Answer:
y=-2x+14
Step-by-step explanation:
If we are looking for a line parallel to 2x+y=5.
Then we are looking for an equation with the same slope as the equation 2x+y=5.
To obtain the slope of equaiton 2x+y=5 I will put it in slope-intercept form.
Luckily there is only one step which is to subtract 2x on both sides.
y=-2x+5
The slope of this line is -2
The slope of parallel line will also be -2.
So we know our equation is in the form y=-2x+b
To find b we will just use the point (x,y)=(5,4) we know is on the line.
Plug in and solve for b.
4=-2(5)+b
4=-10+b
14=b
So the equation that is parallel to 2x+y=5 and goes through (5,4) is y=-2x+14
What is the area of a triangle with a base of 5 units and a height of 15 units?
A. 75 sq. units
B. 37.5 sq. units
C. 18.75 sq. units
D. 150 sq. units
Answer:
B. 37.5 sq. units
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 (5 * 15)
A =37.5 units^2
Answer:375 units
Hope this helps
Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds
Answer:
h = 147 - 16t^2.
Step-by-step explanation:
Use the following equation of motion
h = ut + 1/2 gt^2 where h = height, u = initial velocity , g = acceleration due to gravity and t = the time.
So here we have:
h = 14t + 1/2 * -32 * t^2
h = 14t - 16t^2
Answer:
Height of jump, s(t) = 14t - 16.09t²
Step-by-step explanation:
We have equation of motion s = ut + 0.5 at².
For the this vertical motion we have
s = height of jump
u = initial velocity = 14 ft/s
t = time
a = acceleration due to gravity = -32.17 ft/s²
Substituting
s = 14 x t + 0.5 x (-32.17) x t²
s = 14t - 16.09t²
Height of jump, s(t) = 14t - 16.09t²
-3 is which type of number? Select all that apply.
natural number
rational number
whole number
integer
-3 is classified as the following:
Rational number
Whole number
Integer
What makes a trapezoid an isosceles trapezoid?
Answer:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. ... A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid. This conjecture tells us that the base angles of an isosceles trapezoid are equal in measure
Step-by-step explanation:
Answer:
A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.
Jim had 15 minutes to do 5 laps around his school what would his time be
Answer:
Step-by-step explanation:
per lap? If it is not per lap, you are going to have to edit the question.
5 laps = 15 minutes
1 lat = x Cross multiply this is a proportion
5x = 15 minutes Divide by 5
5x/5 = 15/5
x = 3 minutes.
It takes him 3 minutes to do one lap.
Which shows the graph of x – 4y = 4? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Answer:
Look at the picture
Step-by-step explanation:
I don't know what the option choices were, but I graphed the equation on a website called desmos.com so the answer is the one that looks like this graph:
The diagnol of a square is x units. What is the area of the square in terms of x ?
Answer:
The side of the square = x/√2
Step-by-step explanation:
All the sides of a square are equal. All the angles are equal to 90°
To find the side of a square
From the figure attached with this answer shows a square.
Let 'x' be the diagonal of the square.
The diagonal make two right angled triangle with angle 45°, 45° and 90°
Therefore the sides are in the ratio 1 : 1 : √2
Here diagonal = x
side : side : x= side : side : √2
Therefore one side length = x/√2
Answer:
Area = x²/2 square units
Step-by-step explanation:
The key to solving this question is to understand that:
a) the sides of a square are the same length
b) the length of the diagonal may be calculated via Pythagoras' theorem (c² = a² + b², where c is the length of the hypotenuse of a triangle and a and b the lengths of the other two sides)
1. Now, let's call the sides of the square length y and the diagonal is length x.
Using c² = a² + b², we can substitute our values to get:
x² = y² + y²
x² = 2y²
2. Stepping away from Pythagoras' theorem for a little bit, let us think of the general formula for the area of a square:
A (for Area) = a², where a is the length of the sides of the square (which are all of equal length)
Given that we defined our square as having length y, let us substitute this value in to get:
A = y²
3. Now we have two formulas that we can work with:
1) x² = 2y²
2) A = y²
4. Given that A = y², we can say that 2y² = 2A
Therefor, if x² = 2y², then x² = 2A
Thus, if we want to find the formula for area in terms of x, we need to simply rearrange the given formula to make A the subject, giving us:
A = x²/2 square units
Hope that helps :)
A snail moves 18 millimeters every 24 seconds. What is the snail's rate of speed ?
Answer:
0.75m/s
Step-by-step explanation:
Speed formula: ⇒ [tex]S=\frac{V}{T}[/tex]
Divide by the numbers from left to right.
S=18
T=24
18/24=0.75
0.75m/s is the correct answer.
I hope this helps you, and have a wonderful day!
[tex]\frac{3}{4}[/tex] millimeter per second
Explanation:You simply need to divide [tex]\frac{18}{24}[/tex]. This is a fraction, so you can just simplify it.
Divide the numerator and the denominator each by 6, which is the greatest common factor. [tex]\frac{\frac{18}{6}}{\frac{24}{6}} = \frac{3}{4}[/tex]
This is as simple as the result can get, so [tex]\frac{3}{4}[/tex] millimeter per second is the final answer.
Function 1 is represented in the table below. It shows the amount of money, y, in dollars, that Greg earns after he mows x of his neighbors’ lawns this weekend.
x y
1 12
3 36
4 48
Function 2, y = 8x represents the amount of money, y, in dollars, that Myesha earns after she babysits for x hours this weekend.
Which is a correct interpretation of the rates of change of these functions?
A. Myesha earns more money this weekend than Greg does.
B. Greg earns more money this weekend than Myesha does.
C. Myesha makes more money per hour babysitting than Greg makes per lawn he mows.
D. Greg makes more money per lawn he mows than Myesha makes per hour babysitting.
Answer:
Step-by-step explanation:
b gtbrtegb hvn by
Use properties of equality to solve these equations. Identify the properties used and describe how you used them. 65 • 92 • 17 = 92 • 17 • x
Answer:
65
Step-by-step explanation:
To solve this equation, we should simplify it as much as possible, which means multiply everything together.
[tex]65*92*17=101660[/tex]
[tex]92*17*x=1564x[/tex]
Now we can solve for [tex]x[/tex] by dividing each side by the coefficient.
[tex]101660=1564x[/tex]
[tex]x=65[/tex]
PLEASE HELP 12 POINTS
Answer:
taxes is 22%
utilities is 4%
transportation is 11%
Step-by-step explanation:
basically divide 95000 by 100 to get the size of 1% which is 950 then take each number for ex: 20900 divide it by 950 and that's how much percentage is being used to pay for that
What is 110% of 80
(With work please)
if we take 80 as the 100%, what is 110% of that?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ x&110 \end{array}\implies \cfrac{80}{x}=\cfrac{100}{110}\implies \cfrac{80}{x}=\cfrac{10}{11}\implies 880=10x \\\\\\ \cfrac{880}{10}=x\implies 88=x[/tex]
All we need to do to answer this question is find 10% of 80, and add that to 80 to find 110%.
To find 10% of 80, multiply it by the decimal of 10%, or .1.
80*.1=8.
Now, add 8 to 80 to get 110% of 80.
80+8=88
110% of 80 is 88.
Hope this helps!
you just bought a fish tank that is 30 in long 18 in wide and 13 in tall. how many square inches of glass are used if the sides and the bottom are made of glass?
Answer:
Number of square inches glasses = 1788
Step-by-step explanation:
Formula
Surface area of cuboid = 2(lb + lh + bh)
l - Length of cuboid
b - Breadth of cuboid
h - Height of cuboid
To find the number of glasses needed
Here fish tank is like a open cuboid, we have to find the surface area of top open cuboid.
Here l = 30 in , b = 18 in and h = 13 in
Surface area = 2(lb + lh + bh) - lb
= 2[(30 * 18) + ( 30 * 13) + (18 * 13)] - (30 * 18)
= 2[540 + 390 + 234] - 540
= 2[1164] - 540
= 1788 square inches
Number of square inches glasses = 1788
Write the simplified form of -64^1/3
Answer:
-4
Step-by-step explanation:
Factor by the numbers from left to right.
[tex]64^\frac{1}{3}[/tex]
[tex]64=4^3[/tex]
[tex](\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4[/tex]
It changes to positive to negative.
-4
-4 is the correct answer.
find the difference
15 - (-15)
Answer:
30
Step-by-step explanation:
Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:
A positive sign & A positive sign = Positive number.
A positive sign & A negative sign = Negative number.
A negative sign & A negative sign = Positive number.
In this case:
- (-15) = + 15
Simplify. Combine like terms:
15 + 15 = 30
30 is your answer.
~
Seven more than the product of a number and 8 equals 2
Use the variable w for the unknown number
Answer: w • 8 + 7 = 2
Step-by-step explanation:
Just translate the words into numbers. Product is multiplication and seven more means add.
Answer:
Equation:
(W * 8) + 7 = 2
W = - 0.625
Step-by-step explanation:
8W = - 5
W = - 0.625
what is the additive inverse of the expression below, where a and b are real numbers ?
2a+b
Answer:
The additive inverse is equal to [tex]-2a-b[/tex]
Step-by-step explanation:
we know that
The additive inverse of a number is equal to its opposite ( the sum of a number and its additive inverse is equal to zero)
so
we have
[tex]2a+b[/tex]
Multiply by -1
[tex]-1(2a+b)=-2a-b[/tex]
therefore
The additive inverse is equal to [tex]-2a-b[/tex]
Solve the following quadratic equation using the quadratic formula.
5x^2 − 8x + 5 = 0
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
x = r − si/t,x = r + si/t
Answer:
Step-by-step explanation:
5x² − 8x + 5 = 0
delta = b²- 4ac a =5 and b = - 8 and c=5
delta = (-8)²- 4(5)(5) = 64 - 100 = -36 = (6i)² . i² = -1
x1 = (8-6i)/10 =(4-3i)/5
x2 = (8+6i)/10 =(4+3i)/5
so r=4 and s=3 and t= 5
Answer:
Step-by-step explanation:
a = 5; b = -8; c = 5
b² -4ac = (-8)² - 4 * 5 * 5 = 64 - 100 = (-36) < 0
x = -b ± √(4ac - b²) i / 2a
= - (-8) ±√ 4 * 5 * 5 - (-8)² i / 2 *5
= 8 ± √36 i
10
= 8 ± 6 i
10
= 2 (4 ± 3i) = 4 ± 3i
10 5
= 4 ± 3i
5 5
x = 4/5 + 3i/5 ; x = 4/5 - 3i/5
A family recycled 66 cans in February, 94 cans in March, 122 cans in April, and 150 cans in May. If this pattern went from January through May, how many cans did the family recycle in January?
Step-by-step explanation:
Difference per month = 28
=> January = February - 28 = 66-28 = 38
Final answer:
The number of cans recycled by the family increased by 28 cans each month. By using the established pattern of accumulation, we calculated that the family recycled 38 cans in January.
Explanation:
To determine how many cans the family recycled in January, we need to identify the pattern in the increase of the number of cans recycled from February to May. We see that from February to March, it increased by 94 - 66 = 28 cans, from March to April by 122 - 94 = 28 cans again, and from April to May by 150 - 122 = 28 cans once more.
Therefore, the pattern is that the number of recycled cans increases by 28 each month. Using this accumulation of change in discrete steps, we can work backwards to find out how many cans were recycled in January.
If 66 cans were recycled in February, and each month they recycle 28 less than the previous month, then in January the family recycled 66 - 28 = 38 cans.
What is the value of (-7 +31) - (2-61)?
Answer: 83
Step-by-step explanation:
(-7+31) - (2-61)
(24) - 2+61
22+61
83
The area of a rectangle is 15+5y square feet. Which of the following expressions could be the length of the sides of the rectangle, in feet
a. 5 and 3y
b. 5 and 3+y
c. 5 and 5+y
d. 3 and 5+3y
Answer:
B. 5ft and (3 + y)ft
Step-by-step explanation:
Area of a rectangle = 15 + 5y
Possible sides of the rectangle would measure 5ft and (3 + y)ft
Because: 5ft × (3 + y)ft = 15 + 5y ft
Which of the following statements are true of 13 and -13? Select all that apply.
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
They are equivalent.
A positive number and a negative number with the same digits are opposite.
13 + -13 = 13 -13 = 0
13 to 0 is 13 units, -13 to 0 is also 13 units.
The answers are:
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
Answer:
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
Step-by-step explanation:
They are opposites. True
- -13 = 13
Their sum is 0. True
-13+13=0
They are the same distance from zero on the number line. True
|-13| = |13|
They are equivalent. False
-13 does not = 13
What is the solution to the equation 3(2x+5) = 3х+4x?
[tex]3(2x+5) = 3x+4x\\6x+15=7x\\x=15[/tex]
Answer:
x = 15
Step-by-step explanation:
Given
3(2x + 5) = 3x + 4x ← collect like terms
3(2x + 5) = 7x ← distribute parenthesis on left side by 3
6x + 15 = 7x ( subtract 6x from both sides )
15 = x ⇒ x = 15
Shontel has a job as a barista at a local coffee shop that pays $12 per hour. She works between 15 and 25
hours every week. Her salary can be modeled by the equation s = 12.5h, where s is her weekly salary and h
is the number of hours she worked in a week
A. Describe the independent variable for this problem.
B. Describe the domain and range for this problem using appropriate notation.
C. What does each value in the ordered pair (11, 137.5) represent in the context of this problem.
Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday. Write an equation to show how many dogs Ida walked Saturday.
A.10x = 70
B.10 − x = 70
C.70x = 10
D.70 − x = 10
The equation to show how many dogs Ida walked Saturday is A.10x = 70
System of linear equationsA system of linear equations exists usually a set of two linear equations with two variables.
A linear equation only includes one or two variables. No variable in a linear equation exists raised to a power greater than 1 or utilized as the denominator of a fraction. When you discover pairs of values that create a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
Given,
Ida gets paid $10 for every dog walked and made a total of $70 on Saturday.
It will be A. She earned 10 dollars per hour 10x= 70.
Hence, the correct answer is option A. 10x = 70
To learn more about the System of linear equations refer to:
https://brainly.com/question/14323743
#SPJ2
In the equation 5 - 10m = 3m 2, the value of b is:
I think you mean the value of 'm' not 'b' as there is no 'b' variable given in the equation.
Assuming you meant 'm' then,
5 - 10m = 3m
+ 10m + 10m
5 = 13m
/13 /13
0.384615385 = m
Answer:
It is 10. I know you are trying to apply it with the quadratic formula.
Step-by-step explanation:
20 points Please HELP!
Answer:
$409.86
Step-by-step explanation:
230 is the before markup
We must apply the markup (or even discount) before the tax is applied.
Marked up 65% means we must do .65(230) <---This will tell us how much more the tent is going to sell for
.65(230)=149.5
So we started with 230 and it is going up by 149.5, so the new price before tax is 230+149.5=379.5
Now the tax is applied to what you are paying (before tax).
So 8% of 379.5 is .08(379.5)=30.36
So new price + tax is the total cost
379.5 +30.36
=409.86
Can you please answer without guessing fast and explain thank you so much
Answer:
2nd and 3rd options are correct
Step-by-step explanation:
Option 1 is wrong because there are obviously 13 scores
Option 2 is correct (quite obvious, just count the number of scores larger than 75)
Option 3 is correct. The method to find the median is to arrange all the numbers in ascending value (this is already done for you), and then locating the middle number. This happens to be 82.
Option 4 is wrong because the only 2 scores between 90 and 100 are 93 and 99
Option 5 is not necessarily true. The max score could be 99? or 102?, or 150? we just don't know. Hence this does not apply.
The following shape is made by cutting an equilateral triangle from a rectangle. Find its perimeter.
Answer:
47.6 cm
Step-by-step explanation:
Since the triangle is equilateral then the 2 inclined sides = 7.2 cm
Perimeter is then the sum of the 5 sides
P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm
Answer:
47.6 cm
Step-by-step explanation:
Ifn || m, find the value of x and the value of y.
A. y = 3.75 x = 11.25
B. y=4,x = 11
c. y = 5, x = 10
D. not enough information to determine
at the boot anewer from the choices provided
Answer: Option C
[tex]y=5[/tex], [tex]x=10[/tex]
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a', b', c' then:
[tex]\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}[/tex]
In this case
[tex]a = 12\\a' = 4\\c = 15\\c' = y[/tex]
So:
[tex]\frac{12}{4}=\frac{15}{y}[/tex]
Now solve the equation for the variable y
[tex]3=\frac{15}{y}[/tex]
[tex]y=\frac{15}{3}[/tex]
[tex]y=5[/tex]
We know that
[tex]x+y=15[/tex] and [tex]y=5[/tex]
Then
[tex]x+5=15[/tex]
[tex]x=10[/tex]
Finally the answer is:
[tex]y=5[/tex], [tex]x=10[/tex]