Answer:
10
Step-by-step explanation:
Divide both sides by 4
A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.
Answer:
2.5x + 5y = 12.5
Step-by-step explanation:
The solution is 2.5x + 5y = 12.5
The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
The total distance ran by the marathon participant = 12.5 miles
Let the time taken by the participant to walk be = x
Let the time taken by the participant to run be = y
Now , the speed of the participant when walking = 2.5 miles per hour
The speed of the participant when running = 5 miles per hour
So , the equation will be
The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk
Substituting the values in the equation , we get
The distance traveled when walking = 2.5x
And ,
The distance traveled when running = speed of the participant when running x time taken by the participant to run
Substituting the values in the equation , we get
The distance traveled when running = 5y
Now ,
The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running
Substituting the values in the equation , we get
2.5x + 5y = 12.5
Therefore , the equation will be 2.5x + 5y = 12.5
Hence , the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run
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According to a posting on a website subsequent to the death of a child who bit into a peanut, a certain study found that 4% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 43% had a history of severe reaction. (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction
Answer:
0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction
Step-by-step explanation:
We are given these following probabilities:
4% probability of that a child younger than 18 in the United States has at least one food allergy.
If a child has at least one food allergy, 43% probability of having a history of severe reaction.
If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction
The multiplication of the probabilities. So
0.04*0.43 = 0.0172
0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction
.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help
Answer:
5x+32y+76
Step-by-step explanation:
First, distribute.
4 x 2x = 8x
4 x 8y = 32y
4 x 9 = 36
Then, combine like terms.
8x - 3x = 5x
36 + 40 = 76
And that leaves 5x+32y+76
Pls help meeeeeee ahhhhhhh!
Answer: 8x+7
Step-by-step explanation:
The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!
can u pls help me with this question 2
What is the slope of the line shown below? • (3,9) O A. -3 ch (1,3) O B. -6 O c. 6 O D. 3 # SUBM
The slope of the line with the coordinate points (-3, 9) and (1, 3) is -1.5.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
The given coordinate points are (-3, 9) and (1, 3).
Substitute, (x₁, y₁)=(-3, 9) and (x₂, y₂)=(1, 3) in the slope formula, we get
Slope = (3-9)/(1-(-3))
= -6/4
= -3/2
= -1.5
Therefore, the slope is -1.5.
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Charmaine drives a truck for a soft drink company. Her truck is filled with 20 ounce cans and 80 ounce bottles. Let x be the number of 20 ounce cans the truck is carrying, and let y be the number of 80 ounce bottles.The truck must be carrying at most 48,000ounce). Using the values and variables given, write an inequality describing this
9514 1404 393
Answer:
20x +80y ≤ 48000
Step-by-step explanation:
If x is the number of 20-ounce cans, then the number of ounces in the cans is 20x.
If y is the number of 80-ounce bottles, then the number of ounces in the bottles is 80y.
"At most 48,000 ounces" means the total of ounces of cans and ounces of bottles must be less than or equal to 48000.
20x +80y ≤ 48000
WILL MARK BRAINLYIST what are the values of X,Y, and z
Answer:
x=111, y=36, z=76
Step-by-step explanation:
Given the function f(x) =2x+5 what would the output be with an input of 6?
BEG is a triangle ABC and DEF are parallel lines workout the size of angle x
Answer:
Step-by-step explanation:
Here the answer
Answer:
Angle X i belive is a right angle
Write a expression with the same meaning as the sum of 3 and the quotient of a number divided by 6
A spinner numbered 1 to 8 is spun and a six-sided die is rolled. What is the probability of getting a multiple of 4 on the spinner and a multiple of 4 on the die?
Answer:
1/24
Step-by-step explanation:
P(4,8 and 4) = 2/8 x 1/6 = 1/24
Help me pleaseeeeeeeeeeeeee
Aubree took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.20 plus $2.75 per mile. The total fare was $59.95, not including the tip. How
many miles was the taxi ride?
Which of the following functions is graphed below?
Answer:
i think it is Answer D i am not sure
Step-by-step explanation:
Jamal pays $29.25 for 3 pounds of cocoa powder. Assume that the cost y, in dollars, is proportional to the amount of cocoa powder x, in pounds. find the slope
Answer:
Step-by-step :
Your answer
Your answer
9.75
Mark it as Brainlist answer. Follow me.
Mark it as Brainlist answer. Follow me.
Explain how you could the surface area and volume of the water tower
Answer plz and fastttttttttttttttttt
Answer:
A. 576 gallons
Step-by-step explanation:
60% of 1,440 = 864
1,440 - 864 = 576
so there are 576 gallons left to fill to the top
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
__
The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
__
Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.
PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION
This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.
(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)
Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.
please help! will give brainliest
Answer1.79
Step-by-step explanation:
jayfeather friend me
Determine if the lines are parallel, perpendicular or neither: x = 5 and x = -2
APQR is similar to AXYZ.
What is the length of XZ?
Answer:
15
Step-by-step explanation:
scale factor is 1.5
10*1.5 =15
CAN SOMEONE PLEASE HELP ME?
Solve the equation: (5x+1/2)^2=9/16
Answer:
x=-7/160
Step-by-step explanation:
Which values of f are solutions for the inequality f > 4?
Picture question middle school math
Answer:
[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]Step-by-step explanation:
to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
59 in²5.4(24 - 3.88x)
expression
use the information in the diagram to determine the height of the tree. the diagram is not to scale.
Answer:
seventy five ft
Step-by-step explanation:
2/3 + 1 1/10 as a fraction
Answer:
Decimal Form:1.766666...
Mixed Number Form: 1 23/30
Exact Form:53/30
Step-by-step explanation:
11. A spinner is divided into 12 equal sections. Five of the sections are labeled with
Even numbers, three sections are labeled with vowels, and four of the sections are
labeled with odd numbers. What is the probability of spinning an odd number? Writeyour answer as a fraction fully reduced.
12. You are choosing an outfit. You can choose from blue jeans, black joans or joggers (3 cholcos).
You can choose from a white tee shirt, Orange too shirt, or gray sweatshirt (3 choices). Finally, you
can choose from your Vans or Crocs (2 choices)
a. A tree diagram would have how many branches? (so how many total choices would there be if
you mutipan 18 choices
b. The counting principal would look like what?
Write your answer like a xbxcxd with you putting in numbers for the letters
c. How many different ways can she choose to write the outfit ?
d. What is the probability that you will choose the joggers, orange tee shirt and Croos? Write your answer as a fraction: a/b with a and being numbers?
Answer:
Probability of spinning an odd number = 1/3
Step-by-step explanation:
4 odd out of 12 sections
Probability of spinning an odd number = 4/12 = 1/3
