Answer:
Step-by-step explanation:
huh
what is this
does country matter with like the currency
K/4 < -4
What could k be???
Answer:
-17
Step-by-step explanation:
-17/4 = -4.25
and 4 is greater than that, so i think
K = -17
Ann borrowed $3000 from a lender that charged simple interest at an annual rate of 7% When Ann paid off the loan, she paid $420 in interest. How long was the loan for, in years?
Answer:
it was a 2 year loan with $210 contributed each year
Step-by-step explanation:
you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for
The classroom rug is 9 feet long and has an area of 72 square feet. What is the perimeter of the rug?
Answer:
34 Ft.²Explanation:
Area = width · length
The length of the rug is 9 feet. We need to find the width.
72 ÷ 9 = 8
Check to see if this is correct: width (8) · length (9) = area (72)
Now add the length and width together two times since a rug has 4 sides
8 + 8 + 9 + 9 = 34
The perimeter of the rug is 34 ft.²
Jeffrey has an aquarium in the shape of a rectangular prism. He is going to place a layer of sand over the base for his iguana. The area of the base of the aquarium can be represented by the expression (42x3−14x2+21x) feet3. If the width of the aquarium is represented by the expression (7x) feet, what is the length of the aquarium?
Answer:
[tex]Length = 6x^2 - 2x + 3[/tex]
Step-by-step explanation:
Given
[tex]Area = 42x^3 - 14x^2 + 21x[/tex]
[tex]Width = 7x[/tex]
Required
Determine the length of the aquarium
The area of a rectangular base is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Width
[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]
Make Length the subject
[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]
Factorize the numerator
[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]
[tex]Length = 6x^2 - 2x + 3[/tex]
An infinite number of ratios are equivalent to 3:8. How
can that be possible, when the multiplication table only
goes to 9?
Answer:
See below, please!
Step-by-step explanation:
There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.
For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?
Hope this helped!
Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour
Answer:
6/8 of a chapter
Step-by-step explanation:
3/8 = 1/2 of an hour
1/2 + 1/2 = 1
Basic Fact ^^
So, we need to add 3/8 + 3/8 or 3/8 x 2
We get : 6/8
He didn't read a whole chapter but he did read 6/8 of a chapter.
Answer:
Step-by-step explanation:
There are 60 min in an hour - 1/5 of an hour=20mim
3/8 x 5 = 15/8 = 1 & 7/8 chapters
Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden
Given:
Brianna had a garden Box that is 8' by 12'.
She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].
To find:
The area of her new garden.
Solution:
Let the length and width of the original garden are 8 ft by 12 ft respectively.
Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].
Length of the new garden is
[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]
Width of the new garden is
[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]
Now, the area of the new garden is
[tex]Area=Length\times Width[/tex]
[tex]Area=(4)\times (6)[/tex]
[tex]Area=24[/tex]
Therefore, the area of the new garden is 24 sq. ft.
Find the distance between the two points in simplest radical form.
(0,8) and (4,0)
9. Given: TE = GH, EF = HF,
Proof
Fis the midpoint of GI
Prove: AEFI > AHFG
G
10. G
Proof
PE
E
ZE
H
Souljem
Step-by-step explanation:
souljem yes yes yes
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many miles did Mike travel by taxi on his ride?
Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305
bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony
when he returns 24 hours later?
Answer:
After next 24 hours, bacterial population would be [tex]1433[/tex]
Step-by-step explanation:
The initial bacterial count at time = 0 was [tex]100[/tex]
At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]
At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]
As we know that
[tex]P = P_0 * e^{rt}[/tex]
The growth rate of bacterial population is equal to
[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]
Substituting the above values we get -
[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]
Count of bacteria after next 24 hours
[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]
member owes $16.00 and pays $20.00 in Cash. The change due is $3.50.Provide the amount owed using the smallest number of bills and coins possible
Answer:
10 dollar bill, 5 dollar bill, and one dollar.
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
10. If log10x = 1 + a and log10y = 1 – a, show that xy = 100.
How?
Step-by-step explanation:
log x = 1 + a
a = log x - 1
log y = 1 - a
a = 1 - log y
So
log x - 1 = 1 - log y
log x + log y = 2
log (xy) = 2
xy = 100
Find the difference
(4y+3)-(y-2)
need it quick
Answer: 3y+5
Step-by-step explanation: 4y+3−(y−2)
4y+3+−1(y−2)
4y+3+−1y+(−1)(−2)
4y+3+−y+2
(4y+−y)+(3+2)
3y+5
and please explain how you got the answer :)
Answer:
8. 548.9 9.349.3
Step-by-step explanation:
10% of 499 is 49.9
30% of 499 is 3*49.9=149.7
499+49.9=548.9
499-149.7=349.7
Express each ratio as a fraction in simplest form. 3 pints to 4 quarts.
Answer:
3/4
Step-by-step explanation:
that's as simple as it gets
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
HELP ME PLEASE! I need this !
Answer:
Step-by-step explanation:
[tex](3x+7)8x^2\\ \\ 3x(8x^2)+7(8x^2)\\ \\ 24x^3+56x^2[/tex]
4 less than a number equals 12.
Answer:
16 brainliest?
Step-by-step explanation:
What operation does 6y represent?
Multiplication
Subtraction
Addition
Division
Answer:
multiplication
Step-by-step explanation:
whenever a number and a variable are together it means they are being multiplied together
Answer:
6y represents Multiplication.
A rectangular honeycomb measures 35.1 cm by 32.4 cm. Approximately how many cells does it contain?
Answer:
1,137.24
Step-by-step explanation:
Every worksheet is made up of thousands of rectangles, which are called cells. A cell is the intersection of a row and a column—in other words, where a row and column meet. Columns are identified by letters (A, B, C), while rows are identified by numbers (1, 2, 3).
So all you do is multiply like if you were finding the area:
35.1 x 32.4 = 1137.24.
Estimate the sum of 412.02 and 513.87 to the nearest whole number?
Choose the correct classification of 3x^2 + 2.
A) cubic binomial
B) quartic trinomial
C) quadratic binomial
D) quintic polynomial
Answer:
The answer is C. Quadratic Binomial
Can anyone solve ? This one is beyond me
Answer:
[tex]Rate = 0.13[/tex]
Step-by-step explanation:
Given
[tex]y = \sqrt[3] x[/tex]
Required
Determine the average rate of change over [2,7]
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]b = 7[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]Rate = \frac{f(7) - f(2)}{7-2}[/tex]
[tex]Rate = \frac{f(7) - f(2)}{5}[/tex]
From the table:
f(7) = 1.91
f(2) = 1.26
[tex]Rate = \frac{1.91 - 1.26}{5}[/tex]
[tex]Rate = \frac{0.65}{5}[/tex]
[tex]Rate = 0.13[/tex]
If you have two horse pastures, one is. 25 feet by 45 feet and the other is 40 feet by 60 feet, what is the perimeter of the two horse pastures together? Only the perimeter;)
12
A model maker wants to make a model of a
ship
He will use a scale of 1:50
The ship was 100ft long
1 foot = 0.3 m
How long will the ship be in cm?
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
The model ship will be x feet long, where ...
x/100 = 1/50
x = 100/50 = 2
In meters, that is ...
2(0.3 m) = 0.6 m
A meter is 100 cm, so the length in centimeters is ...
(0.6)(100 cm) = 60 cm
-15 - 4x = -11
help please?
Answer:
if ur solving for x the answer is x=-1
Step-by-step explanation:
-15 - 4x = -11
=> -4x = -11 + 15
=> -4x = 4
[tex] = > x = \frac{4}{ - 4} [/tex]
=> x = -1 (Ans)
Graph x<29 on a number line
Answer:
plot it 2 higher ticks then the zero. hope this helps
Step-by-step explanation:
it should look like this
Can somebody help me Graph y=-3/2X-3???
Step-by-step explanation:
try desmos its a life saver