Answer:
x = 16
Step-by-step explanation:
The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.
Thus, ∆ABC ~ ∆EFG. Therefore:
[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]
AB = 12 + 3 = 15
EF = 12
AC = x + 4
EG = x
Plug in the values into the equation
[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]
Cross multiply
[tex] (15)(x) = (x + 4)(12) [/tex]
[tex] 15x = 12x + 48 [/tex]
Subtract 12x from each side
[tex] 15x - 12x = 48 [/tex]
[tex] 3x = 48 [/tex]
[tex] x = \frac{48}{3} [/tex]
[tex] x = 16 [/tex]
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.
Answer:
t≤4
Step-by-step explanation:
58.40≥36+5.60t
Solve like any equation
58.40≥36+5.60t subtract 36 from both sides
22.40≥5.60t divide by 5.60
t≤4
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answer:
6%
Step-by-step explanation:
I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.
Answer:
6%
Step-by-step explanation:
108 x%
------- = --------
225 100%
BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?
Answer:
1. The speed of the truck, S = D/T.
2. The formula that connects D and T is: S = D/T.
3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.
Step-by-step explanation:
a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance. This implies that speed is a function of distance and time. However, this formula represents the mean speed. There are variations in speed.
b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.
situation: the ratio of my friends that like basketball to the ratio of my friends that don’t like basketball is 41:30. This means that 41 out of my 71 friends like basketball. 57.74% of my friends like basketball and 42.26% of my class doesn’t like basketball.
question: if the ratio stayed constant for the whole school, what would your equivalent ratio be with a new total of 310 total people?
Answer:
17.9:13
Step-by-step explanation:
I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.
The number of students who like basketball:
310 x 0.05774 = 17.9
The number of students who don't like basketball:
310 x 0.04726 = 13
Hope this helps! :)
Answer:
17.9:13
Step-by-step explanation:
This is the answer
Can someone please do this?
The ratio of books to magazines at Jessica’s house is 5:3. If there are 21 magazines at Jessica’s house, how many books are there?
Answer:
There are 35 books
Step-by-step explanation:
I hope this HELP! :)
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 13 days. About what percentage of births would be expected to occur more than 39 days after the mean pregnancy length?
Answer:
just getting points i hope u find the answer tho
Step-by-step explanation:
convert 6 2/5 to a percent?
A) 6.4%
B) 64%
C) 640%
D) 6,400%
Answer:
C) 640%
Step-by-step explanation:
6 2/5
Convert it to an improper fraction -
6 2/5 = 32/5
Convert the improper fraction to a decimal -
32/5 = 6.4
Multiply 6.4 by 100
= 640%
Hope this helps :)
Answer: Oooohhhh, I knew the answer the answer is 640%.
Step-by-step explanation: So start by separating the parts: [tex]6+\frac{2}{5}[/tex],
Then I know that [tex]\frac{2}{5} = 2/5[/tex],
∴ [tex]6\frac{2}{5} = 6+(2/5)[/tex],
Then I use The Long Division for 2 divided by 5, so I have [tex]6+0.4=6.4[/tex],
And last but not least is onverting our number to a percentage: [tex]6.4*10=640%[/tex] (Rounded to a Max of 2 Decimal Places.), so I hope this formula could be helpful, but if you have struggle to convert the mixed number fraction to percentage, please ask me, okay? :)
The number 1.255 is an example of a terminating or repeating
decimal number?
Answer:
Terminating
Step-by-step explanation:
Since the number ends exactly after 3 decimal places, it is a terminating decimal number.
On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.
So, the number 1.255 is terminating.
Aye please help! It is a late assignment I missed math class so please helppp!
Answer:
$3
Step-by-step explanation:
When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.
11.87 ≈ 12
Amount each friend will pay ≈ 12÷4
= 3
Express the following to percentage into fractions.
Answer:
65.2/100
Step-by-step explanation:
1/5 = 0,2
then:
65 1/5 = 65 + 0.2 = 65.2
65.2/100
Step-by-step explanation:
[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]
it comes to 325
By visual inspection, determine the best-fitting regression model for the data plot below.
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches
The equation of the regression line model for the data plot determines a quadratic equation
What is linear regression line?The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.
A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.
Given data ,
Let the linear regression line be represented as A
Now , the value of A is
Let the first coordinate on the graph be P ( 1 , 5.5 )
Let the second coordinate on the graph be Q ( 2 , 6 )
And , the data plots on the graph represents a curve or parabolic equation
So , it is a quadratic equation
Hence , the data plot of the regression line is quadratic
To learn more about regression lines click :
https://brainly.com/question/29753986
#SPJ7
Evaluate -(7^-3)(7^5)
Answer:
Step-by-step explanation:
Answer:
-49
Step-by-step explanation:
it is really hard to type using this keyboard..but am sure d answer is -49
HELP PLEASE
Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given
Answer:
The 1st the 3rd and 4th are the answers
Step-by-step explanation:
Edgen
In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.
Answer:
12 measures
Step-by-step explanation:
Step 1:
64 : 8 Ratio
Step 2:
64 : 8 = 96 : x Equation
Step 3:
64x = 768 Multiply
Step 4:
x = 768 ÷ 64 Divide
Answer:
x = 12
Hope This Helps :)
Write each decimal as a percent: 2.65
Answer:
0.0265
Step-by-step explanation:
Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.
Answer:
22%
Step-by-step explanation:
Given that:
Number of hours at work daily = 8 hours
Number of days at work per year = 240
Total number of hours at work per year = Number of hours at work daily [tex]\times[/tex] Number of days at work per year
Total number of hours at work per year = 8 [tex]\times[/tex] 240 = 1920 hours
Total number of days in an year = 365
Total number of hours per day = 24
Total number of hours in an year = 24 [tex]\times[/tex] 365 = 8760
Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.
Therefore, the required probability is:
[tex]\dfrac{1920}{8760} \approx \bold{0.2191}[/tex]
Therefore the probability to the nearest percent is: 22%
how do you solve this?
Answer:
i have no idea.....
Step-by-step explanation:
Answer:
sin(5x)
Step-by-step explanation:
Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:
[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]
therefore, in our case:
[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]
so, make sure you type the expression : "sin(5x)" in the provided text-box.
What's the axis of symmetry of y = 3x2 - 6x + 4
Answer: The axis of symmetry = 1
That's a vertical line passing through 1 on the x-axis
Step-by-step explanation: From standard form, ax² + bx + c
Use the values of a and b in the equation x = -b/2a to find s, the axis of symmetry.
x = -(-6)/2(3)
x = 6/6
x = 1
The required axis of the symmetry of the given parabola is x = 1.
Given that,
To determine the axis of symmetry of y = 3x² - 6x + 4.
A parabola is a cross-section cut out of the cone and represented by an equation.
Here,
The axis of symmetry of a parabola is given by -b/2a
Now. from the given parabolic equation y = 3x² - 6x + 4. we have a = 3 and b = 6.
Substitute the value in the symmetry equation
Axis of symmetry, x = -(-6)/2(2)
x = 1
Thus, the required axis of the symmetry of the given parabola is x = 1.
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020
Yvonne paid $18.72 for 8 gallons of gas.
She then passed by another gas station
advertising it for $2.29 per gallon. How much
money would she have saved if she had
waited and purchased it at the other location?
calculeaza aria unu paralelogram cu latura 3 radical 2 cm si inaltimea 2cm
Answer:
Aria unui paralelogram [tex]=6\sqrt{2}[/tex]
Step-by-step explanation:
Folosind formula:
Aria unui paralelogram = (baza x înălțimea)
= (3√2 x 2)
[tex]=6\sqrt{2}[/tex]
Aria unui paralelogram [tex]=6\sqrt{2}[/tex]
Answer:
6 radical din 2
Step-by-step explanation:
aria paralelogram=b. h =3 rad 2 . 2=6 radical din 2 cm partati
Select all that apply.
A graph shows _____ in picture form.
variables
facts
color
statistics
sums
data
Note: There is not just one answer
what is the slope of the line in the graph below
Answer:
-2
Step-by-step explanation:
The slope of the line is where the -2 is. The line passes through it.
7 identical taps can fill 3 identical tanks in 45 min. How long it will take 5 of the taps to fill one of the tanks?
Answer:
21 minutes
Step-by-step explanation:
Given that:
7 identical taps fill 3 identical tanks in 45 minutes
Since the taps and tanks are identical :
Hence, the 7 taps can fill 1 tank in :
45 /3 = 15 minutes
Therefore, 1 tap will fill 1 tank in :
7 tap = 15 minutes
1 tap = (15 * 7) = 105 minutes
Hence, 5 taps will fill 1 tank in :
105 minutes / 5
= 21 minutes
find the missing lengths and leave answers as radicals in simplest form
Answer:
x=8[tex]\sqrt{3}[/tex]
y=8
Step-by-step explanation:
lmk if you need work
Y=4x +2
Y = 4x+0.5
y=-2x + 2
Y=3X-10
Answer:is this a quiz
Step-by-step explanation:
?
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answer:
112
the answer is 112 :)))))