Answer: 24 years
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
23.5 rounded to the nearest year is 24
Jose earns 954 per hour at his job he worked 18 hours last week calculate Jose's pay before taxes
Answer:
$171.72
Step-by-step explanation:
$9.54 x 18
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Answer:
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Step-by-step explanation:
Find the mean ,median and mode of the weights of people shown
Answer:
[tex](a)\ Mean = 80kg[/tex]
[tex](b)\ Median = 76kg[/tex]
[tex](c)\ Mode = 61kg[/tex]
Step-by-step explanation:
Given
[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]
[tex]n = 9[/tex]
Solving (a): The mean
This is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]
[tex]\bar x = \frac{720kg}{9}[/tex]
[tex]\bar x = 80kg[/tex]
Hence:
[tex]Mean = 80kg[/tex]
Solving (b): The median
[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]
Arrange in ascending order
[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]
[tex]n = 9[/tex]
So, the position of the median element is:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{9+1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The 5th element is 76kg
Hence:
[tex]Median = 76kg[/tex]
Solving (c): The mode
In the given data
[tex]Mode = 61kg[/tex]
Because it has a frequency of 2 (the highest), others have 1
What is the value of x help please
Answer:
110 degrees
Step-by-step explanation:
the answer is 110 degrees
add up everything and subtract it by 360 to get 110.
plz dont report. Can I have brainliest. I need it.
Answer:
we will add all the sides
40+128+×+82=360
250+×=360
×=360-250
x=110
I need this please help me
9514 1404 393
Answer:
L'(4, -3)
Step-by-step explanation:
The reflection over the horizontal line y=-1 effects the transformation ...
(x, y) ⇒ (x, -2-y)
So, the coordinates of L are transformed to ..
L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?
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Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
Additional comment
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
the sum of three consecutive even numbers is 42. what are the three numbers?
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.
Answer:
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.
In this question:
[tex]y = 9x + 5[/tex]
Exchanging x and y:
[tex]x = 9y + 5[/tex]
Isolating y:
[tex]9y = x - 5[/tex]
[tex]y = \frac{x - 5}{9}[/tex]
[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
HELP HELP HELP HELP ❄️✨
Answer:
Step-by-step explanation:
If you add the section from 1-3 and 4-6 you are adding 8 days plus 13 days. This will give you your answer of 21 days. Answer=D. 21 days
what is the volume of this shape?
Answer:
84,000 cm³
Step-by-step explanation:
This is a prism with a trapezoidal base.
V = BH
where V = volume of prism, B = area of the base, H = height of the prism
For the trapezoid, the area is
A = ½(b1 + b2)h,
where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.
V = ½(b1 + b2)hH
V = ½(60 cm + 45 cm) (20 cm)(80 cm)
V = 84,000 cm³
Digger the Dog Logan's dog, Digger, was constantly digging his way under the fence, escaping from the back yard, and following Logan to school. Digger was also in big trouble with Logan's mom who enjoyed leisure time away from her law firm by taking care of her flower garden. They decided they would have to keep digger tied up while they were away during the day. After a long discussion about how much of the back yard Digger should be allowed to destroy, they agreed that at least two-thirds of the yard should be safe for planting flowers and other plants. Logan tied Digger to the corner of the shed, at point A, with a 25-foot rope. Will this satisfy his mom?
Answer:
Is there a picture attached to this or how big the whole yard is?
Step-by-step explanation:
Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.
Answer:
11 5/18 ft squared
Step-by-step explanation:
because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is
A = Length × Width
so now we plug in the numbers.
A = (4 5/6) × (2 1/3)
I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.
A = (29/6) × (7/3)
A = 203/18 ft squared
In the answer section, the numbers look different because I converted my 203/18 into a mixed number.
A = 203/18 = 11 5/18 ft squared
Which graph represents the given equation?
y = :2 + 41 - 2
O. A.
N
X
2
N
-21
B.
ܢܬ
#
2
-21
N
+21
C.
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Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
_____
Additional comment
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
Write the product using exponents
2 × 2 × 2 × n × n
Using exponents, the product is __
Plssd help
Step-by-step explanation:
the product is
2³ x n²
sorry but I don't get your question
Step-by-step explanation:
it is equal to 8n2 that is the answer
What is the degree of the missing angle?
3. Create a Venn diagram or Table with numbers for:
A group of 80 students were asked if they were taking science or art.
10 were taking neither, 50 were taking science, 30 were taking art.
Answer:
10 students were taking science and art at the same time.
Step-by-step explanation:
Given that a group of 80 students were asked if they were taking science or art, of which 10 were taking neither, 50 were taking science, and 30 were taking art, to determine how many students take both science and art, the following calculation must be done:
80 - 10 = 70
50 - 30 - 70 = X
80 - 70 = X
10 = X
Therefore, 10 students were taking science and art at the same time.
A coffeemaker can brew at a rate of 1 cup every 0 8 minute. At this rate, how long would it take to brew 6 cups?
Answer:
48 minutes
Step-by-step explanation:
Multiply
What is mJH
mJH = degrees
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tCan somebody help me with this assignment I got 5x more assignments to do! Tryna graduate .
- 17x2 - 30x = 40 What is b + c?
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Answer:
+70 or -70, depending on how you rewrite the equation
Step-by-step explanation:
A quadratic equation in standard form can be written as ...
ax² +bx +c = 0
When this equation is written in standard form, it could be either of ...
17x² +30x +40 = 0 . . . . . . . . . . add 17x²+30x to both sides
or
-17x^2 -30x -40 = 0 . . . . . . . . . subtract 40 from both sides
__
In the first case, a = 17, b = 30, c = 40 and (b+c) = 70.
In the second case, a = -17, b = -17, c = -40 and (b+c) = -70.
_____
Additional comment
I personally prefer a positive leading coefficient, but it is less work to subtract 40 from both sides than to subtract 2 terms from both sides. Check your curriculum materials for the preferred rewrite in this case.
A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. Using 3.14 for pi, which of the following can be
used to calculate the volume of the cylinder? (6 points)
Answer:
The volume of the cylinder is 6,104.16 square meters.
Step-by-step explanation:
Given that a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height, to determine, using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder, the following calculation must be done, knowing that the volume of a cylinder is determined by multiplying Pi by the height by the radius squared, and that the diameter of a circle is twice its radius:
3.14 x 6 x (6x3) ^ 2 = X
18.84 x 18 ^ 2 = X
18.84 x 324 = X
6,104.16 = X
Therefore, the volume of the cylinder is 6,104.16 square meters.
Answer:
(3.14)(18m)2(6m)
Step-by-step explanation:
I took the test
Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l
Step-by-step explanation:
all working is above
hope that helps
500 gallons of water is being drained at a rate of 4 gallons per hour, If y is the number os gallons of water in the tank after being drained for x hours, which equation represents the situation?
Answer:
4x + y = 500
Step-by-step explanation:
Given:
Volume of water = 500 gallons
Water drained rate = 4 gallon per hour
Find:
Equation
Computation:
Total volume of water left in tank = y
Number of hour water drained = x
So,
Volume of water - Total volume of water left in tank = Water drained rate[Number of hour water drained]
500 - y = 4x
So,
Water drained;
4x + y = 500
Answer:
The correct equation would be y = 4x - 500.Step-by-step explanation:
y = The number of gallons in the tank after being drained for x hours
x = The number of hours that the tank is being drained
500 = The number of gallons in the tank
4 gallons = the number of gallons that are being drained per hour
y = 4x - 500
Correct answer: 0 = 4 (125) - 500
500 / 4 = 125
Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. How many inches did the corn plant grow during Week 2?
Answer:
The corn plant grew by 11.17 inches during week 2.
Step-by-step explanation:
7 and 1/3 inches tall at the end of Week 1.
The height at the end of week 1, as a simple fraction, is:
[tex]7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}[/tex]
The corn plant was 18 1/2 inches tall at the end of Week 2.
At the end of week 2, the height will be of:
[tex]18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}[/tex]
How many inches did the corn plant grow during Week 2?
Height at the end of week 2 subtracted by the height at the end of week 1. So
[tex]\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17[/tex]
The corn plant grew by 11.17 inches during week 2.
Which ordered pair is a solution of the linear system: x+2y=-8 and
-4x+y=5? *
O A. (-2-3)
OB.(2-3)
C. (-3,-2)
D. (-1,0)
HELP ASAPPPPPP
Answer:
option A
A(-2,-3)
Step-by-step explanation:
make y subject of formula
x+2y=-8
2y=-8-x
y=(-8-x)/2
y=-4-x/2
when x=-2
y=-4-(-2)/2
=-4-(-1)
=-4+1
=-3
(-2,-3) is an ordered pair
can someone please explain how to solve for the proportion?
Answer:
y=5
Step-by-step explanation:
First simplify:
y/15=1/3
Multiply each side by 3
y/15x3=1/3x3
y/5=1
Multiply each side by 5
y=5
What is the missing term?
Answer:
-10x
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
-10x
Step-by-step explanation:
(-2) * (5x) = -10x
Which mixed number is equivalent to the fraction 11/4
Answer:
2 3/4
Step-by-step explanation:
Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tubes of paint that all costs the same amount. *
Answer:
if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars
Step-by-step explanation:
hope this helps
PLS HELP!!!!!!!!!!!!!
Write the recursive rule for the sequence: 5, -10, 20, -40, 80
Answer:
We observe that this is a GP with:
the first term t₁ = 5common ratio r = -2The nth term is:
tₙ = t₁rⁿ⁻¹tₙ = 5(-2)ⁿ⁻¹