Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation correctly to show about how much money the team spent?
Answer:
$416
Step-by-step explanation:
From the above question,
Total number did people in a team = 13 girls
Uniform of each member of team = $32
The amount of money the team spent can be calculated as:
$32 × x
Where x = Number of people on the team = 13
The amount spent = $32 × 13
= $416
The amount the team spent is $416
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
Daniel and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Daniel sold 5 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $74. Lisa sold 1 roll of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $58. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper
Answer:
P = 4 & H = 18
Step-by-step explanation:
Daniel : 5 plain paper + 3 holiday paper = 74, 5P + 3H = 74 . Lisa : 1 plain paper + 3 holiday paper = 58, P + 3H = 58 . Solving two equations, P = 4 & H = 18
A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
(I BEG U TUTORS HELP) the value if x=9 a solution to the system of equations shown below. Where b is some unknown constant. Determine the value of b. Show how you arrived at your answer
y=2x-20
y= -5x+b
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
Can someone help me?
Which graph represents f(x) and the inverse f^-1(x)
Answer:
D
Step-by-step explanation:
The inverse or f⁻¹(x) of a function f(x) is the graph being reflected over the line y = x.
For A, f(x) is reflected over the x-axis.
For B, f(x) is rotated about a point.
For C, f(x) reflected over the y-axis.
And for D, f(x) is reflected over the line y = x.
So, the graph that represents f(x) and its inverse f⁻¹(x) is choice D.
Please help due ASAP .....
Answer:
y = 4x - 9
Step-by-step explanation:
Same slope, so they're parallel
7. Is the Graph a Function? *
Answer:
I believe it is a function because there are 2 points passing through the x-axis
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
when you use the vertical line test it goes through only 1 line, so that means it's a function
The Perimeter of the scalene triangle is 54.6cm
Which equation can be
used to find the value of b if side a measures 8.7 cm?
a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6
Answer: B. 17.4+b=54.6
Step-by-step explanation:
Edgen 2023
The equation can be used to find the value of b is 54.6 = 34.8 + b.
We have,
The border of the triangle is54.6 cm
and side a = 8.7 cm,
So, Perimeter = sum of the lengths of the three sides
54.6 = a + 3a + b
54.6 = 4a + b
We know a= 8.7 then
54.6 = 4(8.7) + b
54.6 = 34.8 + b
Therefore, the needed equation is54.6 = 34.8b.
Learn more about Perimeter here:
https://brainly.com/question/7486523
#SPJ6
2
3
15
Is the unknown value in 3
15
the same as the unknown value in z
Part 1 out of 2
The unknown value in both ratios ?
the same.
Check
Next
6467 ytgychuuht6ctctcrxrctfctcyg
I need help with these 2.
please help me . need your help .
Answer:
23.3 cm
Step-by-step explanation:
use Pythagoras Theorem
length BD= 16²+10²= 356
√356= 18.9 cm
length DH= 30²-18.9²= 542.8
√542.8= 23.3 cm
DH=AE
Hence, AE= 23.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, i will follow u back
Answer: yes
Step-by-step explanation:
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and thet continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour. What is the rate in kilograms per hour at which they walked to school
Answer:
4 km/hr
Step-by-step explanation:
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and they continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour.
Let
the rate of the speed at which they walked to school be represented by r
Distance to school for Sasha = Distance to school for Hannah
Distance = Speed (rate × time)
Hence:
0.6r = 0.45r + 0.6
Collect like terms
0.6r - 0.45r = 0.6
0.15r = 0.6
r = 0.6/0.15
r = 4 km/hr
The rate in Kilometer per hour at which they walked to school is 4km/hr
Over a period of 3 hours, 190 leaves fell from a tree. At this rate, about how many leaves fell every hour?
Answer:
Im pretty sure its 60 leaves per hour.
What is the equation of a line with Point A(0, 4) and Point B(2,-6) ?
9514 1404 393
Answer:
y = -5x +4
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-6 -4)/(2 -0) = -10/2 = -5
The point (0, 4) tells you the y-intercept is b = 4. So, the equation in slope-intercept form is ...
y = mx +b . . . . . where m is slope and b is y-intercept
y = -5x +4
ISABELRAINBOW PLEASE ANSWER BOTH THESE
BAHAHA I SAW MY NAME AND GOT SO SCARED
1st problem: 6/y^4
first, we express it with positive exponents.
6 x 1/y^4
then, we just calculate it.
6/y^4
2nd problem: (1/64)a^7 (the a^7 isn't just on the bottom part, it goes in the front of the fraction)
first, i expressed it with a positive exponent.
1/8^2 x a^7
then, i evaluated that.
(1/64)a^7
please help me i need to turn in assignment!!!!! i will mark the answer brainliest. plz be descriptive!!!
Answer: D. 150
Step-by-step explanation:
Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.
Consider [tex]3(3x-10)=5(x+10)[/tex]
[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]
Now, perimeter of pentagon = 5(x+10) = 5 (20+10)
= 5(30) = 150
Hence, option D is correct.
The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:
Apple size: small medium large
1/3 cup 1/2 cup 3/4 cup
Answer:
uhhhhh 75
Step-by-step explanation:
help please i rlly need the answers as soon as possible
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
5(4x-10)+10x = 4(2x-3)+ 2(x-4)? is equal to - 7/4 or - 1/4 or 3/20 or 3/2 ?
Answer:
x is equal to 3/2
Step-by-step explanation:
Let's solve it!
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
expand:
20x - 50 + 10x = 8x - 12 + 2x - 8
group like terms:
30x - 50 = 10x - 20
factor out common multiples:
3x - 5 = x - 2
group terms again:
3x - x = -2 + 5
2x = 3
and divide both sides by two:
x = 3/2
Jerry is getting ballons for his fathers bday party if he wants each ballon string to be 9 feet long if it is sold by the yard and jerry wants 63 ballons how much yards of string will he bneed
Answer:
567
Step-by-step explanation:
63 x 9
is it Min or Max
help me pls
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
Which two operations are needed to wrte the expression that represents Fournes heerence of a number and three? mult cation and subtraction Komision and subtraction Cmu tip cation and addition division and addition
Answer:
CMU+the curcumin of three is Fournes
Step-by-step explanation:
Which inequality is true when x=7 ?
A
x + 6 ≥≥ 18
B
x - 6 >> 18
C
11 - x ≤≤ 18
D
11 + x << 18
The two polygons are similar. Find measure of angle C
Answer: the answer is 48
Step-by-step explanation:
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?1.Select allequations that represent the situation.
a.4⋅25=?
b.?⋅25=4
c.25÷4=?
d.4÷25=?
e.?÷25=
A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?
Answer:My answer would be 2052
Step-by-step explanation:
513 X 4=2052
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm