Answers
9514 1404 393
Answer:
Step 2 is where the error lies.
The solution is x > 6
Step-by-step explanation:
The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)
Kahal's steps would be expected to be the same ones you would use:
Step 1: 4x -4 > 20 . . . given
Step 2: 4x > 24 . . . add 4 to both sides
Step 3: x > 6 . . . . . divide by 4
We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.
__
Exception (order-reversing operations)
The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...
1 < 2
-1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1
Notice that the order has been reversed: the larger magnitude number is now "less than".
Related Questions
Y= -6/5x-7 and y=2/5x+1
Answers
Answer:
x = -5
y = -1
Step-by-step explanation:
Y= -6/5x-7 and y=2/5x+1
then:
-6/5x - 7 = 2/5x + 1
simplify:
-8/5x = 8
divide both sides by 8:
-1/5x = 1
multiply both sides by 5:
-x = 5
x = -5
y = 2/5(-5) + 1 = -2 + 1 = -1
i can never understand these can someone help
Answers
Cross multiply.
15x=300
x=20
Therefore, the missing side is 20.
Which expression is equal to x + (f + g)? (1 point)
a
xf + g
b
x + fg
c
(x + f) ⋅ g
d
(x + f) + g
(urgent)
Answers
because you are adding and f and g are together and x is separated if that makes sense
What is the Mean of the data below 2,4,5,6,8,2,5, 6
Answers
the answer is 4.75
Step-by-step explanation:
The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data. Example 1 : ... There are 8 numbers in the set. Add them all, and then divide by 8 . so just add all you numbers and divide it by 8. simple
How do you find averages
Answers
Answer:
You add up all numbers then divide it by how many numbers.
Step-by-step explanation:
Example. You have 1, 2, 3, 4, 5.
So 1+2+3+4+5
=15
Then 15÷5
So answer would be 3.
Hope this helps.
Find the missing side lengths please help
Answers
Answer:
Using Pythagoras theorem for right angled triangle,
x^2 = 14^2 + 15^2
X= ✓ 196 + 225
X= ✓ 421
X=20.5
15. You are re-teaching an estimation lesson. You could use:
O A) T fan
OB) poker chips
O C) the game of chess.
OD) a box of paper clips.
16. Operations is another word for
A) estimation
O B) place value
C) computation
O D) story problems
Answers
Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest that he paid was $160 how much money did he borrow
Answers
Given:
Rate of simple interest = 5%
Time = 4 years
Total interest = $160
To find:
The amount borrowed by Austin from a credit union.
Solution:
The formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]I=160,r=5,t=4[/tex] in the above formula, we get
[tex]160=\dfrac{P\times 5\times 4}{100}[/tex]
[tex]160=\dfrac{20P}{100}[/tex]
[tex]160=\dfrac{P}{5}[/tex]
Multiply both sides by 5.
[tex]800=P[/tex]
Therefore, Austin borrowed $800 from a credit union for 4 years.
A relay race is 1/4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer
Answers
Answer:
0.0625 miles
Step-by-step explanation:
There is a faster way but this way makes more sense
1/4 miles = 440 yards
440/4 (since 4 people)
110 yards per person
Put back into miles
Everyone ran 0.0625 miles
Which value is a solution to the inequality x 4
Answers
Answer:
The answer is D
Step-by-step explanation:
We want to see which of the given values is a solution of the inequality:
x < 4
The correct option is A, x = 3.
Finding the solution:
So the inequality:
x < 4
This means that the variable must be a number smaller than 4.
Then we just need to select the option that is smaller than 4, the only option that meets this requirement is option A, x = 3
Also, as you can see in the number line, the only number that is in the shaded part is x = 3 (from the ones in the options).
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)
Answers
Step-by-step explanation:
just use step by step process so dum
Evaluate the following expression if x=3: x^1
Answers
Answer:
3
Step-by-step explanation:
Find the measures of the numbered angles in rhombus ABCD.
Answers
Answer:
∠1 = 66°
∠2 = 24°
∠3 = 24°
∠4 = 90°
Step-by-step explanation:
∠1 = 90 - 24 = 66°
∠2 = 24°
∠3 = 24° because segment DB bisects ∠ABC
∠4 = 90° because it is a right angle
Order the fractions, decimals, and percents from least to greatest. ( If you get it right I will mark you Brainliest.
Answers
Step-by-step explanation:
Convert all into decimals:
0.14, 4/8=0.5,0.33
Answer:
0.14, 0.33, 0.5
or
0.14, 3/9, 4/8
A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted
Answers
Answer:
Step-by-step explanation:
P=2K
50K+75P=1200, using P from above makes this equation become
50K+75(2K)=1200
50K+150K=1200
200K=1200
K=6, since P=2K
P=2(6)=12
So 12 puppies and 6 kittens were adopted.
Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts
Answers
Find the slope (12,2),(18,-2)
Answers
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
y2-y1/x2-x1
-2-2/18-12
-4/6
-2/3
Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?
A 1/6
B 1/3
C 1/2
D 3
Please help!
Answers
Answer: that means you have a 3/6 chance which can be simplified to 1/2
1, 3 and 5 are the odd numbers
Step-by-step explanation:
Answer:
the answer is c 1/2
Step-by-step explanation:
since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2
0.5+69-69=180-69 plz help I will give brainlest
Answers
Answer: 0.5 = 111
Step-by-step explanation:
Answer:
Step-by-step explanation:69696969699696969696969696969699696965iu436745
Max is asked to prove that LM=MN Here is hs proof.
This is not a correct proof explain why
Answers
Answer:
Its not true because:
Step-by-step explanation:
if you divide by M, with M not being 0, ypu have the equation L=N which is false
Identify the slope of the graph below
Answers
Answer:
Positive
Step-by-step explanation:
Answer:
POSITIVE
Step-by-step explanation:
It's positive because the slope is rising like this /
If it was negative it would be declining like this \
hope that makes sense but I'm 1000% sure it's positive
I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answers
Answer:
y -10 = -1/9 (x-9)
Step-by-step explanation:
Point slope form is
y-y1 = m (x-x1)
y -10 = -1/9 (x-9)
In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.
Answers
Answer:
78
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
Two angles are vertical if one is 5x - 15 and the second angle is 3x + 1, what is the value of x
What is the measure of each angle
Answers
Answer:
Step-by-step explanation:
If they are vertical angles, they are opposite to each other where two lines intersect. Vertical angles are equal to each other so
5x-15=3x+1
2x-15=1
2x=16
x=8 degrees.
The angles are
a=5x-15, and x=8 so
a=5(8)-15
a=40-15
a=25 degrees.
The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacteria be 400,000. Let x represent the number of days and f(x) represent the amount of bacteria. Write an equation.
Answers
Answer:
f(x) = 50000*2^x3 daysStep-by-step explanation:
Given:
Initial amount of bacteria = 50000Growth rate = 2 times a dayRequired equation:
f(x) = 50000*2^xSolve for x:
400000 = 50000*2^x2^x = 400000/500002^x = 82^x = 2^3x = 3After 3 days bacteria numbers will reach 400000
Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30
Answers
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
A baker has 15 cups of flour. He sets aside 4 cups of flour, and uses the rest for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make? pls help ana2928
Answers
15-4= 11
11 x2=22
The quadrilateral below is a rectangle. Solve for x and m
Answers
Answer:
x = 13
∠WZX = 57°
Step-by-step explanation:
Because it is a rectangle, ∠XYZ is 90°
∠XZY + ∠YXZ = 90
(5x - 8) + (x + 20) = 90
simplify:
6x + 12 = 90
subtract 12 from each side
6x = 78
divide both sides by 6
x = 13
∠WZX is complimentary to angle (x + 20)
∠WZX = 90 - (13 + 20) = 57°
B
A baby whale was born at the zoo. The baby
weighed 234.268 pounds. What is this number
rounded to the nearest hundredth?
a) 234.3
234:26
b) 234.26
c) 234.27
d) 234.268
Answers
Answer:
B I think hope it is right
Robert bought a pair of shoes that was on sale for 30% off
the original price of $79.95. Which is closest to the sale
price of the pair of shoes?
Answers
Answer:
The sale price of the shoes is $55.96
Step-by-step explanation:
1: 30% of $79.95 is 23.985.
Which would round to $23.99.
Then subtract 23.99 from 79.95.
79.95-23.99= 55.96