Answer:
40,000cm
Step-by-step explanation:
there are 100cm in every meter, so each side of the square is 200cm long. to find the area multiply length times height (the length and the height are equal on a square)
200x200 = 40,000
Answer:
[tex]\boxed{\text{40 000 cm}^{2}}[/tex]
Step-by-step explanation:
A = l²
[tex]A = (\text{2 m})^{2} \times \left (\dfrac{\text{100 cm}}{\text{1 m}}\right )^{2} = \textbf{40 000 cm}^{2}\\\\\text{The area of the painting is $\boxed{\textbf{40 000 cm}^{2}}$}[/tex]
Match the simplified expression with the correct problem.
3/4 (8x + 16)
2x - 5x + 5 - 4
x + x + x +3 + 5 - 2
6x - 7 + 3x + 5
3 + 2(2x + 5)
Answer: 3/4 (8x + 16) simplified expression is 6x + 12
2x - 5x + 5 - 4 simplified expression is -3x + 1
x + x + x +3 + 5 - 2 simplified expression is 3x + 6
6x - 7 + 3x + 5 simplified expression is 9x - 2
3 + 2(2x + 5) simplified expression is 4x + 13
Step-by-step explanation:
3/4 (8x + 16) in the example the 3 is multiplying and the 4 is dividing,
so you can start with multiplication, multiply the 3 for each value into the parenthesis after that you can place 4 as the divisor of this equation
(3 * 8x + 3 * 16) / 4
after we perform this equation the product is the following
(24x + 48) / 4
after this step you can divide the each value into the parenthesis between 4, this process give us separate equations.
(24x/ 4) + (48/4)
if you proceed with the division of each value we will find the last equation.
(24x/ 4) = 6x
(48/4) = 12
then the simplified expression is 6x + 12.
2x - 5x + 5 - 4, with this case you can resolve the equation with the similar values, for example, you can start with the values that has the x, and after that proceed with the simple values.
2x - 5x = -3x
5 - 4 = 1
after we resolve this, you only need placed the values with its sign in one equation then the simplified expression is -3x + 1.
x + x + x +3 + 5 - 2, in this example you can start with the sum of x, and after that proceed with sum of the simple values.
x + x + x = 3x
3 + 5 - 2 = 6
after that we place the values in one expression , then the simplified expression is 3x + 6.
6x - 7 + 3x + 5, in this equation we can star with the similar values, the values with x and after that the simple values
6x + 3x = 9x
-7 + 5 = -2 ( as the 7 is bigger than 5 the result get value of the biggest number.
after you only need to place the values in one equation, then the simplified expression is 9x - 2.
3 + 2(2x + 5), with this example you can start with the product of 2 with the values into the parenthesis.
2 * (2x + 5) the 2 is passing to multiply each value into the parenthesis.
2 * 2x + 2 * 5
4x + 10
after that we can place the result of this product in the first equation
3 + 4x + 10
after that you only need to sum the similar values and we get that the simplified expression is 13 + 4x
Final answer:
Explanation of matching simplified expressions to problems in a math question that is option D is correct
Explanation:
Match the simplified expression with the correct problem:
3/4(8x + 16) matches with 6x - 7 + 3x + 5
2x - 5x + 5 - 4 matches with x + x + x + 3 + 5 - 2
x + x + x + 3 + 5 - 2 matches with 3 + 2(2x + 5)
Answer question 1 and 2 below and show your work.
Suzie and Devon had breakfast at a cafe. Muffins cost $4 on each, and fruit cups cost $7 each. Suzie had 2 muffins and 2 fruit cups. Devon had 3 muffins and 1 fruit cup. How much did their breakfast cost? Show work.
Tyler wants to ride the bumper cars 4 times and Ferris wheel 8 times. It costs 6 tickets to ride the bumper cars and 3 tickets to ride the Ferris wheel. How many tickets does tyler need? Show work.
Answer:
1st Part- $41 2nd Part- 48 Tickets
Step-by-step explanation:
1st Part)
Suzie- 2($4) + 2($7)= $22
Devon- 3($4)+ 1($7)= $19
Total=$41
-------------------------------------------------
2nd Part)
4(6) + 8(3) = 48 Tickets
Help!! Me with my aleks!
Answer:
9x + 36 = 10
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 = [tex]\frac{5}{6}[/tex]
Multiply by the lowest common multiple of 4 and 6, that is 12
12 × [tex]\frac{3}{4}[/tex] x + 12 × 3 = 12 × [tex]\frac{5}{6}[/tex], that is
9x + 36 = 10 ← equation without fractions
a. The lowest temperature in Alaska, -62° C, was recorded on
January 23, 1971 at Prospect Creek Camp. Use the formula to
convert the record temperature to Fahrenheit.
Answer: -79.6°F
Formula
(-62°C × 9/5) + 32 = -79.6°F
Answer:
Step-by-step explanation:
The answer is the -558.9
If DM=25 what is the value of r?
Answer:
r=12.5 units
Step-by-step explanation:
Well assuming that DM means diameter of a circle, then r should be the radius of the circle.
Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.
Given diameter =25
Radius will be= 25/2 = 12.5 units
The value of r is 12.
This is because the line segment DM is made up of two segments, DG and GM.
We are given that the length of DM is 25, and the lengths of DG and GM are r+2 and 2r-13, respectively.
Therefore, we can set up the following equation:
r+2 + 2r-13 = 25
Combining like terms, we get:
3r - 11 = 25
Adding 11 to both sides, we get:
3r = 36
Dividing both sides by 3, we get:
r = 12
Therefore, the value of r is 12.
Question
Figure abcd is a kite. Find the value of x.
Answer:
x = 30
Step-by-step explanation:
(x+20) + (x+10) +90 = 180
(2x+30) + 90 = 180
2x+120 = 180
2x = 60
x = 30
The value of x will be 30.
What is a rhombus?Rhombus is a parallelogram whose all sides are of equal lengths.
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
Form the Figure abcd is a kite. we need to Find the value of x.
Therefore,
The sum of angle property;
(x+20) + (x+10) +90 = 180
(2x+30) + 90 = 180
2x+120 = 180
2x = 60
x = 30
Hence, the value of x will be 30.
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The formula for volume of a rectangular prism is V= l, w, h,. Study the figure shown here. How many cubic units is it?
Answer:
12 cubic units
Step-by-step explanation:
Each square has a length of 1 unit (2units/2 squares = 1unit), therefore since the height of the prism is made up of 3 squares, its length is 3 units.
Using the equation
V = l x w x h
V = 2 x 2 x 3
V = 12 cubic units
a vendor sold 228 sodas & hotdogs. the number of sodas sold was 3 times the number of hot dogs sold. Find the number of sodas and hotdogs sold
Final answer:
To solve the system of equations, we determined the number of hotdogs sold as 'h' and found out that the vendor sold 57 hotdogs and 171 sodas.
Explanation:
The problem given is a system of equations question where we need to find the number of sodas and hotdogs sold by a vendor when given the total sales and the ratio of sodas to hotdogs. To solve this, we'll denote the number of hot dogs sold as 'h' and the number of sodas sold as 's'. According to the problem, the total number of items sold is 228, which gives us the equation:
s + h = 228.
It's also given that the number of sodas sold is three times the number of hot dogs sold. This is our second equation:
s = 3h.
Now we can substitute the second equation into the first, yielding:
3h + h = 228,
which simplifies to:
4h = 228.
Dividing both sides by 4 gives:
h = 57.
With the knowledge that h = 57, we use s = 3h to find that:
s = 3 × 57,
s = 171.
Therefore, the vendor sold 57 hotdogs and 171 sodas.
What is the answer for this question
Answer:
6.3 kilograms
Step-by-step explanation:
Because 1 kilo is 2.2 pounds, divide 13.86 pounds by 2.2 to get 6.3 kilograms
Answer:
There are 6.3 Kilograms
Step-by-step explanation:
1 kilogram = 2.2 pounds
13.86 pounds = ? kilograms
[tex]\frac{13.86}{2.2} = 6.3[/tex]
Which expression is equivalent to 2^5
A 4 x 2^3
B 25
C 4^3
D 2^2+ 2^3
Answer:
Step-by-step explanation:
2^5 = 32 answer A
How many 1 x 1 inch square tiles IH
will fit in an 8 x 8 inch square
tile? Draw.
Answer:
8
Step-by-step explanation:
8 x 8 / 1 x 1 = 8
What Is simplified form of 2+3 (5-2) to the power of 2
In order to find the answer you will have to use PEMDAS and simplify making sure not to solve the equation fully.
[tex]2+3(5-2)^2[/tex]
Using PEMDAS:
[tex]2\times2=4[/tex]
[tex]2+3\times(5-4)[/tex]
[tex]5-4=1[/tex]
[tex]2+3\times4[/tex]
[tex]3\times4=12[/tex]
[tex]2+12[/tex]
Therefore your answer is "2+12."
Hope this helps.
If y = 5x - 2 were changed to y = x - 2, how would the graph of the new
function compare with the first one?
A. It would be less steep.
B. It would be shifted down
c. It would be shifted left.
D. It would be steeper.
SUBMIT
Answer:
A. It would be less steep.
Step-by-step explanation:
took the test
What is the value of the expression shown when n=6
Answer:
42/n-8 which equals -1. (The 3rd answer)
Step-by-step explanation:
8 less means + (-8) and the quotient of 42 and a number means 42/n. Therefore the expression can be derived as (-8)+42/n which can be rewritten as (using the commutative property) 42/n+(-8) or 42/n-8, and to solve substitute n as 6 to find:
42/6-8=7-8=-1
Answer:3rd answer choice
Step-by-step explanation:3rd answer choice
M angle 1 equals 4x + 15 + m angle 2 equals 2x + 16 what is angle 3 and what is X
Are you talking about the angles in a triangle? Your question is not clear. I'll assume you are talking about a triangle.
Angle 1 + Angle 2 + Angle 3 = 180°
4x + 15 + 2x + 16 + x = 180°
Solve for x to find Angle 3, which in this case is the value of x.
Find the two square roots of 4
Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4
The two square roots of 4 are 2 and -2.
What is square root?The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.
Given:
The number is 4,
Factorize the number as shown below,
4 = 2 × 2
Calculate the value of the square root of 4 as shown below,
√4 = √(2 × 2)
√4 = ±2
√4 = 2 or -2
Check as:
-2 × -2 = 4
2 × 2 = 4
Thus, the square root of 4 is 2 and -2.
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90 POINTS - Algebra Is this relationship proportional?
Answer:
-2 -27 the answer is -24
1 and 12 4
4 and 57 the answer is 53
10 and 147 the answer is 157
Answer:
No
Step-by-step explanation:
Proportional relationships are defined as two quantities that directly relate to one another.
-2/-27= 0.07
10/147= 0.06
These values are different meaning that the relationship is not proportional! You can also write the values as a fraction to see if they relate.
A carpenter is building a ramp, as shown in the diagram.
What is mt?
A. 28º
B. 62º
C. 90º
D. 152º
Answer:
B. 62°
Step-by-step explanation:
According to the Supplementary Angles Theorem, in this case, ∠s and 152° form a straight angle, so you use the Supplementary Angles Theorem:
-152° + 180 = 28°; 28° = m∠s
Then, use the Triangular Interior Angles Theorem to find the m∠t:
28° + 90° = 118°
↑
∠s
-118° + 180° = 62°; 62° = m∠t
I am joyous to assist you anytime.
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
Measure of exterior angle = 152°
and measure of one opposite interior angle = 90°
Measure of another opposite interior angle be 't'.
As we know that
Sum of interior angle is equal to exterior angle.
[tex]90^\circ+t=152^\circ\\\\t=152^\circ-90^\circ\\\\t=62^\circ[/tex]
Hence, the measure of t is 62°.
Therefore, Option 'b' is correct.
What is the distance between (8,-3) and (4,-7)
Answer:
The distance between 8,-3 is 12 and the distance between 4,-7 is 11
Step-by-step explanation:
A 3-pack of beaded necklaces costs $4.47. What is the unit price?
per necklace
Answer:
1.49 per necklace
Step-by-step explanation:
there are 3 necklaces sold for 4.47. if we divide the three necklaces by the overall price we get the price per necklace. 4.47 divided by 3 = 1.49
Answer:
Each necklace cost $1.49
Step-by-step explanation:
Three necklaces cost $4.47. So to see how much one necklace cost you must divide the cost of all three necklaces by 3. Then you get $1.49
Which expression is equivalent to 216x27?
Answer:
In multiplication, 216x27 is the same as 27x216
It is also the same expression as 6x^9
Answer:5832
Step-by-step explanation:
Which of the following would be the most logical first step to solving this
quadratic equation?
x2 -5x + 6 = 0
Answer:
Step-by-step explanation:
There are many ways to solve this:
- factorising
- formula
- perfect squaring
FACTORISING:
The first step would be to multiple the coefficient of x^2 and 6.
Then find which of the factors of 6 sum up to 5. (In this case it is 2 and 3.)
So you would rewrite the equation like this:
x2 -3x -2x + 6 = 0
Then factorise
x(x-3) - 2(x-3) = 0
Then factorise again
(x-2)(x-3) = 0
So if we were to divide each side by (x-2)
(x-3) =0
so x = 3
OR
if we were to divide each side by (x-3)
(x-2) = 0
x = 2
FORMULA:
The formula is
-b±[tex]{\sqrt{b^2 -4ac}[/tex] / 2a
where
ax^2 + bx + c = 0
The first step would be to substitute.
PERFECT SQUARING:
The first step would be to half the second term.
[tex](x - \frac{5}{2})^{2} - \frac{25}{4} - 6 = 0[/tex]
Then solve for x.
Please answer this correctly
88
Step-by-step explanation:
Answer:
Step-by-step explanation:
12: 88
The square root of 60 + n and the square root of 2n +28. What is the smallest natural number that could be.
Answer:
If i understood correctly n = 4
Step-by-step explanation:
You are looking for the smallest n that gives a result to the square root so you have to try known squares.
Since you have 60+n, you have to start with 64, 81, 100, etc
First try with 64 means n equals 4
Then you go for the next expresion and replace 4:
2(4) + 28 = 36 which is 6*6
So thats your answer
Final answer:
The smallest natural number that could be the square root of (60 + n) and (2n + 28) is 4.
Explanation:
The smallest natural number that could be √(60 + n) and √(2n + 28) is 8. To find this, we need to solve the equations:
√(60 + n) = 8 and √(2n + 28) = 8.
Squaring both sides of each equation, we get:
60 + n = 64 and 2n + 28 = 64.
Solving these equations, we find:
n = 4 and n = 18.
Since we are looking for the smallest natural number, the answer is 4.
How do you solve 3(1+5)
Step-by-step explanation:
3(1+5) (distributive property)
= 1(3) + 5(3)
= 3 + 15
= 18 (answer)
A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll, how much did the doll cost?
Answer:
The cost of the doll is $11.75
Step-by-step explanation:
Let
x ----> the cost of the doll
y ----> the cost of the toy t-rex
we know that
[tex]x+y=33[/tex] -----> equation A
[tex]y=x+9.50[/tex] ----> equation B
substitute equation B in equation A and solve for x
[tex]x+(x+9.50)=33\\2x+9.50=33\\2x=33-9.50\\2x=23.50\\x=\$11.75[/tex]
therefore
The cost of the doll is $11.75
Answer:
Doll cost = $11.75.
Step-by-step explanation:
Given :A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll.
To find : how much did the doll cost.
Solution : We have given
A doll and a toy t-rex cost $33 together.
Let the Doll cost = x .
According to question .
t-rex toy costs $9.50 more than the doll.
T-rex cost = $9.50+ x .
Then, A doll and a toy t-rex cost $33 together.
Doll cost + T oy t-rex cost = $33
Plugging the values
x + $9.50+ x =$33 .
2x + $9.50 =$33 .
On subtracting both sides by $9.50
2x =33 - 9.50
2x = 23.5.
On dividing both sides b y 2
x = $11.75
Doll cost =$11.75
Toy Cost = 9.50 +11.75.
Toy Cost = $21.25
Therefore, Doll cost = $11.75.
gcf of 14, 49, and 7 pls help
Answer:
GCF(14, 49, 7) = 7Step-by-step explanation:
14 = (2)(7)
49 = (7)(7)
7 = (7)(1)
GCF(14, 49, 7) = 7
What is the mistake?
3a+4b=7ab
Answer:
You cannot add like terms like that.
Step-by-step explanation:
The terms are supposed to be added together, by combining them like that you are multiplying them together.
5% of Mr. Louise jokes I funny if he makes 16 funny jokes this year how many total joke does he make
Answer:
well 5% of 16 is 0.8 soo...?
Step-by-step explanation:
Answer:
he makes 0.8 jokes a year
solve -5 ( 1-4a) > -5
Answer:
A=0
Step-by-step explanation:
i think this is right if not im so sorry