Distance ran by Jake in a day is 17.33 miles.
It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.
We have to find the distance ran by him in a day.
Let the distance ran by him in a day be x miles.
We know that there are 7 days in a week.
Hence, according to the data given in the question, we can write,
Number of days in a week * distance ran in a day = total distance
Hence,
7*x = 121.3 miles
Solving the linear equation, we get,
x = 121.3/7 miles
x = 17.3285 ≈ 17.33 miles
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 Given: Segment AB & "congruent to" Line Segment AC. AB = 5x + 18, BC =7, Perimeter of ABC (triangle ) = 53. Find the value of x and length of AC.
Answer: x=1, AC=23
Step-by-step explanation:
ABC=AB+AC+BC
53=5x+18+5x+18+7
53=10x+36+7
53=10x+43
10x=10
x=1
AC=5x+18
AC=5(1)+18
AC=23
2. Polygon EFGH is a scaled copy of Polygon ABCD.
Name the segment in the scaled copy that
corresponds to segment AB.
1A
The name of the segment in the scaled copy that corresponds to segment AB is segment EF
How to name the segment in the scaled copy that corresponds to segment AB?The given parameters are:
Polygon EFGH is a scaled copy of Polygon ABCD.
This means that the corresponding points are
E = A
F = B
G = C
H = D
Remove points C and D
So, we have
E = A
F = B
Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF
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does someone mind helping me with this question? Thank you!
Answer: Slope: 3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(4-(-2))/(3-1)
m=(4+2)/2
m=6/2
m=3
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.
How are time, distance, and speed related?Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.
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Makayla mows two lawns the first lawn in 10 feet lawn and 7 feet wide the area of the second lawn is 7 times as big but has the same width as the first what it the length of the second lawn
The second lawn that Makayla mows has a length of 70 feet.
If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.
A = l x w
Area of first lawn = 10 feet x 7 feet
Area of first lawn = 70 ft^2
If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:
Area of second lawn = 7 x Area of first lawn
Area of second lawn = 7 x 70 ft^2
Area of second lawn = 490 ft^2
If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.
A = l x w
Area of second lawn = l x w
490 ft^2 = l x (7 feet)
l = 70 feet
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Which is the absolute value of - 26/91 in simplest form?
Answer:
(2/7)
Step-by-step explanation:
As far as I know, an absolute value number is never negative. So you would do |-26/91| which would give you the positive fraction of (2/7). I don't think the fraction could get any simpler than that.
Please help giving Brainiest
(1/2)²-6(2-2/3)
(1/2)²-6(2-2/3)
LCM=6
1/2²-6(2/1-2/3)
12-4
______
6
1/2²-6(8/6)
1-(48/36)
1-(4/3)
= -4/3
could i get some help please <3 thank you in advance
|2x + 3) = - 5
3x-6) ≥-3
|2x + 5| ≤ - 7
Step-by-step explanation:
2x + 3 = -5
2x = -8
x = -4
3x - 6 ≥ -3
3x ≥ 3
x ≥ 1
|2x + 5| ≤ - 7
NO SOLUTION
Why?
since the absolute value is always positive, there is no way that it would be less than or equal to -7
the equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form y
The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
The available points are (3,5) and (9,10).
The line's slope is given by:
[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]
The equation is as follows:
[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]
Solve it to obtain the equation:
[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]
Therefore, the equation is 5x - 12y = -75.
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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.
Someone help me with this question
Answer:
Angle Bisector I believe
Step-by-step explanation:
Apologies if I am wrong
how is everyone?
10+2x3=??
Answer:16
Step-by-step explanation:
2x3+10
Answer:
The answer is 60
Step-by-step explanation:
10+2= 20
20x3=60
A firm has sales of $4690, costs of $2490, interest paid of $164, and depreciation of $463. the tax rate is 30 percent. what is the cash coverage ratio?
13.41% is the cash coverage ratio.
What do we mean by cash coverage ratio?The cash coverage ratio is a calculation that assesses a company's ability to pay off its liabilities with cash that it already has. It is a method of determining a company's liquidity. Only cash and cash equivalents are included in the cash coverage ratio. It excludes things like accounts receivable and inventory.To find the cash coverage ratio:
The cash coverage ratio is calculated as follows:
But first, the EBIDTA Is:
EBIDTA = Revenue - Cost= 4,690 - 2,490= 2,200The Cash Coverage Ratio is now:
= (EBIDTA) ÷ Interest= 2,200 ÷ 164= 13.41Therefore, 13.41% is the cash coverage ratio.
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A fruit juice company includes 1.088 ounces of pineapple juice in a 6.55 ounce bottle of a mixed fruit juice how much of the bottle mixed fruit it’s not pineapple juice
Answer:
5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.
Step-by-step explanation:
One week, Kayden earned $146.00 at his job when he worked for 10 hours. If he is
paid the same hourly wage, how many hours would he have to work the next week to
earn $43.80?
Answer:
3 hours
Step-by-step explanation:
you take the amount that was earned and divide it by the amount he works.
[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]
then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.
[tex]\frac{43.80}{14.6} = 3 hours[/tex]
What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?
It's not 1.6
2
Given f(x)=x²-3x - 23 and
g(x)=x-1, find (fog)(x).
The required function is (fog)(x) = x^2 – 5x – 19
We have been given two functions which are:
f(x) = x^2 – 3x – 23
g(x) = x – 1
We need to find (fog)(x) which is also equal to f(g(x)).
In this, we have to replace x with the function g(x) in the function, f(x). numerically
f(g(x)) = g(x)^2 – 3g(x) – 23
Now we will write the value of g(x) in the above equation. We will get
f(g(x)) = (x-1)^2 – 3(x-1) – 23
f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23
f(g(x)) = x^2 – 5x – 19
Hence (fog)(x) = x^2 – 5x – 19 is the required function.
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Cynthia receives a gift of r7, 500 she decides to invest it for 3years, she is offered two saving option:option a:8% interest p.a simple interest
The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.
Simple interest:
Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
The formula used to calculate the simple interest is
SI = P × R × T
P = The principal is the amount that initially borrowed from the bank or invested.
R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.
T= Time is the duration for which the principal amount is given to someone.
Given,
Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.
Here we need to find the simple interest.
We know that,
P = 7, 500
R = 8/100 = 0.08
T = 3
So, the simple interest is,
SI = 7,500 x 0.08 x 3
SI = 1800
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Which angles are supplementary to the given angle? I need help
Answer: 4567
Step-by-step explanation:
ABC = 25x + 34
CBD= 11x +23
Find ABD CBD and ABC
The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Bisection of anglesAngles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
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Mr. Morris borrowed $25,000 from the bank. The time of the loan was 4 years. How much will he pay if the interest rate is 5.25%? (Use simple interest.)
You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?
Answer:
C
Step-by-step explanation:
153/56= 207G
You roll a number cube. What is the probability that you roll an even number or a number less than 5?
Determine whether the statement is always, sometimes, or never true if three points are collinear , then they are also coplanar
always
sometimes
never
The statement is sometimes true.
What is collinear points?Points that are located along a single or shared straight line are referred to as collinear points. If two or more points on a line are situated either close to or far from one another, they are said to be collinear in Euclidean geometry.
Three points are automatically coplanar if they are collinear.
What was just said is sometimes true.
This is because three points along a line are typically recognized to be collinear, however it is not always the case.
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Please help!!
Please help determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
3x^(2)+5x-8=0
The discriminant is:
D = 5^2 - 4*3*(-8) = 121
Then we have two real solutions.
How to determine the discriminant?
For a quadratic equation:
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4ac
If D > 0, we have two real solutions.
If D = 0 we have one real solution (it is thought as two equal solutions)
if D < 0, we have two complex solutions.
In this case, the quadratic equation is:
3x^2 + 5x - 8 = 0
Then:
a = 3
b = 5
c = -8
The discriminant is:
D = 5^2 - 4*3*(-8) = 121
Then we have two real solutions.
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WILL GIVE BRAINLIEST!!!!!
Use the Segment Addition Postulate to solve the problem below.
Point B is the midpoint of line segment AC.
line segment AC = 5
line segment AB = 3x – 5
Part A - Draw line segment AC, clearly labeling ALL points and ALL measures given above.
Part B - Find the value of x, showing ALL work. This may be typed or handwritten>
The value of x from the given line segment is 1 2/3.
Given that, line segment AC = 5 and line segment AB = 3x - 5.
We need to find the value of x.
What is the line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Since point B is the midpoint of the line segment AC.
AB=BC=3x - 5
Now, AC=AB+BC
⇒5=3x - 5+3x - 5
⇒6x=15
⇒x=15/6
⇒x= 5/3
⇒x=1 2/3
Therefore, the value of x from the given line segment is 1 2/3.
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Will mark brainly-est. Please Help me with this Geometry question.
12. Which is the simplified expression of -8(2m + 9k-13)?
-16m+9k-13
A.-16m +9k - 13
B. -16m - 72k + 104
C. -16m-72k - 104
D. 16m - 72k - 104
-16m - 72k + 104 is the simplified expression .
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Expression can be a commonly used word or phrase or a means of expressing your ideas, emotions, or sentiments. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.the simplified expression of -8(2m + 9k-13)
= -8(2m + 9k-13)
= -16m - 72k + 104
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What is the length of BC in the right triangle below?
12
16
OA. 4
OB. 28
OC. 20
OD. 400
OE. 96
OF. √96
Answer:
C. 20
Step-by-step explanation:
Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].
[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.
So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.
[tex]\sqrt{400}[/tex] = 20.
20 is your answer.
4d-(5b+3) for d=-8 and for b=-3
Answer:
I believe the answer would be 384
Step-by-step explanation:
4×-8 (5× -3+3)
-32 × -12
384
BOOM!!! Your Welcome
how do i find DQ and what is the answer
Answer:
Step-by-step explanation:
could you explain better?
