Answer:
x + y = 34
10*x + 15*y = 410
Step-by-step explanation:
The equation system that models the situation would be made up of two equations:
The first equation would be the total number of hours for both jobs, that is, the number of babysat work hours and the number of yardwork work hours equals 34 total hours.
x + y = 34
The second equation would be the total amount of money earned, in this case it would be to multiply the earnings of each job by the number of hours of each job and add it up and you should give a total of 410 which are your total earnings.
10 * x + 15 * y = 410
Therefore the system of equations would be:
x + y = 34
10 * x + 15 * y = 410
NEED ASAP! A fountain sprays water into a pool as part of the filtration system. The projected path of water is modeled by the function given in the table, where x represents the time in seconds since the water left the fountain and f(x) represents the height in feet above the pool’s water line. How many seconds does the water travel through the air? A. –6 B. 1.5 C. 3 D. 5
Answer:
The correct answer is C. the water goes through the air for only 3 seconds.
D is inncorrect because if the height of the water is negative, then it is no longer in the air.
Step-by-step explanation:
Answer:
the answer is C. 3
Step-by-step explanation:
ROUND THESE TO THE NEAREST THOUSANDTH 48.1754 19.9259 5.5722
Step-by-step explanation:
Nearest thousandth is the third digit after the decimal point.
Or in other words :writing this number till reaching the third digit after the point (3rd digit in decimal part)
48.175
19.926
5.572
Hope this helps you.. Good Luck!
Factor out gcf of 4-2n
Answer:
2
Factored out:
2 ( 2 − n )
Answer:
2
Step-by-step explanation:
The GCF (greatest common factor), is 2 because 2 can go into both numbers.
original: 4-2n
with GCF factored out: 2(2-n)
Select the correct answer.
Lewis saved $450 for a new laptop. At a local computer store, Lewis decides to purchase a laptop with a sticker price of $429.99. The sales tax rate that will apply at the time of purchase is 6%. Does Lewis have enough to purchase the laptop?
A.
No, the cost of the laptop after applying sales tax is $687.98.
B.
No, the cost of the laptop after applying sales tax is $558.99.
C.
No, the cost of the laptop after applying sales tax is $455.79.
D.
Yes, the cost of the laptop after applying sales tax is $429.99.
E.
Yes, the cost of the laptop after applying sales tax is $402.20.
Answer:
c
Step-by-step explanation:
find 6%
429.99*6/100= 25.7994
Total cause of the laptop
429.99+25.7994= 455.79
No, the cost of the laptop after applying sales tax is $455.79.(option c)
What is Sales tax ?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
We have,
Lewis saved dollar for a new laptop = 450 dollar
Laptop sticker price = 429.99 dollar
Sales tax rate = 6%
According to the question
Sales tax rate of 429.99 dollar
=429.99 × 6/100
= 25.7994
Total cause of the laptop
429.99+25.7994= 455.79
Hence, the cost of the laptop after sales tax is 455.79 dollar
Thus ,Lewis have not enough to purchase the laptop.
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Use absolute value to express the distance between −10 and 16 on the number line.
Answer: 26
Step-by-step explanation:
From -10 to 0 will be 10
1 to 16 are 16
Answer:
Step-by-step explanation:
There are several things you need to know in order to write the absolute value equation for a situation. First is how to formulate what you need. The absolute value equation follows the formatting:
| x - midpoint | = the distance between the midpoint and one of the endpoints.
That means we also need to be able to find the midpoint of -10 and 16. Finding the midpoint is finding the middle, which is the same as finding an average of the 2 numbers.
[tex]M=\frac{-10+16}{2}=3[/tex]
So the midpoint is 3. The distance between 3 and either one of the endpoints is going to be the same, by definition of the midpoint of the 2 numbers. The distance between 3 and 16 is 13 units. The distance between 3 and -10 is also 13 units. So, to put this into an absolute value equation,
| x - 3 | = 13
Find the 7th term of the geometric sequence -2, 6, -18, 54, -162, ...
Answer:
-1458
Step-by-step explanation:
Let's find the rule of the sequence. It seems that each term is -3 times the previous term.
Let's continue the sequence.
486, -1458
-1458 is the 7th term
quadratic function and equation
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
Step-by-step explanation:
hope this helps you :)
The softball in the mitt is 5.2 inches in diameter. What is its volume?
Answer: 72.9 in^3
Step-by-step explanation:
The softball is a sphere, and we know that the volume of a sphere is:
V = (4/3)*pi*r^3
where pi = 3.14 and r is the radius.
We also know that the radius is half the diameter, and the diameter is 5.2 in
r = 5.2in/2 = 2.6in
Then the volume is:
V = (4/3)*pi*(2.6in)^3 = 72.9 in^3
The correct answer is 73.6 in^3
I need some help asap!
Answer:
I think itd center of rotataion
Step-by-step explanation:
Answer:
center of rotation
Step-by-step explanation:
the triangle ABC is rotated about point D to create triangle A'B'C'
What is the square root of -1?
a. -i
b. i
c. -1
d. 1
Round to the nearest hundredth
Answer:
hope this is correct
Answer:
AC ≈ 2.87
Step-by-step explanation:
Using the sine ratio in the right triangle
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{5}[/tex]
Multiply both sides by 5
5 × sin35° = AC , thus
AC ≈ 2.87 ( to the nearest hundredth )
What is the length of the side AC in the triangle above
The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
Answer:
dimensions are 2.19 inches by 9.14 inches
Step-by-step explanation:
Here, we are interested in knowing the dimensions of the rectangle
Now, let the width of the rectangle be x, from the question, we can write;
6x-4 as the length
Area of rectangle = l * b
x(6x-4) = 20
6x^2 - 4x = 20
divide through by 2
3x^2-2x = 10
3x^2 -2x -10 = 0
using quadratic formula;
x = -b ± √(b^2 - 4ac)/2a
From the quadratic equation, a = 3, b = -2 and c = -10
substituting these values, we have
x = 2 ± √(-2)^2 -4(3)(-10))/6
x = 2 ± √(124)/6
x = 2 + √(124)/6 or 2 - √(124)/6
x = (2+11.14)/6 or (2-11.14)/6
x = 2.19 or -1.52
Since width cannot be negative, we choose 2.19 alone
So the length is 6(2.19) -4 = 9.14
What is the median of the first half of the data? (first quartile)
The median of the given data is 4.5
How to find the median of data?The median of data are values in the middle after rearrangement. Since we are not given a set of data, let us use the following data
2, 3, 5, 9, 4, 5, 3, 11
Arrange the given data
2, 3, 3, 4, 5, 5, 9, 11
From the arranged data , 4 and 5 are at the middle. Take the average
Average =(4+5)/2
Average = 9/2 = 4.5
Hence the median of the given data is 4.5
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solve:
7w+5=3w -15 please help
Answer:
w=−5
Step-by-step explanation:
Step 1: Subtract 3w from both sides.
7w+5−3w=3w−15−3w
4w+5=−15
Step 2: Subtract 5 from both sides.
4w+5−5=−15−5
4w=−20
Step 3: Divide both sides by 4.
4w4=−204
Answer: w=−5
Hope this helps.
Answer:
w =-5
Step-by-step explanation:
Group the variables and constant on each side
remember that the signs will change while switching the places.
7w-3w=-15-5
4w=-20
divide the coefficient to keep only the variable and find its value
4÷4w= -20÷4
w= -5
therefore w is -5
what transformations were applied to ABCD to obtain A'B'C'D'?
Answer:
the answer is C
Step-by-step explanation:
Rotate 90 degrees counterclockwise , the translate three units to the left
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of 9 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.
Answer:3hrs 59min
Step-by-step explanation:
πd=perimeter
(113÷3.14)
=35.99
9yards=1hr
35.99yards=?
35.99÷9=3hrs 59min
How do you do this? its so easy but i cant word it right apparently
Answer:
apparently just label each part ( a, b, c, d, so on) and tell the order/ switch em around
Step-by-step explanation:
Answer:
area = 4cm2
Step-by-step explanation:
the area of triangle is gotten by 1/2bh
1/2 × 2 × 4 = 4.
base is 2cm because it has covered 2 grids while the height is the measure from the base to the tip of the triangle, which is 4cm.
area of square is L × L
2 by 2 = 4.
so, the two shapes have same area.
The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
PLEASE SOMEONE HELP ME WITH THIS QUESTION ANYONE!!!!
In Edward's Excellent Store, everything is 25% off. You buy a jacket that is originally for $36. When you go to the cashier, you pay 6% sales tax. How much do you pay in all?
A.$62.82
B.$28.62
C.$38.96
D.$76.83
Answer:
$28.62
Step-by-step explanation:
$36.00/4=$9.00*1.06=$28.62
Helllllppp please asap
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = [tex]\frac{h}{c}[/tex]
c = [tex]\frac{h}{\text{tan}47}[/tex]
c = [tex]\frac{4.8}{\text{tan}47}[/tex]
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = [tex]\frac{h}{b}[/tex]
b = [tex]\frac{h}{\text{tan}37}[/tex]
b = [tex]\frac{4.8}{1.0724}[/tex]
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = [tex]\frac{h}{a}[/tex]
a = [tex]\frac{h}{\text{tan}27}[/tex]
a = [tex]\frac{4.8}{0.5095}[/tex]
a = 9.42 m
At which value in the domain does f(x) = 0?
Answer:-infinity,infinity
Step-by-step explanation:
None
I NEED HELP 50 POINTS PLZZZ I NEED HELP AND BEST ANSWER GETS BRAINLEST!!
Answer:
(6, 3)
Step-by-step explanation:
Since, the triangle PQR is rotated 360° around the origin so, Q' will coincide with Q, and in this way their coordinates would be same.
Therefore, Q' (6, 3)
The correct answer is (6,3)
Because if you rotate any coordinate points 360 degrees around the origin, it will always remain the same.
Hope this helps :D
Don't forget to mark the other guy brainliest ;)
Explain how to determine the zeros of f(x)=(x+3)(x-1)
Answer:
x= -3, x = 1
Step-by-step explanation:
Zeros are values of x, when f(x) = 0.
0=(x+3)(x-1)
x+3 = 0, x - 1=0
x= -3, x = 1
Answer:
x = -3, x = 1
Step-by-step explanation:
To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.
In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.
As such, these are your solutions.
A grocer bought 15 dozen oranges at $1.00 a dozen. She threw away 20 rotten oranges, and then sold the rest at 8 oranges for 85 cents. How much profit did the grocer make, in dollars and cents?
Answer:
$2.00
Step-by-step explanation:
The grocer bought the oranges for $15.00
15x12= 180 To find the number of oranges he bought
180-20=160 To find the rest of the remaining oranges
160/8= 20 To find how many packs he has
20x.85= 17 To find how much he made from selling the remaining oranges
17-15=2 To find the profit
Find sin, where the angle is shown
Give the exact value, not a decimal approximation
Answer:
sinΘ = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex]
The opposite is 24, but we require the hypotenuse h
Using Pythagoras' identity
h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
h = [tex]\sqrt{625}[/tex] = 25
Thus
sinΘ = [tex]\frac{24}{25}[/tex]
I don't understand this at all TwT
Answer:
$30
Step-by-step explanation:
since there is no sales tax,
Amount of money used to pay
= change + total price of items bought
Let's find the total price of the items she bought.
Chicken
1 package ----- $12.36
2 packages ----- 2($12.36)= $24.72
Broccoli
1 pound ----- $1.98
½ pound ----- $1.98 ÷2= $0.99
Milk
1 gallon ----- $3.49
Total amount paid
= $24.72 +$0.99 +$3.49
= $29.20
Thus, amount of money Susan used to pay
= $29.20 +$0.80
= $30
What ratio can you use to determine the probability of a compound event?
Drag words to complete the ratio. Each word may be used only once.
Answer:
Step-by-step explanation:
Favorable outcome. To possible outcome
what is the y-intercept of y=-3x-2
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
[tex] \frac{200}{l - 12} = \frac{300}{l - 9} [/tex]
Step-by-step explanation:
Hope the Answer is helpful