Answer:
The distance of Jack's father's work from home is 22.5 miles.
Step-by-step explanation:
Given;
time it takes Jacks father at usual speed, t = 30 minutes = 0.5 hour
Jacks father speed when traffic is bad, = 30 mph slower
let the usual speed = v
let the distance of Jack's father's work from home = y
When traffic is normal;
[tex]v = \frac{y}{0.5 } ---- equation \ (1)[/tex]
When traffic is bad;
[tex]v - 30 \ mph = \frac{y}{1 \ + \ 0.5} \\\\v -30 = \frac{y}{1.5} \\\\v= 30 +\frac{y}{1.5} ----equation \ (2)[/tex]
Solve equation (1) and (2) together;
[tex]\frac{y}{0.5} = 30 \ + \ \frac{y}{1.5} \\\\y = 0.5(30 \ + \ \frac{y}{1.5})\\\\y = 15 + \frac{y}{3} \\\\y - \frac{y}{3} = 15\\\\\frac{3y-y}{3} =15\\\\\frac{2y}{3} =15\\\\2y = 3(15)\\\\2y = 45\\\\y = \frac{45}{2} \\\\y = 22.5 \ miles[/tex]
Therefore, the distance of Jack's father's work from home is 22.5 miles.
The required distance of Jack's father's work from home is y = 22.5miles.
Given that,
Jacks father drives to work in 30 minutes while driving at his usual speed.
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
We have to determine,
How far is Jack's father's work from home.
According to the question,
Let, the usual speed = v
And the distance of Jack's father's work from home = y
Jacks father at usual speed taking time, t = 30 minutes = 0.5 hour,
Jacks father speed when traffic is bad, = 30 mph slower.
The formula for speed is defined as = distance ÷ time.
Therefore,
Jacks father drives to work in 30 minutes while driving at his usual speed.
[tex]Speed = \dfrac{distance}{time}\\\\v = \dfrac{y}{0.5}[/tex]
Then,
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
[tex]Speed = \dfrac{distance}{time}\\\\v - 30mph = \dfrac{y}{1+0.5}\\\\v = \dfrac{y}{1+0.5} + 30[/tex]
Substitute the value of v from equation 1 to equation 2,
[tex]v = \dfrac{y}{1+0.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y}{1.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y +30(1.5)}{1.5}\\\\y (1.5) = 0.5(y +45)\\\\1.5y = 0.5y + 22.5 \\\\1.5y - 0.5y = 22.5\\\\1y = 22.5\\\\y = 22.5 \ miles[/tex]
Hence, The required distance of Jack's father's work from home is y = 22.5miles.
To know more about Distance click the link given below.
https://brainly.com/question/14036614
Find the median and mean of the data set below: 49 , 18 , 4 , 50 , 15 49,18,4,50,15
Answer: Median is 18 and mean is 29.7
Step-by-step explanation:
Can two polynomials be subtracted such that the difference is a trinomial? If so, give an example. (1 point) O Yes. (3x + 3) - (3x + 2y + 3) O Yes. (3x + 3) - (2x + y + 3) O No. Two polynomials can never be subtracted such that the difference is a trinomial. O Yes. (3x + 3) - (2x + 2y + 4)
Answer:
(d) Yes. (3x + 3) - (2x + 2y + 4)
Step-by-step explanation:
The first answer choice results in a monomial, -2y
The second answer choice results in a binomial, x -y
The third answer choice is proved wrong by the fourth answer choice.
The fourth answer choice results in x -2y -1, a trinomial.
i would like it if u can help me solve this
( 4x +79 = 4- 8 )
Please an thank u :)
Answer: - 84/3
Step-by-step explanation: hope this helps!
Answer:
-83/4
Step-by-step explanation:
Cause
I NEED HELP WITH 8, 9 AND 10
Answer:
with whattttttttttt is it a test
Construct the graph of the direct proportion y = kx for k = -1
Answer:
In le picture
The graph of the direct proportion y = k x for k = -1 is shown in figure.
Here,
We have to find the graph of the direct proportion y = k x for k = -1.
What is linear function?
A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Now,
The graph of the direct proportion y = k x for k = -1 is shown in figure.
Learn more about the linear function visit:
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5 + 2z/3 + 1 what is this? please help
Answer:
Solution
6+2/3
Step-by-step explanation:
Find x and y so the quadrilateral is a parallelogram
Answer:
Result
x = 7 y = 4Step-by-step explanation:
Given the parallelogram
Here are some of the properties of a parallelogram:
The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.We know that the diagonals of a parallelogram bisect each other.
In our case, the diagonals PR and QS bisect each other.
Thus, we get
RT = TPGiven RT = x and TP = 5x-28, so
[tex]x = 5x-28[/tex]
[tex]5x-x = 28[/tex]
[tex]4x = 28[/tex]
divide boh sides by 4
[tex]4x/4 = 28/4[/tex]
[tex]x = 7[/tex]
Therefore, the value of x = 7Similarly, we can determine the value of y.
As
[tex]QT = TS[/tex]
Given QT = 5y and TS = 2y+12, so
[tex]5y = 2y+12[/tex]
[tex]5y-2y = 12[/tex]
[tex]3y = 12[/tex]
divide both sides by 3
[tex]3y/3 = 12/3[/tex]
[tex]y = 4[/tex]
Therefore, the value of y = 4Result
x = 7 y = 4Gerald has three fewer marbles than Jan together they have 21 marbles which equation represents the situation
Answer:
b
Step-by-step explanation:
34 + 35 Because why not
Answer:
69
Step-by-step explanation:
I need help with this !!
Answer:
the twins will always have the same age
Step-by-step explanation:
the equation for jasmine's age is 2(3x+6), while the equation for james's age is 3(2x+4)
2(3x+6) = 2*3x + 2*6 = 6x + 12
3(2x+4) = 3*2x + 3*4 = 6x + 12
since both have the same equation, both will be the same age when you plug in the same x value
can someone help me asapp !!!!
Answer:
he has 10 type of each coin
Step-by-step explanation:
Total number of cents in possession is calculated as;
= 25 + 10 + 5
= 40 cent
Total amount in possession = $4
= 400 cent
Since he has equal number of each cent, let this equal number be "y";
40cent (y) = 400cent
40y = 400
divide both sides by 40
[tex]\frac{40y}{40} = \frac{400}{40} \\\\y = 10[/tex]
Therefore, he has 10 type of each coin
x cubed = -27, X=
help pls
Answer:
Theres not enough information
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
[tex](-3)^3[/tex] [tex]=(-3)(-3)(-3) = 9(-3)= -27[/tex]
Can someone help solve these
Answer:
a soln
x+52=180(co interior angles)
x=180-52
x=128
Rewrite each linear inequality in slope-intercept form. Then graph the
solutions in the coordinate plane.
y - x< 3
Answer:
Slope intercept form is y < x+3
The graph is below
=====================================================
Explanation:
To get the inequality into slope intercept form, we add x to both sides getting y < x+3
Now let's graph y = x+3, which is the boundary line of the inequality.
This line has slope of 1 and y intercept 3. Two points on this line are (0,3) and (1,4). Make this boundary line a dashed line to indicate "points on the boundary are not part of the solution set"
We shade below the dashed boundary line due to the "less than" sign. You could also use a test point like (0,0) to see that it's part of the solution set, so that point is in the shaded region.
Refer to the graph below.
Answer: you have to do the steps this is to boost your confident to do ur own
Step-by-step explanation:......
4. Suppose a submarine is diving from the
surface of the water at a rate of 80 feet
per minute. Which integer represents
the depth of the submarine after
7 minutes?
A. 80
B. 560
c. -80
D. -560
Answer:
b
Step-by-step explanation:
80 × 7 = 560 for the answer
I need help please bsbshshhdbdbdbdbbdbdbfbdbdndn
Answer:
x is 3.4 i think
Step-by-step explanation:
It’s not 47.5 help please
Suppose the radius of a circle is 3 units what is the circumference
Answer:
[tex]6\pi[/tex] or approximately [tex]18.85[/tex] units
Step-by-step explanation:
The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, [tex]r=3[/tex], so after plugging that into [tex]C=2\pi r[/tex], we get:
[tex]C=2\pi r\\ = 2*\pi *3\\=6\pi[/tex]
Since [tex]\pi[/tex] is approximately [tex]3.1415[/tex], [tex]6\pi =6*3.1415=18.849[/tex], which rounds to [tex]18.85[/tex]. Therefore, the circumference of the circle is [tex]6\pi[/tex], or approximately [tex]18.85[/tex] units. Hope this helps!
Alexa and Siri are 22 miles apart on a trail. They start moving toward each other. Siri moves at a constant speed of 1.5 miles per hour. Alexa walks at a constant speed of 2.5 miles per hour. How long does it take until Alexa and Siri meet on the trail?
Answer:
Alexa and Siri are 22 miles apart on a trail. They start moving toward each other. Siri moves at a constant speed of 1.5 miles per hour. Alexa walks at a constant speed of 2.5 miles per hour. How long does it take until Alexa and Siri meet on the trail?
Step-by-step explanation:
Alexa and Siri are 22 miles apart on a trail. They start moving toward each other. Siri moves at a constant speed of 1.5 miles per hour. Alexa walks at a constant speed of 2.5 miles per hour. How long does it take until Alexa and Siri meet on the trail?
The length of a new rectangular playing field is 6 yards longer than double the width. If the perimeter of the rectangular playing field is 294 yards what are the dimensions?
Answer:
width = 47
Length = 100
Step-by-step explanation:
The perimeter of the rectangle has the formula
P = 2(L + W)
P = 2L + 2W
Length = 6 yards longer than double it's width.
Mathematically,
length = 6 + 2W
We put this into the formula for perimeter
P = 2(6+2W)+2W
294 = 12+4W+2W
294 = 12+6W
Collect like terms
294-12 = 6W
282 = 6w
Divide through by 6
W = 282/6
W = 47
This is the width
Remember length = 6 + 2(W)
So
Length = 6+2(47)
= 6+94
= 100
Width = 47
L = 100
These are the dimensions
Find the volume of the cone. Round your answer to two decimal places.
») If 5y = 25, which property of equality was used to
keep the equation 5y - 7 = 25 - 7 equal?
») Convince Me!
What other properties of equality could you apply to
keep the equation 5y = 25 equal? Give an example of
each.
Answer:
a. Subtraction property
b. Addition property and Multiplication property
Step-by-step explanation:
Given
[tex]5y = 25[/tex]
Solving (a): Which property is applied to [tex]5y-7 = 25-7[/tex]
The property applied is the subtraction property of inequality, and it states that:
If [tex]a = b[/tex]
Then
[tex]a - x = b - x[/tex]
So, in this case:
[tex]a = 5y, b = 25\ and\ x=7[/tex]
Solving (b): Other properties
1. The additive property of equality
If [tex]a = b[/tex]
Then
[tex]a + x = b + x[/tex]
So, the expression can be written as:
[tex]5y + 12 = 25 + 12[/tex]
When 12 is subtracted from both sides, the equation returns to the original
i.e.
[tex]5y + 12 - 12 = 25 + 12 - 12[/tex]
[tex]5y = 25[/tex]
2. The multiplication property of equality
If [tex]a = b[/tex]
Then
[tex]a * x = b * x[/tex]
So, the expression can be written as:
[tex]5y* 2 = 25 * 2[/tex]
[tex]10y = 50[/tex]
When both sides are divided by 2, the equation returns to the original
i.e.
[tex]\frac{10y}{2} = \frac{50}{2}[/tex]
[tex]5y = 25[/tex]
Answer:
I Have the same question
Step-by-step explanation:
I will mark you as brainliest please help quickly I have 15 minutes!
Answer:
Blue line: b value: 4 m value: -1/3 Inequality: < Red Line: b value: 2 m value: 2 Inequality: >
Step-by-step explanation:
4=-1/3(0)+b
4=b
0=2(-1)+b
0=-2+b
2=b
Rico thinks it's a perfect square triinomiall. Teresa says it's the difference of two squares. Who is
correct. -9x2-30x-25
Answer: Rico is right.
(-1)(3x + 5)²
Step-by-step explanation: If it were the difference of two squares, the -30x would not be there.
It makes sense to factor out (-1) fry the trinomial, leaving all positive terms.
Then factor 9x² + 30x + 25 as
(3x + 5)²
There are 15 more boys than girls in 7th grade. There are 55 boys in 7th grade. How many girls are in 7th grade?
Answer: 40
Step-by-step explanation:
Easy subtraction
55 - 15
= 40
Answer:40
Step-by-step explanation:
Just subtract 55 and 15
please help me on my math hw
Since all sides are equal, all angles equal 60 degrees
3y= 60
y=20
2x=60
x=30
Pls Help, I will mark Brainliest! Everythings in the pic that i need answered.
Answer:
Option 1, y = 3·x³ - 3 is not a linear function because the power of x is 3
Option 2 is a linear function of the form y = m·x + c, where m = 8.75 and c = 0
Option 3 is not a linear function because the power of x is -1 ≠ 1
Option 4 is a curved line graph and therefore is not a linear function
Option 5 is a linear function because the points of the graph are in a straight line
Option 6 is a linear function because the it has a straight line graph
Option 7 is a linear function because the "y" values has a common first difference of -15
Option 8 is not a linear function because the "y" values do not have a common first difference. (1 - 2) ≠ (2/3 - 1)
Option 9 is not a linear function because the data does not form a graph with a straight line
Option 10 is not a linear function because the dependent variable or "y" values which are the HEIGHT (YARDS) values, do not have a constant or common first difference (7.2 - 0) ≠ (10.7 - 7.2)
Step-by-step explanation:
A linear function is a function with a straight line graph and the general equation of a linear function is of the form, y = f(x) = m·x + c.
The linear function has one dependent variable, "y" and one independent variable "x" with the exponent of the x being the first power or one and the "y" values has a common first difference value
What’s 34% of 120?
Please help
40.8 is 34% of 120
you simply do .34 x 120.
If you were trying to do something like: 40.8 is what percent of 120? then you would do 40.8/120, and get .34, which is 34%.
i need help i don’t understand this...
Answer:
C. mean
(The class average will be higher)
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
