Step-by-step explanation:
Let the integers be a, b and c. To model the expression generally;
[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]
Using the model to solve the following expression given
a) [tex]\dfrac{1}{4} \div 2[/tex]
[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]
b)
[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]
HURRY ASAP HELP
Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?
Step-by-step explanation:
Store A:
6% of 1,200 is 72
72 + 1,200 = 1,272
Thus, store A has a total of 1,272
Store B:
7% of 1,350 is 94.5
94.5 + 1,350 = 1444.5
Thus, Store B has a total of 1444.5
1444.5 - 1,272 = 172.5
Thus, Store A is cheaper.
Answer:
sales tax- rate×original amount
A- 6/100(1200)=72
B- 7/100(1350)=94.5
what is the solution for 36.16=17.56+5x
Answer:
x=3.72
Step-by-step explanation:
Answer: x = 3.72
Step-by-step explanation:
36.16 = 17.56 + 5x
-17.56 = -17.56
18.6 = 5x
Divide 18.6 by 5 and divide 5 by 5.
3.72 = x
Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)
Answer:
B. 4400Step-by-step explanation:
-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400Correct option is B.
The following two triangles are similar. Find x
A.) 4
B.) 6
C.) 7
D.) 5
The value of x is 7.
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two similar triangles.
56/48 = x/6
Cross multiply.
x = (56 x 6)/ 48
x = (7 x 6)/6
x = 7
Thus,
x is 7.
Learn more about triangles here:
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What is the difference between ordering numbers, comparing numbers, and comparing amounts?
Answer:
different definitions
Step-by-step explanation:
ordering numbers can be seen as arranging the numbers by a certain characteristics. for example, you could order numbers from least to greatest
comparing numbers can be seen as looking into two or more numbers rather than the entire group of numbers. for example, if there were the numbers 1, 2, 3, 4, 5, 6, you could say that 2, 4, 6, are even numbers
comparing amounts could be determined by worth but not the numerical values. for example, you could have a gallon of milk and a quart of orange juice but just by the size of the container, a gallon of milk is bigger and holds more than a quart of orange juice
The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza?
Answer:
3*16=48
Step-by-step explanation:
If 1/16th of a pizza is 3 dollars, 1/16*16=1 3*16=48
Therefore,
1 pizza is $48
You really paying that much for one pizza
18 is answer i think
can anyone help me solve this twenty points if you solve it
Answer:
Option d is the ryt answer.
Point slope form:
y-y1 = m(x-x1)
Slope intercept form:
y = mx+b
an equation of the line that passes through (2, −4) and (0, −4).
Answer:
what
Step-by-step explanation:
Answer:
y = 0x - 4
Step-by-step explanation:
The slope is 0
Can anyone please help me with #30? :(
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
I need help on photo above please!!!
Given the exponential function [tex]f(x) = 9(3)^x[/tex], what is the value of f(x) when x =-1
Answer:
f(-1) = 3
General Formulas and Concepts;
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 9(3)ˣ
x = -1
Step 2: Solve
Substitute: f(-1) = 9(3)⁻¹Evaluate: f(-1) = 9(1/3)Multiply: f(-1) = 9/3Divide: f(-1) = 3Is 23 x 10^8 written in scientific notation
Answer:
yes,it is written in scientific notation.
Yes, the given number is written in scientific notation.
What is scientific notation?
A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.
Yes, 23 x 10^8 is showing a specified degree of accuracy.
Therefore, it is written in scientific notation.
For more references on scientific notation, click;
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The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.
Answer:
the distance for 7 minutes is 210m
the distance for 10 minutes is 300m
the distance for 14 minutes is 420m
the distance for 29 minutes is 600m
Step-by-step explanation:
d=30(7)
d=210
d=30(10)
d=300
d=30(14)
d=420
d=30(20)
d=600
Mrs. Kidd is five feet 3 inches tall. If one inch is approximately 2.5 centimeters, how many centimeters tall is Mrs. Kidd? Do NOT round or label your answer
Answer:
Mrs.kidd is 162.5 centimeters tall
Step-by-step explanation:
5 foot 3 inches is 63 inches
63 times 2.5 = 162.5
Mrs.kidd is 162.5 centimeters tall
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0
Answer:
yo add me on intagram Its_yo-Boy_Jonathan65
Step-by-step explanation:
Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
misses the goal. She scores 4 goals and misses
Answer:
the answer is 16
Step-by-step explanation:
Graph y < -x - 1, I do not understand what to do without a slope given.
Answer:
Step-by-step explanation:
If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1
In this case the inequality reads y<-1x/1-1
The slope is -1/1x or fall 1 crawl 1
The y-intercept is -1
I looked up the graph...
• Samir and Jillian share a phone plan. Each month they can use a combined total of up
to 8 GB of data. So far this month, Samir has used 4.23 GB and Jillian has used 2.89 GB.
They want to know whether they still have data left to use.
.) Find the
sum
of Samir's and Jillian's data.
Compare that amount to
8
GB.
) An exact calculation is not necessary to solve the problem.
You can approximate the sum by rounding the addends.
• Round each person's data to the nearest gigabyte.
Samir:
GB
Jillian:
?
GB
7
8
9
4
5
6
Answer:
72GB
Step-by-step explanation:
Answer:
7 GB
Step-by-step explanation:
Just did this
Which of the following is equivalent to 12x + 6?
Answer:
6 ( 2 x + 1)
Step-by-step explanation:
Which answer choice best describes 3x ?
terms
constant
coefficient
factor
HELP!!BRAINLIEST AND 10 POINTS
Answer:
A
Step-by-step explanation:
I think that's da answer I hope it help ya
distribute 3(7x - 8)
Answer: 21x - 24
Step-by-step explanation:
(3 * 7) x - 3 (8) = 21x - 24
(80i) – (80 + 101) =
Express your answer in the form (a + bi).
Answer:
- 80 + 70i
Step-by-step explanation:
Given
80i - (80 + 10i) ← distribute by - 1
= 80i - 80 - 10i ← collect like terms
= - 80 + 70i
Answer:
(80 i) - (80 + 101)
80 i - ( 181)
-181 + 80 i
Step-by-step explanation:
pic below...........
..............
look below
Answer:
3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer:
2.25 or fraction 9/4
Step-by-step explanation:
can you please help meee ,due at 11!
How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0
Answer:
The equation has no real solutions. It has 2 imaginary, or complex solutions.
Step-by-step explanation:
In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?
Answer:
The secant of angle x; sec x = √17
Step-by-step explanation:
Here, given the tangent of an angle, we want to find the value of the secant
Mathematically;
sec^2 x = 1 + tan^2 x
This is from trigonometric identity
Thus;
sec x = √(1 + tan^2 x)
According to the question;
tan x = 4
So tan^2 x = 4^2 = 16
Thus;
sec x = √1 + 4^2
sec x = √17
A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor
Answer: 5:8
Step-by-step explanation:
Given: Total animals in the pet store = 40
Number of animals that are puppies= 15
Number of animals that are not puppies= 40- 15 = 25
Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.
So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]
Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].
Hence, the required ratio = 5:8
5÷4/9 help mee :_<<<<<<
Answer:
45/4 I think
Step-by-step explanation:
you would do keep flip switch
so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4
hopefully this helps you
Answer:
5 divided by 4/9 equals 45/4, or 11.25
Step-by-step explanation: