Answer:
1 1/2
Step-by-step explanation:
set up a proportion:
8 = 12
1 x
cross-multiply: 8x = 12
x = 12/8
x = 3/2 (simplified)
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
It's on Gradpoint
Answer:
D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
Step-by-step explanation:
Runner A:
Time it takes for him to finish:
t = 26.2/5.6 = 4.679 hours (to complete race)
.
Runner B:
Time it takes for him to finish:
t = 26.2/6.4 = 4.094 hours
BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.
t = 4.094 + .5 = 4.594 hours
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
HELP PLEASEEEEEEEEEE
Answer: 1/125
Step-by-step explanation:
first, i multiplied it.
1/5^3
then, it's easy to evaluate from there.
1/125
Which expression is equivalent to V8x7y8 ?
Answer:
the third one
Step-by-step explanation:
Determine the number of zeros of the polynomial function f(x)= x^8-x^9
Step-by-step explanation:
Determine if odd, even, or neither.
The function is neither even nor odd
Answer:
9
Step-by-step explanation:
The highest power of x is 9: x^9
and therefore this polynomial will have 9 zeros.
Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be
Answer:
24 miles UwU
Step-by-step explanation: G'day mate!
Scott will run at least 25 miles this week. so far he has run 16 miles . what are possible numbers of additional miles he will run?
use t for the additional miles he will run.
write your answer as an inequality solved for t.
Which statement about these triangles is true?
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.
Answer:
VY = 16
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.In the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide VX at the ratio of 2: 1 from the vertex V
∴ VY: YX = 2: 1
∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ VY × 1 = YX × 2
∴ VY = 2YX
∵ YX = 8
∴ VY = 2(8)
∴ VY = 16
Question 5 (2 points)
Here is a diagram of a softball field:
Outfield
Infield
110 ft
250 ft
Use this diagram to answer the questions below.
Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.
HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.
1. The fence around the field (the whole perimeter of the shape) is about
feet
2. The area of the outfield is about
ft
a. The Length of the fence around the field = perimeter of quarter circle is 892.7 ft.
b. The area of the outfield is 39,584 sq. ft..
What is the circle about?Note that:
Perimeter of circle = 2πrPerimeter of a quarter circle = 2r + 1/4(2πr).a. The length of the fence around the field = perimeter of the quarter circle fence
= 2r + 1/4(2πr).
r = 250 ft
Put in the value
The length of the fence around the field = 2(250) + 1/4(2 × π × 250)
= 892.7 ft.
b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)
= 1/4(πR²) - πr²
R = radius of the full field = 250 ft
r = radius of the infield = 110/2 = 55 ft
Put in the values
Size of the outfield = 1/4(π × 250²) - π × 55²
= 49,087 - 9,503
= 39,584 sq. ft.
Learn more about softball from
brainly.com/question/1480756
#SPJ1
PLEASE HELP ILL GIVE U BRAINLIEST 5 STARS AND A THANK YOUUUU
Answer:
i think it’s 3 because 25 x 12 = 3 for percentages
Step-by-step explanation:
i
Answer:
4%
Step-by-step explanation:
There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%
From birth to age 1, baby elephants grow about 220%. If an elephant was 400 pounds at birth, how much does it weigh at age 1?
Answer:
840lbs because that's how much
Answer:
880 pounds
Step-by-step explanation:
400 x 2.2 = 880
use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots. must be right ty helppp asap
Answer:
[tex]k>-3[/tex]
Step-by-step explanation:
We have the equation:
[tex]-3x^2-6x+k=0[/tex]
Where a = -3, b = -6, and c = k.
And we want to determine values of k such that the equation will have real, unequal roots.
In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:
[tex]b^2-4ac>0[/tex]
Substitute:
[tex](-6)^2-4(-3)(k)>0[/tex]
Simplify:
[tex]36+12k>0[/tex]
Solve for k:
[tex]12k > -36[/tex]
[tex]k>-3[/tex]
So, for all k greater than -3, our quadratic equation will have two real, unequal roots.
Notes:
If k is equal to -3, then we have two equal roots.
And if k is less than -3, then we have two complex roots.
Someone plz help me plz
Answer:
3(24+56)
Step-by-step explanation:
3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3
3(24+56)
Answer:
3(24 +56)
Step-by-step explanation:
sum of 24 and 56 means addition
3 times the sum means multiplication
the format you'd use in math would be 3(24 +56)
Scientific notation is written in the form a*10^n. What must be true about the a value?
It can't be longer than 2 digits
It has to be greater than 100
It must be positive
It has to be a single digit between 1 and 10
Answer:
It has to be a single digit between 1 and 10
3/5+1/3= ...............................................................................................................
Answer:
Step-by-step explanation:
you add two fractions:
3/5+1/3=
find the common denominator = it is 15 (3*5)
9/15+5/15=14/15
I really need help with this question thanks
Answer:
The answer is A
Step-by-step example:
I just took the test and got it right hope this helps you!!!
You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?
Answer:
200
Step-by-step explanation:
Amy wants to buy a new set of paints. At store A, the cost is $22.00, and she has a coupon for 20% off. At store B, the cost is $22.50, and she has a coupon for $5 off. Which store has the better buy, and why?
Answer:
Store B
Step-by-step explanation:
Store A
20% is just 1/5 in percent form
22.00= 22*1/5 = 22/5 = 4.40
22.00-4.40=17.6
Store B
22.50-5=17.5
Now you can see that 17.5 is less than 17.6 by 0.1
Plz Plz plzzzzzz answer
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
PLEASE HELP FOR NUMBERS 5 AND 6!! Thank you!
Answer:
Step-by-step explanation:
5. y=40x
6. y=2.2x
What is the slope of the line through
(-8, 10) and (6, 10)?
Answer:
the slope is 0
Step-by-step explanation:
m=0
Answer:
0
Step-by-step explanation:
y2 - y1/ x2 - x1
10 - 10 = 0
6 - (-8) = 14
0/14 = 0
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
what is one way to multiply 178x56
Answer:
Uh.. by just multiplying them.. 178x56= 9968
Step-by-step explanation:
Hav a gud day :P
anyone wanna have a conversation
Answer:
sure
Step-by-step explanation:
Answer:
hii
Step-by-step explanation:
Find the product.
(-7)(5) =
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
A negative times a positive is a negative number:
-7*5=-35
find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?
Answer:
$0.37
Step-by-step explanation:
This can be solved by solving a system of linear equations that is shown above.