Answer:
7 science teachers
Step-by-step explanation:
42 and 14 in a ratio 3:1
if 42/2 =21 maths teachers then 7 science teachers
Solve the equation for b
Answer:
b=7a
Step-by-step explanation:
11a+b/3=6a
or, 11a+b=6a*3( when there is divide in one side it will be multiply when it is in another side)
or, 11a+b=18a(multiplying the number)
or, b=18a-11a( when there is + sign in one side it will be - sing in another side )
or, b=7a
True or false all right triangle aré congruent
Answer:
true
Step-by-step explanation:
Answer: True.
Make sure you check each triangle, not all of them are right ones.
Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be
Answer:
The height of her screen on her drawing must be 30 inches.
Step-by-step explanation:
The scale factor is obtained by dividing the drawn width by real width of the movie screen:
[tex]k = \frac{9\,in}{60\,ft}[/tex]
[tex]k = \frac{3\,in}{20\,ft}[/tex]
The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:
[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]
[tex]h_{s} = 30\,in[/tex]
The height of her screen on her drawing must be 30 inches.
Trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J19, -3). What is the
area of the trapezoid? Show your work.
Answer:
38.5
Step-by-step explanation:
The area of the trapezoid FGHJ is 33 square units.
Given that, trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J(19, -3).
We need to find the area of the trapezoid.
What is the formula to find the area of trapezium?The area of a trapezium is defined as the number of unit squares that can fit into it and it is measured in square units (like cm², m², in², etc). A trapezium is a type of quadrilateral that has one pair of parallel sides(generally referred to as bases). The other pair of sides of a trapezium can be non-parallel and are known as legs. The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane.
The area of a trapezium =1/2 (a+b)×h square units.
Now, area=1/2 (4+17)×6=33 square units
Therefore, the area of the trapezoid FGHJ is 33 square units.
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You spend a total of 300 minutes doing math homework Monday through Friday. How many hours will you spend on math homework by the end of this semester (18 weeks)?
Answer:
90 hour
Step-by-step explanation:
300 minutes is for 1 school week
so if you multiply 300 minutes for 18 weeks it results as 5400 minutes.
300 × 18 = 5400 minutes
To get the number of hours you should divide 5400 minute by 60 minutes ( which is one hour )
5400 ÷ 60 =. 90 hours
You spent a total of 90 hours studying math in 18 weeks.
The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hours was the bicycle rented
What is (are) the value(s) of x when x3 = 27?
O X = 3
O X = 9
O x = 3 and -3
O x = 9 and -9
F(x)=3x-7 slope intercepts form
Answer:
y=[tex]\frac{3}{1} x\\[/tex]=+(-7)
Step-by-step explanation:
-f(x) means y
-since 3 isnt a fraction put a one under it
3 X square + 3 X - 36 by 6 x square - 24 x - 30
Step-by-step explanation:
The solution is in the above photo
Look at this graph:
10T
9
8
7
6
5
4
3
2
1
0
3
1
2
5
6
7
9
10
8
)) What is the slope?
)) Simplify your answer and write it as a proper fraction, improper fraction, or integer.
47
Answer:
The slope is 1/3. Rise over run. It goes up 1 and over 3.
Please help me!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x)=40( \frac{1}{4} )^{x} \\ x = 0\\ y = 40( \frac{1}{4} )^{0} = 40
[/tex]
which figures can have 2 sides of the same lenth but are not paeallelograms? rectangle square quadrialertral isosceles trapezoid
Answer:
rectangle
Step-by-step explanation:
solve for x 3/2 (4x-2) - 3x = 5-(x+2)
Answer:
x = 1.5
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
The solution of the equation, (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) is; x = 1.5
What is an equation?An equation is a mathematical statement indicating equivalence between two expressions.
The equation (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) can be solved step by step as follows;
Distributing the (3/2) on the left hand side, we get; (3/2)·4·x - (3/2)×2 - 3·x = 5 - (x + 2)Simplify the left hand side; 6·x - 3 - 3·x = 5 - (x + 2)Combine like terms on the left hand side; 3·x - 3 = 5 - (x + 2)Distribute the -1 on the right hand side; 3·x - 3 = 5 - x - 2Combine like terms on the right hand side; 3·x - 3 = 3 - xAdd x to both sides; 4·x - 3 = 3Add 3 to both sides; 4·x = 6Divide both sides by 4; x = 6/4Therefore, the solution of the equation is; x = 6/4, or x = 1.5
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which expression is equivalent to 27 + 15? A 3 × (9 + 15) B 3 × (9 + 5) C 9 × (3 + 15) D 9 × (3 + 5)
Answer:
Your answer is b
Step-by-step explanation:
27 + 15= 42
a- 9+15= 24x3= 72
b- 9+5= 14x3= 42
c- 3+15= 18x9=162
d- 3+5= 8x9= 72
Hope this helps.
victora took a test and got 80 percent of her question right and anwserd 20 question correctly how many question are on the test
Answer:
25 questions
Step-by-step explanation:
First set up the equation.
[tex]\frac{20}{x} = \frac{80}{100}[/tex]
To get from 20 to 80 you have to multiply by a scale factor of 4, so do the same to the bottom as well.
Do the inverse and divide 100 by 4 to get x = 25.
There were 25 questions on Victoria's test.
Anwser
25
Step-by-step explanation:
because 5 x 10 is 50 so 5 x 16 is 80 so she got an 80 but 5x 20 equals 100 so Victoria got 5 points per questions so multiply and youll find out i has to be 25 tho
The vertices of a figure are D(-3,-4),E(-5, 2), F(1,-1), and G(3, -7). Rotate the figure 270° clockwise about vertex E. What are the coordinates? Please i need helppppp :(
Answer:
c
Step-by-step explanation:
c
A piece of chocolate is 4/5 inch long. Meg lays 4 chocolate pieces end to end in a row. How many inches long is the row of chocolates ( please helpppppp) ( MAP test question)
Answer:
The length of row = 3.2 inches.
Step-by-step explanation:
The length of a chocolate = 4/5 inch
Total number of chocolate pieces placed = 4
Now we have given the length of one chocolate and it is required to find the total length of the row when four chocolates are placed end to end. So in order to find the length of the chocolate row we have to multiply the size of one chocolate by the number of chocolates.
The length of row = Length of one chocolate × number of chocolates
The length of row = 4/5 × 4
The length of row = 3.2 inches.
The piece of chocolate and the number of chocolates in a row can be represented using equations.
A row of chocolate is 3.2 inches long
Given that:
[tex]L = \frac 45[/tex] ---- Length of a piece
[tex]n =4[/tex] --- number of chocolate pieces
The length of the chocolate in a row is calculated as follows:
[tex]Length = n \times L[/tex]
So, we have:
[tex]Length = 4 \times \frac 45[/tex]
[tex]Length = 4 \times 0.8[/tex]
[tex]Length = 3.2[/tex]
Hence, a row of chocolate is 3.2 inches long
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The quotient of n and 7 is 6 times n.
Answer:n ÷ 7 = 6n
Step-by-step explanation:
Answer:
76 + n
Step-by-step explanation:
Bill measures the length of a room to be 15.125 feet. He wants to place a border on 3/4 of the length of the wall. What will be the length that he covers on the wall? Round to the nearest thousandth of a foot.
A. 11.344 feet
B. 15.000 feet
C. 17.054 feet
D. 10.275 feet
Answer:
The answer is A.
Step-by-step explanation:
15.125 * 75% = 11.343...
Rounded, that would be 11.344.
~(_8^(})
ASAP 1. what is the mass, in Kilograms, of a star that is 1.5×10^2 times thw mass of the sun? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. 2. Solve Apply the concepts to this problem. Set up the problem. (2.0 X 10^30) X (1.5 X 10^2) Multiply the coefficients. (2.0 X 10^30) X (1.5 X 10^2), (2.0 X 1.5) = 3.0 Then add the exponents. (2.0 X 10^30) X (1.5 X 10^2) = (10^30 X 10^2) = 10^30 + ^2 = 10^32, Combine the results of the two operations. (2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32 The star's mass is 3.0 x 10^32 kg.
* Muliply numbers written in Scientific notation by multiplying the coefficients and then adding the exponents. you will get Free huge point and a Crown!
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
1.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = 1.5×10^2 kg times the mass of the sun.
find:
Express the answer in Scientific notation.
mass of a star = 1.5×10^2 kg X 2.0×10^30 kg
mass of a star = 3.0 X 10^32 kg
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
2.
(2.0 X 10^30) X (1.5 X 10^2)
Multiply the coefficients.
= (2.0 X 1.5)
= 3.0
then add the exponents
= 10^30 + 10^2
= 10^32
Combine the results of the two operations.
(2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
i got them correct on exam
Use the Distributive Property to determine which of the following statements is equivalent to 3(4-2).
12-2
12-6
7-5
7-2
Answer:
12-6
Step-by-step explanation:
You multiply 3 by the number on the inside. 3x4= 12. 3x2=6.
x · 1 + x/1 = _____.
Answer:
2x
Step-by-step explanation:
x · 1 is equal to x
x / 1 is equal to x
this means that (x · 1 + x / 1) is the same as
x + x
x + x = 2x
Answer:2x+1
Step-by-step explanation:
Step one: Divide
Step Two:Collect like terms
Find the midpoint of the segment AB with coordinates A(4, 3/4) and B(-2, 1/4).
answer :
( 1, 1 / 2 )
explanation :
Midpoint formula :
(x^1, y^1) , (x^2, y^2)
M = ( x^1 + x^2 / 2 ), ( y^1 + y^2 / 2 ).
(x^1, y^1) = (4, 3/4), (x^2, y^2) = (-2, 1/4).
= ( -2 + 4 / 2, 1/4 + 3/4 / 2 )
= ( 1, 1 / 2 )
Point L is on line segment KM. Given LM = 2 and KM = 19, determine
the length KL.
Answer:
17
Step-by-step explanation:
i am in doubt with the answer
Answer:
[tex]\huge\boxed{KL = 17}[/tex]
Step-by-step explanation:
If L lies on the line segment KM. It means that:
K_____?__________L___2__M
|<--------------------19------------------->|
Given that:
LM = 2
KM = 19
So,
KM = KL + LM
19 = KL + 2
Subtracting 2 to both sides
KL = 19-2
KL = 17
Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²
Answer:
2⁴
Step-by-step explanation:
4² would be 4x4 not 2x2x2x2
2x2x2x2 would be 2⁴.
How to solve -10+x+4-5=7x-5 and what it equals
Answer:
- 1
Step-by-step explanation:
Step 1:
- 10 + x + 4 - 5 = 7x - 5
Step 2:
- 11 + x = 7x - 5
Step 3:
- 11 = 6x - 5
Step 4:
- 6 = 6x
Answer:
- 1 = x
Hope This Helps :)
The Birdwatching Club has 8 members, 2 girls and 6 boys. What is the ratio of
girls to boys in the Birdwatching Club?
O A. 2:1
O B. 3:1
"O c. 1:3
Answer:
c 1:3
Step-by-step explanation:
2/6 divide it by 1/3 and u get 1:3
Which expression is equivalent to 510.55?
o 52
o 55
O 515
0 550
The exponent 5¹⁵ is equivalent to the given expression 5¹⁰ · 5⁵. The correct answer would be an option (C).
What is an exponent?The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.
The exponent expression is given as:
5¹⁰ · 5⁵
We have to determine the equivalent exponent to the given expression.
As per the question, we have
5¹⁰ · 5⁵
Simplify using the exponent rule with the same base,
5¹⁰⁺⁵
Adding the powers in the expression, we get
5¹⁵
This exponent is equivalent to the given expression.
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Evaluate 2(3n−9) when n=13. 2(3n−9) =2(3⋅ −9) =2( −9) =2( ) =
Steps to solve:
2(3n - 9); n = 13
~Substitute
2(3(13) - 9)
~Simplify
2(39 - 9)
~Subtract
2(30)
~Multiply
60
Best of Luck!
Answer:
[tex]\Huge \boxed{60}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]2(3n-9)[/tex]
The value of n is 13.
[tex]\Longrightarrow \ \ 2(3(13)-9)[/tex]
Solving for brackets,
[tex]\Longrightarrow \ \ 2(39-9)[/tex]
[tex]\Longrightarrow \ \ 2(30)[/tex]
Multiplying,
[tex]\Longrightarrow \ \ 60[/tex]
[tex]\rule[225]{225}{2}[/tex]
The length of an arc of a circle is 44cm.If the radius of the circle is 42cm calculate the angle sub tended by the arc at the center of the circle
Answer:
32
Step-by-step explanation: