Answer:
The largest is 25.
Step-by-step explanation:
If the first integer is x, the second is x+1 and the third is x+2.
When you multiply the largest by 4: (x+2)*4
It is 31 more than 3 times the smallest: (x+2)*4 = (x)*3+31
When you simplify you get : 4x+8 = 3x+31
Which means: x = 23
But since you want the largest you get: 23+2 = 25
The greatest of the three consecutive odd integers will be [tex]19[/tex].
What are integers ?Integers are whole numbers that can be positive, negative and zero.
We have,
Let first integer [tex]= x[/tex]
Second integer [tex]= x+2[/tex]
Third integer [tex]= x+4[/tex]
Now,
According to the question,
[tex]4(x+4) = 3(x)+31[/tex]
Simplifying;
[tex]4x+16=3x+31[/tex]
Taking [tex]x[/tex] variable on one side and constant on the other;
[tex]4x-3x=31-16[/tex]
[tex]x=15[/tex]
So,
Now substitute the value of [tex]x[/tex] in every integer's equation,
i.e.
First integer [tex]= 15[/tex]
Second integer [tex]= 17[/tex]
Third integer [tex]= 19[/tex]
So, the greatest of the three consecutive odd integers is [tex]19[/tex].
Hence, we can say that the greatest of the three consecutive odd integers will be [tex]19[/tex].
To know more about integer click here
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New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
4/7 + 1/5 =
Show full steps
Topic: Adding fractions
Answer:
27/35
write all numerators above the LCD 35
20 + 7 over 35
add the numerators
The answer is in the two images below and one of them shows step-by-step on how to solve it.
Hope this helps my friend! :)
Which situation represents a proportional relationship?
Answer:
So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.
What is the approximate area of rectangle ABCD?
Answer:
I think it's 158
Step-by-step explanation:
Answer:
158
Step-by-step explanation:
The formula for the area of a rectangle is A = bh.
A train covered first 120 km at a speed of 20 km an hour and then covered
the remaining 180 km at a speed of 45 km an hour. Find its average speed.
stap by step explanation
Answer:
Ans 30 km per hour............
what answer is it GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
The product mean multiplication
please help me with the question
Answer:
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Step-by-step explanation:
Point-slope form of equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]
Hence,
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Help me please!!!!!!
Answer:
1. Equatoin = y = 2/9x + 1 Slope = 2/9 Y- interpects= 1
2.Equatoin = y= 7/5x - 7 Slope = 7/5 Y- interpects= 7
Step-by-step explanation:
Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
A field has an area of 64400m^{2} .
Calculate the area of the field. On the map in cm^{2} .
PLEASE HELP ME TO SOLVES IT SOON!
Answer:
[tex]644,000,000\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]
[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A Green grapes
B) Red grapes
They are both the same price
Answer:
Green grapes are less expensive.
Step-by-step explanation:
5.08/2 = 2.54
Multiply that by 5
You get $12.70 for 5 bags.
Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?
what is the solution to the system of equations graphed below
Answer:
A. (-2, 1)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
Answer is:
A.
(-2, 1)
Circle theorems help please
Answer:
maybe 15 is the answer so
Answer:
x = 75°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc.
The angle at the centre is
360° - (285 - x)
= 360 - 285 + x
= 75 + x
Thus
x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction
2x = 75 + x ( subtract x from both sides )
x = 75°
ASAP!! WILL MARK BRAINLIEST!!
Is it a right triangle ??
Please help I will give brainliest!!
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
find the aspect ratio width/length of a ping-pong table which is 108 inches long and 5 feet wide. If child's
ping-pong table has the same aspect ratio and it has a width of 3 feet, how long is the table in inches.
[tex]3x+42=75[/tex]
Have a happy holiday!
Answer: X=11
thank you!!! happy holidays!! :}
Answer: x=11
Step-by-step explanation: 3x+42=75
Step 1: Subtract 42 from both sides.
3x+42−42=75−42
3x=33
Step 2: Divide both sides by 3.
3x
3
=
33
3
x=11
I need The rate of change
Answer:
m=4
Step-by-step explanation:
To find the average rate of change, you have to calculate the change in y over x which gives you 4
The average time a human being can hold their breath underwater is 1 minute. A hippo can hold its breath underwater for at least 5 times as long as a human. Write an inequality that represents how long a hippo can hold its breath underwater.
Answer:
Average breath hold time by hippo under water ≥ 5 minutes
Step-by-step explanation:
Average time by human = 1 minute
Average time by hippo = ≥ 5 times human
Since average human breath hold time = 1 minute
Average breath hold time by hippo = 5 * 1 minute
Average breath hold time by hippo under water ≥ 5 minutes
On a timer please help
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answer: a
Step-by-step explanation: edge 2020
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in the school play?
Answer:
12 males
Step-by-step explanation:
3:8= 8 is for male
32÷8= 4
4×3= 12 males
hope it helps!
In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left
Answer: 25 ways.
Step-by-step explanation:
first we have 1,2,6. this can appear once.
4, can appear in twice.
3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]
by not including itself, an appearing on the left side. one number can be written 25ways
Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?
Answer:
100*150=15000 calories
Step-by-step explanation:
100 times 150 is 15000 because you are multipling 2 people
I don't know if it is correct
just check and if it isn't then check some one elses work.
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
Evaluate the expression 3r^2 if r = 1/6.
Answer:
0.08333
Step-by-step explanation:
3(1/6)^2
1/6=0.1666
1/6^2=0.02777
3*0.02777=0.08333
Answer:
1/12
Step-by-step explanation:
This is the answer because:
1) 1/6^2 = 1/36
2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12
Therefore, the answer is 1/12.
Hope this helps! :D
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation
Answer:
$360
Step-by-step explanation:
Let the amount that she earned on the paycheck be represented by x
Hence,
15% of x = $54
Therefore:
15/100 × x = $54
15x/100 = $54
Cross Multiply
15x = $54 × 100
15x = $5400
x = $5400/15
x = $360
Therefore, the amount that she earned on that paycheck = $360
To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))
Answer:
Awwww
Step-by-step explanation:
Thank you! I hope you know that as well :). I really needed that today so thank you