Answer:
Scale factor of 1
Step-by-step explanation:
A scale factor is a number in which the length of every segment of an original figure is multiplied by to get a new figure similar to it.
A scale factor that is less than 1 would give us a new figure that is reduced and smaller than the original figure. On the other hand, if the scale factor is greater than 1, the new figure would be an enlargement if the original figure.
However, a scale factor = 1 will give us a figure that is congruent to the original figure. No enlargement or reduction in the original size. The figure it image remains the same.
At a carry-out pizza restaurant, an order of 3 slices of pizza, 4 breadsticks, and 2 juice drinks costs $13.35. A second order of 5 slices of pizza, 2 breadsticks, and 3 juice drinks cost $19.50. If four breadsticks and a juice drink cost $.30 more than a slice of pizza, what is the cost of each item?
Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25
Step-by-step explanation:
Let P represent the cost of a slice of pizza
and B represent the cost of breadstick
and J represent the cost of a juice drink.
EQ1: 3P + 4B + 2J = 13.35
EQ2: 5P + 2B + 3J = 19.50
EQ3: 4B + J = P + 0.30 --> P - 4B - J = -0.30
Let's eliminate B from EQ1 and EQ2 to form EQ4:
3P + 4B + 2J = 13.35 → 1(3P + 4B + 2J = 13.35) → 3P + 4B + 2J = 13.35
5P + 2B + 3J = 19.50 → -2(5P + 2B + 3J = 19.50) → -10P - 4B - 6J = -39.00
EQ4: -7P -4J = -25.65
And eliminate B from EQ1 and EQ3 to form EQ5:
3P + 4B + 2J = 13.35
P - 4B - J = -0.30
EQ5: 4P + J = 13.05
Now, eliminate J from EQ4 and EQ5 to solve for P:
-7P - 4J = -25.65 → 1(-7P - 4J = -25.65) → -7P - 4J = -25.65
4P + J = 13.05 → 4(4P + J = 13.05) → 16P +4J = 52.20
9P = 26.55
÷9 ÷9
P = 2.95
Plug in P = 2.95 into EQ4 or EQ5 to solve for J:
EQ5: 4P + J = 13.05
4(2.95) + J = 13.05
11.80 + J = 13.05
J = 1.25
Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:
EQ3: 4B + J = P + 0.30
4B + 1.25 = 2.95 + 0.30
4B + 1.25 = 3.25
4B = 2.00
B = 0.50
Check (since we used EQ3 to find B, use either EQ1 or EQ2):
EQ2: 5P + 2B + 3J = 19.50
5(2.95) + 2(0.50) + 3(1.25) = 19.50
14.75 + 1.00 + 3.75 = 19.50
19.50 = 19.50 [tex]\checkmark[/tex]
Can someone teach me how to do number 16???
Answer:
x=0
Step-by-step explanation:
it tells you that
∠LKJ=169
∠SKJ=x+95
∠LKS=74+2x
and by the figure we know that
∠LKJ=∠LKS+∠SKJ
so we have
[tex]169=x+95+74+2x\\\\169=3x+169\\\\169-169=3x\\\\0=3x\\\\x=0[/tex]
LKS + SKJ = LKJ
Substitute the numbers into the equation above.
74 + 2x + x + 95 = 169
Combine like terms
3x + 169 = 169
Subtract 169 from both sides
3x = 0
Divide both sides by 3
x = 0
SKJ = x + 95 = 0 + 95 = 95
LKS = 74 + 2x = 74 + 2(0) = 74 + 0 = 74
LKJ = 169
LKS + SKJ = LKJ
74 + 95 = 169. This proves that x = 0
Seventh grade
Which of the following describe 16.2? Select all that apply.
natural
number
whole number
integer
rational
number
The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number and let y represent the second number. If the table will be used to guess and check, what should the equation be at the top of the last column? Numbers у x+y=44 ? O4 = 3-4x O y=4X-3 Oy=4-3x O Y=3X-4
Answer:
O4 = 3-4x
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
got 100 on test on edge
A line is drawn so that it passes through the points (3, 4) and (0, 5) . What is the slope of the line?
Answer:
-1/3
Step-by-step explanation:
Y2-Y1 plug in 5-4. 1
---------- ------- = --
X2-X1 plug in 0-3 -3
The options are: 3/10, 65%, 3/7, 70%
Answer:
70%
Step-by-step explanation:
there are 20 total marbles and only 14 are not blue so 14/20 = 7/10 = 70%
Write 19/20 as a decimal
Answer:
95%
Step-by-step explanation:
All you have to do is multiply both number by 5 and after you do that you should get 95/100 and then since we have the 100 as the denominator then we could take the numerator and then you can take it off and then you have you decimal.
A town has a population of 4000 and grows at 2% every year. To the nearest year, how long will it be until the population will reach 6400?
Answer:
24 years
Step-by-step explanation:
Answer:24 years
Step-by-step explanation:
Trust me
determine the mean
14,2,15,7,4,12
Answer:
The mean is 9.
Step-by-step explanation:
How many numbers are there? 6.
The numbers add up to 54.
Divide 54 by 6, to get 9 numbers.
Answer:
9
Step-by-step explanation:
14 + 2 + 15 + 7 + 4 + 12 = 5454 ÷ 6 (the number of numbers we added above) = 9I hope this helps!
Help me with this plz
Answer:
all of them are except for the first one
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Rachel types a 162 words in 18 minutes. Rachel types at a constant rate. How many words does Rachel type per minute
Hi!
Your answer Would be: about 20 words per minute.
Reason Being: 162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number. Also, 20.25 x 15 = 162.Therefore, the answer is 20.
Hope this helps!
Let me know if you need any more help, Id be delighted to!
Yours Truly,
~~~PicklePoppers~~~
Jessica deposited $2000 into an account with a 7.6% annual interest rate, compared quarterly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3722?
Answer:
Step-by-step explanation:
use
i=prt
i=interest
p= principal value
r=rate
t=time
now you want to find time then it will be
t= i/pr
put values
t= 3722/(2000*7.6%)
t= 2 years
calculation is in fraction but your question given you annual interest so time will also be 2 years not in months
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 12 32 in simplest form. You must show your work to receive all possible points.
Answer:Start by dividing the numerator and denominator by 2.
12/32 = 6/16
Now that can also be divided by 2.
6/16 = 3/8
That's as far as we can go because 3/8 can not be divided any more.
We could have divided 12/32 by 4 and saved a step.
The required simplest form of the 12 / 32 is 3 / 8.
Given that,
To write 12 32 in simplest form.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To write 12 / 32 in simplest form,m
= 12 / 32
= 4 * 3 / 2 * 4 * 4
Eliminating common terms that are common in numerator and denominator.
= 3 / 8
Thus, the required simplest form of the 12 / 32 is 3 / 8.
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3
5
Jerry made a small rectangular table for his workroom. If the sides of the
table are 35- inches and 17- inches, which of the following gives the product
4
6
of these dimensions rounded to the nearest whole number of inches?
OA) 35 in. x 17 in.
OB) 36 in. x 18 in.
OC) 35 in. x 18 in.
OD 36 in. x 17 in.
Answer:
B
Step-by-step explanation:
cause on T4L you have to round it to the nearest whole and I put B and it was correct.
Demostración de cada una de las conclusiones de los siguientes razonamientos Por medio de inferencias lógicas. Si los secuestradores se cansan, se ponen nerviosos. Si los secuestradores están armados y se ponen nerviosos, la vida de los rehenes corre peligro. Los secuestradores están cansados y armados. Por consiguiente, la vida de los rehenes corre peligro.
Answer:.
Step-by-step explanation:Z
. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things?
Answer:
Step-by-step explanation:
cost of book = Rs. 573.75
cost of pen = Rs. 25.50
total cost = 573.75 + 25.50 = Rs. 599.25
total money = Rs. 1000
money left with him = 1000 - 599.25 = Rs. 400.75
Hope this helps
plz mark as brainliest!!!!!!
93 + (68 + 7) I really need the whole thing explained.
Answer:
168
Step-by-step explanation:
93+(68+7)=100+68=168
6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)
Answer:
D'(-2, -1)
E'(5, 5)
Step-by-step explanation:
DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).
These points are translated by the rule to give the translated image as D'E',
(x, y) → (x + 1, y + 3)
By following this rule,
D(-3, -4) → D'(-3 + 1, -4 + 3)
→ D'(-2, -1)
E(4, 2) → E'(4 + 1, 2 + 3)
→ E'(5, 5)
Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).
6. The cost to rent a room for a party is a one-time fee
of $90 plus $60 per hour for a DJ. If the cost of the party
was $300, how many hours did they have the DJ?
x = # of hours the DJ was booked
$90 + $60x = $300
Subtract $90 from both sides.
$60x = $210
Divide both sides by $60
x = 3.5 hours
They had the DJ for 3.5 hours
Equatons Unit Test
Determine whether the units are commensurable or incommensurable with grams?
Yes kilometers and kilograms
Solve the equation n/3-4=2
Answer:n=18
Step-by-step explanation:
Is this correct? Thanks.
Answer:
yes it is
Step-by-step explanation:
hope it will help you if yes so make brainlist
Nikolai is taking a taxi to school. He has to
pay $3 for the first mile and $1 for every
additional mile How much will Nikolai pay if
he travels five miles?
what is 1.584x10 to the seventh power is in standard notation.
a.1.584
B.1,584
C.15,840,400
D.158,400,00
Answer:
None
Step-by-step explanation:
Thats not how math works
The proper answer would be 15,840,000,000
(PLEASE HELP!!!) Which of the following expressions is equivalent to a^6 + b^4? (1 point)
Answer:
Last option
(a³+ib²)(a³-ib²)
= a^6-i²b⁴
{(x+y)(x-y)=x²-y²}
=a^6+b⁴
{i²=-1}
Free Brainliest 2
a;ljdk;lajk;lsdjf;laj;sdkjad;fdj;j;dsj;f
Answer:
Hi, the answer is a;ljdk;lajk;lsdjf;laj;sdkjad;fdj;j;dsj;f equaling 21
Step-by-step explanation:
Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).
Answer:
9/13
Step-by-step explanation:
Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid
Answer: yes, it is valid
Step-by-step explanation:
Given the following probability distribution :
X ________f(x)
100,000___ .10
200,000__ .20
300,000 __ .25
400,000 __ .30
500,000 ___.10
600,000 ___.05
To examine the validity of the distribution :
Each individual observation or point must have probability value in within the range (0 < p ≤ 1)
Where p = probability value.
The sum of the individual probabilities must add up to 0
(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)
= 1
Since the two consitions are meet, then, the probability distribution is valid
An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the greatest number of
cans the artist can fill using the paint from the buckets?
Answer:
64 cans
Step-by-step explanation:
Given
[tex]Gallon = 8[/tex]
Required
Determine the equivalent in pints
The standard unit of conversion;
[tex]1 gallon = 8 pints[/tex]
Multiply both sides by 8
[tex]8 * 1\ gallon = 8 * 8\ pints[/tex]
[tex]8\ gallons = 64\ pints[/tex]
Hence, the artist will need 64 cans
Three sides of a quadrilateral are the same length, . The length of the fourth side is 7 inches The perimeter of the quadrilateral is 40 inches, write a equation thats represents the solution
Answer:
It’s 11 inches
Step-by-step explanation:
I had the question
The equation that's represents the solution is 3x+ 7= 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The perimeter of the quadrilateral is 40 inches.
The length of the fourth side is 7 inches
let the length of three equal sides are x unit each.
So, Perimeter of Quadrilateral = 40
x+ x +x + 7 = 40
3x = 33
x= 11
Hence, the equation is 3x + 7= 40.
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