Solve the system of equations algebraically.
1. Y=x+2, y=-3x
2. Y=x+20, y=6x
Please please help me
Answers
y = x + 2 , y = -3x
Since both are equal to y we can set them equal to each other:
x + 2 = -3x
2 = -4x
-1/2 = x
Now we will substitute the value of x in one of the equation to find the value of the y:
y = x + 2
y = -1/2 + 2
y = 1.5
So the solution of the first system is (-0.5,1.5).
2.
y = x + 20 , y = 6x
Since both are equal to y, we can set them equal to each other:
x + 20 = 6x
20 = 5x
4 = x
Now we will substitute the value of x in one of the equations to find the y:
y = 6x
y = 6(4)
y = 24
So the solution for the second set of equations is (4,24).
Hope this helps :)
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It took Yuik (1/6) of a hour to water get flowers and (4/6) of an hour to weed her garden. What fraction of an hour did Yuik work in her yard
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The required fraction of an hour is 5/6 Yuik work in her yard.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
It took Yuik (1/6) of an hour to water the flowers and (4/6) of an hour to weed her garden, so in total, she worked for (1/6) + (4/6) = 5/6 of an hour in her yard.
To add the two fractions, we need to have a common denominator, which is 6. Then we can add the numerators (1 + 4) to get 5.
⇒ 5/6
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The measure of an exterior angle of a regular polygon is 15 degrees. What is the sum of the measures of the interior angles of the polygon
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It is 360 degrees!
You can see because it is math and yeah..
I would be much appreciated if somebody took time out of their day to answer this for me.
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You have to assume something or it is unsolvable.
We will assume that the triangle is divided into 2 smaller right triangles. They will be subject to a^2 + b^2 = c^2
a = 32/2 = 16
b = h
c = 20
20^2 = 16^2 + h^2
400 = 256 + h^2 Subtract 256
400 - 256 = h^2
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Now we can find the area.
h = 12
base = b = 32
Area = 1/2 * b * h
Area = 1/2 * 32 * 12
Area = 192 square inches.
Problem 5
Same assumption. Same method.
a^2 + b^2 = c^2
c = 25
b = 7
h = ???
h^2 + 7^2 = 25^2
h^2 + 49 = 625
h^2 = 625 - 49
h^2 = 576
h = sqrt(576)
h = 24
Area = 1/2 Base * h
base = 2*7
base = b = 14
Area = 1/2 * 14 * 24
Area = 168 <<<< answer.
0.5 as a repeating decimal to a fraction
show your work
also 0.7 as a repeating decimal to a fraction
show your work
Answers
The decimal 0.5 converts to the fraction 1/2 and the decimal 0.7 converts to the fraction 7/10.
Explanation:To convert the decimal 0.5 and 0.7 into fractions, we use the definition of a decimal. A decimal is a representation of a fraction in terms where we have a power of 10 in the denominator. For instance:
To convert 0.5 into a fraction, we can think of it as 0.5/1 which equals to 5/10 or simplifies to 1/2. Converting 0.7 into a fraction, would give us 0.7/1 which is equal to 7/10.
So, 0.5 as a decimal is 1/2 as a fraction and 0.7 as a decimal is 7/10 as a fraction.
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what does x equal? Plus can u pls explain cuz I have a test friday
Answers
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20.
So the value of x is 20
Hope I helped :)
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Explanation:
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For Doctor 2, (35+20+20+22+23+26+13+17+2+2+3+9)/12 = 192/12 = 16.
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Answer:
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Step-by-step explanation:
Please try to answer as many as possible. Thanks
A gift box is in the shape of a triangular prism has a volume of 140 cubic inches, a vase height of 10 inches, and a height of 4 inches. What is the length of the base?
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I hope this helps!
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Please show steps.
Answers
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step 1
find --------> f(2x)
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so
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and
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Hope i helped :)
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than i will let you get the operation by your self to make sure that you understand
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Answers
The expression will be:
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What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
The ratio is the division and the ratio can be bigger than the amount which is put on the ratio or the ratio could be smaller than the amount which is put on the ratio. It depends upon whether the numerator is big or small than the denomintor.
Given the condition in the question let's suppose the number is x then
seven-time is 7x and 5 means 7x + 5.
Similarly -2 times means -2x and 11 means -2x + 11 hence (7x +5 )/(-2x+11) will be correct answer.
For more information about ratio and proportion
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So sorry, I just don’t understand this Please I’m almost done.
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https://brainly.com/question/9128908
Atrap = (1/2)*(9+5)*5 = 35
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is (8,3) solution to 3x-4y>12
Answers
3(8)-4(3)>12
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12 cannot be greater than twelve because they’re equal so it’s not.
Have a good day!
Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag? 1/16 of a pound 1/9of a pound 16/81 of a pound 81/16 pounds
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Answer:
A
Step-by-step explanation:
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Label the percent bar below with the appropriate estimations.
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Answer:
it was 25%
Step-by-step explanation:
You plan to paint the outside of this garage, including the roof. Which calculation will help you best decide how much paint you will need? (Omit the floor of the garage in your calculation.) Add the areas of 9 rectangles and 2 triangles. Add the areas of 6 rectangles and 2 triangles. Add the volumes of 1 rectangular prism and 1 triangular prism. Add the perimeters of 4 rectangles and 2 triangles.
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The roof will be two rectangles.
The ends holding up the roof will be two triangles.
The 2nd selection is appropriate (areas of 6 rectangles + 2 triangles).
_____
Yes, you're trying to find the volume of paint, but paint is sold in terms of the number of square feet (area) it covers. Rarely do we concern ourselves with computing paint volume from the thickness of the film covering the area. Certainly, the volume of paint is substantially less than the volume of the walls or the entire garage.
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add the areas of 6 rectangles and 2 triangles
Step-by-step explanation:
How many quarter pound buyers can george make out of 3 and 1/2 pounds of ground beef?
Answers
= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction
= (2*3+1)/2 ÷ 1/4
= 7/2 ÷ 1/4
to divide a fraction, we multiply by the reciprocal/inverse of 1/4
= 7/2 * 4/1
multiply numerators, then multiply denominators
= (7*4)/(2*1)
= 28/2
= 14
ANSWER: 14
Hope this helps! :)
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The table shows the number of skirts of different colors in a closet. A fair coin is shown below the table.
Color of Skirt Number
Yellow 5
Blue 8
Green 4
Pink 3
A coin Maria selects a skirt from the closet randomly without looking and then tosses the fair coin. What is the probability that she will select a yellow skirt and that the coin will land tails up?
1 over 20
1 over 10
1 over 8
1 over 5
Answers
There are 20 different and 5 of them are yellow. 1/4 of them are yellow
1/2 chance of the coin have tails up
1/4 × 1/2 = 1/8
hope it helps
Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Given : Number of yellow Skirt Number =5
Total skirt = [tex]5+8+4+3=20[/tex]
The probability that she will select a yellow skirt will be :_
[tex]\dfrac{5}{20}=\dfrac{1}{5}[/tex]
Total faces in coin=2
Number of tails = 1
The probability that the coin will land tails up :-
[tex]\dfrac{1}{2}[/tex]
Since ,both events are independent , then the probability that she will select a yellow skirt and that the coin will land tails up is given by :-
[tex]\dfrac{1}{5}\dfrac{1}{2}=\dfrac{1}{10}[/tex]