:To calculate the total views a music video got over the course of the first 5 days with a 20% daily increase starting at 1750 views, we use the geometric sequence formula V = V0 × (1 + r)n, where V0 is the initial number of views (1750), r is the daily increase rate (0.20), and n is the day number. The total views (TV) over 5 days is calculated by summing the individual daily views.
Day 1: 1750 views
Day 2: 1750 × (1 + 0.20) = 2100 views
Day 3: 1750 × (1 + 0.20)2 = 2520 views
Day 4: 1750 × (1 + 0.20)3 = 3024 views
Day 5: 1750 × (1 + 0.20)4 = 3628.8 views, rounded to 3629 views
The total views over the five days is the sum of daily views: 1750 + 2100 + 2520 + 3024 + 3629 = 13023 views.
The height of a cylinder is 12 inches and the radius is 3.5 inches. What is the approximate volume of the cylinder?
Answer:
V≈461.81in³ That is the answer!
V = pi*r^2*h
V = pi*(3.5)^2*12
V = pi*12.25*12
V = pi*147
V = 147pi .... exact volume in terms of pi
V = 461.8141200777 is the approximate volume (use a calculator here)
The units for the volume are in cubic inches
Side note: If you use pi = 3.14, then you'll get an approximate volume of 147*pi = 147*3.14 = 461.58 which is a bit off from the other value we got earlier due to the fact pi = 3.14 is not as accurate as using the calculator's internal value of pi.
a cube has an edge of D cm. What is the volume of the cube
Answer:
The volume of the cube is D * D * D or D³ cm³
Step-by-step explanation:
Can someone please help me ASAP
Answer:
(-4,0) (0,3)
(3-0)/(0+4)= 3/4
y - 0 = 3/4(x + 4)
y = 3/4x + 3
answer is a
Step-by-step explanation:
Answer:
It¨s A
Step-by-step explanation:
you first have to find the slope by doing rise over run,I checked the table and labeled the values for the x-axis and y-axis,the found the y-intercept which is when x is always zero and y is any random number so one of the points on the table show the x is 0 and y is 3 so that means the y-intercept is 3 also written as (0,3).
Solve the one-variable equation using the distributive property and properties of equality.
–6(2 + a) = –48
What is the value of a?
a = –6
a = –3
a = 5
a = 6
Answer:
a=6
Step-by-step explanation:
-6(2+(6)=-48
-6(2+6)=-48
(-6X2)+(-6+6)=-48
(-12)+(-36)=-48
-48=-48
They are equal. Tell me if I made a mistake. Thanks!
Who can help me with this I’ll mark u as brainliest
Answer:
The answer is D
Step-by-step explanation:
Crown me?
Answer:
D
Step-by-step explanation:
x^2+18x-19=0
(x+18)(x-1)
x=-18
x=1
Model the following equation:
2x - 5 = -7
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
[tex]2x - 5 = -7[/tex]
Rearrange terms
[tex]2x=-2[/tex]
Solve for x
[tex]x=-1[/tex]
Question is the attachment
Answer:
180
^
120 Green, 60 Red
^ ^
Bruised Green = 30, Not Bruised Green = 90/Bruised Red = 12, Not Bruised Red = 48
Step-by-step explanation:
There is a beginning amount of 180 which goes in the first bubble. Then, you divide by 3 because 1/3 is red. 180 divided by 3 is 60, so there are 60 red apples. And 180 minus 60 is 120 and that's the amount of green. Then, 1/5 of the red apples are bruised so 60 divided by 5 is 12, so 12 are bruised and sincce 60 - 12 = 48, 48 are not. And then 1/4 of the green are bruised so 120 divided by 4 is 30, which means 30 are bruised. Lastly 120 minus 30 = 90, so 90 are not bruised that are green.
Which is the asymptote of the graph? y=0, y=1, y=2, y=3
Answer:
the asymptote would be zero because the graph is approaching zero, but never actually touches it.
Which equation results from adding the equations in this system?
Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18.
5 x = negative 10
5 x = 26
Negative 5 x = 26
Negative 5 x = negative 10
Answer:
D)-5x = -10
Step-by-step explanation:
The equation results from adding the equations in this system is -5x = -10.
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
-8x + 8y = 8 _____(1)
3x - 8y = -18 _____(2)
Now,
Adding (1) and (2) we get,
-8x + 8y + 3x - 8y = 8 - 18
-5x = -10
Thus,
-5x = -10 is the equation.
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What is the probability of someone preferring phone
calls, given the person is a female?
O 43%
O 46%
O 54%
O 57%
Answer: 54
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST!! Which number is rational?
Answer:
sqrt(64)
Step-by-step explanation:
The square root of 64 = 8 and 8 is a rational number
Answer:
C. √64
Step-by-step explanation:
The square root of 64 is rational. It is rational because the square root of 64 is 8. 8 is a rational number.
Please help me :( solve for x and y. y = 4x and 3x + 2y = 55
Final answer:
To solve the system of equations y = 4x and 3x + 2y = 55, you can substitute 4x for y in the second equation, simplify to find x = 5, and then calculate y = 20.
Explanation:
To solve for x and y using the equations y = 4x and 3x + 2y = 55, you can use substitution or elimination. Let's use substitution since we already have y expressed in terms of x.
Substitute 4x for y in the second equation: 3x + 2(4x) = 55.
Simplify and solve for x: 3x + 8x = 55 becomes 11x = 55, so x = 5.
Substitute x back into the first equation to find y: y = 4(5), so y = 20.
Therefore, the solution to the system of equations is x = 5 and y = 20.
Which statements are true about surface area and volume? Check all that apply.
Answer:
where are the choices?
Step-by-step explanation:
On a coordinate plane, a circle has a center at point (negative 6, 4). What is the equation of the circle shown in the graph? ( )² + ()² =
Answer:
1) x+6 2)y-4 3)36
Step-by-step explanation:
(x+6)² + (y-4)² = 36
Answer:
First Drop down: X+6
Second: Y-4
Third: 36
Step-by-step explanation:
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
Boys' Heights
40 41 44 46 48 50 52 54 56 58 60
Inches
Girls' Heights
40 41 44 46 48 50 52 54 56 58 60
Answer:
The girls and boys heights are equal and none are shorter or taller.
You get this answer from identifying the numbers, seeing if there is any number that is larger or shorter than 40-60.
Hope this helped!
find the height of a triangle whose base is 11cm and its area is 88cm square
Answer:2
Step-by-step explanation:
Answer:
16 cm
Step-by-step explanation:
Area of a triangle=(b×h)/2
Height=2 (area)/base
H=2(88)/11
H=176/11
H=16 cm
15+7r+r(r-3)-r^2 simplified
Answer:
15+4r
Step-by-step explanation:
15+7r+r(r-3)-r^2
Distribute
15+7r+r^2-3r-r^2
Combine like terms
15+7r-3r+r^2-r^2
15 +4r
Answer:
15 + 4r
Step-by-step explanation:
15+7r+r(r-3)-r²
15 + 7r + r² - 3r - r²
15 + 4r