Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
how to do this question plz answer
Answer:
(⌐■-■)
Step-by-step explanation:
Add perimeter of a quarter circle with radius 7 cm.
Hope this helps....
Have a nice day!!!!
The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation.
Answer:
(A) Domain : (-4, 3]
(B) Range : [ -2, 4)
find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)
Answer:
(4,3)
Step-by-step explanation:
To find the midpoint add the end points and divide by 2
P(2,5) S ( sx, sy) and the midpoint is and H (3,4)
X coordinate
( 2+ sx) /2 = 3
Multiply each side by 2
2+sx = 3*2
2+sx = 6
Subtract 2
sx = 4
Y coordinate
( 5+ sy) /2 = 4
Multiply each side by 2
5+sy = 4*2
5+sy = 8
Subtract 5
sy = 3
The end point is
(4,3)
Answer:
[tex]\huge \boxed{\mathrm{S(4,3)}}[/tex]
Step-by-step explanation:
We can use the midpoint formula to solve for the endpoint.
[tex]\displaystyle m=(\frac{x_1+x_2 }{2} ,\frac{y_1+y_2}{2} )[/tex]
The midpoint of PS is H.
[tex]\displaystyle \frac{2+x_2 }{2} =3 \ \ \ \frac{5+y_2}{2} =4[/tex]
[tex]\displaystyle 2+x_2 =6 \ \ \ 5+y_2 =8[/tex]
[tex]x_2=4 \ \ \ y_2=3[/tex]
S(4, 3)
PLEASE ANSWER ASAP! I REALLY NEED THIS ANSWER :( WILL MARK BRAINLIEST!Which sum will be irrational? a) 3+2 b) square root 19 + 7 over 2 c) 18 over 3 + 11 over 10,000 d) -6+(-3.251)
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
1) 3 + 2 = 5 [Since the result is a natural number, it is a rational number]
2) [tex]\sqrt{19} + \frac{7}{2}[/tex] [ It has a square root that cannot be simplified further so the sum of this is an irrational one ]
3) [tex]\frac{18}{3} + \frac{11}{10000}[/tex] [The sum of it is rational i.e. in the form of p/q ]
4) -6+ (-3.251) = -6-3.251 = -9.251 [ Since the result is an integer, it is a rational number]
Answer:
[tex]\Huge \boxed{\sqrt{19} +7}[/tex]
Step-by-step explanation:
Rational numbers can be integers, fractions, and whole numbers.
Rational numbers can be expressed as fractions p/q, where p and q are whole numbers.
[tex]3+2=5[/tex]
5 is whole number, it is a rational number.
[tex]\sqrt{19} +7= 11.358899....[/tex]
[tex]\sqrt{19}[/tex] is an irrational number, it cannot be expressed as a fraction p/q, where p and q are whole numbers.
[tex]\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
[tex]-6+(-3.251)=-9.251[/tex]
The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "X" or "y" to describe the unknowns.
the product of a number and eight
Answer:
8X
Step-by-step explanation:
it says the product, which is multiplication
of a number (lets call it X) and 8
so its 8*X
Answer:
8x
Step-by-step explanation:
it says the product, which is basically multiplication of a number (which lets call X) and 8
so its 8*X
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
divide 5kg in the ratio 13:7
Answer:
1.75 kg
Step-by-step explanation:
13/20 of 5 = 13/20 x 5= 3.25 kg
and, 7/20 of 5 = 7/20 x 5=1.75 kg
so, divide, 5 kg in ration of 13:7 is:
3.25 kg : 1.75 kg
Answer:
3.25 Kg : 1.75 Kg
Step-by-step explanation:
Sum the parts of the ratio, 13 + 7 = 20 parts
Divide the amount by 20 to find the value of one part of the ratio.
5 Kg ÷ 20 = 0.25 Kg ← value of 1 part of the ratio, thus
13 parts = 13 × 0.25 =3.25 Kg
7 parts = 7 × 0.25 = 1.75 Kg
A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?
Answer:
7.5$Step-by-step explanation:
[tex]Original price = \$50\\Discount = 15\%\\\\\frac{15}{100} \times 50\\ = \$7.5\\[/tex]
Pls halp due today >_<. Thank you
Answer: A. -6.007, -2π, -√48
Step-by-step explanation:
-2π ≈ -6.28
-√48 ≈ -6.93
-6.007 = -6.007
-----------------------
-6.007>-6.28>-6.93
-6.007>-2π>-√48
estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 cm,length of the shadow of the tree:840 cm,calculate the height of the tree
Answer:
1303.45 cm
Step-by-step explanation:
The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.
Let x be the height of the tree. Setting the ratios equal, we get:
180/116 = x/840
Solve for x:
x = 840 * (180/116)
x ≈ 1303.45 cm
Is (-2,0) a solution of the graphed inequality
Answer: NO
Step-by-step explanation:
The line that separates the two part is a dashed line which means that the point on the lines are not in the solution
EXTRA: ONLY IF IT IS A SOLID LINE, THE POINTS WILL BE A SOLUTION
(-2,0) is on the dashed line, so it is not a solution
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
-6
Step-by-step explanation:
The parallel line can be written using the same x- and y-coefficients, but with a different constant:
x +3y = constant
For the line to go through the given point, the constant must be ...
(-7) +3(2) = constant
-1 = constant
In order for the constant to be +3 instead of -1, the entire equation must be multiplied by -3:
-3x -9y = 3 ⇒ A = -3, B = -9
Then the expression B-A is ...
B -A = (-9) -(-3) = -6
The value of B - A is -6.
Which is the simplified form of 5x + 2y - 3x + y ?
Step-by-step explanation:
5x + 2y - 3x + y
Solving like terms
2x + 3y
Answer:
5x +2y -3x +y
= 2x +3y
2x+3y is the simplified form.
Emily was digging for gold. She dug a total of 40 feet deep into the ground. She dug 17% every minute. How far had she dug after 3 minutes?
Answer:
91 feet or 51
Step-by-step explanation:
17x 3= 51
51 + 40(what she dug before)
or it's just 51
Answer:
60.4 ft deep
Step-by-step explanation:
17% = .17
40 * .17 = 6.8 per hour
6.8 * 3 = 20.4
20.4 + 40 = 60.4 ft deep
Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).
Answer:
Step-by-step explanation:
By MVT,
[tex]f'(c) = \frac{f(5)-f(-1)}{5-1}[/tex]
[tex]4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3[/tex]
Moreover, [tex]f'(x)\leq 4~~~~~~ \forall x,[/tex]
[tex]f(5) \leq 16 - 3 =13[/tex]
Hence the largest possible value of f(5) is 13
What is 56/128 (Fraction) added to 1 (whole number)
best and accurate will be marked as brainliest
Answer:
23/16
Step-by-step explanation:
simplify, 56/128 = 7/16
7 + 16 over 16
add together 7 and 16= 23
=23/16
Answer:
[tex]\Large \boxed{\frac{23}{16} }[/tex]
Step-by-step explanation:
56/128 + 1
56/128 is a fraction.
1 is a whole number.
1 can be rewritten as a fraction.
1 = 128/128
56/128 + 128/128
Add the fractions since denominators are equal.
(56+128)/128
184/128
Simplify the fraction.
8(23)/8(16)
23/16
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)
Answer:
x - 2y = - 2
Step-by-step explanation:
Given the following :
1/2 , (3, 4),
The equation of a line :
y = mx + c
m = slope ; c = gradient
m = 1/2
c = (y1 - x1) / 2
c = (4 - 3) / 2 = 1/2
Hence, y = 1/2x + 1/2
In standard form:
Ax + By = C
A and B integer Coefficient of x and y respectively
y = 1/2x + 1/2
1/2x - y = - 1/2
Multiply both sides by 2
x - 2y = - 2
Hence, standard form of the equation is :
x - 2y = - 2
6x² + 5x-2x
I am trying to do combining like terms
Step-by-step explanation:
To combine like terms, we need to find similar numbers. 5x and -2x can be simplified because they both end with x. 6x^2 is different because it ends with x^2. So to simplify, we subtract 2x from 5x to get 3x, and we add 6x^2 to get our answer.
Answer: [tex]6x^2+3x[/tex]
Answer:
6x² +3x
Step-by-step explanation:
We are given the expression:
[tex]6x^2 + 5x-2x[/tex]
and asked to combine like terms. Let's analyze the terms.
6x² ⇒ has a variable, x²
5x ⇒ has a variable, x
2x ⇒ has a variable, x
Now, let's group the like terms, 5x and -2x.
[tex]6x^2+ (5x-2x)[/tex]
Next, combine the like terms. Subtract 2x from 5x.
[tex]6x^2+(3x)[/tex]
[tex]6x^2+3x[/tex]
The expression 6x² +5x-2x simplified is 6x² +3x
Help pls 30 points given
Answer:
draw a diagonal line from (0,0) to (10,100) then find the output then you will get your answer
Step-by-step explanation:
At a farmer's market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string beans? (Write your answer as a fraction.) ASAP whoever answers first will get brainlist
Answer:
Your answer will be 1/8
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to
(6)?
Answer: It would be all of the above.
Step-by-step explanation:
A coin flipped 10 times and shows tails each time. Is there statistical significance to say that the coin is not a fair coin
Answer:
no because Chance is likely to account the result.
how to do this question plz answer my question plz
Answer:
Take the information given and create an equation that add up to 360.
Step-by-step explanation:
You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x
The equation sets up as
55+65+(55+120)+x = 360
Add all the numbers to get 295.
295+x=360
Subtract 360-295 = x
x=65
The four angles are 55°,65°,175° and 65°
I hope this answers your question!
3(2c+d)-4(c-d)+d squared when c=1 d=3
please explain steps
Answer:
3(2c+d)-4(c-d)+d^2.
6c+3d-(4c+4d)+d^2.
6×1+3×3-4×1+4×3+9.
6+9-4+12+9=32.
W/5=3 what does w equal
Answer:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
15
Step-by-step explanation:
If something over 5 is 3, that means w divided by 5 equals 3.
That can bve translated to W=3 times 5, which is 15.
Therefore, W= 15.
Find the midpoint of the segment with the following endpoints. (-4, -9) (-10,-3)
Answer:
Step-by-step explanation:
(x1, y1) = (-4 , -9) ; (x2, y2) = (-10, -3)
[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)[/tex]
easy 10 points and brainliest :)
Answer:
y =0
Step-by-step explanation:
If we are on the x axis, the x value can change, but the y value is zero
Answer:
y=0
Step-by-step explanation:
what property is this 5(2+3)=(2+3)5
Are there rotations , transitions or reflections in a chair? ( Geometry 1 honors, I will mark brainly.) ASAP
Answer:
see below
Step-by-step explanation:
There are reflections in a chair. It really would depend on the chair. This chair would have a reflection along the y axis. I don't know of any chair with a translation.
Within a chair, we can have designs that are translations or rotations in the patterns of the fabric
What is the sum of -2-(-17)
Answer: Hi!
Remember, when you're subtracting a negative, that's equal to adding a positive. So -2-(-17) is actually equal to -2 + 17!
-2 + 17 = 15
The expression -2-(-17) is equal to 15.
Hope this helps!
What is the solution to the proportion? Round the answer to the nearest tenth if necessary.
Answer:
problem please
Step-by-step explanation: