Answer:
16
Step-by-step explanation:
6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.
To advance in a computer game, players need to open a door by choosing one number
on each of the dials. What is the probability that
the combination starts with 8?
Answer:
1/3 or 33.3333...%
Step-by-step explanation:
My understanding of this situation is that each dial represents a number in the combination. In order for the combination to start with 8, the first dial needs to land on 8. Since there are three numbers on the dial, the probability that the combination starts with 8 is 1/3. Hope I helped :)
[tex] \large \red{\frak{ Question}}[/tex]
The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000. The difference of their salaries is ₹2000. If B’s salary is less than that of A, then what is the salary of B (in ₹)?
(a) 8000 (b) 2000
(c) 6000 (d) 12,000
[tex] \pink{ \dag \: \large\sf{ With \: Explanation }}[/tex]
[tex] \blue{ \dag \: \large\sf{No Spam }}[/tex]
Answer:
[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]
Step-by-step explanation:
Let the salary or A is x and salary of B is y.
now,
Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.
writing above statement in equation form,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]
Multiplying above equation with twelve,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]
and condition two,
The difference of their salaries is ₹2000
[tex] \sf \: x - y = 2000[/tex]
Multiplying above equation with 20
[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]
On adding equation 1 and equation 2,
[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]
Substituting the value of x in,
[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]
[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]
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Find the volume will give brainlest
Raheem runs five times a week. His route is 4 1/3 miles long. How many miles does he run each week?
Answer:
21.6666666667
If you have to round it up it is 22.
Step-by-step explanation:
If he runs 5 times a week and his route is 4 1/3 then he runs that five times a week you do 5x4 1/3 and that is how you get your answer
What is the value of(-4)(-4)(-4)
Answer:
-64
Step-by-step explanation:
-4x-4x-4
what is 5/12 - 1/3 = in simplest form
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
See picture below for explanation:
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
What is the slope of the line that passes through the points (6,2) and (-18, 2)?
Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
(x,y) slope is change in y / change in x⇒ Δy/Δx
(6,2)
(-18,2)
Δy = 2-2 = 0
Δx = 6-(-18) = 24
because the y values are the same, when you subtract you a slope of 0/24 or just 0 a horizontal line (because y is always =2)
HHHHHHEEELLLLPPP MMMEEE
Given the system of linear equations:
{y= -5 y=3x -2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from Part B.
QUESTION 1
the solution is (-1,-5)
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
-y=5
y=3x-2
0=3x+3
3x=-3
x=-3/3
x=-1
Then, we use this value to find the other one
y=3x-2
y=3(-1)-2
y=-3-2
y=-5
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
x+6y=6
-6y=-2x+12
x=-2x+18
x+2x=18
x=18/3
x=6
Then, we use this value to find the other one
x+6y=6
6+6y=6
6y=6-6
y=0/6
y=6
Therefore, the solution is (6,0),
7 copper spheres with radii of 4
inches are melted and formed into a
cube. How tall is the cube?
We will see that the cube must be 10.23 inches tall.
How tall is the cube?
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
If you want to learn more about spheres, you can read:
https://brainly.com/question/10171109
1. Daniel needs to add a fence around the apartment swimming pool. The pool is 25 ft. by 20 ft., and the owner wants the fence to be 4 feet from the poolside. How many feet of fencing will Daniel need? (1) 45 (2) 90 (3) 98 (4) 106 (5) 122
Answer:
(5) 122 feet
Step-by-step explanation:
Perimeter of fencing:
[tex]2((25 + 4 + 4) + (20 + 4 + 4))[/tex]
[tex]2(33 + 28) = 2(61) = 122[/tex]
A consumer survey conducted in two consecutive years found that a fixed basket of goods and services cost $36.00 in year 1 and $36.75 in year 2 the inflation rate from year 1 to year 2 is
Answer:
2.08 %
Step-by-step explanation:
(36.75 - 36.00) / 36.00 = .0208 = 2.08 %
Which fractions are equivalent to the value of
2
10
+
20
100
? Drag and drop the fractions into the box.
Lets see
2/10+20/1002/10+2/102+2/104/102/5Answer:
thanks just needed points
Step-by-step explanation:
A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?
Answer:
1200 dollars
Step-by-step explanation:
x-0.16x=1008
.84x=1008
x=1200 dollars
Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle. A. mZ1 = 20° m2 = 20° B. m2 = 40° m2 = 140° C. ml = 82.5° mZ2 = 97.50 D. m1 = 97.5° m2 = 82.5°
Answer:
C. m<1 = 82.5 m<2 = 97.5
Step-by-step explanation:
Which series of transformations occurred to move the blue figure to the red figure? a translation and then a reflection
a reflection and then a 180-degree rotation about the origin
a 90-degree rotation counterclockwise about the origin and then a reflection
a reflection and then a reflection
Answer:
A translation and then a reflection
Step-by-step explanation:
A translation of 5 to the left, and then a a reflection across the x axis.
The product of the ages of a man and his son is 160. In four years time, the man will be four times as old as his son. Find their ages.
Answer:
father = 32 s = 5 y/o
Step-by-step explanation:
f s = 160 ====> s = 160/f
f+4 = 4 ( s+4)
f + 4 = 4 (160/f +4)
f + 4 = 640/f + 16
f^2 + 4f = 640 + 16 f
f^2 -12f - 640 = 0 Use Quadratic formula to find f = 32 then s = 5
Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
Answer:
1 and 25, 5 and 5
Step-by-step explanation:
because both 5×5=25 and 1×25=25 and 1×5=5 are all equal factor pairs of 25.
Help me asap …………..p
Answer:
1.) Tan C = [tex]\frac{12}{5}[/tex]
2.) Sin Z = [tex]\frac{24}{26}[/tex] or [tex]\frac{12}{13}[/tex] if reduced
3.) Cos A = [tex]\frac{15}{17}[/tex]
4.) Cos A = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
Let's keep in mind that;
Sin = [tex]\frac{opposite}{hypotenuse}[/tex]
Cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan = [tex]\frac{opposite}{adjacent}[/tex]
Hope this helps!
The mark up price of a pair of shoes which costs $245.00 is 5.75%. a)What is the final price? If the tax is 5 3/4 % How much will be paid for that pair of shoes?
The mark up price of the shoe would increase the final price
The final price of the shoe is $259.0875The final price of the shoe after tax is $273.98503125The final price of the shoeThe given parameters are:
Cost = $245.00Mark up price = 5.75%The final price is calculated using:
Final = Cost * (1 + Mark up)
This gives
Final = 245* (1 + 5.75%)
Evaluate
Final = 259.0875
Hence, the final price of the shoe is $259.0875
The final price of the shoe, after taxIn (a), we have:
Final = 259.0875
Given that the tax is 5 3/4%, the final price after tax would be
After tax = Final * (1 + Tax)
So, we have:
After tax = 259.0875 * (1 + 5 3/4%)
Evaluate
After tax = 273.98503125
Hence, the final price of the shoe after tax is $273.98503125
Read more about mark up at:
https://brainly.com/question/1153322
How to solve 8x+y=23
-10x-y=-27
Here,
8x + y = 23 - 10x - y = - 27
10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8
80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)
By elimination method,Equation (i) - (ii)(80x + 10y) - (-80x - 8y) = 230 - (-216)
=> 80x + 10y + 80x + 8y = 230 + 216
=> 10y + 8y = 446
=> 18y = 446
=> y = 446/18
=> y = 24.7
Putting the value of "y" in Equation (i)80x + 10y = 230
=> 80x + 10 × 24.7 = 230
=> 80x + 247 = 230
=> 80x = 230 - 247
=> 80x = -17
=> x = -17/80
=> x = - 0.21
Therefore the values of "x" and "y" arex = -0.21 and y = 24.7
Hope it helpsFind the equation of an exponential function of the form y = ab^x that passes through the points (3,13.5) and (5,30.375).
Let's see
y=ab^xCheck coordinates
13.5=ab³-(1)Find a
a=13.5/b³---(2)And
30.375=ab⁵Put value from second one
30.375=13.5b⁵/b³30.375=13.5b²b²=2.25b=1.5Put in second one
a=13.5/b³a=13.5/1.5³a=13.5÷3.375a=4So the equation is
y=4(1.5)^xAnswer:
[tex]y=4(1.5)^x[/tex]
Step-by-step explanation:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given ordered pairs:
(3, 13.5) and (5, 30.375)
As the y-values are increasing, the function is increasing, so b > 1
Input the given ordered pairs into the general form of the equation:
[tex]\implies ab^3=13.5[/tex]
[tex]\implies ab^5=30.375[/tex]
To find b, divide the second equation by the first:
[tex]\implies \dfrac{ab^5}{ab^3}=\dfrac{30.375}{13.5}[/tex]
[tex]\implies b^2=2.25[/tex]
[tex]\implies b=\pm \sqrt{2.25}[/tex]
[tex]\implies b= \pm 1.5[/tex]
As the function is increasing, b > 1:
⇒ b = 1.5 only
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies a(1.5)^3=13.5[/tex]
[tex]\implies 3.375a=13.5[/tex]
[tex]\implies a=\dfrac{13.5}{3.375}[/tex]
[tex]\implies a=4[/tex]
Therefore, the final exponential equation is:
[tex]y=4(1.5)^x[/tex]
Question 10
Graph g(x) =
Y
<
- 4(x - 2)² + 4.
10-9-8-7 -6 -5 -4 -3 -2 -1
-2
-3
-4
-5
-6
-7
-8
-9
10
Clear All Draw:
ZAV
Question Help: Video
Add Work
>
10+
9
8
7-
6
S
4
3
2
21
1 2 3 4 5 6 7 8 9 10
Answer:
2?
Step-by-step explanation:
A pet store has 150
150
goldfish and betta fish altogether.
The ratio of goldfish to betta fish is 2:3
2:3
.
How many goldfish does the pet store have?
CLEAR CHECK
What fraction of the fish are goldfish?
How many goldfish does the pet store have? goldfish
Answer:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEStep-by-step explanation:
Let the goldfish be G.
• Let the betta fish be B.
Given the following data:
• Total number of fishes = 150 fishes.
• Ratio of G to B = 2:3
• Total ratio= 2 + 3 = 5
To calculate the number of goldfish that the pet store have:
What is ratio?
Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Mathematically, the number of goldfish in the pet store is given by this expression:
2 G = x 150 5
G = 0.4 x 150
G = 60 fishes.
What type of triangle can an equilateral be?
isosceles triangle
right triangle
acute triangle
obtuse triangle
Answer:
Acute triangle
Step-by-step explanation:
PLEASE HELP QUICKLY
The graph shows the relationship between the number of female eastern bluebirds observed by a biologist and the total number of eggs laid. Complete the given equation to show the relationship between b, the number of female eastern bluebirds observed, and t, the total number of eggs laid
The equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Let we take:
b = the number of female eastern bluebirds observed
t = the total number of eggs laid
Since the relationship between b and t is forming a line, so it can be modeled by linear equation.
Here, we take 'b' as independent variable, and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:
[tex]t = mb + c[/tex]
For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.
Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.
and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5
Thus, the equation is:
[tex]t = 5b + c[/tex]
At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:
[tex]5 = 5(1) = c\\c = 5-5=0[/tex]
Thus, the relation between t and b is t = 5b + 0= 5b
Thus, the equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
Learn more about linear equations here:
https://brainly.com/question/498084
#SPJ1
Pls help I need it quickly thanks
Answer:
56n thats what ben said
Step-by-step explanation:
hohoho corent answer
ILL GIVE BRAINELST
If the area of C is
400 ft2 and the
perimeter of B is 64 ft,
what is the side length
of square A?
Answer:
A = 12 ft
Step-by-step explanation:
Perimeter ( of SQUARE) B = 64
then each side = 64/4 = 16
AREA of SQUARE C = 400
side X side = 400
then side = sqrt 400
Now use Pyhtagorean Theorem to find leg of right triangle that is
side A Side B hypotenuse Side C
A^2 + 16^2 = (sqrt 400)^2
A^2 = 400 - 256
A^2 = 144 then A = 12 Ft
Jenna surveyed her friends, asking each of them, "How many times have you been to the aquarium?" The resulting data set has a distribution that can be described several ways.
Select from the drop-down menus to correctly complete the statements about the distribution.
The distribution can be described by its shape. If there are more higher values than lower values, the distribution is skewed
Choose...
.
The distribution can be described by its center. If the distribution is skewed left or right, the
Choose...
is an accurate measure of center.
The distribution can be described by its spread. If the data set does not have an outlier, the
Choose...
is an accurate measure of spread.
In the research, the distribution is described by its shape. If there are more higher values than lower values, the distribution is skewed left.
How to illustrate the research?It should be noted that when the distribution of data is skewed to the left, the mean is less than the median.
The distribution can be described by its center. If the distribution is skewed left or right, the median is an accurate measure of center.
The distribution can be described by its spread. If the data set does not have an outlier, the interquartile range is an accurate measure of spread.
Learn more about research on:
https://brainly.com/question/25257347
Answer:
left, median, and range or the IQR
Step-by-step explanation:
I really need help like fast please
Answer: I'm pretty sure the measure is 122 degrees
Step-by-step explanation: