Answer:
1 3/5
Step-by-step explanation:
10 = 10/1
4*10=40
25*1=25
40/25
now simplify:
40/5=8
25/5=5
8/5 = 1 6/10 = 1 3/5
hope this helps
The given expression in its simplest form is [tex]1\frac{3}{5}[/tex]
From the question,
We are to write the given expression in its simplest form
The given expression is 4/25 x 10
First, we will write the expression properly.
The expression can be written as
[tex]\frac{4}{25} \times 10[/tex]
The expression can be simplified as shown below
[tex]\frac{4}{25} \times 10[/tex]
This becomes
[tex]\frac{40}{25}[/tex]
Then,
[tex]1\frac{15}{25}[/tex]
In the simplest form, we get
[tex]1\frac{3}{5}[/tex]
Hence, the given expression in its simplest form is [tex]1\frac{3}{5}[/tex]
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For what values of x is x2-36=5x true?
-9 and -4
-4 and 9
4 and -9
9 and 4
Answer: SECOND OPTION
Step-by-step explanation:
Given the following equation:
[tex]x^2-36=5x[/tex]
You can follow these steps in order to find the values of "x" that makes the equation true:
1. Subtract [tex]5x[/tex] from both sides of the equation:
[tex]x^2-36-5x=5x-5x\\\\x^2-5x-36=0[/tex]
2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:
[tex](x+4)(x-9)=0[/tex]
Then you get:
[tex]x_1=-4\\\\x_2=9[/tex]
Checking:
[tex](-4)^2-36=5(-4)\\\\-20=-20[/tex]
TRUE
[tex](9)^2-36=5(9)\\\\45=45[/tex]
TRUE
Answer:
Its B. -4 and 9
Step-by-step explanation:
Just took it and got 100%
what is 1.407 rounded to the nearest whole number explain your thinking on a number line
Answer:
1
Step-by-step explanation:
4 is less than 5, so you round to 1 and not 2
The sum of two consecutive natural numbers is 475 find the numbers. Find the numbers
Step-by-step explanation:
Need to FinD :We have to find the numbers.[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]
We know that,
The sum of the two consecutive natural numbers is 475 and we're asked to find out the numbers. So, let the two consecutive natural numbers be x and x + 1.Therefore,
[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]
∴ Hence, the first number is 237. Now, let us find out the second number.
[tex]\rule{200}{3}[/tex]
Second NumbeR :
x + 1237 + 1238∴ Hence, the second number is 238.
The two consecutive numbers whose sum is 475 are 237 and 238.
Let assume the two consecutive natural numbers as x and x+1.
According to the given information,
the sum of the two consecutive numbers is 475.
So, the equation can be set up as:
x + (x+1) = 475
Combining like terms, we get:
2x + 1 = 475
Subtracting 1 from both sides, we have:
2x + 1 - 1 = 475 - 1
2x = 474
Dividing both sides by 2, we find:
x = 237
Thus, the two consecutive numbers are 237 and 238.
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a circuit is supplied with 30 volts and the total circuit resistance is 3 ohms what the current through the circuit flowing
Answer:
10 amps
Step-by-step explanation:
Ohm's law states
I = [tex]\frac{V}{R}[/tex]
I is the current, V the voltage and R the resistance, thus
I = [tex]\frac{30}{3}[/tex] = 10
What is 15% of 75% of 80?
Final answer:
To find 15% of 75% of 80, calculate 75% of 80 first (0.75 imes 80 = 60), then find 15% of 60 (0.15 imes 60 = 9), resulting in an answer of 9.
Explanation:
The student has asked: What is 15% of 75% of 80?
To solve this problem, we'll need to follow these steps:
First, find 75% of 80.
Then, find 15% of the result from step 1.
Let's start with the first step:
75% of 80 is equivalent to 0.75 imes 80, which equals 60.
Now, for the second step:
15% of 60 is equivalent to 0.15 imes 60, which equals 9.
Therefore, 15% of 75% of 80 is 9.
Which two whole numbers lies between the square root of 10
3 > √10 > 4
the answer would be 3 & 4
Answer: 3 & 4
Step-by-step explanation:
Evaluate the numerical expression. − 1 2 − (− 3 4 )
Answer:
-12 + 34= 22 is the solution
happy paws charges $19.00 plus $1.50 per hour to keep
which model represents the factors of x^2 + 9x+8?
Answer:
Step-by-step explanation:
x² + 9x+8 = (x+1)(x+8)
Part 1: Assume that a bacteria population triples every hour. Which of the following three tables of data, with
x representing time in hours and y the count of bacteria, could represent the bacteria population? Circle the
letter of your choice.
Answer:
Table C
If the bacteria population triples every hour, it must multiply by three each time.
Table C fits this pattern
y | 1 | 3 | 9 | 27 | 81 | 243 | 729
1×3=3, 3×3=9, 9×3=27 etc.
What are the solutions to the equation (x – 6)(X + 8) = 0?
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given
(x - 6)(x + 8) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 8 = 0 ⇒ x = - 8
Answer:
x = -8, 6.
Step-by-step explanation:
(x– 6)(x + 8) = 0
Either factor can be zero:
x - 6 = 0 gives x = 6 and
x + 8 = 0 gives x = -8.
-8(2r - 8)+ 6 = -3(r + 7)
Answer:
r = 7
Step-by-step explanation:
Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.
Afterwards, combine like terms by adding 64 and 6.
Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.
Next subtract 70 from both sides
Divide -13 by both sides
You should get the answer of r=7
Bill and Colin are cousins. Right now Bill is 21 years older than Colin. In 13 years
Bill's age will be twice Colin's age. How old is Colin right now? How old is Bill?
The solution to this problem requires us to set up an algebraic equation representing the given condition. After solving that equation, we discover that currently Colin is 8 years old and Bill is 29 years old.
Explanation:This is a simple algebra problem dealing with ages and years. Let's define Colin's current age as 'x'. Consequently, Bill's age will be 'x + 21'. In 13 years, Colin will be 'x + 13' years old and Bill will be 'x + 21 + 13' years old.
According to the statement given, in 13 years: 'Bill's age will be twice Colin's age', this can be translated into the equation: 2*(x + 13) = x + 21 + 13. Solving this equation, we first multiply out the left side of the equation: 2x + 26 = x + 34. We can then subtract 'x' from both sides of the equation to get: x = 8.
This means that today, Colin is 8 years old. To find Bill's age, we add 21 to Colin's age, meaning Bill is 29 years old.
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Sandra plays a matching game. In order to advance to the next level, she must score at least 10 points.she scores 18 points for correct matches and -6 points for incorrect matches. Did Sandra make it to the next level
Sandra made it to the next level in the matching game.
Explanation:Sandra's Matching GameSandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.
18 - 6 = 12 points
Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.
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What is the answer to 6(-3-4y) simplifying algebriac expressions
Answer:
-18 - 24y.
Step-by-step explanation:
6(-3-4y)
We use the distributive law to give:
6 * -3 + 6* -4y
= -18 - 24y.
Henry uses 3/8 cup of sugar for 2/7 batch of hus brownies. How much sugar is needed for a full batch of brownies
Answer: [tex]\frac{21}{16}\ cups\ of\ sugar\approx1.3\ cups\ of\ sugar[/tex]
Step-by-step explanation:
Let be "x" the cups of sugar needed for a full batch of brownies.
You need to analize the information provided in the exercise.
Since Henry uses [tex]\frac{3}{8}[/tex] cups of sugar for [tex]\frac{2}{7}[/tex] batch of brownies, you can write the following proportion:
[tex]\frac{\frac{3}{8}}{\frac{2}{7}}=\frac{x}{1}[/tex]
Finally, you must solve for "x".
Therefore, you get the following result:
[tex]x=\frac{21}{16}\ cups\approx1.3\ cups[/tex]
What is 79/100 as a decimal
Hey!
-------------------------------------
Solution:
Divide to get the decimal.
79 / 100 = 0.79
-------------------------------------
Answer:
0.79
-------------------------------------
Hope This Helped! Good Luck!
Answer: 0.79
Step-by-step explanation:
divide to get the decimal.
remeber, if n is two digits, n/100 = 0.n
2n +7 is greater than or equal to 27 or 3+3n is less than or equal to 30. What is n?
this is written as
[tex]2n + 7 \geqslant 27[/tex]
change the greater than or equal to sign to equal to in order to solve it
thus
[tex]2n + 7 = 27[/tex]
[tex]2n = 27 - 7[/tex]
[tex]2n = 20[/tex]
dividing through by 2
[tex] \frac{2n}{2} = \frac{20}{2} [/tex]
[tex]n = 10[/tex]
{[tex]{n:n \geqslant 10}[/tex]}
Inputs would include
a. sales receipts.
b. none of the above
c. an income statement.
d. a balance sheet.
Answer:
none of the above i think
Step-by-step explanation:
SV perpendicular RT RSU=(17x-3) and UST=(6x-1) find each measure
Answer:
Part 1) x=8
Part 2) m∠RSU=133°
Part 3) m∠UST=47°
Part 4) m∠WSV=43°
Part 5) m∠VSU=137°
Step-by-step explanation:
see the attached figure to better understand the problem
Part 1) Find the value of x
we know that
m∠RSU and m∠UST are supplementary angles (by linear pair)
so
m∠RSU+m∠UST=180°
we have
m∠RSU=(17x-3)°
m∠UST=(6x-1)°
substitute the given values and solve for x
[tex](17x-3)\°+(6x-1)\°=180\°[/tex]
[tex](23x-4)=180[/tex]
[tex]23x=180+4[/tex]
[tex]23x=184[/tex]
[tex]x=8[/tex]
Part 2) Find the measure of m∠RSU
we have
m∠RSU=(17x-3)°
substitute the value of x
m∠RSU=17(8)-3=133°
Part 3) Find the measure of m∠UST
we have
m∠UST=(6x-1)°
substitute the value of x
m∠UST=6(8)-1=47°
Part 4) Find the measure of m∠WSV
we know that
m∠UST=m∠RSW -----> by vertical angles
so
m∠RSW=47°
m∠RSW+m∠WSV=90° ----> given problem (SV perpendicular RT)
substitute the value of m∠RSW and solve for m∠WSV
47°+m∠WSV=90°
m∠WSV=90°-47°=43°
Part 5) Find the measure of m∠VSU
we know that
m∠VSU=m∠VST+m∠UST
we have
m∠VST=90° ----> given problem (SV perpendicular RT)
m∠UST=47°
substitute
m∠VSU=90°+47°=137°
Please put these from greatest to least.
876.405, 887.053, 887.208
887.208
887.053
876.405
Hope this helps
If n stands for the unknown number, which expression represents the phrase below? the sum of a number and three, divided by seven Group of answer choices (n + 3) / 7 n + 7/3 7/n + 3 7 / (n + 3)
Answer:
(n+3)/7
Step-by-step explanation:
Let
n -----> the unknown number
we know that
The algebraic expression of the phrase " the sum of a number and three" is equal to
(n+3) -----> number n plus number 3
so
The algebraic expression of the phrase " the sum of a number and three divided by seven" is equal to
(n+3)/7 ----> divide (n+3) by the number 7
therefore
The expression is
(n+3)/7
X is greater than or equal to -2
[tex]X \geq -2[/tex]
When deriving the quadratic formula by completing the square what expression can be added to both sides of the equation to create a perfect square trinomial x^+b/ax+_=-c/a+_
To convert the quadratic polynomial into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation. [tex]\dfrac{b^2}{4a^2}[/tex] can be added to both sides of the equation.
The given equation is [tex]x^2+\dfrac{b}{a}x+?=\dfrac{-c}{a}+?[/tex]
Now,
To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.
Therefore,
[tex]x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=\dfrac{-c}{a}+\dfrac{b^2}{4a^2}[/tex]
Thus, [tex]\dfrac{b^2}{4a^2}[/tex] should be added to both sides of the equation to convert the above equation into the quadratic polynomial.
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Answer:
d
Step-by-step explanation:
edge
6,840 customers in 45 days
Please answer this thank you.
11: 4,874 > 4,784 > 4,687
12: 8.09 > 8.057 > 8.023
13: 15.820 > 15.280 > 15.000
14: 43,628 > 40,628 > 34,628
15: 395.050 > 395.009 > 395.005
There are 302 languages spoken in China. Of those, 276 are indigenous. What percent of the languages spoken in China are indigenous?
Answer:
91.39%.
Step-by-step explanation:
That is 276 * 100 / 302
= 91.39%.
Write the equation of the line in slope intercept from that is parallel given the equation and point.
Answer:
y = - 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 6x - 4 ← is in slope- intercept form
with slope m = - 6
• Parallel lines have equal slopes, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = - 6x - 19 ← in slope- intercept form
José sets up computers. He has been working
on a job today for about six hours. He told his
boss the job was about 75% complete.
José needs approximately 2 more hours to complete his job.
We should calculate the total time required for 100% completion and then subtract the time he has already worked.
José has completed 75% of the job in 6 hours.To find the total time for 100%, we use the proportion: 6 hours / 0.75 = 8 hours.Therefore, the total time required to complete the job is 8 hours.José needs 8 hours - 6 hours = 2 more hours to finish the job.He needs approximately 2 more hours to complete the job.
Complete Question:
Jose sets up computers. He has been working on the job today for 6 hours. He told his boss the job was about 75% complete. Approximately how many more hours does he need to complete the job.
The fastest male marathon running time is 2 hours 2 minutes 57 seconds of a marathon is 26.2 miles how long in minutes and seconds would it take the same man to run 1 mile??
Answer:
B
Step-by-step explanation:
simply by dividing time and miles by number 2 until 6 miles comes to 1 mile