Answer:
Dr. Ram varan Yadav is the first president of Nepal.
hope it is helpful to you
If Rachel can reach 91 inches high, AC = 2x, and BC= 5x+7, how tall is the object she's
reaching for (AC)?
a) 24 inches
b) 13 inches
c) 67 inches
d) 91 inches
Answer:
d 91
Step-by-step explanation:
she is reaching it perfectly at this height in the problem, its super easy
Solve this equation. Enter your answer in the box.
13(y+7)=3(y−1).
★To Solve :
[tex]\rm\blue{13(y+7) = 3(y-1)}[/tex]
⠀⠀⠀⠀⠀
★SOLUTION :
[tex]\rm\red\leadsto{13(y+7) = 3(y-1)}[/tex]
[tex]\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}[/tex]
[tex]\rm\red\leadsto{13y+91=3y-3}[/tex]
[tex]\rm\red\leadsto{13y-3y=-3-91}[/tex]
[tex]\rm\red\leadsto{10y=-94}[/tex]
[tex] \rm\red\leadsto{} y =\dfrac{ { \cancel{-94}}^{ \:-45 } }{ { \cancel{10}}^{ \: 5} } [/tex]
[tex]\rm\red\leadsto{y=}\dfrac{-47}{5}[/tex]
____________________
One hour after a hiker left camp, a biker set out to catch up. If the hiker traveled 3 miles per hour and the biker traveled 6 miles per hour faster, how long will it take for the biker to catch up with the hiker?
Answer:
30 minutes after biker left
Step-by-step explanation:
Given that :
Speed of hiker = 3 mph
Speed of biker = (3 +6) = 9 mph
Present Distance of hiker when the biker set out ;
Present Distance of hiker = speed * time = (3 * 1) = 3 miles
Time taken to catchup equals :
Present distance + (distance when biker set out) = bikers distance
Let time taken = x
(3 + (3 * x)) = (9 *x)
(3 + 3x) = 9x
3 + 3x = 9x
3 = 9x - 3x
3 = 6x
x = 3/6
x = 1/2 hours
x = 30 minutes
30 minutes after biker left
Answer:
0.5 hrs or 30 mins
Step-by-step explanation:
In order for the parallelogram to be a rectangle x=
Answer:
x = 2
Step-by-step explanation:
Set the two equations 13x+34 and 10x+10 together to add up to 90 on the right which should look like this 13x + 34 + 10x + 10 = 90. Combine the two x-values to get 23x and the two other numbers to get 44. Your equation should now be 23x + 44 = 90. Subtract 44 on both sides to get this equation 23x = 46. Divide 23 on both sides to get your x value which is 2.
Answer:
X is equal to 2
Step-by-step explanation:
90 = 13x + 34 + 10x + 10
Combine Like Terms:
90 = 23x + 44
Subtraction Property of Equality:
90 - 44 = 23x + 44 - 44 ---> 46 = 23x
Division Property of Equality:
46 ÷ 23 = 23x ÷ 23 ---> 2 = x
Check Your Work:90 = 13x + 34 + 10x + 10
Fill In Variables:
90 = 13(2) + 34 + 10(2) + 10
90= 26 + 34 + 20 + 10
90 = 60 + 30
90 = 90
Joe walked 1/3 of the journey to the library to his house to meet his cousin Lucy how far did he travel
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Answer:
The equation of line parallel to given line passing through (8,-7) is:
[tex]y = -\frac{5}{4}x+3[/tex]
Step-by-step explanation:
Given line is:
5x+4y=16
first of all, we have to convert the equation of given line in slope-intercept form
[tex]4y = -5x+16[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4[/tex]
Slope intercept form is:
[tex]y=mx+b[/tex]
The slope of given line is:
[tex]m = -\frac{5}{4}[/tex]
Let m1 be the slope of line parallel to given line
"The slopes of two parallel lines are equal"
[tex]m = m_1\\m_1 = -\frac{5}{4}[/tex]
The equation of line parallel to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of slope
[tex]y = -\frac{5}{4}x+b[/tex]
Putting the point (8,-7) in the equation
[tex]-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3[/tex]
Putting the value of b
[tex]y = -\frac{5}{4}x+3[/tex]
Hence,
The equation of line parallel to given line passing through (8,-7) is:
[tex]y = -\frac{5}{4}x+3[/tex]
DWhich measurement is equal to 4 quarts?
D)12 pints
)8 cups
D16 pints
)16 cups
Done
Answer:
16 cups is equal to 4 quarts
Step-by-step explanation:
Multiply the volume by 4
The required 4 quarts are equal to 16 cups. This means that if you have 4 quarts of liquid, you can pour it into 16 cups and it will completely fill them. Option D is correct.
1 quart is equivalent to 4 cups. This is a standard conversion ratio between quarts and cups. It means that if you have 1 quart of liquid and you want to know how many cups it is, you can simply multiply the number of quarts by 4.
So, to find out how many cups are in 4 quarts, we perform the following calculation:
4 quarts * 4 cups/quart = 16 cups
Learn more about conversion ratios here:
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Look at the photo pick A B C D either one explanation not needed thank you! <3
Answer:
A. 5.444444444444 XD
Step-by-step explanation:
Answer:
I just thought about it in my head but possibly try A
Step-by-step explanation:
...
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing cars and $6 per hour walking dogs. How much money would Jack earn in a week in which he worked 5 hours washing cars and 2 hours walking dogs? How much money would Jack earn in a week in which he worked w w hours washing cars and d d hours walking dogs? 5 hours washing cars and 2 hours walking dogs: w w hours washing cars and d d hours walking dogs:
Answer:
$57
[tex]9w+6d[/tex]
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = [tex]w[/tex]
Number of hours taken for walking dogs = [tex]d[/tex]
Earnings for [tex]w[/tex] hours for washing cars = Per hour earnings multiplied by number of hours = $9[tex]w[/tex]
Earnings for [tex]d[/tex] hours for walking dogs = Per hour earnings multiplied by number of hours = $6[tex]d[/tex]
Total earnings by both = $([tex]9w+6d[/tex])
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 [tex]\times[/tex] 5 + 6 [tex]\times[/tex] 2 = $57
ach light bulb at Hotel California is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and ninety percent of the fluorescent bulbs are switched on. If eighty percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent
Answer:
10%
Step-by-step explanation:
The computation of the percentage of bulbs that switched on incandescent is as follows;
Let us assume the incandescent be I
And, the fluorescent be F
Now the equation is
0.4I + 0.9F = 0.8 (I+F)
0.41I + 0.9F = 0.8I + 0.8F
So here
0.4I = 0.1F
Now the percentage would be for incandescent in the case of switched on is
= 0.4I ÷ 0.8(I+F) × 100
= 0.1F ÷ 1F
= 10%
Katya and her friends stand in a circle. It turns out that both neighbors of each child are of the same gender. If there are five boys in the circle, how many girls are there?
Answer:
We are known that Katya and her friends stand in a circle and both neighbors are of same gender this means that the person on the right and the person on the left of anyone in the circle will be of same gender either a girl or a boy.
We are given that there are five boys, we could have considered the circle to be only composed of boys but we are given there is a girl Katya within it and it is also mentioned that 'Katya and her friends' that means there can be more girls in the circle.
Now when we draw a circle on a page and mark points K for Katya and boys B1 and B2 on right and on the left of Katya we will get to know that after each boy there has to be a space vacant because on that space a girl should be positioned only then we will meet the criteria of both gender's same on the neighbor side of each person.
Also we will mark boys B1,B2,B3,B4,B5 as five boys and leave space vacant for girls and with those vacant spaces we get to know there will be 4 vacant spaces and one is Katya herself.
Therefore there will be a total of five girls in the circle one is Katya and other four.
help meeeeeeennsndnxncnvn
Answer:
12 oz (1) has the lowest
Step-by-step explanation:
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Find the sum. You may find using a number line to be helpful. Victor borrowed $20.50 from his mother to go to the theater. A week later, he paid her $20.50 back. How much does he still owe her?
Subtract the amount he paid his mother back from the amount he borrowed from her:
20.50 - 20.50 = 0
He does not owe his mother any more.
Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
5(x - 2) - 6 = 24
Step 2: Solve for x
Add 6 to both sides: 5(x - 2) = 30Divide 5 on both sides: x - 2 = 6Add 2 to both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(8 - 2) - 6 = 24Subtract: 5(6) - 6 = 24Multiply: 30 - 6 = 24Subtract: 24 = 24Here we see that 24 does indeed equal 24.
∴ x = 8 is the solution to the equation.
find the value of x and the measures of the missing angles
Answer:
Step-by-step explanation:
m∠X + m∠Y + m∠Z = 180 {angle sum property of triangle}
3x + 5 + 40 +4x - 5 = 180
3x + 4x + 5 + 40 -5 = 180 {Combine like terms}
7x + 40 = 180 { subtract 40 from both sides}
7x = 180 - 40
7x = 140
x = 140/7
x = 20
m∠X = 3x + 5
= 3*20 + 5
= 60 + 5
m∠X = 65
m∠Z = 4x - 5
= 4*20 - 5
= 80 - 5
m∠Z = 75
A system of equations is shown on the graph below.how many solutions does this system have
Answer:
1
Step-by-step explanation:
A solution to a system of equations is the point where the 2 lines meet.
If x = -2/3 and y = 27, what is the value of xy + 5/3 ?
A) -20/3
B) -13/3
C) 5/6
D) 3
Answer:
b)[tex]\frac{-13}{3}[/tex]
Step-by-step explanation:
[tex]\frac{xy + 5}{3}\\\\\frac{\frac{-2}{3}27 + 5}{3}\\\\\frac{-18 + 5}{3}\\\\\frac{-18 + 5}{3}\\\\\frac{-13}{3}[/tex]
Answer:
B
Step-by-step explanation:
Evaluate the numerator , that is
xy + 5 = ( - [tex]\frac{2}{3}[/tex] × 27 ) + 5 = - 18 + 5 = - 13 , then
[tex]\frac{-13}{3}[/tex]
= - [tex]\frac{13}{3}[/tex] → B
What is the product of (2x – 1)
(3x + 3)?
Answer:
6x^2 + 3x - 3
Step-by-step explanation:
Using the FOIL method, we would multiply 2x by 3x, then multiply 2x by 3, then multiply -1 by 3x, then multiply -1 by 3. This would bring the answer to 6x^2 + 6x -3x - 3. Combine the like terms 6x and -3x and you get 6x^2 + 3x - 3
How much money will we need to buy enough 12 packs for 168 people to
have 1 can each? Explain how you know.
Pls I need it now
In ΔQRS, r = 380 cm, s = 390 cm and ∠Q=48°. Find the length of q, to the nearest centimeter.
Step-by-step explanation:
Using Cosine rule, we have:
q² = r² + s² - 2(r)(s)(cosQ)
= 380² + 390² - 2(380)(390)(cos48°)
= 98169.688cm²
Hence q = 313cm. (nearest centimeter)
The required value of side q is 313 cm for the triangle ΔQRS.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
In triangle QRS side r = 380 cm, side s = 390 cm and angle Q = 48°.
To find the length of the side q,
Use cosine rule,
[tex]cos Q = \frac{(r^2 + s^2 - q^2)}{(2\times r \times s)}[/tex]
Substitute the values here,
[tex]cos 48 = \frac{(380)^2 + (390)^2- q^2}{2\times380 \times390} \\[/tex]
[tex]0.67 = \frac{144400 + 152100 - q^2}{296400}[/tex]
198,588 = 296500 - q²
q² = 97912
q = 312.90
q = 313 cm
The value of side q is 313 cm.
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find the value ,when 17 more than - 6
Answer: 11
Step-by-step explanation:
From the question, we are told to calculate the value when 17 is more than -6. This question simply means that we should add -6 and 17 together. This would then be:
= -6 + 17
= 11
Therefore, the answer is 11.
Josh runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
6 / 55 = x / 44
44*6/55= x
x = 4.8 miles
Step-by-step explanation:
Please help fast as you can
Answer:
The elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Step-by-step explanation:
C = {x ∈ Z | such that -2 ≤ x < 6 }
It is clear that the x ∈ Z, meaning the x belongs to the set of integers Z.
It is given that -2 ≤ x < 6.
so x must be greater than or equal to -2 and less than 6.
Therefore, the elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Click and drag like terms onto each other to simplify fully.
-y−y+4x+4x-3−3+2+2+2+2-5x−5x
(-y −y) + (4x + 4x) + (-3 −3 + 2 + 2 + 2 + 2) + (-5x−5x)
-2y + 8x + 2 - 10x
-2y -2x +2
Help me pleaseeeeeee:)
Please I need help fast!!!
The answer is c. because all of the other answers arne tpossible due to where they graphed it
Guys is this correct? Look at the picture attached
It would be best to label the points if your turning it in. It can help people easily identify the points you've plotted.
From the looks of it, your equation is good.
The base is good and your math is right, but where did you get your height from?
If you count from point R up to line PQ you get 5 as the height.
I understand miscounting's a thing, no worries.
So if we input the correct height, we get A = 1/2 (3)(5)
1/2 * 15
7.5
The area of the polygon is 7.5 units.
I hope that helps and if you ever need any more help don't be afraid to reach out!
What polynomial should be subtracted from 3x^2+4x-1 to get the difference equal to 1
=====================================================
Explanation:
Assume the polynomial we want to find is in the form Ax^2+Bx+C
The goal is to find the values of A, B, and C.
We start with 3x^2+4x-1, then we subtract off Ax^2+Bx+C. Set this equal to 1 and we get:
(3x^2+4x-1) - (Ax^2+Bx+C) = 1
3x^2+4x-1 -Ax^2-Bx-C = 0x^2 + 0x + 1
(3x^2-Ax^2) + (4x-Bx) + (-1-C) = 0x^2 + 0x + 1
(3-A)x^2 + (4-B)x + (-1-C) = 0x^2 + 0x + 1
From here we equate the coefficients of the x^2 terms together and we see that 3-A = 0 which leads to A = 3.
Do the same for the x terms to get 4-B = 0 leading to B = 4
Finally, we have -1-C = 1 lead to C = -2
The polynomial Ax^2+Bx+C becomes 3x^2+4x-2
-------------------
Checking the answer:
(3x^2+4x-1) - (Ax^2+Bx+C)
(3x^2+4x-1) - (3x^2+4x-2)
3x^2+4x-1 - 3x^2-4x+2
(3x^2-3x^2) + (4x-4x) + (-1+2)
0x^2 + 0x + 1
0 + 0 + 1
1
We get a difference of 1, so the answer is confirmed.
A recipe uses 4 cups of sugar to make 520 cookies. If there are 1300 cookies, how many cups of
sugar would be needed?
Answer:
Step-by-step explanation:
if there are cups of sugar for 520 cookies
this means with one cup of sugar we can make 130 cookies
520/4=130
1300/130= 10 cups
for 1300 cookies we need 10 cups of sugar
PLEASE HELP V IMPORTANT
the answers I input were just so I could see other questions.
Step-by-step explanation:
(T-S)(2000), when T(x) and S(x) are functions, is equivalent to T(2000)-S(2000), which is 17-7=10
We know that T(x) is equal to everything else, and everything else is S(x)+G(x), so T(x)-S(x) = G(x), or dollars spent on general science