Answer:
x+6 < 19
5x < 20
x < 8
Step-by-step explanation:
To solve this problem, you have to plug in numbers for every statement to see if it is true or not. You know that x is a number less than 4, so we can use 3 as an example.
x-2 > 2 | ❌
This can be rewritten as 3-2 > 2 (since we are plugging in 3, any number less than 4 works)
That is equal to 1 > 2, which is not correct. One is not larger than two.
x+6 < 19 | ✅
This can be rewritten as 3+6 < 19 (for the same reason as above)
That is equal to 9 < 19. 19 is greater than 9, so this is correct.
x < 2 | ❌
This can be rewritten as 3-2 > 2.
That is equal to 1 > 2, which is wrong.
5x < 20 | ✅
This can be rewritten as 5 x 3 < 20
That is equal to 15 < 20, which is correct. 15 is less than 20.
x < 8 | ✅
This can be rewritten as 3 < 8.
3 is less than 8, so this is correct.
-------------------------
I hope that this was helpful! Have a good day.
Find a formula for the linear function passing through the points (-1,14) and (2,-10)
A(-1;14), x=-1, y=14
B(2;-10), x=2, y=-10
General equation for linear function is [tex]y=mx+b[/tex]
Let's solve system of equations
[tex]\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6[/tex]
Olivia ran 4 km and Peter ran 5,186 m. How much farther did Peter run?
Answer:
He ran 1,186 m farther
Step-by-step explanation:
4 km => 4000 m
now,
5,186 m - 4,000 m
=> 1,186 m
the graph f (x) = 4/x2-2x-3 is shown. For which value of x is f(x) decreasing?
Answer:
2nd option
Step-by-step explanation:
the graph is decreasing when the slope of the curve is negative.
This means the graph is sloping downwards.
This occurs between 1 and 3 and from 3 to ∞
The interval in which f(x) is decreasing is then
(1, 3 ) U (3, ∞ )
35 POINTS PLEASE HURRY I NEED THIS TURNED IN ASAP
A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton's sixth-grade class. The results are shown in the dot plot below.
a) Calculate the measures of center for the
data in the dot plot, rounding your answers to
the nearest tenths place. Show how you
determined your answer.
b) Are there any overall patterns in the data
set? Striking deviations? Use mathematical
reasoning to justify your answer.
c) Calculate the measures of spread for Mrs.
Hampton's class data. Justify your response
by describing the process used to find each
measure.
d) Which is a better measure of spread:
range or interquartile range? Why?
e) What does the value of the mean absolute
deviation tell you about the spread of the
data?
GIVING BRAINLIEST TO WHOEVER ANSWERS ALL QUESTIONS
Answer:
The mode if 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.
Step-by-step explanation:
I just did it
Solve. The perimeter of a triangle is 50 centimeters. Find the lengths of its sides, if the longest side is 8 centimeters longer than the shortest side, and the remaining side is 3 centimeters longer than the shortest side.
Answer:
The side lengths are 84, 63 and 28
Step-by-step explanation:
The shortest side of a triangle is 13 cm.
How to estimate the shortest side of a triangle?Let x be the longest side
y be the shortest side
z be the other side
x + y + z = 50 ...........(1)
x = y + 8 ...........(2)
z = y + 3 ............(3)
Replace x with y+8 in equation 1
Replace z with y + 3 in equation 1
To estimate the value for y,
(y+8) + y + (y+3) = 50
Simplifying the above equation, we get
3y + 11 = 50
3y = 50-11
3y = 39
y = 39/3
y = 13 cm
Therefore, the shortest side of a triangle is 13 cm.
To learn more about perimeter of a triangle
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What is 0.514 written as a power of 10?
Answer:
5.14 x10^-2
Step-by-step explanation:
We move the decimal 2 places to the left so it is to the power of -2
Please answer the question in the picture
Answer:
True
Step-by-step explanation:
The polynomial is a perfect square.
I need help and I don’t understand this
Answer:
The ratio is 1/2 : 2.
The value of the ratio is 1/4.
The amount of salt in the recipe is 1/4 the amount of flour.
Step-by-step explanation:
The ratio of the salt to flour is the amount of salt and the amount of flour
1/2 cup salt and 2 cups flour would be 1/2 : 2 The value of a ratio is the ratio simplified (if we make the 1/2 a whole number we would multiply both sides of the ratio by 2 to get 1:4 or 1/4).
1/2 cup is a fourth of 2 cups
I'm not super familiar with ratio values but I'm pretty sure this is correct.
There are 1213 registered voters in Paul's village. During the last election 887 people actually voted. Which of the following is approximately the ratio of the number of the people who voted to the total number of registered voters in the village?
Answer:
3 : 4
Step-by-step explanation:
Given:
1213 = total number of registered voters887 = people who votedratio of people who voted to total number of registered voters:
To find the approx ratio, round both numbers to the nearest hundred:
887 ≈ 9001213 ≈ 1200Therefore, 887 : 1213 ≈ 900 : 1200
The greatest common factor of 900 and 1200 is 300,
so we can reduce the ratio further by dividing both sides by 300:
⇒ 900 : 1200 = 3 : 4
HELP!!! Use the distributive property and solve this equation: 7(z - 6) + 13 = 20
A Tom bought these 3 t shirts at the sale price of $ 14. 50. How much money did he save compared to the original total of the t shirts B what percentage of the total price did Tom save
Answer:
$2.47
14.6%
Step-by-step explanation:
Total of the original prices:
$3.99 + $6.99 + $5.99 = $16.97
He paid $14.50 for the 3 shirts.
$16.97 - $14.50 = $2.47
He saved $2.47.
The percent he saved is
2.47/16.97 × 100% = 14.6%
Juan is running a race. He ran for 3 hours at a speed of 7.5 miles per hour. For how many miles does he run
d = v x t
d = 7.5 miles/h x 3 = 22.5 miles
Answer:
22.5 miles
Step-by-step explanation:
3x7.5=22.5
Two kindergarteners participated in a fundraiser event "Walk
Backwards for Hunger" last weekend. John walked 2/3 of a mile and Mary
walked 3/4 of a mile. Together, they raised $93.50. How much money, each, did
John and Mary raise? Just so you know, the amount raised is proportional to
distance walked
Answer:
John = $44 Mary = $49.50
Step-by-step explanation:
2/3 + 3/4 = 17/12
17/12x = 93.5
17/12x x 12 = 93.5 x 12
17x = 1122
17x/17 = 1122/17
x = 66
2/3x = 66 x 2/3
2/3x = 44
3/4x = 66 x 3/4
3/4x = 49.5
44 + 49.5 = 93.5
John earned $44 while Mary earned $49.5.
Sorry that the explanation was long, but I hope this helps! =D
Which inequality is true?
3<2
-5<6
-6<5
-6>-5
1. 3 is not smaller than two
2. -5 is smaller than six
3. -6 is smaller than five
4. -6 is not bigger than negative 5
So, 2 and 3 are correctMF lent $5,000 to Amit on January 01, 2020. (For simplicity, we assume there is no interest.) At the time of loan issuance, MF estimated that $500 of loans receivable would probably be uncollectible, based on their knowledge of historical credit losses.
From the information given regarding the loan, the amount that will be expected is $4500.
What is an uncollectible loan?It should be noted that an uncollectible loan or account uncollectible are the receivables or loans that have no chance of being paid.
From the question, the amount lent is $5000 and the uncollectible is $500. Therefore, the amount that will be expected to be collected will be:
= $5000 - $500.
= $4500
In conclusion, $4500 will be expected.
Learn more about loans on:
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Find the area of the trapezoid.
A.23.75cm^2
B.67.5cm^2
C.115cm^2
D.57.5cm^2
Answer:
D
Step-by-step explanation:
A=(1/2)(5)(13.5+9.5)=57.5
Answer:
D. 57.5cm^2
Step-by-step explanation:
x : y = 9:7
Form an equation that links x and y.
Answer:
x/y = 9/7
Step-by-step explanation:
One way to form the equation is to write the proportion using a division symbol instead of a colon:
x/y = 9/7
__
If you like, you can solve this for y:
y = 7/9x
Find the perimeter and area
hi, I would appreciate it if u upvote it, thank you
Using the drawing below identify the figure represented by the letters?
2) If a spider can move 6/5 miles every hour, then how many hours would it take for a
spider to go 12 miles?
Answer:
12 x 6/5 = 14.4 hours
Answer:
14.4
Step-by-step explanation:
If you do 6/5x12 you would get 14.4 because 6/5x12/1
72/5=14.4
y = 6x - 11
-2x – 3y = -7
Answer:
y=6x-11
-2-3y= -7
open bracket
collect like terms
= -11 -2 -7 =
-×- = +
11+2=12-7=5
If 1 inch represents 10 miles on a map, then how many inches will represent
120 miles?
Answer:
12 inches
Step-by-step explanation:
120/10 * 1 = 12 inches
Answer:
12 inches
Step-by-step explanation:
This question is asking for us to find the amount of inches that is represented to the amount of miles given (120 miles). In order to do this, let's divide the amount of miles that we need to find out for inches, over what information we already have. By dividing 120 over 10, that will give us the amount of inches that 120 miles represents. So:
120 miles / 10 miles = 12 inches.
This is true, because fractions are basically like division. As our example shows, 120 ÷ 10 = 12, which is true.
I hope that this helps.
pls help plssss
105 + 75 ÷ 5 + 50
a = 80
b= 140
c= 150
d= 70
Answer:
170
Step-by-step explanation:
105 + 75 ÷ 5 + 50
= 105 + 15 + 50
= 120 + 50
= 170
=》None of the options are correct.
Hope it helps ⚜
Which is greater 2/3 or 4/8?
Answer:
Solution:
Here,the denominators are 3 and 8
Multiples of 3=3,6,9,12,15,18,21,24.....Multiples of 8=8,16,24,32,40......Same smallest number=24We have,3×8=24 and 8×3=24.
Now,
[tex] \displaystyle{ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} }[/tex]
[tex] \displaystyle \frac{4}{8} = \frac{4 \times 3}{8 \times 3} = \frac{12}{24} [/tex]
Since,16>12,
So,
[tex] \displaystyle \: \frac{16}{24} > \frac{12}{24} [/tex]
i.e.
[tex] \displaystyle \frac{2}{3} > \frac{4}{8} [/tex]
Method of cross product:
[tex] \displaystyle \: \frac{2}{3} \: or \: \frac{4}{8} [/tex]
[tex] \displaystyle2 \times 8 = 16 \: \: \: \: \: > \: \: \: \: \: 3 \times 4 = 12[/tex]
[tex]16 > 12[/tex]
[tex] \displaystyle \therefore \: \frac{2}{3} > \frac{4}{8} [/tex]
[tex] \displaystyle{Thus,the \: fraction \: \frac{2}{3} \: is \: greater \: than \: the \: fraction \: \frac{4}{8} . }[/tex]
Step-by-step explanation:
[tex] \frak \green{BrainlyFairy}[/tex]
Solution:
Step-1: Make the denominators of both fractions the same.
2/3 and 4/8=> 2 x 8/3 x 8 and 4 x 3/8 x 3=> 16/24 and 12/24Step-2: Compare both the fractions.
16/24 and 12/24 = 2/3 and 4/8=> 16/24 > 12/24Since 16/24 is greater than 12/24, 2/3 is greater than 4/8.
A figure is dilated by a
factor of 5. By what factor
will the area of the figure
change?
Answer:
25/36
Step-by-step explanation:
What is the area of this parallelogram?
A = 20 ft²
A=2123 ft²
A=3313 ft²
A=4123 ft²
Answer:
33.33 ft²
Step-by-step explanation:
→ Write down the formula for the area of a parallelogram
base × height
→ Substitute in numbers
[tex]8\frac{1}{3} *4[/tex]
→ Simplify
33.33 ft²
Answer: A=33 1/3 ft²
Step-by-step explanation:
Evaluate :
56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10
PLEASE HELP!!!!
Solution:
Reviewing the BODMAS:
B = BracketsO = Order of powers or rootsD = DivisionM = MultiplicationA = AdditionS = SubtractionSolving the expression:
56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10=> 56 - 2(20 + 3 x 3 - 2 x 2) + 10=> 56 - 2(20 + 9 - 4) + 10=> 56 - 2(20 + 5) + 10=> 56 - 2(25) + 10=> 56 - 50 + 10=> 56 - 40=> 16The solution to the expression is 16.
Answer:
16Step-by-step explanation:
Evaluation Operation
= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10 Parenthesis
= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10 Divide
= 56 - 2(20 + 3 x 3 - 2 x 2) + 10 Multiply
= 56 - 2(20 + 9 - 4) + 10 Add
= 56 - 2(29 - 4) + 10 Subtract
= 56 - 2(25) + 10 Multiply
= 56 - 50 + 10 Subtract
= 6 + 10 Add
= 16 Result
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Thank You!
Answered by: ms115
#learnwithbrainly
Calculate the value of x if 72:64=x:16
Answer:
x = 18
Step-by-step explanation:
Set up as proportion and cross multiply to solve:
72/64 = x/16
x = 18
What is the probability that out of 60 lambs born on BaaBaa Farm, at least 35 will be male? Assume that males and females are equally probable, and round your answer to the nearest tenth of a percent.
Answer:
32.1%
Step-by-step explanation:
Out of 60 lambs born on BaaBaa farm, the most amount of 35 to be male? The answer is 32.1% because if you round it to the nearest tenth, The answer will be 32.1%.
Arnie saw a camera priced at £250 in London. He saw
the same camera priced at $297.50 in New York. This
is a 30% saving on the London price. How many
dollars are there to the pound?
Answer:
ok so lets just make this into a equation so
250=0.7*297.50
250=425
so lets just divide by the same amount
10=17
so
1.00 of american money=1.70 of british money
Hope This Helps!!!