The scale factor of the drawing is 200.
Scale Factor of a DrawingThe first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.
Given a scale for a drawing to be: 1 mm: 20 cm
1 cm = 10 m
Therefore:
20 cm = 200 mm
Scale factor = 200/1 = 200.
Therefore, the scale factor of the drawing is 200.
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Melanie earns $7 per hour when she
baby-sits. An equation for this relation
is w = 7h, where h represents the
number of hours and w represents
Melanie's wage in dollars.
a) Use the equation to create a table
of values.
b) In one week, Melanie earned $105.
How many hours did she baby-sit?
c) In one month, Melanie baby-sat for
24 h. How much did she earn
from baby-sitting in that month
Answer:
A) We know that she make $7 per hour, with this we can make a table:
1hr | $7
2hr | $14
3hr | $21
etc...
B) If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs
C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168
Hope that helped!
Write an algebraic expression for the phrase 6 times Z
Answer:
6z
Step-by-step explanation:
HL
ASA
SSS
AAS
SAD
Not congruent
Answer: 4
Step-by-step explanation:
i think
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards
she sawed?
PLS HELP
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
Can someone please help!!!!
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
Choose any number, say 20, and divide 729 by 20 ignoring any remainders. " 729/20 = 36 " Find the average of 20 and 36. 20 + 36 / 2 = 28. " Repeat the process until the estimate is the same as the quotient (until the remainder is 0). " 729 / 27 = 27.
Answer:
Answer is solved in the explanation below.
Step-by-step explanation:
Solution:
We have to repeat the process until the estimate is the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)
729/27 = 27 (remainder 0)
Let's I am starting this process from 19
So,
729 divided by 19 = 38.3684
Ignoring the remainders
729 divided by 19 = 38
Now, average of 19 and 38 = (19+38)/2 = 28
729 divided by 28 = 26.03
ignoring the remainders = 26
Now, average of 28 and 26 = (28+26)/2= 54/2 = 27
So,
729 divided by 27 = 27
Hence,
estimate is the same as quotient ( and remainder = 0)
!! PLEASE help !
Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .
Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).
For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
What is the exponential expression for the numerical expression 3⋅3⋅3⋅3 ? 43 4⋅34 124 34
19 - k = 4.
I need help
Answer:
15
Step-by-step explanation:
first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!
3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
Answer:
Number of boys = 675
Step-by-step explanation:
Given that:
There are 5 times as many boys as girls in a school.
Number of pupils in school = 810
Let,
x be the number of girls
y be the number of boys
According to given statement;
x+y=810 Eqn 1
y = 5x Eqn 2
Putting y=5x in the Eqn 1
x+5x=810
6x=810
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]
Putting x=135 in Eqn 2
y = 5(135)
y = 675
Hence,
Number of boys = 675
mando vs boba fett who would win
Answer:
1 BEAT: Boba Fett
Step-by-step explanation:
This is a fight Mando wins, hands down. ... Boba grew up during the Clone Wars and became a renowned bounty hunter like his father.
Find the slope of the line.
3,2 6,3
Jacob won 62 super bouncy balls playing
horseshoes at the county fair. At school he
gave two to every student in his math class. He only has 2 remaining. How
many students are in his class?
Answer:
30
Step-by-step explanation:
62 = 2x + 2
62 - 2 = 2x
60 = 2x
x = 30
Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much
farther does Pam walk than Paul?
Answer:
Pam walks 3/8 of a mile more than Paul
Step-by-step explanation:
1/2 = 4/8
7/8 - 4/8 = 3/8
2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.
Answer:
25 presents.
Step-by-step explanation:
First subtract 2.7(4) from 30.
30 - 2.7(4) = 19.2 meters
Now, convert 19.2 into centimeters.
There's 100cm in 1m, so 19.2 meters can be found by doing:
19.2 x 100 = 1920 cm.
Now, do 1920 divided by 75:
1920/75 = 25.6
Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.
What is 8 2/5 minus 5/8
Answer: 7.775 as a decimal, as a fraction, 311/40.
Step-by-step explanation:
Answer:
im 95%ly sure itz just 8
Step-by-step explanation:
1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.
Answer:
the answer is 2
Step-by-step explanation:
Is 4/5 greater than 9/19
Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2
Pls answer ASAP I will give brainliest answer
Answer:
34.328125
Step-by-step explanation:
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
need help right now due today I will get brainiest with all the answers
Answer:
9. 9 1/2
10. 1 1/2
11. 15 3/4
12. 1 1/3
13. 12 stores sell shoes.
14. the area of the floor is 7,606.625 ft²
15. 3 1/3
16. 4 skateboards
hope this helps. have a good day
what is the answer to 2(1-x)=11
Answer:
-9/2 in exact form but -4.5 in decimal form
Answer:
x=-4.5
Step-by-step explanation:
distribute
2(1-x) = 11
2-2x=11
combine like-terms
-2x = 9
isolate x and divide out the negative
-2x/-2 = 9/-2
x = -4.5
WHATS 10/7 divided by 4
Answer:
10/28
Step-by-step explanation:
Solve.
X = -7
4x - 4y = 12
(x,y)
Answer:
(-7, -10)
[tex]x=-7\\y=-10[/tex]
Step-by-step explanation:
[tex]4x-4y=12[/tex]
Substitute x for -7.
[tex]4(-7)-4y=12[/tex]
Multiply 4 by -7.
[tex]-28-4y=12[/tex]
Add 28 on both sides.
[tex]-4y=40[/tex]
Divide -4 on both sides.
[tex]y=-10[/tex]
[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]
Answer:
(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder 7x+8
Step-by-step explanation:
(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder 7x+8
Use long division method
