Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
Jordan is saving up to buy a new jacket. He already has $60 and can save an additional $6 per week using money from his after school job. How much total money would Jordan have after 6 weeks of saving? Also, write an expression that represents the amount of money Jordan would have saved in ww weeks.
Answer:
Jordan will have $96 in all after 6 weeks of saving.
Expression will be f(w)= 60+ 6w
brainliest please
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
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
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!
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
Help me plssssss il give brainiest
Answer:
Part A: Venti
Part B: (Check the Step-by-step explanation)
Step-by-step explanation:
The unit rate for these drinks is ounce per $.
Tall: 12 oz/$3.55 ≈ 3.38 oz/$
Grande: 16 oz/$4.25 ≈ 3.76 oz/$
Venti: 20 oz/$4.55 ≈ $4.40/oz
Out of all of these, the unit rate for the Venti is the greatest.
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]
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;)
75% of 48 show all the work
Answer:
36
Step-by-step explanation:
75%=0.75
0.75*48=3/4*48=144/4=36
Answer:
75% of 48 is 36.
Step-by-step explanation:
So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.
50% of 48 = 24
Since 25% is half of 50% all we have to do is divide by 2.
24 ÷ 2 = 12.
Now, we multiply by 3.
12 * 3 = 36
So, the answer is 36.
Hope this helps! :)
In Michelle's homeroom, 9/15 of the students ride the bus to school, 4/12 get a car ride,
and 2/30 walk to school. Is the following statement true or false and show your work to
prove how you know. In simplest form, 3/5 of the students ride the bus to school.
Please help me I give 17 points:(
Answer:
74
Step-by-step explanation:
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]
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
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
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.
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
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
Solve the equation 52 - 3.5y - 4y = 4y + 6.
Answer:
5.04
Step-by-step explanation:
=> 52 -3.5y -4y = 4y -6
Take everything with y to left and numbers to right
=> -3.5y -4y -4y = -52 -6
=> -11.5y = -58
=> 11.5 y = 58
=> y = 58/11,5= 5.04
-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)
A fern grows 7/9 of a foot per year. How much will it grow in 5 years
Answer:
46.6 inches in 5 years
Step-by-step explanation:
Answer: 46.6 inches in five years
Step-by-step explanation:
SO you wanna multiply 7.9 by 5 to get your grand total
Can somebody help me Graph y=-3/2X-3???
Step-by-step explanation:
try desmos its a life saver
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]
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.
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.
Estimate the sum of 412.02 and 513.87 to the nearest whole number?
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
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
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
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]
Today, 8 friends went out for lunch. Their total bill was $68.35, including tax and gratuity. One of them ordered only soda and needed to pay only $1.78.
The other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
sil