The value of x will be equal to 5 / 12 for the given equation.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
From the given data we will form an equation
Ayshab walked x miles at 4 mph. She then walked 2x miles at 3 mph. The second part of the journey took 25 minutes longer than the first part of the journey
2x/3 = x/4 + 5/12
2x/ 3 = 3x/12 + 5/12
2x/3 = 3x + 5/2
24x = 9x + 5
15x = 15
X = 1
25 minutes/60 = 5/12
Therefore the value of x will be equal to 5 / 12 for the given equation.
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Every month, Tara writes a cheque for $25 to pay off part of a loan. She has enough in her current account to pay no more than $450 towards the loan. Write and solve an inequality to find how many months can Tara send payments for the loan
The number of months that tara can send her payments for the Loan is; 18 months
How to find the time period of a Loan?
We are told that;
Tara has to pay $25 each month to pay the loan.
She has $ 450 in her account to pay the loan.
For us to find the number of months she can pay the loan, we will apply the unitary method as;
$25 she can pay in 1 month
The number of months to pay $1 is; 1/25 months
The number of months to pay $450 is; (1/25) * 450 = 18 months.
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Solve in simplest radical form
45+90+unknown=180
135+u=180
u=45
so that,
x=15
Answer:
Step-by-step explanation:
The ratio of sides of 45 - 45 -90 triangle is
1 : 1 : √2
This is an isosceles triangle. So, the sides opposite to equal angles (45°) are equal.
∵ x = 15
Write an expression for the sequence of operations described below.
add z to 7, then subtract y from the result
Answer:
(7+z) - y
Step-by-step explanation:
what is the answer to this question cuz I'm stuck
Can anyone solve these with work attached
(just take a picture of work it would be highly appreciated)
Answer:
Step-by-step explanation:
Answers in the order as shown
34
20
8
55
29
28
50
61
4
60
The length of a rectangle is 10 m greater than the width, and the area is 600 sq. m. Find the dimensions
Step-by-step explanation:
l = length
w = width
l = w + 10
l×w = 600 m²
now, using the identity of the first equation in the second equation
(w + 10)×w = 600
w² + 10w = 600
w² + 10w - 600 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = 10
c = -600
w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =
= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =
= (-10 ± 50)/2 = -5 ± 25
w1 = -5 + 25 = 20 m
w2 = -5 - 25 = -30
the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.
l = w + 10 = 20 + 10 = 30 m
the length is 30 m.
the width is 20 m.
I will give brainliest fast please I will give points please explain well
If the equal is 55x + 35y = 200
x: time-driven at 55 miles/hour
y: time-driven at 35 miles/hour
If the car spends 2.5 hours at 35 miles per hour, then it drove:
55x + 35(2.5) = 200
55x =35
y = 112.5
There the drive spent about 2.5-hour driving at 55 mph.
Hope it helps!
1 inch = 2.54 cm
=
How many cm. are in 1/4 in.?
Answer:
0.635 in
Step-by-step explanation:
Divided 2.54 by 4
Can someone help me please??
The circumference of a circle is its perimeter.
We can solve for the circumference using the following formula:
[tex]C=2\pi r[/tex] where r is the radius of the circleSolving the QuestionPart AWe're given:
The radius of the circle is 14 cmPlug the given information into the formula for circumference:
[tex]C=2\pi r\\C=2\pi (14)\\C=28\pi[/tex]
Therefore, the circumference of the circle is 28π cm.
Part BReplace π with [tex]\dfrac{22}{7}[/tex]:
[tex]C=28\pi\\\\C=28*\dfrac{22}{7}\\\\C=4*22\\C=88[/tex]
Therefore, the circumference of the circle with [tex]\pi=\dfrac{22}7}[/tex] is 88 cm.
Mary has 12 marbles 3/12 of the marbles are yellow 2/12 of the Marvels are blue The rest of the marbles are green How many marbles are green Explain how you know
Answer: 7 marbles are green.
Step-by-step explanation:
Since we have 12 marbles in total, 12/12 = 1. Since the fractions have denominators of 12 as well, we can easily tell there are 3 yellow marbles (3/12) and there are 2 blue marbles (2/12).
Lastly, we need to find how many are green. We can subtract the yellow and blue marbles from the total of 12 marbles.
12 - (3 + 2)
12 - (5)
7 marbles are green.
Answer:
Seven marbles are green.
Step-by-step explanation:
you have a total of 12 marbles.
12-3 (yellow) = 9
9-2 (blue) = 7
3 (yellow) + 2 (blue) = 5
12 (total) - 5 (yellow and blue) = 7
Find the surface area of this triangular prism.
Answer:
960m²
Step-by-step explanation:
½(12)(8)
=48
48×20
=960m²
Three students made videos for their art project. The table shows the length of each video. How much longer is video 1 than video 3?
Answer:
ok
Step-by-step explanation:
does it come with the picture??
Given that sin(X+20°)=cos(2x+25°) find the value of X and hence find the value of tan x
Answer:
x=15° this is the answer
How many times do 18 go into 70?
⇒ Answer
⇒ Answer
⇒ Answer
⇒ Answer
⇒Answer
Answer:
3 (if it has to be a whole number)
Step-by-step explanation:
70/18 is approximately 3.89
A swimming pool is in the shape of a rectangular prism. The pool is 4 feet deep. Its length is 4 times its width. The volume of the pool is 6400 cubic feet. Find the length and width of the pool.
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Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFraction 4 Over 33 EndFraction StartFraction 33 Over 4 EndFraction.
The considered decimal number is expressed by the fraction given by: Option C: 4/33
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
For example:
[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]
(10 raised to power k = 1 followed by k zeroes)
What is the sum of an infinite geometric series?The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1
is given by
[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]
The series would look like [tex]a+ ar+ ar^2+\cdots[/tex]
For the considered case, the given decimal number is
[tex]0.\overline{12} = 0.121212\cdots[/tex]
We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.
[tex]0.12121... = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )[/tex]
Each of the two series obtained are geometric series with the multiplication factor as 1/100
Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
[tex]0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212... = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}[/tex]
Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33
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Answer:
4/33
Step-by-step explanation:
Option C
Half of the class scored above 78% and half of the class
scored below 78% on the Science test." Therefore, 78% is the....
Answer:
Median
Step-by-step explanation:
Answer:
78% is the median
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers
Are both a function or not ?
Would these look the same or different graphed ?
What is the domain and range?
Answer:
Here
Step-by-step explanation:
Domain : (-∞,∞)
Range : (-∞,∞)
Both functions generally are the same and yes both are functions.
One is the data set of a function and one is the equation...
Sorry if this isn't what you were looking for...
The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?
Answer:
5 ham sandwiches
Step-by-step explanation:
To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.
1 ham sandwich, 7 turkey sandwiches = 8 sandwiches2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches5 ham sandwiches, 11 turkey sandwiches = 16 sandwichesWhile this method isn't always very efficient, it worked pretty well for this case!
Therefore, the answer is 5 ham sandwiches.
Answer:
5
Step-by-step explanation:
11 and 5 have a 6 number gap between them 5 plus 11 gets you 16
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?
Answer:
6 weeks
Step-by-step explanation:
Total savings= $325
For every week, his total savings decrease by $28.
Let's form an expression for the amount of money left in his account after w weeks.
325 -28w= 157
28w= 325 -157
28w= 168
Divide by 28 on both sides:
w= 168 ÷28
w= 6
Thus, there are 6 weeks until he has $157.
Trish is going to camp for 50 days on 15 July 2022. Calculate the date when he will return from camp
Answer:
Trish is going to return from camp September 3rd, 2022.
Step-by-step explanation:
Okay! note: (There are 31 days in july)
July 15th+10 days=July 25th
July 25+6=July 31st
July 31st+1 day= August 1st
(17 days done so far)
August 1st+30 days=August 31st
(47 days done)
August 31st+1 day=September 1st
September 1st+2 days= September 3rd
I got the answer by breaking up the 50 days into smaller parts and adding them. Make sure you know how many days are in the months so you don't get too confused.
Please help... need steps
[tex]log16^{n} =log\frac{1}{64}[/tex]
Answer:
x = -3/2
Step-by-step explanation:
1. Cancel out log from both sides -> 16^n = 1/64
2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)
log16(1/64) = -3/2
Find the slope-intercept equation of the line that passes through (5, -5) and has a slope of 3.
Answer: y=-3x+20
Step-by-step explanation:
Your parents have been saving for your college tuition since you were born. If you need $38,000 for your first year of college, how much should they have put into an account paying 4.25% interest compounded annually?
Answer: The final balance is $81,551.47.
The total compound interest is $43,551.47.
I hope this helps<3
Help thanks 10 points <3
Answer:
Step-by-step explanation:there are 3 reds each so maybe try multipling those into the 12 for the red..it would look like this 6x12=72
and the do the same with the blue 4x6=24
Then we’ll try and add it together 72+24=96
Which features of figure JKLM remain the same after any rigid transformation? I-ready
Answer: size and shape
Step-by-step explanation:i got it right on the quiz
The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.
What is a Rigid Transformation?A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.
The shape and size of a fugure are preserved after a rigid transformation.
Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.
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WHat is this how do i do this
What is the missing number in this pattern?
1,1….3,5,8,13,21
Answer:
34
Step-by-step explanation:
I have done this before
what is the Lcm of 5 and 20
Answer:
♦LCM of 5 and 20 is 20.
Explanation:#Let's Study
#I Hope It's Help
#Keep On Learning
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The hexagonal prism below has a base area of 25 units? and a height of 13 units. Find
its volume.
The volume of the hexagonal prism is the amount of space in the prism
The volume of the hexagonal prism is 325 cubic units
How to determine the volume?The given parameters are:
Base area = 25 square units
Height = 13 units
The volume is then calculated as:
Volume = Base area * Height
So, we have:
Volume = 25 * 13
Evaluate the product
Volume = 325
Hence, the volume of the hexagonal prism is 325 cubic units
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Answer:
Step-by-step explanation:
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