Write the scale of the drawing as a fraction. Put the shorter length in the numerator.
[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]
First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.
[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]
Write the scale factor as a ratio, using a colon
7/100 → 7:100
The scale factor is 7:100.
[tex] \\ [/tex]
#CarryOnLearning!
Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how
Given:
After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].
The given expression is [tex]-4(-a+2)[/tex].
To find:
The equivalent expression by using distributive property.
Solution:
According to the distributive property of multiplication over addition, if a, b, c are real values, then
[tex]a(b+c)=ab+ac[/tex]
We have,
[tex]-4(-a+2)[/tex]
Using distributive property of multiplication over addition, we get
[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]
[tex]-4(-a+2)=4a+(-8)[/tex]
[tex]-4(-a+2)=4a-8[/tex]
Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
Analyze the diagram below and complete the instructions that follow.
Find the exact value of tan(M).
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Answer:
C or 5/12
Step-by-step explanation:
Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store
Answer:
[tex]Amount = 49 + 14.99k[/tex]
Step-by-step explanation:
Given
[tex]Books = 24[/tex]
[tex]Another\ Store = 25[/tex]
[tex]Model = k[/tex]
Cost of [tex]Model = 14.99[/tex] --- Missing from the question
Required
Represent the amount spent
The amount is calculated as:
[tex]Amount = Books + Another\ Store + Model * Cost[/tex]
[tex]Amount = 25 + 24 + k * 14.99[/tex]
[tex]Amount = 49 + 14.99k[/tex]
PLEASE PLEASE HELP ME! thank you so so much
explaining your answer = brainliest/five stars
The radius of a circle is 4 kilometers. What is the area of a sector bounded by a 135° arc?
give the exact answer in simplest form
Answer:
6π
Step-by-step explanation:
(135/360)×π×4²
(135/360)×π×16
=6π
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?
===============================================
Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
Learn more about Dilation here:
https://brainly.in/question/30389359
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Help me please !!!!!!!!!!!
Answer:
option 1
Step-by-step explanation:
[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Someone help me with this one
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
. The time of a clock as seen in a mirror is 3:15. The correct time is
Answer:
3:15 cause a mirror cant change time
Step-by-step explanation:
go in ur mirror and look at the time did it somehow get darker or lighter???
Answer:
8:45 i think
Step-by-step explanation:
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
the sum of 43.9 and 4 groups of a number
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
How many families in Oats Township have two or more cars?
100
4
1
2
400
200
Answer:
200
Step-by-step explanation:
Good luck <3
Answer:
200
Step-by-step explanation:
hope it helps
Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??
Answer:
Something that's in your budget.
Will mark brainliest
Answer:
350
Step-by-step explanation:
which of the following is equivalent to squareroot 8?
Answer:
2√2
Step-by-step explanation:
[tex]50.705 \div 2.646[/tex]
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
Bab isn’t good with quick mafs
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
brainly.com/question/29335425
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Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
Answer:
6.5cm)
Step-by-step explanation:
13.1 cm x 13.1 cm = 171.61
11.4 cm 11.4 cm = 129.96
171.61 - 129.96 = 41.65
Find the square root of 41.65.
41.65 = 6.4536811201050 x 6.4536811201050
Round 6.4536811201050.
x = 6.5cm
Note:
Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!
-kiniwih426
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful...Https://imgur.com/a/n3PRcMY
State if the two triangles are congruent.
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation:
PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP
Answer:
Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000
Step-by-step explanation:
9.22 = 9.2200
9.202 = 9.2020
9.8 = 9.8000
9.2211 = 9.2211
Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.
Arranging : 9.2200, 9.2020, 9.2211, 9.800
So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]
Arranging : 9.2020 , 9.2200, 9.2211, 9.8000
Now compare the numbers in tenths , hundredths and thousandth place :
[220, 202, 800, 221 ]
Arranging : 9.202, 9.220, 9.221, 9.800
Now compare all the four numbers and arrange :
[ 2200, 2020 , 8000, 2211 ]
Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000
