Answer:
The old tower has 150 steps
Step-by-step explanation:
Let the number of steps in the old tower be m
Mathematically, time = distance/speed
In this case, the distance is the number of steps while the speed is the rate of climbing or descending
For climbing, time spent = m/3
For descending time spent = m/2
Since it took her 25 longer when descending;
This means that;
m/2 - m/3 = 25
(3m-2m)/6 = 25
m/6 = 25
m = 6 * 25
m = 150 steps
Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia’s to John's is 1: 3 and that of John’s to Peter’s is 4: 5.
What is the investment ratio of Sylvia : John : Peter ?
Answer:
The ratio is 4:12:15.
Step-by-step explanation:
we need to make the first ratio (Sylvia's to John's) comparable to second one (John's to Peter's). Since John is in both ratios, we use his number to make it the same. 3 and 4 can both be multiplied into 12. So, multiply the first ratio by 4 and the second by 3.
[tex](1:3) * 4 = 4:12\\(4:5) * 3 = 12:15[/tex]
Put it together, and you get 4:12:15.
Hope it helps :P
The proportional relationship between the cost and duration of a phone call is shown in the following
Which statement about the graph are true
Answer:
None of the above
Step-by-step explanation:
the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.
Hope this helps!
You made two deposits to your bank account this month. One deposit was $24.61 and the second deposit was $16.49. Your balance at the end of the month is $73.31 and you made no withdraws. Write and evaluate an expressions for your balance at the beginning of the month subject:(subtracting rational numbers)
Answer:
Let's denote your original balance (at the beginning of the month) is x.
After depositing twice (24.61$ and 16.49$), you got 73.31$ as the amount of total money in your account.
=> x + 24.61 + 16.49 = 73.31
=> x = 73.31 - 24.61 - 15.49
=> x = 33.21$
WILL GET BRAINLISET AND EXTRA POINTS Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Step-by-step explanation:
The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units
Answer:
[tex]\frac{x^2}{2}[/tex] square units [one-half x squared square units]
Step-by-step explanation:
As shown in the diagram attached to this response,
Since a square has all sides equal, let the sides of the square be each of a units.
The area, A, of the square = a x a = a²
i.e
A = a² --------------(i)
Now,
The diagonal is x units such that applying Pythagoras rule gives;
x² = a² + a²
x² = 2a²
a² = [tex]\frac{x^2}{2}[/tex] ----------------(ii)
Substitute the value of a² in equation (ii) into equation (i) to get;
A = [tex]\frac{x^2}{2}[/tex]
Therefore, the area of the square is [tex]\frac{x^2}{2}[/tex] square units
Answer:
1/2x^2 square units
Step-by-step explanation:
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.
Answer:
[tex]y = 250x + 4000[/tex]
[tex]y = 400x + 400[/tex]
The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.
The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.
Step-by-step explanation:
The general slope-intercept form is given by
[tex]y = mx + b[/tex]
First option leasing:
The given equation is
[tex]250x - y + 4000 = 0[/tex]
We need to convert this equation into the slope-intercept form.
[tex]y = 250x + 4000[/tex]
where x represents the number of months of ownership and y represents the total amount paid for the car after ‘x' months.
The slope of the equation is 250 which represents the rate at which the value of y is increasing with respect to x.
When x = 0 then y = 4000 which represents the initial payment.
Second option financing:
We are given two points,
[tex](x_1, y_1) = (0,400)[/tex]
[tex](x_2, y_2) = (10,4400)[/tex]
The slope of the equation(m) is given by
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{4400 - 400}{10 - 0} \\\\m = \frac{4000}{10} \\\\m = 400[/tex]
To find the value of the y-intercept (b), substitute any of the given point into the slope intercept equation
[tex]y = mx + b \\\\y = 400x + b \\\\400 = 400(0) + b \\\\b = 400[/tex]
So the equation of the second option is
[tex]y = 400x + 400[/tex]
The slope of the equation is 400 which represents the rate at which the value of y is increasing with respect to x.
When x = 0 then y = 400 which represents the initial payment.
Comparison in terms of slope:
The slope of first option leasing = 250
The slope of second option financing = 400
The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.
Comparison in terms of y-intercept:
The y-intercept of first option leasing = 4000
The y-intercept of second option financing = 400
The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism? 3 4 4 5
Answer: 3.5
Step-by-step explanation:
Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.
Scale factor = [tex]\dfrac{\text{Size of image}}{\text{Size of original figure}}[/tex]
Since, smaller figure is the original figure and the bigger one is the image.
So, scale factor = [tex]\dfrac{14.7}{4.2}=3.5[/tex] [Taking lengths
Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5
Answer:
A
Step-by-step explanation:
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. How many packets would be needed to transmit 30,000 bytes of information?
Answer:
45,000,000 information could be transmitted in 30,000 packets
Explaination:
b=1500p
p= 30,000
so,
b= 1500 x 30000 = 45,000,000
A letter that is used in place of the unknowable value is called a variable.
If 20 packets exists required to transmit 30,000 bytes of information.
What is meant by equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated proposition that has been mathematically quantified.
A numerical statement with a variable in place of an unknown value is called an equation. A letter that is used in place of the unknowable value is called a variable.
Each packet has 1500 bytes of information
The amount of packets needed for 1 byte = 1/1500
Given:
number of bytes = 30,000
number of packets needed = 30000/1500 = 20
Therefore, 20 packets exists needed to transmit 30,000 bytes of information.
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7. A football field is a rectangle 48 m wide and 91 m long. The coach asks players to run
diagonally across the field. How far did the players run? Draw a diagram and show your work.
Round your answer to the nearest tenth. (2 marks)
answer please please
Answer:
102.88m
Step-by-step explanation:
draw a rectangle and draw a diagonal line from each corner down. You will get 2 right triangles. The height is 91 and the base is 48
[tex]\sqrt{91^2+48^2}= 102..88[/tex]
Evaluate the following expression (-3)^-2
It is approximately equal to 0.1111
=================================
To get this answer, we use the rule
[tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent tells us to apply the reciprocal to get the exponent to be positive.
So,
[tex](-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}[/tex]
Squaring -3 means you square the negative as well
[tex](-3)^2 = (-3)*(-3) = 9[/tex]
Answer:
1/9
Step-by-step explanation:
(-3)^-2 would be better written as (-3)^(-2).
1
(-3)^(-2) would be easier to evaluate if written as -------------
(-3)^2
The final answer is 1/9.
Determine which is NOT an arithmetic sequence
2.4.8.16
O -7,0.7.14
O 0..5.1.1.5
O 10.6.2.-2
Answer:
1st option
2,4,8,16
Step-by-step explanation:
1st option is not an Arithmetic sequence, it is geometric sequence. Because, the common ratio is 2
the 2nd option has a common difference of 7, so it is arithmetic
the 3rd option has a common difference of 0.5, so it is arithmetic
and 4th option has a common difference of -4. so it is arithmetic
Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 Which terms could be in the boxes to make the expressions equivalent? Positive 6 x squared and Negative 6 y squared Positive 6 x squared and Negative 10 y squared Positive 9 x squared and Negative 10 y squared Positive 9 x squared and Negative 6 y squared
Answer:
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
Step-by-step explanation:
We are given the term:
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]
We have to fill in to the empty spaces such that the above equation gets satisfied.
First of all, let us simplify the LHS (Left Hand Side):
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]
Now, let us equate the LHS and RHS (Right Hand Side):
[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]
Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:
One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]
Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
So, if we fill the boxes with above values, the expression will be simplified as given.
Answer:
The correct answer is B. Positive 6 x squared and Negative 10 y squared
Step-by-step explanation:
3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation:
Answer:
The answer is given below
Step-by-step explanation:
The equation of a quadratic function is given by:
ax² + bx + c where a, b and c are the coefficients of the quadratic equation. The value of a determines whether the graph opens up or down (if a is positive opens up and if a is negative opes down), the value of c determines the y intercept (if c is positive, we have a positive intercept and if c is negative the intercept is negative).
The chosen equation is -x² -4x + 5. Since it has y-intercept of 5 and opens down (coefficient of x² is -1)
Let us assume a vertical stretch of 4, the new equation becomes:
4(-x² -4x + 5)
-4x² - 16x + 20
-4x² - 16x + 20 = 0
a = -4, b = -16 and c = 20
Using the quadratic formula:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-16) \pm \sqrt{(-16)^2-4(-4)(20)} }{2(-4)}=\frac{16 \pm 24}{-8} \\x= -5 \ or \ x=1[/tex]
n is an integer.
Write the values of n such that -15 < 3 < 6
Answer:
Step-by-step explanation:
n could be : -14, -13, -12... -1, 0 , 1, 2, 3 ,4,5
Can you please help me -3x-y=6
Answer:
(0,-6), (-2,0)
Step-by-step explanation:
-3x-y=6
-y=6+3x
y=-3x-6
when x=0, y=-6
when y=0 x=-2
Graph each of the following lines without using a table of values a. y = 2⁄3x - 5 b. 6x - 2y + 5 = 0
[tex]\text{Graph the lines:}\\\\a. \,\,y = 2/3x - 5\\\\\text{For this equation, we are given our beginning point and slope}\\\\\text{The beginning point is -5, so you would put a point at -5 on the y-axis}\\\\\text{Since the slope is 2/3, we would use the rise/run method}\\\\\text{In this case, starting from -5 on the y-axis, you would go up 2 and to the}\\\text{right 3, then place your point where you ended up.}\\\\\text{Keep using the rise/run method to create the rest of the points}\\\\[/tex]
[tex]b.\,\, 6x - 2y + 5 = 0\\\\\text{Turn the equation into slope form:}\\\\ 6x - 2y + 5 = 0\\\\-2y=-6x-5\\\\y=3x+5/2\\\\\text{The beginning point is at 5/2, or 2.5}\\\\\text{Place the point at 2.5 on the y-axis}\\\\[/tex]
[tex]\text{We know the slope is 3, so use the rise/run method. In this case, you}\\\text{will go up 3 and 1. Continue this process}[/tex]
[tex]\text{I hope this helps, have a good day.}[/tex]
I promise I will mark as brainiest my watch was correct at noon, after which it started to lose 17 minutes per hour until 6 hours ago it stopped completely. It now shows the time as 2.52pm what time is it now ?
Answer:
10:00 PmStep-by-step explanation:
Take 17 away from 1:00 = 12:43
Take 17 away from 1:43 = 1:26
Take 17 away from 2:26 = 2:09
Take 17 away from 3:09 = 2:52
There we are: at the time which the watch says now.
Now let's see what the correct time should be:
at 12:43 it is really 1:00
at 1:26 it is really 2:00
at 2:09 it is really 3:00
at 2:52 it is really 4:00
However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.
I'm always happy to help :)Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
Area of shaded part = 41.09733550
Perimeter of shaded part = 35.82011867
Step-by-step explanation:
Area of shaded part = ((πr^2) 4) - (bh ÷ 2)
Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)
Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)
Area of shaded part = (113.0973355) - (72)
Area of shaded part = 41.09733550
Perimeter of shadedpart:
AC = √a^2 + b^2
AC = √12^2 + 12^2
AC = √144 + 144
AC = √288
AC = 16.97056275
Perimeter of whole circle ÷ 4:
C=2πr
C=2π(12)
C=75.39822369
C ÷ 4 = 75.39822369 ÷ 4
C ÷ 4 = 18.84955592
Perimeter of shaded part:
18.84955592 + 16.97056275 = 35.82011867
jane will run less than 32 miles this week. So far she has run 19 miles. what are the possible numbers of additional miles she will run ?use t for the number of additional miles she will run.
Answer:
Jane will run more than 30 miles this week, as thus far she ran 22.
Step-by-step explanation:
X + 22>30
X>8
She runs more than 8 miles.
Answer:
Well, it depends.
Step-by-step explanation:
In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.
There are number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.
So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31
Brainiest answer will be selected if it is a reasonable and (correct answer) please i need it now ty brainly users :P
What is the weight (in grams) of a liquid that exactly fills a 465 milliliter container if the density of the liquid is 0.982grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Answer: 456.63 grams
Step-by-step explanation:
First, we know that we have 465 mL of a liquid. Secondly, we know each mL of the liquid = 0.982 grams. Thus, we can simply multiply 465*0.982 to get 456.63.
Hope it helps <3
The weight in grams of the liquid in a container is required.
The weight in grams of the liquid in the container is 456.63 grams.
Densitym = Mass of liquid in container
V = Volume of liquid in container = 465 milliliter
[tex]\rho[/tex] = Density of liquid in container = 0.982 grams over milliliter
The relationship between mass, density and volume is given by
[tex]m=\rho V\\\Rightarrow m=0.982\times 465\\\Rightarrow m=456.63\ \text{grams}[/tex]
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The area of a circle is 81pi in.squared. What is the circumference, in inches? Express your answer in terms of pi
Answer:
18π
Step-by-step explanation:
the area of a circle is :
A= r²*π where r is the radius
here r² =81⇒ r= 9
the circumference of a circle is :
P= 2*r*π
P= 18π
Answer:
18 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
81 pi = pi r^2
Divide by pi
81 = r^2
Take the square root of each side
sqrt(81) = sqrt (r^2)
9 = r
We want the circumference
C = 2 * pi * r
C = 2 * pi * 9
C = 18 pi
How do I get full marks. Please help ASAP
Answer:
So for the table , .3 + .1 + .25 + .35= 1.
and 10 green pins. read my explanation please cause i worked a lot on this.
Step-by-step explanation:
So first we add the probability of purple and gray getting picked.
.35 + .25= .6
And we know that the probability of green is 3 times yellow.
So. yellow can be x. and the equation would look like this.
3x + x +.6= 1
x equals .1, because 3x + x or 3(.1) + .1= .4
So, .3 + .1 + .25 + .35= 1.
This should be enough info to complete the table. Now b.)
So we know 14 purple pins... and the probability of that is .35
so if 14 = .35 what equals .25?
(I'm going to convert these decimals into percents for problem b until we get the answer, and then i'll make it back to a decimal form)
Okay, so
14= 35%
and that means .4 equals 1% or .01 probability
so now we times .4 to 25% to find out how many green pins are there.
.4 * 25= 10
So there are 10 green pins.
please helpppppp please help please hellpppp
what is the range of the function f(x)= -(x+3)^2+7
Answer:
thats the answer to rhjs problem
The local store where Tim shops charges a 7% sales tax for clothing. Complete the table by figuring the cost of the jeans after sales tax is applied. The first row has been done for you.
Answer:
[tex]A=P+P\times S\%[/tex]
Step-by-step explanation:
For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.
Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.
The formula of final amount is:
[tex]A=P+P\times S\%[/tex]
Here,
A = final amount
P = original cost price
S = sales tax percentage
Answer:
1.$25.68
2.$51.36
3. 77.04
Step-by-step explanation:
I just took the test.
Which of these shapes is congruent to the given shape?
A.
B.
C.
D.
E.
Answer:
C
Step-by-step explanation:
Most of the times C is the answer on a test
Answer:
its D
Step-by-step explanation:
brainly tests
How many complex and real roots are in the problem (x+10)^9.
Answer:
9 roots
Step-by-step explanation:
(x+10)^9 = 0
If you would multiply it out, the highest power is x^9 so the equation has 9 roots
Solving (x+10)^9 =0
Taking the 9th root of each sdie
x+10 = 0
x = -10
The root is -10 with multiplicity of 9
These dot plots show the ages (in years) for a sample of two types
of fish.
Sharks
oooo
ooo
ooo
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Koi
Oooo
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Age (in years)
Complete Question:
These dot plots show the ages (in years) for a sample of two types of fish.
(Check attachment for the dot plots)
What are the differences between the centers and the spreads of these distributions?
Select two choices: one for the centers and one for the spreads.
A. Centers: The sharks have a lower median age than the koi
B. Spreads: The ages of the koi are more spread out.
C. Centers: The sharks have a greater median age than the koi.
D. Spreads: The ages of the sharks are more spread out
Answer:
A. Centers: The sharks have a lower median age than the koi
B. Spreads: The ages of the koi are more spread out.
Step-by-step Explanation:
Centers of a given data set can be defined by the median of the data set. Also, for spreads, we can virtually ascertain how spread the data are on the dot plot or figure out how large the range value is.
==>Centers of both distributions.
*The median of the data distribution for sharks is between the 7th and 8th dot representing the values of 20. The median is the average of the 7th and 8th value = (20+20) ÷ 2 = 20
*The median value of koi is the 14th value represented by the 14th dot on the dot plot = 40
Therefore, for centers, we can conclude that the sharks have a lower median age than the koi.
==>Spreads of both distributions:
Virtually examining both distributions, we would see that the data points represented by dots on the dot plot for koi are more spread out compared to those of sharks.
The range for sharks = 30 - 10 = 20
The range for koi = 70 - 25 = 45
We can conclude that, the ages of the koi are more spread out.
The sum of the digits of a two-digit number is 7 .When the digits are interchanged the reversed number is five times the tens digit of the original number find the original number .
frnds pls help me
I want answer with full process pls help me
pls frnds do it fast pls help me
Answer:
Original number is 52.
Step-by-step explanation:
1) Two digit number xy,
it can be written as 10x + y.
2) The sum of the digits of a two-digit number is 7.
x + y = 7
3) The digits are interchanged the reversed number is yx,
the new number can be written as 10y + x.
4) The original number is 10x + y, so the tens digit of the original number is x.
5) Five times the tens digit of the original number is 5*x.
6) The reversed number is five times the tens digit of the original number:
10y + x = 5*x
7) We have system of two equations
x + y = 7 ----> x = 7 - y
10y + x = 5*x ---> 10y - 4x = 0
10y - 4x = 0
10y - 4(7 - y) =0
10y - 28 + 4y = 0
14y = 28
y = 2
x = 7 - y = 7 - 2 = 5
x = 5
Original number is 52.
New number 25.
Check:
Original number is 52, the tens digit is 5.
The reversed number (25) is five times the tens digit of the original number find the original number .
25 = 5*5 True
Translate the following into an expression m% of n
Answer:
mn/100
Step-by-step explanation:
m% of n = m/100×n
= mn/100