Answer:
B
Step-by-step explanation:
Let first number = x
Second number = y
Twice a number = 2*x = 2x
The sum of twice a number and another number is 24
2x + y = 24 -----------------------(I)
The difference of twice the first number and the other number is 12.
2x - y = 12 ----------------------(II)
Add equation (I) & (II) and y will be eliminated and we can find the number 'x'
(I) 2x + y = 24
(II) 2x - y = 12 {Now add the two equations}
4x = 36
Divide both sides by 4
4x/4 = 36/4
x = 9
Plug in the value of 'x' in equation (I)
2*9 + y = 24
18 + y = 24
Subtract 18 from both sides
18 + y - 18 = 24 - 18
y = 6
The numbers are 9, 6
If on adding 9 to twice of a whole number gives 31, then the whole number is
Answer:
Hey there!
We can let x be that number.
2x+9=31
2x=22
x=11
The number is 11.
Let me know if this helps :)
Answer:
The whole number is 11.
Step-by-step explanation:
Let's call the whole number x. We can write the following equation:
2x + 9 = 31
Subtracting 9 from both sides of the equation gives us:
2x + 9 - 9 = 31 - 9
2x = 22
Dividing both sides of the equation by 2 gives us:
2x / 2 = 22 / 2
x = 11
The number of Liters remaining in a 100 Liter tank that is draining at a rate of 4 Liters per minute for m
minutes.
Answer:
Big fella
Step-by-step explanation:
100-4 x m
he will look into the matter.
change to passive voice
Your question has been heard loud and clear
Passive voice
The matter will be looked into by him.
Thankyou
answer as soon as possible, please! !algebra! 2¹⁵ x 8¹⁹ x 2⁴ x 8¹⁰ a. 2¹⁹ x 8²⁹ b. 4⁶⁰ x 64¹⁹⁰ c. 2⁶⁰ x 8¹⁹⁰ d. 4¹⁹ x 16²⁹ and the x's are multiplication not variables
Answer:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
Step-by-step explanation:
PLEASE READ THE QUESTIONS AND ANSWER IT CORRECTLY
use the image below to HELP you answer it!!
whoever answers the question well i'll mark you the brainiest
a) Work out the angle x
x=
b)Write down the value of angle y,giving your reason
Answer:
(A) 70°
(B) 67°, because they are alternate interior angles
Step-by-step explanation:
For a:
The angles of a triangle will all add up to 180°. Using the "feathers" (lines that signify congruence), we can tell that the angle connecting the two congruent lines will be different than the other two, which will be equivalent to each other.
This means that the angle measure of x will be [tex]180-55-55[/tex], or just [tex]180-110[/tex].
This is equal to 70°.
For b:
We know that the 67° angle and y are formed by the same line intersecting two parallel lines. This means that the angle measures of each intersection point will be the same as the other intersection point, however they will be flipped. This makes the concept of alternate interior angles. We know that the 67° angle and y are formed by the same line, this means that their angle lengths are the same - therefore y is 67°.
Hope this helped!
what is the greatest common factor of 61 and 77
Their GCF is 1. They don’t have any others that are the same
Write an algebraic expression to represents the verbal expression: the difference between the product of 4 and a number and the square of the number
Answer:
[tex]4n-n^2[/tex]
Step-by-step explanation:
I use 'n' as the unknown value, but you can use any letter you want as the variable.
The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.
The square of the number would be n². Squaring a number is multiplying a number by itself.
The phrase 'difference between...' means subtraction.
Putting it together:
"The difference between the product of 4 and a number and the square of the number" would be:
[tex]4n-n^2[/tex]
Hope this helps.
What is the definition of Plagiarism? What is the policy about blank assignments, essays, or short answer questions? Why do you think we do not allow you to take a zero on any assignment?
Answer:
definition of plagiarism
Step-by-step explanation:
Plagiarism is presenting someone else's work or ideas as your own, with or without their consent, by incorporating it into your work without full acknowledgement. All published and unpublished material, whether in manuscript, printed or electronic form, is covered under this definition.
Pick out three equivalent fractions from the group 1/2 , 1/3, 3/4,3/6,2/4,4/10
Answer:
1/2, 3/6 and 2/4 are equivalent fractions.
Step-by-step explanation:
To know if the fractions are equivalent, their simplest form should be the same.
So we must simplify all the fractions to their simplest form.
To find the simplest form of a fraction, we must divide the numerator and denominator with their GCF (Greatest Common Factor)
So:
1/2 = 1/2
1/3 = 1/3
3/4 = 3/4
3/6 = 1/2 ( The GCF for 3 and 6 is 3)
2/4 = 1/2 ( The GCF for 2 and 4 is 2)
4/10 = 2/5 ( The GCF for 4 and 10 is 2)
Because 1/2, 3/6 and 2/4 has the same simplest form, they are equivalent fractions.
I hope this helps! I'm sorry if it's wrong or too complicated.
solve the equation below for a
vf=vi+at
Answer:
a=[tex]\frac{vf - vi }{t}[/tex]
Step-by-step explanation:
vf=vi + at
vf-vi= at
divide both sides by t
[tex]\frac{vf - vi }{t}[/tex] =[tex]\frac{at}{t}[/tex]
a=[tex]\frac{vf - vi }{t}[/tex]
The average third grade student can read
80 words in 5 minutes. What is the average
reading rate per minute?
write an expression to represent the problem.
Answer:
16x
Step-by-step explanation:
80 divided by 5 is 16, so the student can read 16 words per minute. X is the number of minutes.
The average reading rate per minute is 16 words/ min.
and its expression will be [tex]16x[/tex]
where, [tex]x[/tex] represents the minutes
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is given that the average third grade student can read 80 words in 5 minutes and it is to calculate the average words read by the student per minute :
[tex]\begin{aligned}5 \text{\:min}&\rightarrow 80 \text{\:words}\\1 \text{\:min}&\rightarrow \frac{80}{5}\text{\:words} \\&\rightarrow 16 \text{\:words}\end{aligned}[/tex]
Therefore, the average reading rate per minute is 16 words/ min.
Read more about ratio at:
https://brainly.com/question/17869111
#SPJ2
10-15 kinda hard for me
10 is 90 degrees as all angles on a straight line add up to 180
11 is 42 degrees as all angles on a straight line add up to 180
12 is 138 degrees as all angles on a straight line add up to 180
13 is 42 degrees as vertically opposite angles are the same
14 is 132 degrees as i added the other two angles
15 is 138 degrees as i added the other two angles
there you go hope this helped
Line TS is the perpendicular bisector of QR. Which of the following must be true?
Answer:
Option A must be true.
Step-by-step explanation:
Answer:
[tex] \overline{TQ} \cong \overline {TR} [/tex]
Step-by-step explanation:
Since, endpoints of a segment are equidistant from any point situated on the perpendicular bisector of that segment.
T is a Point on the perpendicular bisector of segment AB.
[tex] \therefore \overline{TQ} \cong \overline {TR} [/tex]
a stockbroker sold 70 shares of stock $14.52 each. what was the total amount of the sale?
Answer:
$1016.4 - if this is just a simple multiplication question
f(x) = -x2 - 9x
Find f(-2)
Answer:
22
Step-by-step explanation:
replace -2 for every in the equation:
-(-2)x2-9x-2=22
Answer:
f(-2)=14
Step-by-step explanation:
[tex]f(x) = -x^2 - 9x\\\\f(-2) = -(-2)^2-9(-2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(-2\right)^2\::\quad 4\\=-4-9\left(-2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(-2\right)\::\quad -18\\\\=-4-\left(-18\right)\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-4-\left(-18\right)\:\\f(-2):\quad 14[/tex]
write a real world problem for the equation y=3/5x+100
Answer:
is this for a test?
Step-by-step explanation:
Which of the following is equivalent to 18 - square root of -25?
Answer:
90i
Step-by-step explanation:
18 * sqrt(-25) = 90i
What is x if f(x) =1
the answer is 1 because when x is a variable by it self it is 1
Answer: 1
Step-by-step explanation: f(x)=1
Increase #500 in the ratio 16:10
Answer:
Answer is 900.
Step-by-step explanation:
To find:
Increase #500 in the ratio 16:10
Solution:
New Number: Old Number = 16:10
We are given the old number as 500.
Let the new number after increase = [tex]x[/tex]
Now, using the above ratio:
[tex]x[/tex]: 500 = 16:10
[tex]\dfrac{x}{500} = \dfrac{16}{10}\\\Rightarrow x = 500 \times \dfrac{16}{10}\\\Rightarrow x = 50 \times 16\\\Rightarrow x = 900[/tex]
Therefore, the increased value of 500 in the ration 16:10 is 900.
A car manufacturer claims that their car can get 32 miles per gallon minus the speed
factor. This can be modeled by the linear equation f(x) = 32 -0.15x where f(x)
represents the miles per gallon and x is the mph. What would be the predicted miles
per gallon for a car going 60 mph using this equation?
Type your answer.
Answer:
23 mpg
Step-by-step explanation:
We simply need to evaluate the given function at the speed requested (60 mph):
[tex]f(x)=32-0.15\,x\\f(60)=32-0.15\,(60)\\f(60)=23\,\,mpg[/tex]
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
Answer:
Jackson is charitable.
Step-by-step explanation:
can someone pls . & hurry thxs
Answer:
(D) [tex]x>-10[/tex]
Step-by-step explanation:
If we have the inequality [tex]-7x + 4 > -8x - 6[/tex], we can simplify it down and get [tex]x[/tex] isolated on one side of the equation.
Add 6 to both sides:
[tex]-7x + 4 + 6 > -8x - 6 + 6\\\\-7x + 10 > -8x[/tex]
Add [tex]8x[/tex] to both sides of the inequality:
[tex]-7x + 10 + 8x > -8x+8x\\\\x + 10 > 0[/tex]
Subtract 10 from both sides of the inequality:
[tex]x + 10 - 10 > 0 - 10\\\\x > -10[/tex]
So (D) [tex]x>-10[/tex] is the correct simplification.
Hope this helped!
Find the number which when added to 10 times itself gives 264
Answer: 24
Step-by-step explanation:
Let x=the number
x+10x=264
11x=264
x=24
Hope this helps!! :)
A rectangle had perimeter 92cm and length 38 cm. What is the width?
Answer:
7cm
Step-by-step explanation:
Find the value of x. A. 84 B. 40 C. 50 D. 155
The value of the angle x will be 40°. Then the correct option is B.
What is a circle?The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.
The minor arc is 75°. And the another arc is 130°.
We know that the complete circle subtends 360 degrees.
Then the measure of the major arc will be
Major arc + 130° + 75° = 360°
Major arc + 205° = 360°
Major arc = 155°
Then the value of the angle x will be given by the half of the difference of the major arc to minor arc.
x = (Major arc – minor arc) / 2
x = (155 – 75)/2
x = 80 / 2
x = 40°
Thus, the value of the angle x will be 40°.
Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ5
Evaluate the logarithmic expression [logsubscript5(25) + logsubscript5(125) - logsubscript5(625)] / logsubscript5(100)
The value of the expression, rounded to the nearest hundredth, is {blank}
Step-by-step explanation:
[tex] \frac{ log_{5}(25) + log_{5}(125) - log_{5}(625)}{ log_{5}(100) } [/tex]
[tex] \frac{ log_{5}( \frac{25 \times 125}{625} ) }{ log_{5}(25 \times 4) } [/tex]
[tex] \frac{ log_{5}(5) }{ log_{5}(25) + log_{5}(4) } [/tex]
[tex] \frac{1}{2 + 2 log_{5}(2) } [/tex]
[tex]0.3495 = 0.35[/tex]
Five boys A, B, C, D,E
are sitting in a park in a circle. A is facing South-West, D is facing
South-East, B and E are right opposite A and D respectively and C is equidistant between
D and B. Which direction is C facing?
Answer:
C is facing North
Step-by-step explanation:
PLZZZZ HELP ASAP !!!!!
Answer:
Step-by-step explanation:
a.
[tex]AC=\sqrt{AB^2-BC^2} =\sqrt{13^2-5^2} =\sqrt{169-25} =\sqrt{144} =12\\[/tex]
applying sine formula
AB=c
AC=b
BC=a
[tex]\frac{a}{sin A} =\frac{b}{sin B} =\frac{c}{sin C} \\\\\frac{5}{sin A} =\frac{12}{sin B} =\frac{13}{sin 90} \\using~last~two\\\frac{12}{sin B}= \frac{13}{1} \\sin B=\frac{12}{13}\\ B=sin^{-1}(\frac{12}{13}) \approx 67.38 ^\circ[/tex]
b.
third angle ∠Y=180-(30+90)=180-120=60
using sine formula
[tex]\frac{xz}{sin Y} =\frac{xy}{sin Z} = \frac{yz}{sin X} \\\frac{30}{sin 60} =\frac{xy}{sin 90} =\frac{h}{sin 30} \\using ~first~and~last\\\frac{30}{\frac{\sqrt{3} }{2} } =\frac{h}{\frac{1}{2} } \\2h=\frac{60}{\sqrt{3} } \\h=\frac{30}{\sqrt{3} } \times \frac{\sqrt{3} }{\sqrt{3} } =10\sqrt{3}[/tex]
) I went from my house to a playground, 300
metres away in 10 minutes. I ran back and
reached in 2 minutes. What was my average
speed? give answer fast!
Answer:
v = 0.834 m/s or 3 km/h
Step-by-step explanation:
Given that,
Distance between house and playground is 300 meters
If you went 300 metres away in 10 minutes and ran back and reached in 2 minutes, it means total distance covered by you during whole journey is 300 m + 300 m = 600 m
Total time, t = 10 min + 2 min = 12 min = 720 seconds
Total distance covered divided by total time gives average speed. So,
[tex]v=\dfrac{600\ m}{720\ s}\\\\v=0.834\ m/s[/tex]
or
v = 3 km/h
So, the average speed is 0.834 m/s or 3 km/h.
15x^2-4x-4=15x
2
−4x−4=
Answer:
i think the answer u need is -2-4x