Answer:
Sales tax rate = 3.94%
Step-by-step explanation:
[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]
Sales tax rate = 0.039378... ⇒ 3.94%
does this graph represent a function ? why or why not
Answer:
yes
Step-by-step explanation:
it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect
Question: Find the equation of the circle whose diameter is the segment between the intercepts of 3x + 4y = 24.
If you can answer this please explain the steps so I can understand, please and thank you so much!
Answer:
[tex](x-4)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:
[tex]3x+4y=24[/tex]
Find the intercepts first. To find the x-intercept, let y = 0:
[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]
The x-intercept is (8, 0).
To find the y-intercept, let x = 0:
[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]
The y-intercept is (0, 6).
Since this segment is the diameter, its midpoint is our center.
Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:
[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Hence, the center of the circle is:
[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]
To find the radius of our circle, we can find the diameter and divide it by two.
The diameter is the length of the segment or the distance from (0, 6) to (8, 0).
Find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
So, the diameter of our circle is:
[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
Therefore, the radius of our circle is 5.
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Our center is (4, 3) and our radius is 5.
Therefore:
[tex](x-4)^2+(y-3)^2=25[/tex]
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
Please help with these 2 problems, fill in the blank
Answer: a. -6x
b. 3a; -3a2 (square) ; - 6
Step-by-step explanation:
Find the coordinates of the
x
-intercepts for the equation of the graph below.
y
=
x
2
+
9
x
Answer:
Step-by-step explanation:
How to add a great answer
ADD YOUR ANSWER
Question
Find the coordinates of the
x
-intercepts for the equation of the graph below.
y
=
x
2
+
9
x
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
1. Find the value of x to the nearest tenth
A. 8.1
B. 7.5
C. 8.9
D. 7.9
Answer:
C.
[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...
Alexandra worked 5 hours, 4.5 hours, and 2.5 hours. The mean number of hours worked was 4. What is the mean absolute deviation?
Answer:
1
Step-by-step explanation:
5-4 = 1
4.5-4 = 0.5
2.5-4 = -1.5 but use absolute value which is +1.5
add all three values together:
1 + 0.5 + 1.5 = 3
3÷3 = 1
A computer store bought a program at a cost of $40 and sold it at a selling price of $32.5. Find the percent markdown (Rounded to a whole number) .
Answer:
answer is 18.76 percent.
Step-by-step explanation:
CP= $40
SP= $32.5
Markdown percent=?
now,
markdown %= CP-Sp/CP×100%
=7.5/40×100%
=750/40
=18.75%
The amount to be reduced is: $40 - $32.5 = $7.5
The percentage decrease is: (7.5 : 40) * 100 = 18.25%
A rancher planned to fence 6 1/2 acres of land to grow some experimental grasses. After he had finished fencing 4 3/4
acres of the land, it started snowing. How many acres of the land remained to be fenced?
Answer:
1 3/4 acres
Step-by-step explanation:
6 1/2 - 4 3/4 = the remaining acres to be fenced.
we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.
6 1/2 = 13/2 = 26/4
4 3/4 = 19/4
so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.
The cost of Cynthia's dinner is $15.20. She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?
Answer:
$3 (not exact, this is an estimate)
Step-by-step explanation:
Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3. the best estimate for the amount of tip is $3.
If 2.25 kg of tomatoes costs $6.98, how much will you pay for 8 kg
Answer:
I don't understand kbhuo
I will give u brainliest and 5 star and thanks if its correct
Answer:
It's B and E
Step-by-step explanation:
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
Find the distance between the points (6, –3) and (4,3).
Please help, giving Brainliest and 100 points!
At the beginning of the school year, 396 students attended the first football game. Attendance at the next game was 505 students. Estimate the percent of increase.
percent of increase in students is 27.525%
Answer:
Solution given:
first total no of students [FD]=396
next total no of students [ND]=505
increase %=?
we have
increase %=[tex]\frac{ND-FD}{FD}×100=\frac{505-396}{396}×100=27.525%[/tex]%
Increase in students
505-396109Percentage increase
109/396×10027.5%Here are the test marks of 6 girls and 4 boys.
Girls: 5 3 10 2 7 3
Boys: 2 5 9 3
(a) Write down the mode of the 10 marks.
(b) Work out the median mark of the
(c) Work out the mean mark of all 10 students.
help quick i really need to know the answer of
A and B
Answer:
(a) 3
(b) 3+5÷2 =4
Step-by-step explanation:
(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.
(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.
tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?
Answer:
the answer would be 20 :)
Step-by-step explanation:
Bird A has the genotype ll for bill length, and Bird B is LL. The bills of their offspring would be
Answer:
false
Step-by-step explanation:
it is false bird a has the genotype ll for bill length and bird b is LL. A short bill describes bird a's genotype
What is the value of the expression below? (4/5+3/5)+3.5x5
Answer:
18.9
Step-by-step explanation:
Start with parentheses.
4/5 + 3/5 = 7/5
Simplify 7/5, 7/5 = 1 2/5
Next numbers.
3.5 x 5 = 17.5
Add.
17.5 + 1 2/5 = 18.9
a 25% tip was paid on a 30$ meal what is the amount of the tip?
Answer:
$7.50
Step-by-step explanation:
25% of $30 is $7.50
Answer:
7.50
Step-by-step explanation:
100%-> 30
1%->0.30
25%-> 7.50
PLZ HELP ASAP
If the surface area of the rectangular prism is 224 cm 2 , what is the height?
8 cm
10 cm
6 cm
12 cm
the height of the prism is 12 centimeters
Write each absolute value in a box to show the order from least to greatest.
Answer:
From least to greatest: -12 -8 -2 5 11
Step-by-step explanation:
Please mark brainliest have a good day and i hope i helped :)
Answer:
(11)=(3)-(1)+(6)=6
Step-by-step explanation:
Find the 7th term in the
sequence
-4,-8, -16,...
P
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)
Answer:
-1,024
Step-by-step explanation:
4×2=8
8×2=16
and so on repeating 7 times
IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT
Answer:
- 6
Step-by-step explanation:
Given the integers : 12,-6,8,-5,7,-4,3
To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.
Ordered value in ascendibg order :
-6, -5, -4, 3, 7, 8, 12
The value which will. Fall. On the extreme left is : - 6
Factor the expression 9x^2 - 30x + 25 I need help
Answer:
(3x - 5)²
Step-by-step explanation:
When we expand (3x - 5)², we get:
(3x - 5) (3x - 5)
When we multiply, we get:
9x² - 30x + 25
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:(3x-5)(3x-5)
Step-by-step explanation: it's the answer for
Find B
Plzz find the right answer and don’t just guess
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
B^2 + 8^2 = 15^2
B^2 + 64 + 225
B^2 = 225 - 64
B^2 = 161
B = [tex]\sqrt{161}[/tex] OR 12.7
can somebody help please
Answer:
B: 12 + 2y
Step-by-step explanation:
9 + y + y + 3
You can rearrange this expression to show:
(9 + 3) + (y + y)
To solve, you add all the like parts together.
(12) + (2y)
12 + 2y
Need help on number 3 please!!
Answer:
f(x) - g(x) = x - 3
Step-by-step explanation:
f(x) - g(x) starting with the basic equation
2x - (x + 3) implementing the values into equation
x - 3 subtracting x and 3 from 2x making 2x into 1x (or just x) and making a negative 3