Answer:
2.5
Step-by-step explanation:
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Answer:
The answer is the first one 2.5
Step-by-step explanation:
=8 + 1/8 / 2.5 + 3/4
= 64+1/ 10+3/4
=65/8/ 13/4
=65/8 * 4/13
=65/ 2 * 13
=65/26
=2.5
8 + 1/8 / 2.5 + 3/4 = 2.5
Fuel from PDV pump A costs four dollars per gallon and from PDV pump B costs two dollars per gallon. Mark has at most $24 to spend on fuel. Write and graph the system of linear inequalities.
Answer: asically plot down each from the least
Step-by-step explanation:
If the manufacturer gains 6 %, the wholesale dealer 8% and the retailer 10 %. Then what
is the production cost of geyser whose retail price is Rs. 15741?
Answer:
The production cost is Rs 12,500
Step-by-step explanation:
Let the production cost be $x
At any point in time
sales price = cost price +( profit percentage* cost price)
Manufacturer gaining 6%
That would be;
x + 6% of x
x + 0.06x
= 1.06x
Wholesaler gaining 8%
= 1.06x + 8% of 1.06x
1.06x + 0.08(1.06x)
= 1.06x + 0.0848x
= 1.1448x
The for the retailer
= 1.1448x + 10% of 1.1448x
= 1.1448x + 0.11448x
= 1.25928x
1.25928x = 15,741
x = 15,741/1.25928
x = 12,500
HEEEEELP PLEASEEEE THAAAAAAANK YOUUUUU
Answer:
250/30= 25/3
inverse of 25/3= 3/25
Step-by-step explanation:
Find the asymptotes of the following functions
Answer:
a) y = -6/x has a vertical asymptote at x = 0
b) y = 1/(2·x) - 1 has two asymptotes;
1) A vertical asymptote at x = 0
2) A horizontal asymptote at y = -1
Step-by-step explanation:
The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity
a) The given equation is y = -6/x
Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0
b) The given equation is y = 1/(2·x) - 1
∴ y = (1 - 2·x)/(2·x)
The function has a vertical asymptote at x = 0
The function has an horizontal asymptote at y = -2/2 = -1
The rate of change in y = 24x
Answer:
24
Step-by-step explanation:
Using the formula y = mx + b we can find the slope or rate of change. First we must convert it into the formula or equation we currently have which is y = 24x + 0.
24 = m
x = x
0 = b
m is always the rate of change or slope so by finding m we find the slope or rate of change.
In triangle MNP, side m is 54.5 inches, side n is 51.4 inches, and side p is 60 inches long. What is the measure of P?
Answer:
P = 68.95
Step-by-step explanation:
Here, we want to get the measure of angle P
Please check the attachment for the diagram of the triangle
To get P, we use the cosine rule
p^2 = m^2 + n^2 - 2mn Cos P
60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P
2012.21 = 5602.6 Cos P
cos P = 2012.21/5602.6
cos P = 0.3592
P = arc cos 0.3592
P = 68.95
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), determine the coordinates of the other endpoint.
Answer:
The other end of the line segment is at (-8, 3)
Step-by-step explanation:
Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:
dx = -5 - (-2) = -3
dy = -1 - (-5) = 4
-5 + dx = -8
-1 + dx = 3
So the other end of the line segment is at (-8, 3)
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)
The midpoint of a line segment is given as:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
One of the endpoints of the line segment is (-2, -5)
That is, [tex]x_1=-2, y_1=-5[/tex]
Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]
Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in the equation:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]
Solve for [tex]y_2[/tex]
[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]
The coordinates of the other endpoint are (-8, 3)
Learn more here: https://brainly.com/question/20696453
What is the next term of the arithmetic sequence 1, -2, -5, -8, ...
Answer:
-11
Step-by-step explanation:
Subtract 3 everytime
Answer:
-11
Step-by-step explanation:
coz
1-3= -2
-2-3= -5
-5-3= -8
-8-3= -11
1. Which polygon or polygons are regular?
The polygons that are regular are:
Triangle, Parallelogram, and Square.
Options A, B, and C are the correct answer.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
A regular polygon is a polygon where all the sides are equal and the interior angles are equal.
Now,
Figure 1 is a triangle.
Figure 2 is a parallelogram.
Figure 3 is a square.
Figure 4 does not have the same side and the same interior angles.
Thus,
Figure 4 is not a regular polygon.
Learn more about cubes here:
https://brainly.com/question/11168779
#SPJ2
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
Which expression is equivalent to 9x - (x − 8)(x + 1) + 10x? - x² + 19x+8 -x^2+26x+8 8x^2 + 10x+8 8x^2 +26x+8
Answer:
173x^2+107x+24
Step-by-step explanation:
9x-x^2+7x+8+10x-x^2+19x+8-x^2+26x+88x^2+10x+88x^2+26x+8
173x^2+107x+24
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.
Liz is measuring her paper clips. She lines 8 paperclips up along the side of a notebook. The side of the notebook measures 10 2/3. What is the length of each paper clip?
Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.
b) Prove that
Tan 47°\cot 43°= 1
Answer:
Here's the proof
Step-by-step explanation:
tan(47°)/cot(43°)
=tan(90°-47°)/cot(43°)
=cot(43°)/cot(43°)
=1 (proven)
Answer:
Step-by-step explanation
Loll
1. ORDER OF OPERATIONS & SUBSTITUTION - Evaluate the expression
below if x,y and z are the following values: *
x = 3,
y = 1,
and z = -2
x² + y
Z +-3
Answer: -2
Step-by-step explanation:
3 squared + 1, -2 +-3
10/-5= -2
Answer:
-2
Step-by-step explanation:
Justin has $57.18 in his checking account. He deposits his paycheck of $256.79. He then buys $68.42 in groceries, $50.00 in gas, and 2 movies for $15.58 each. What is the new balance in Justin’s checking account?
Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate
Answer: 5 weeks
Step-by-step explanation:
In the 1 week he was on vacation, Nolan was able to buy 3 postcards.
The rate he is buying postcards is therefore 3 per week.
If he needed to buy 15, he would need to be there for:
= 15 postcards/ 3 postcards a week
= 5 weeks
solve for x and express in simplest radical form
Mia reads her favorite book. Thr equation y=25x represents the number of pages read over the amount of days.
is it proportional and the unit rate? (hw help)
Answer:
yes, it is proportional because the slope is constant, and it is a linear equation
the unit rate is 25 x's per y
Step-by-step explanation:
Can some one solve 1 for me plz I need to pass this test it is timed
I’ll give out a crown
Answer:
(x +8) (x - 3)
Step-by-step explanation:
Hope it helps you in your learning process.
what is 7-2x+3+5x+4x2
Answer:
7x+14 I think is correct. it's just combining like terms
Which two grids have 25% shaded
Answer:
there's no grid provided
solve the inequality
please .. if you can show your work i dont understand it
Answer:
X ≥ 3
Step-by-step explanation:
First you simplify, as if the ≤ is an = (just don't multiply with a negative number)
27 = 7X + 6
27 - 6 = 7X
21 = 7X
3 = X
Then you put the ≤ back in
3 ≤ X
and put the X up front. The ≤ then swaps into a ≥
Finally, you can do a test with X = 2 (should be false) and X=4 (should be true), to check wether you made any mistakes.
PLS HELP AND EXPLAINNN
Find the area of a circle with a radius of 9
i know the formula but im doing something wrong i need help
Answer:
A≈254 cm^2
Step-by-step explanation:
The area of a circle is given by formula: π r^2
π has a constant value of 3.14 And the radius of the circle is 9 c m
the area= π r^2 = 3.14 x (9)^2 cm^2
= 3.14 × ( 81 )
= 254.34 c m^2
≈ 254 c m^2
PLS HELP FOR BRAINLIST!!!!!!!
I need help on the 4th column
Answer:
1200¹⁴⁴/₁₂Step-by-step explanation:
at fourth column:
percentage of 12 = 12 (100) = 1200fraction = 144 / 12Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13).
Answer:
The equation of the straight line in Slope- intercept form
y = 3 x - 11
Step-by-step explanation:
Explanation:-
Given points are (2,-5) and (8, 13)
The Slope of the line
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3[/tex]
Equation of the line having slope 'm' and given point
[tex]y - y_{1} = m (x - x_{1} )[/tex]
(x₁ , y₁) = ( 2, -5 )
[tex]y - (-5) = 3 (x - 2 )[/tex]
y + 5 = 3x - 6
The equation of the straight line in slope intercept form
y = m x + c
y = 3 x - 6-5
y = 3 x - 11
Final answer:-
The equation of the straight line in Slope- intercept form
y = 3 x - 11
what are the steps to solving
2x−1(5−3x)=4x+2
Answering:
Step-by-step explanation:
How to solve your question
Your question is
2
Answer:
The answer is above :)
Step-by-step explanation:
Hope i helped
What is the length of segment BE?
A) 2
B) 4
C) 6
D) 8
Answer:
4........
plz follow me....
7. it is on gradpoint
For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, yes
B. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, no
C. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, yes
D. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, no
Answer:
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes
Step-by-step explanation:
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.