Any whole number can be written as a fraction. All we do is place the number over 1.
For example, the whole number 7 is the same as the fraction 7/1.
If we wanted to multiply the whole number 7 with the fraction 2/3 then...
[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]
In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.
Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
Learn more about word problems in mathematics here:
https://brainly.com/question/21405634
What is the answer to y=-2(-3/2)-9
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
5-x=3
Work out the value of 3x2
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
Complete the table for this equation. y=x+6
Answer:
Step-by-step explanation:
6/5 pls help as fast as possible
Answer: 6 divided by 5 is 1.2
Step-by-step explanation: I used Siri lol
Answer:
1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.
Step-by-step explanation:
Please look for the question in the picture.
Answer:
C and B
Step-by-step explanation:
20%=1/5 so D+1/5D
1.2 = 120%
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
please solve this quick
9 times 11 = 0.818181...
Explain?
Which of the following is a geometric sequence with a common ratio of 2?
A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...
Answer:
A
Step-by-step explanation:
Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.
Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television
Answer:
10 weeks
Step-by-step explanation:
76.55x+200.92=966.42
76.55x=966.42-200.92
76.55x=765.5
x=765.5/76.55
10
let f(x)=3x^2-6x+5 what is the leading coefficient
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
estimate a 15 tip on a restaurant bill of $24.55
Answer:
39.55
Step-by-step explanation:
24.99+15=39.55
That is how you get your answer :)
Answer:
1.89
Step-by-step explanation:
.15 x 24.55=1.89
The sum of two consecutive integers is -11. Find the number
Answer:
-5 and -6
Step-by-step explanation:
Lets do the equation: x+x+1=-11
Add: 2x+1=-11
Subtract: 2x=-12
Divide: x=-6
The smaller integer is -6
The larger integer is -5
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
Solve the equation algebraically show work to support the answer
2/3x + 4 = 2
Answer:
2/3x + 4 = 2
or,3x+2+4=2
or,3x+6=2
or,3x=2-6
or,3x=-4
or,x=-4/3
x=-1.33
A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80
Answer:
0.80
Step-by-step explanation:
its the farthest away from 0.60
Help help help math math
Answer:
It is an example of a nonlinear function.
Step-by-step explanation:
Use a graphing calculator or graph the points and try to make a line, as it will not work
Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answer:
a1=21
an=an-1+6
Step-by-step explanation:
QUESTION 22 PLEASE HELP ME!!!!
Answer:
the answer is infinite
Step-by-step explanation:
would u like me to explain?
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]
[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.
Answer:
what is the question?
Step-by-step explanation:
Help help math math math
Answer:
x = 16
Step-by-step explanation:
The two marked angles are supplementary:
(7x -2) +(4x +6) = 180
11x +4 = 180
11x = 176
x = 176/11 = 16
The value of x is 16.
_____
Additional comment
The angle on the left is 110°; the one on the right is 70°, so that answer checks.
These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.
Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.
Answer: x=1 6
Step-by-step explanation:
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
Learn more equations here: https://brainly.com/question/22688504
What is the range of the relation below?
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000
Answer:
R(x)=2x.
Step-by-step explanation:
We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by
R(x)=selling price per unit⋅x.
The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.