Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.
Need the answer ASAP
Answer: 2430 bacteria.
Step-by-step explanation:
When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:
A + (X%/100%)*A
In this case, we have A = 10 bacteria.
And X% = 200%.
Then if we start with 10 bacteria.
After one day, we will have:
10 bacteria + (200%/100%)*10 bacteria
= 10 bacteria + 2*10 bacteria = 3*10 bacteria.
After another day, we will have:
3*10 bacteria + (200%/100%)*(3*10 bacteria)
3*10 bacteria + 2*(3*10 bacteria)
3*(3*10 bacteria)
10 bacteria*(3)^2
We already can see the pattern here.
After t days, we will have:
10 bacteria*(3)^t.
This is the equation f(t) we wanted:
f(t) =10 bacteria*(3)^t
after 5 days, we will have:
f(5) = 10 bacteria*(3)^5 = 2430 bacteria.
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
Let f represent any number in the set of even integers greater than 4. Which
inequality is true for all values of f? *
Answer:
The inequality f ≥ 4n +2 is true for all values of 'f'
Step-by-step explanation:
Explanation:-
Let 'f' represents any number
The set of even integers greater than '4'
f = { 6, 8, 10,12, 14 ,.............}
we have to write the inequality equation
f ≥ 4n +2
Final answer:-
The inequality f ≥ 4n +2 is true for all values of 'f'
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow
Answer: 5/28 left to mow
Step-by-step explanation:
How much is left means we have to subtract the fractions. The easiest to do is subtract using the larger fraction first which is 3/7.
3/7 - 1/4
Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator. In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28. 28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:
3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4. Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28. For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7. Now multiply 7 by the numerator 1 which =7. Now you have 7/28. Now you can subtract and solve for your answer:
3/7 -1/4 converted to:
12/28 - 7/28 subtract numerators 12-7 and keep the same denominator
Ans: 5/28 left to mow
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope
Answer:
length of rope [tex](P+3) =12.167[/tex]
Step-by-step explanation:
From the question we are told that
Length of rope on Ground [tex]L_1=3 feet[/tex]
Length of rope from pole base when stretched [tex]L_2=8feet[/tex]
Given length of pole as P
length of the rope is therefore given by
[tex]P+3[/tex]
Generally the Pythagoras theorem is mathematically given by
[tex]P^2+8^2=(P+3)^2[/tex]
[tex]P^2+64=P^2+9[/tex]
[tex]P=9.167[/tex]
Therefore
length of rope [tex]P=9.167[/tex]
length of rope [tex](P+3) =9.167+3[/tex]
length of rope [tex](P+3) =12.167[/tex]
Calculator
What is the value of x?
8 in.
15 in.
Enter your answer in the box.
5 in
X=
in.
Answer:
x = 24 in
Step-by-step explanation:
The corresponding sides of similar triangle will be in same proportion.
[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]
Step-by-step explanation:
x/15 = 8/5
x = 15 * 8 / 5
x = 24
answer
x = 24 in
PLEASE HELP!!!!
f(x)= {____for____
{____for____
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]
Step-by-step explanation:
The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.
The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.
Then the piecewise definition is ...
f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}
Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Just see what even number 52 can go into
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet
Answer:
2) 25.48
The diameter of the circle d = 25.48
Step-by-step explanation:
Step(i):-
we know that the diameter of a circle d = 2 r
The circumference of the circle = 2π r
Given that the circumference of the circle = 80 feet
Step(ii):-
The circumference of the circle = 2π r = 80
⇒ π (2r )= 80
⇒ πd = 80
⇒ [tex]d = \frac{80}{3.14}[/tex]
d = 25.477
Final answer:-
The diameter of the circle d = 25.477
The sum of the quotients of 25x2/5x and the quotient of 8x2/x is
Plz guys can you guys help me
Answer:
answer B is correct of this question
Answer:I believe the answer is C my dude
Step-by-step explanation:
Is 15 ft 20 ft 24 ft a right triangle
Answer:
No
Step-by-step explanation:
If:
a=15
b=20 then
c (hypotenuse)=25
Answer:
No
Step-by-step explanation:
A right angle is always 90°
u add up all the sides, if it doesn't equal 90 then it's not a right triangle.
so 15 + 20 + 24 = 59 so this is not a right triangle.
Can someone help!!!!
Answer:
12.7=x
Step-by-step explanation:
y=mx+b
10=.65x+1.75
-1.75 -1.75
8.25=.65x
.65 .65
12.69=x round up
12.7=x
QUICK I NEED THIS FOR MATH ITS DUE 2/2/21
what is the area of a parrallelogram that has a base of 12 3/4 and a width of 2 1/2?
Answer
31 7/8
Step-by-step explanation:
12 3/4 x 2 1/2=51/4 x 5/2
Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13
What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27
Answer:
area of rectangle =length ×width
area of rectangle=12yd×15yd
area of rectangle=180yd²
To practice for a competition, Jenna swam 680 meters in the pool each day for 3 weeks. How many kilometers did Jenna swim in those 3 weeks?
Answer:
2.04 km
Step-by-step explanation:
there are 1,000 m in 1 km
she was 680 x 3 meters = 2,040 m
2,040 m = 2.04 km
What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
Let p: A number is greater than 25.
Let q: A number is less than 35.
If p1 is true, then what could the number be? Select two options.
24
28
32
36
40
Answer:
28 and 32 or B And C
Step-by-step explanation:
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 coustomers they serve. About how many apples will they sell in 6 hours if they serve 10 coustomers every hour?
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?
Answer:
i think 1.17 and 0.85
Step-by-step explanation:
A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.
Answer:
The 16-oz bottle is a better buy
Step-by-step explanation:
Find the better buy by finding which one has a lower price per ounce:
Calculate the price per ounce of both bottles by dividing the cost by the number of ounces
5.78/16
= 0.36
3.97/8
= 0.5
Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.
Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.
Can someone please help me on this???I keep messing it up.
Answer:
The answer is B
Step-by-step explanation
As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.
I NEED HELP ( WILL GET BRAINLYIST FOR CORRECT ANSWER)
Answer:
36 units.
Step-by-step explanation:
R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .
Answer:
24
Step-by-step explanation: