Answer:
-15 < 20
Step-by-step explanation:
5(w - 3) < 5w + 20
Distribute;
5w - 15 < 5w + 20
Subtract 5w from both sides;
-15 < 20
Answer:
w<5
Step-by-step explanation:
(5*w-3*5)<5w+20
5w-15<5w+20
5w-5w<20-15
w<5
How do you reduce a ratio?
How to Simplify a Ratio A : B when A and B are both whole numbers
List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form
If the GCF = 1 then the ratio is already in simplest form.
How to Simplify a Ratio A : B when A and B are not whole numbers, in this order
If A or B are mixed numbers convert mixed numbers to improper fractions
If A or B are decimal numbers multiply both values by the same factor of 10 that will eliminate all decimal places
If one value is a fraction and the other a whole number, reduce the fraction to a whole number if you can or turn the whole number into a fraction by giving it a denominator of 1.
If both A and B are fractions and have like denominators, multiply both fractions by the denominator to eliminate it and you are left with two whole numbers
If both A and B are fractions and have unlike denominators, find the LCD(A, B) and rewrite the fractions with the LCD as the denominator. Multiply both fractions by the denominator to eliminate it and you are left with two whole numbers
If both A and B are whole numbers, Find the greatest common factor of A and B, GCF(A, B), and divide A and B each by the GCF
Example: Simplify the ratio 6 : 10
The factors of 6 are: 1, 2, 3, 6
The factors of 10 are: 1, 2, 5, 10
Then the greatest common factor of 6 and 10 is 2
Divide both terms by 2
6 ÷ 2 = 3
10 ÷ 2 = 5
Rewrite the ratio using the results. The simplified ratio is 3 : 5.
6 : 10 = 3 : 5 in simplest form
Answer:
List the factors of A.
List the factors of B.
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF.
Use the whole number results to rewrite the ratio in the simplest form.
Step-by-step explanation:
I hope this helps!!!
Help! I’m confused. Select all the rates that are unit rates
Answer:
The ones you have chosen are correct
Step-by-step explanation:
:)
In a triathlon, Kailee swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her average running speed, and her average running speed was 8 times her average swimming speed. The total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Kailee’s average swimming speed in kilometers per hour.
The problem tells you to make a sketch, a table, and equation but I only want an equation please. No answer either.
Answer:
Swimming speed, S = 1.50 km/hr
Step-by-step explanation:
Let Kailee's running speed be R
Let Kailee's biking speed be B
Let Kailee's swimming speed be S
Given the following data;
Time for swimming = 1 hour.
Time for biking = 1.75 hour.
Time for running = 1 hour.
Total distance = 55.5km
Translating the word problem into an algebraic equation, we have;
Biking speed = 2*8S = 16S
Running speed = 8S
We know that the distance covered by an object or body is given by the formula;
[tex] Distance = speed * time[/tex]
Now we would find the distance covered in each activity (biking, running and swimming).
For biking;
[tex] Distance, D_{1} = 1.75*16S [/tex]
Distance, [tex] D_{1} [/tex] = 28S
For running;
[tex] Distance, D_{2} = 1*8S[/tex]
Distance, [tex] D_{2} [/tex] = 8S
For swimming;
[tex] Distance, D_{3} = 1*S[/tex]
Distance, [tex] D_{3} [/tex] = S
The equation for the total distance covered in the triathlon is given by;
Total distance = sum of all distances covered
[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]
Substituting into the equation, we have;
[tex] 55.5 = 28S + 8S + S[/tex]
[tex] 55.5 = 37S[/tex]
[tex] S = \frac {55.5}{37} [/tex]
S = 1.50 km/hr
Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.
The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip should they give their server?
Answer:
$11.65
Step-by-step explanation:
20% of 58.25, "of" in math means multiplication. So you multiply it.
To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:
.20 * 58.25
So your answer is, $11.65.
To find the total of the bill including the tip it would just be
11.65 + 58.25 = 69.90
does anyone know ? thx
Josefina deposited $250 into her savings account. She then saved $40 per month. Which of the following equations shows a, the amount in Josefina’s saving account after t months?
a = 250 + 40•t
a = 250 — 40•t
a = 40 + 250•t
a = 40 + 210•t
Answer:
a=250+40*t
Step-by-step explanation:
Answer:
a = 250 + 40•t
Hailey was given a box of assorted chocolates for her birthday. Each night, Hailey treats herself to some chocolates. The number of chocolates remaining in the box tt days after Hailey's birthday can be modeled by the equation C=-4t+24.C=−4t+24. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
y intercept is 24 (i think)
Step-by-step explanation:
-4t is x
+24 is y
Answer:
C=30-5t
Step-by-step explanation:
The y-intercept of the function is 30 which represents the number of chocolates in the original box.
that's the correct answer^^^^
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y – 4x = -56
(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i
Answer:
8+2i
Step-by-step explanation:
Combine like terms
3+5=8
4i-2i=2i
Answer: 8 + 2i
Step-by-step explanation:
1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i
2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0
3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i
Helpppp!
How many solutions does 6-3x = 4-x-3-2x have?
A. One solution
B. No solution
C. Infinitely many solutions
D. Two solutions
Answer: If it is 4-x, then the answer is b, no solution. If it is 4x, then it is a, one solution.
Step-by-step explanation:
What is the factored form of 125x6 – 8?
(5x2 – 2)(25x4 – 10x2 – 4)
(5x2 – 2)(25x4 – 10x2 + 4)
(5x2 – 2)(25x4 + 10x2 + 4)
(5x2 – 2)(25x4 + 10x2 – 4)
Answer:
The answer is (5x2 – 2)(25x4 + 10x2 + 4)
f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA
The translation of the given question is
f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient
Answer:
We need to determine slope and position coefficient which is the intercept.
f (x) = - 8x− 4 we know that f(x) is y
slope intercept form of the line
y = -8x -4
slope = -8
intercept = -4
similarly
f (x) = 6x− 12
y = 6x -12
slope =6
intercept = -12
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes?
Answer:
4800
Step-by-step explanation:
3000\5=600
600*8=4800
What is the volume of the following rectangular prism? 4/3 units 23/4 units 2
Answer: 7 2/3
Step-by-step explanation: got it wrong and it showed me the right answer on khan academy
The volume of the rectangular prism is 23/3 units³.
We need to find the volume of the following rectangular prism.
What is the formula to find the volume of the rectangular prism?The formula to find the volume of the rectangular prism is Volume=l×b×h.
Now,
Height of the rectangular prism = 4/3 units
Area of one of the surfaces of the rectangular prism = 23/4 units²
The volume of the rectangular prism = 4/3 units × 23/4 units²
= 23/3 units³
Therefore, the volume of the rectangular prism is 23/3 units³.
To learn more about the volume of the rectangular prism visit:
https://brainly.com/question/21308574.
#SPJ2
ason used a graphing tool to find the equation of the line of best fit in this scatter plot.
After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105.
Jason likely
an error when writing the equation in his notebook because
the slope and the y-intercept of the equation he wrote.
Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.
Step-by-step explanation:
Select the correct answer. Which equation, when solved, gives 8 for the value of x?
The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-\frac{1}{4}x=-2[/tex]
[tex]x=8[/tex]
Please answer correctly !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
∠3, it is quite clear
Step-by-step explanation:
7. If csc 0 = 3, find the exact values of the five remaining trig functions. Your answer ANSWER ASAP
Answer: sin: [tex]\frac{1}{3}[/tex] cos: [tex]\frac{\sqrt{8} }{3}[/tex] tan: [tex]\frac{\sqrt{8} }{8}[/tex] csc: 3 sec: [tex]\frac{3\sqrt{8} }{8}[/tex] cot: [tex]\sqrt{8}[/tex]
Step-by-step explanation: We know that csc is a reciprocal of sinθ so csc3 is sin 1/3. Then draw the right triangle HYP=3 OPP=1 ADJ= [tex]\sqrt{3x^{2} -1}[/tex] =[tex]\sqrt{8}[/tex]
help its mathnnnnnnnnnnnnnnnnnnnnnnn
Answer:
1
Step-by-step explanation:
6 ÷ 2(1 + 2) ; use "please excuse my dear aunt sally", please for parenthesis
6 ÷ 2(3); now do "my" for multiplication
6 ÷ 6 ; now do "dear" for division
1
The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest earned. Solve this formula for T
Answer:
Step-by-step explanation:
as
I=PRT
SO
T=I/PR
Find the slope of the line through the following points. (-1, -4) and (-3,4)
A. 1/4
B. -1/4
C. 4
D. -4
Answer:
The answer is C, the slope is 4.
Step-by-step explanation:
Finding slope using two given points is easy. You need to do (y2-y1/x2-x1)
(-1,-4) the -1 is x1 and the -4 is y1. (-3,4) the -3 is x2 and the 4 is y2.
You plug them into the formula giving you
(4-(-4)/ -3-(-1)= 8/-2= 4
f (x) = 3x +2
fine the inverse of the function
This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
Answer:
4/1x plus 2
Step-by-step explanation:
In the diagram shown,
show work / explain it
Answer:inequality form x ≤ -1
for 3x + 9 ≤ 6
Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable
Answer:
Answer Varies
Step-by-step explanation:
For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.
Mercury travels about 107,100 miles per hour as it resolves around the sun. How far does Mercury travel in 6 seconds?
Answer:
12
Step-by-step explanation:
Answer:
17,850
Step-by-step explanation:
The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
Answer:
85
Step-by-step explanation:
The range is defined as the difference between the highest observation and lower observation in a data.
Here,
The Highest observation in this data= 91
The Lowest observation in this data=6
Hence,
Range of the data= Highest observation - Lower observation
=91-6=85
show that the probabitity that this bead is purple or red is 3/4
Answer:
pls explain in more detail and attach pic cus ive got no clue what ur asking
If f(x) = 0, what is x?
0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only
Answer:
answer will be 0
plz mark me as brainliest
3x - 11 + 2x + 5 = 180
Answer:
First, collect the like terms
3x+2x=180+11-5
Solve for x
5x=191-5
5x=186
x=186/5=37.2
Step-by-step explanation:
I hope it helped a little, please give me brainliest
Answer:
x = 37.2
see first you've got to remove terms without the pronumeral to the other side of the equal to.
