Given figure is a rectangle.
The rectangle is of length d in and width 3 in.
Therefore, its area is 3d square inches.
Accordingly,
\(\begin{gathered} 3d=21 \\ d=7 \end{gathered}\)Hence, the value of d is 7.
Please help me!!!! DO NOT SEND LINK!
Answer:
250 min
Step-by-step explanation:
90-75=15
15/ 0.06= 250
250 minutes per month
Choose the number sentence whose product is 5.85. A. 1.7 x 3.5 B. 26 x 2.25 C. 4.5 x 2.3 D. 1.3 x 4.5
Answer:
b
Step-by-step explanation:
Answer:
The actual right answer is D
Step-by-step explanation:
1.3 x 4.5 = 5.85
answer = D
what is the difference of -25 and -125?
Answer:
100
Step-by-step explanation:
Use the product notation to rewrite the following expression. (t − 6) · (t2 − 6) · (t3 − 6) · (t4 − 6) · (t5 − 6) · (t6 − 6) · (t7 − 6) = π7k = 1
The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
As per the question, we can write the expression as:
(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)
Using product notation, we can write this as:
Π⁷k =1 \((t^k - 9)\)
where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.
Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
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Determine the amplitude or Period as requested.
Period of y= -2 sin x
amplitude: 2
period: 2pi
The equation for a sin function is:
\(y = a \sin(b(x - c) ) + d\)
a = the amplitude
b = the period
c = the horizontal shift
d = the vertical shift
the equation to find the period of a sin function is:
\(period = \frac{2\pi}{b} \)
note: the amplitude is always a positive number, if there is a negative sign in front of it then that means it reflects over the x-axis.
lena is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges and allows unlimited mileage. company b has an initial fee of and charges an additional for every mile driven. for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Therefore, company A will charge less than company B for any mileage greater than 65 miles.
To help you with your question, I need the specific prices for both companies, as well as any additional information you can provide about the charges.
To solve for the mileages at which company A will charge less than company B, we can set up the following inequality:
A < B
where A is the cost of renting from company A and B is the cost of renting from company B. We can plug in the given information to get:
x ≤ A
x > B = y + 40z
where x is the number of miles driven, y is the initial fee for company B, and z is the additional cost per mile for company B.
Now we can substitute the given values to get:
x ≤ A
x > y + 40z
For company A, the cost is a flat rate with unlimited mileage, so A is just the cost listed for one day of rental. Let's say that cost is $100.
For company B, the initial fee is $50 and the additional cost per mile is $0.25. So:
y = 50
z = 0.25
Now we can plug in these values and solve for x:
x ≤ 100
x > 50 + 40(0.25)
x > 65
Therefore, company A will charge less than company B for any mileage greater than 65 miles.
To help you with your question, I need the specific prices for both companies, as well as any additional information you can provide about the charges.
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Find the solution to each system please show your work!
Answer:
infinite number of solutions
Step-by-step explanation:
x + y = 1 → (1)
3y = - 3x + 3 ( add 3x to both sides )
3x + 3y = 3 ( divide through by 3 )
x + y = 1 → (2)
since the 2 equations are the same, this indicates the system has an infinite number of solutions
Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance
Answer:
\(Maintenance = 55\%\)
Step-by-step explanation:
Given
\(Time = 40\ hours\)
\(Register = 15\%\)
\(Greetings = 30\%\)
Required
Percentage of time spent in maintenance;
From the given parameters,She spends the rest of her time in maintenance;
This implies that
\(Register + Greetings + Maintenance= 100\%\)
Substitute 15% for Register and 30% for Greetings
\(15\% + 30\% + Maintenance= 100\%\)
\(45\% + Maintenance= 100\%\)
Subtract both sides by 45%
\(45\% - 45\% + Maintenance = 100\% - 45%\)
\(Maintenance = 100\% - 45%\)
\(Maintenance = 55\%\)
Hence, the percentage of time spent in Maintenance is 55%
Solve for m 5m+35=70
Answer:
m=7
Step-by-step explanation:
subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.
Answer: m=7
Step-by-step explanation:
\(5m+35=70\)
subtract 35 on both sides
\(5m+35-35=70-35\)
\(5m=35\)
divide 5 on both sides
\(35/5=7\)
\(m=7\)
PLZ HELP!!!!!!
(06.05 MC)
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answer:
A: 39.1304348% OR 39%
B: 33.3%
Step-by-step explanation:
Part A:
find the total amount of children: 90+20+80+40=230
90-20=50
i got this from taking away the amount that like watching tv and not reading so from this you know 50 of those 90 that like watching tv also like tv and reading.
80-40=40
(same explanation as 90-20=50)
then do 50 +40 which equals 90
now you need to turn it into a percentage.
90/230=
9/23
=39.1304348%
if you need round it, do so!
Part b:
40+20=60
20/60= 2/6
=1/3
=33.3%
Write 1/b9 in standard exponential form
Answer:
Step-by-step explanation:
exponent on 1 is 9
Jane needs $20 to buy her radio. She has saved $15.
What percent of the cost of the radio has she saved?
A. 35%
B. 60%
C. 70%
D. 75%
E. 80%
Answer: i think it's 75
Step-by-step explanation: because 5 is half of 10 and 10 is half it makes 75
Answer:
Step-by-step explanation:
75
y=600(0.75)^x
growth or decay by what precent?
The function f(x) = 600(0.75)^x. is a decay function by 25%
How to graph the function?The equation of the function is given as
f(x) = 600(0.75)^x.
The above function is an exponential function
An exponential function is represented as
y = ab^x
When f(x) = 600(0.75)^x. and y = ab^x are compared, we have
b = 0.75
The value of b in this case is the factor
Also if b is less than 1, then the function is a decay function
0.75 is less than 1
So, the function represents a decay function
The decal percentage is then calculated as
Decay = 1 - b
So, we have
Decay = 1 - 0.75
Evaluate
Decay = 25%
Hence, the function is a decay function
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Peace park sets up an outdoor ice-skating rink each winter. yesterday afternoon, there were 5 skaters who brought their own skates for every 3 skaters who rented skates.
if there were 12 more skaters who brought their own skates than skaters who rented skates, how many skaters were there altogether?
According to the ratio 5:3 the skaters that were altogether are 48.
What is ratio?
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
The number of skaters who brought their own skates = 5
The number of skaters who rented their skates = 3
So, the ratio is 5:3.
The number of skaters who brought their own skates = 12
Now equating to get the number of total skaters -
12 x (5+3) / (5-3)
= 96 / 2
= 48
Therefore, the total number of skaters are 48.
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Art Club. He then made a scale drawing of his original painting to create a similar rectangular poster. He used a scale factor of 4/5 to create the rectangular poster. If the perimeter of the smaller rectangle is 45 centimeters, what is the perimeter of the larger rectangle?
The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.
What is meant by the perimeter of a figure?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.
Given,
the scale factor = 4/5
The perimeter of the smaller rectangle = 45 cm
We are asked to find the perimeter of the larger rectangle(x).
Here both the rectangle are similar figures.
So the scale factor is the ratio of their corresponding sides.
But since the perimeter of a rectangle is the sum of the length of its sides.
The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.
Perimeter of small rectangle/Perimeter of large rectangle = 4/5
45/x = 4/5
x = 45 * 5 / 4 = 56.25cm
Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.
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What is the value of x in the equation below?1+2e^x+1=9a). x=log4-1b) x=log4c). x=Ln4-1d). x=ln4
The -1 part is not inside the natural log.
==============================================
Work Shown:
1 + 2*e^(x+1) = 9
2*e^(x+1) = 9-1
2*e^(x+1) = 8
e^(x+1) = 8/2
e^(x+1) = 4
x+1 = Ln(4)
x = Ln(4) - 1
John and Scott are selling cheesecakes for a school fundraiser. customers can buy new york style cheesecake and so apple cheesecake. John sold 7 new york style cheesecakes and 4 apple cheesecake for a total of $116. Scott sold 8 new York style cheesecake and 12 apple cheesecakes for the total of$244. Find the cost of each of one New York style cheesecake and one apple cheesecake.
Let
x
represent the
price of one New York style
cheesecake
and
y
the price of
one apple cheesecake
. Based on the information provided, we can construct two equations:
7x + 4y= 116
8x + 12y = 244
We can
solve
for
x
in terms of
y
using the first equation:
7x= 116-4y\sx= (116-4y) / 7
When we plug this expression into the
second equation
for
x
, we get:
8[(116 - 4y) / 7] + 12y = 244
To
eliminate
the fraction,
multiply both sides by 7
.
8(116 - 4y) + 84y = 1708
Extending the parentheses and combining similar terms yields:
928-32y + 84y= 1708
When we simplify, we get the following:
52y = 780
When we
divide both sides by 52
, we get:
y = 15
We now know that
y = 15
; we can use either of the original equations to solve for x:
7x + 4(15) = 116
7x = 56
x = 8
Therefore, one
New York cheesecake costs $8
, and
one apple cheesecake costs $15
.
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What set of numbers could be the side lengths of a right triangle ?
Answer:
I think it's A 3,4,6 could be the length of the triangle
Use the interactive number line to find each sum to complete the table.
A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled a + b with entries 3, R, S, T.
R =
S =
T =
Answer:
R= -3
S= -3
T= -9
Step-by-step explanation:
i got this right
The required sum using the interactive number line is R = -3, S = -3, and T = -9.
Given a table of the form:
a b a+b
1 2 3
-1 -2 R
-4 1 S
-6 -3 T
It is required to find the value of R, S, and T.
R = -1 + (-2) = -1 - 2
That is on a number line, -1 is taken 2 units to the left.
Then the point is -3.
So, R = -3.
S = -4 + 1
Here, -4 is taken 1 unit to the right.
Then the point is -3.
So, S = -3
T = -6 + (-3) = -6 - 3
Here, -6 is taken 3 units to the left.
Then the point is -9.
So, T = -9
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Determine whether the equation is true or false. sum x=2 ^ 8 (2n-3)= sum n=3 ^ 9 (2m-5)
Answer: true
Step-by-step explanation:
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
Write the function rule g(x) after the given transformations of the graph of f(x) = 6x.
reflection in the x-axis; vertical compression by a factor of
2
g(x) =
Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.
Given Data
f(x) = 6x
The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.
The final function rule will be; if the resulting function is compressed by a factor of 1/12.
g(x) = 1/12(-6x)
g(x) = -1/2x
Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.
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A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television
Answer:
$2250
$2430
Step-by-step explanation:
If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price
let t = cost price of the television
the following equation can be derived
1.2 x t = $2700
divide both sides by 1.2
t = $2250
If there is a 10% discount, the television is (100 - 10%) 90% cheaper
0.9 x 2700 = $2430
What is the mean daily snowfall 8,3,12,1,1
Answer:25
Step-by-step explanation:
1. you place the numbers in order from least to greatest so 1,1,3,8,12
2. then you add those all up
3.then you divide how many numbers there are together
1+1+3+8+12=25
then you divide by 5 because that's how many numbers are shown for the daily snow fall
HOPE THIS HELPS
The surface area of the square pyramid is 16 square inches. Find the value of x.
x=
Answer:
2^2 + 4(1/2)(2)x = 16
4 + 4x = 16
4x = 12, so x = 3
A few times a week, Scott treats himself to a small latte from his favorite coffee shop. Each
latte costs $3.55. If Scott bought 15 lattes last month, how much did he spend?
Answer:
$53.25
Step-by-step explanation:
Suppose you earn $8 per hour at your
part-time jo. What will your new hourly
rate be AFTER a 15% raise.
how many ways can the letters of a word be arranged in a row if two letters must remain next to each other
To determine the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other, we can treat these two letters as a single unit. Therefore, the problem reduces to finding the number of ways to arrange this new "unit" and the remaining letters.
So, to answer the question directly, the number of ways that the letters of a word can be arranged in a row if two letters must remain next to each other is (n-1) x 2!
To solve this problem, we will treat the two letters that must remain next to each other as a single unit, and then find the total number of arrangements. Here's the step-by-step explanation:
1. Combine the two letters that must remain next to each other into a single unit. This will temporarily reduce the total number of items to arrange by one.
2. Count the total number of items (including the combined unit) that you need to arrange.
3. Calculate the factorial of the total number of items. This will give you a number of ways to arrange these items in a row.
4. Finally, since the two letters inside the combined unit can be arranged in two ways (either the first letter comes first or the second letter comes first), multiply the result from step 3 by 2.
By following these steps, you will get the total number of ways the letters of a word can be arranged in a row with the constraint that the two specified letters must remain next to each other.
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if right ill give brainly
Answer:
3 r 44
51+51=102
102+51=153
197-153=44
44 does not go into 51 as a whole number, leaving it as a remainder.
Answer:
3 r 8
Step-by-step explanation:
When you divide 197 by 51 you get 3 r 8. Hope it helped!! :]
Question 2 Which is NOT the method that can be used to show congruency of two triangles? a) SSS b) ASA c) SAS d) SSA 0) None of the above Review Question3 ASATABFE by the HL method mZ AST 48 and m FEB 3x Find x.
Answer:
NO.2- SSA is not the method to show the congruency of two triangles.