Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 second faster than Julio. How long did it take Pete to finish the race?
Answer:
It took Peter 28 minutes and 10.82 seconds to finish the race.
Step-by-step explanation:
We have that:
[tex]t_{A}[/tex]: Antonio = 28 min + 11.00 s (1)
[tex]t_{J}[/tex]: Julio = A - 0.08 s (2)
[tex]t_{P}[/tex]: Pete = J - 0.1 s (3)
Then, the time at which Pete finished the race is:
[tex] t_{P} = t_{J} - 0.1 [/tex] (4)
By entering equations (1), (2), (3) into (4) we have:
[tex] t_{P} = (t_{A} - 0.08) - 0.1 [/tex]
[tex] t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s [/tex]
Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.
I hope it helps you!
If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.
Step-by-step explanation:
Since, K is the midpoint of JL.
[tex] \therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}[/tex]
Which is the function represented by the table?
Answer:
the answer is f(x) = x + 5 ( the first option)
Step-by-step explanation:
choose the correct statement
A. w=x+y
B. w=x+z
C. w=y+z
D. w=x+y+z
Answer: A. w = x+y
Step-by-step explanation:
w is an exterior angle so the two remote angles x and y has to equal it.
Answer:
w = x+y
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles of the triangle
w = x+y
It’s 37 divided by 6
Answer:
[tex]6 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]37 \div 6 = 6 \: remainder \: 1 \\ = 6 \frac{1}{6} [/tex]
PLEASE HELP ME WITH THIS QUESTION!
Answer:
91
Step-by-step explanation:
the angle adjacent to x is corrsponding with angle 89 meaning it is the same:
180 - 89 = 91
15 -g = 23-2g
Help me solve for “g”
Answer:
g = 8Step-by-step explanation:
15 - g = 23 - 2g
+2g +2g
15 + g = 23
-15 -15
g = 8
Answer:
g=8
Step-by-step explanation:
15-g=23-2g
g=23-15
g=8
Isabel needs to cut a square piece of wood with the area of 70 in.² approximate the size of the square and round to the nearest 10th of an inch
Answer: 8.4 inch
Step-by-step explanation:
To find the size of the square, just find the square root of 70. Because the area of a square is the side length squared
[tex]\sqrt{70}[/tex] = 8.3666 rounded to the nearest 10th is 8.4 inch
Mak deposited $493.12 in a savings account that earns 3.2% simple interest. What is Mak's account balance after 13 years?
Answer:
$698.26
Step-by-step explanation:
Deposit = $493.12Interest rate = 3.2% simpleTime = 13 yearsBalance after 13 years:
493.12*(1 + 3.2*13/100) = 698.26Irrational numbers are _____ integers. sometimes never always
Answer:
Hey there!
Irrational numbers are NEVER integers. All integers are rational.
Hope this helps :)
Complete this expression using the distributive property: 5(4 + 8) = 5 MINUTES PLEASEE I WILL GIVE YOU SOOO MUCH POINTSS!!!
Answer:
see below
Step-by-step explanation:
5(4 + 8) =
Distribute
5*4 + 5*8
20 + 40
60
Answer:
60
Step-by-step explanation:
We want to complete the expression using the distributive property. The expression is:
5(4+8)
Distribute first. Multiply each number inside the parentheses by the number outside the parentheses, which is 5.
(5*4)+(5*8)
Multiply 5 and 4.
20+(5*8)
Multiply 5 and 8.
20+40
Add 20 and 40.
60
The expression 5(4+8) is equal to 60.
Put the following equation of a line into slope-intercept form, simplifying all fractions. x + 3y =21
how much dollars is in 14 quarters and 5 nickels
Answer:
$4.25
Step-by-step explanation:
4 quarters is 1 dollar
1 nickel is 5 cent
14 divided by 4 = 3.5
3.5 + 5 times 5 = $4.25
Step-by-step explanation:
1 dollar = 4 quarters
1 dollar = 20 nickel
1 nickel = 0.2 quarter
5 nickel = 0.2 x 5 = 1 quarter
14+ 1 = 15 quarter
15 quarter = 3.75$
Work out the angles marked x in each diagram you must show your working
Answer:
this how I got the answer
Step-by-step explanation:
find the angle A ..B
it's a straight line so 180.
180_148=32
In angle C..it's a full turn.so 360
360_290=70
we just have to find one more angle...
it's a straight line ..so as we know 180
32+70=102
180_102=78
The pairs 3, 12 and 4, 9 are factor pairs of which number? A) 32 B) 36 C) 44 D) 82
Answer:
When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.
In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:
3 * 12 = 364 * 9 = 36We can factroize 36 like this: 2*2*3*3, and:
2 = 24 = 2*29 = 3*312 = 2*2*3The factor pairs belong to the number 36.
What is factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
As per the given data:
The factor pairs are as follows:
3, 12
4, 9
We have to find out that of which number these factor pair belongs.
When the factors of any number are multiplied with each other, we get that number.
For finding out the number, we need to multiply the factor pairs:
3 × 12 = 36
4 × 9 = 36
The factor pairs belong to the number 36.
Hence, The factor pairs belong to the number 36.
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hey do anybody know 14+18÷2×18-7
Answer:
169
Step-by-step explanation:
14 + 162 - 7 = 169
hoped this helped:)
ASAP!! NEED HELP WITH ONLY 21 AND 23 !!!
Let f be a linear function such that f(1) = 5 and f(3) = 9. Find an equation for f(x).
Answer:
[tex]f(x)=2x+3[/tex]
Step-by-step explanation:
So we know that:
[tex]f(1)=5 \text{ and } f(3)=9[/tex]
In other words, we have 2 coordinates: (1,5) and (3,9).
With this, we can figure out the slope. Let (1,5) be x₁ and y₁ and let (3,9) be x₂ and y₂. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{9-5}{3-1}\\m=4/2=2[/tex]
So, the slope is 2.
Now, use the point-slope form to figure out the y-intercept. The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
For consistency, let's continue to use (1,5) as x₁ and y₁. Now, we can use 2 as m. Thus:
[tex]y-(5)=2(x-1)[/tex]
Distribute:
[tex]y-5=2x-2[/tex]
Add 5 to both sides:
[tex]y=2x+3[/tex]
So:
[tex]f(x)=2x+3[/tex]
And that's our equation :)
1 If 2x+2 = 32, then x =
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c. 3&4
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c. -2/3 d. -3/5
en a 60 are.
-b IVb2
+ 4ac
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-b7b2 - 4ac
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ents a
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Dato:
Page
:
34
(where a=27 and
1) Find the value of 33 + b
b f16
Sharonda is plotting quadrilateral PQRS on the graph below She
will plot the fourth and final vertex, S, at (9, 5) What will be the length of side PS
Answer:
7 :)
Step-by-step explanation:
Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.
What is quadrilateral?A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.
Length of side PS can be calculated using the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
P(-2, 5) = ([tex]x_1,y_1[/tex]) (the coordinate of P is gotten from the graph).
Given that,
S(9, 5) = ([tex]x_2,y_2[/tex])
PS = [tex]\sqrt{(9-(-2))^2+(5-5)^2}[/tex]
PS = [tex]\sqrt{11^2+0^2}[/tex]
PS = [tex]\sqrt{121}[/tex]
PS = 11units.
Thus, the answer is 11 units.
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PLEASE HELP ME WITH THIS QUESTION
Answer:
x = -2
y = -4
Step-by-step explanation:
Graph the systems of equations. Then analyze the graph for the intersection. The point of intersection will be your solution set.
Answer:
[tex]x = -2\\y = -4[/tex]
Step-by-step explanation:
Question
[tex]\left \{ {{-2x + 2y = -4} \atop {3x + 3y = -18}} \right.[/tex]
Multiply throughout the equation to eliminate a variable:
[tex]-2x + 2y = -4[/tex] becomes [tex]-6x + 6y = -12[/tex] when multiplied by 3
[tex]3x + 3y = -18[/tex] becomes [tex]6x + 6y = -36[/tex] when multiplied by 2
Then add the values of the variables together:
[tex]-6x + 6x = 0\\6y + 6y = 12y \\-12 - 36 = -48[/tex]
And a new equation forms:
[tex]0 + 12y = -48[/tex]
[tex]y = -4[/tex]
Plug in [tex]y[/tex] to any of the previous equations to solve for [tex]x[/tex] :
[tex]-2x + 2y = -4[/tex]
[tex]-2x + 2(-4) = -4[/tex]
[tex]-2x - 8 = -4[/tex]
[tex]-2x = 4[/tex]
[tex]x = -2[/tex]
ANSWER FAST PLZ .............
Answer:
a) T
B) WT and TZ
C) ZTU
D) YTX
E) YT and WT
F) Angle 5 - right angle
G) obtuse angle (>90)
H) acute angle (<90)
I) obtuse angle, unless it means the other side which would be a reflex angle instead (>180)
Hope this helped!
solve for h h+6/5=2
Answer:
h=0.8
Step-by-step explanation:
Steps
$h+\frac{6}{5}=2$
$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$
$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$
Show Steps
$\mathrm{Simplify}$
$h=\frac{4}{5}$
Answer:
The answer would be 2h
Step-by-step explanation:
please let this be helpful
How can undefinable terms be used to create precise mathematical definitions?
Answer:
This is done by stating descriptions of these terms.
Step-by-step explanation:
Undefinable terms are terms with no formal definitions. Formal definitions are obtained when specific words are used to define a term. In mathematics, specifically, Geometry words like line, point, and plane have no definite definition, So descriptions are used to identify them.
For example, in describing a point, we note that a point has no dimensions, it is usually denoted with a capital letter, and it indicates a position. Also in a coordinate plane, it is denoted with descriptions such as (u,v). Corresponding descriptions are given of other undefinable terms.
Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater? Badwater is feet below sea level.
Answer: Badwater is 282 feet below the sea level.
Step-by-step explanation:
Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.
To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.
i.e. The Depth of Badwater from sea-level = 190 feet +92 feet
= 282 feet
Hence, Badwater is 282 feet below the sea level.
Answer:
282
Step-by-step explanation:
190+(92)=282
Thank you! :)
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family ordrs several lare pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family the equation y=10x represents the relationship where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson familiies? Select two options.
Answer:
The CORRECT anser is B and D
Step-by-step explanation:
Hope this helps I just took the quiz!
I need to write an equation for One-fifth of a number x is 25
Step-by-step explanation:
that's it!! pls mark me as Branliest..
Can anybody help me please!!!
Answer:
it's in the picture
Step-by-step explanation:
it's in the picture
I am a 4 digit number my one digit is 2 my tens digit is 4 times greater then my ones my hundreds and thousands digits are both 3 greater then my ones what number am i
Answer:
6682
Step-by-step explanation:
So we have a 4 digit number and we need to find all the digits of it.
First, we are told that the one digit is 2. So the number is xxx2
Now, we know that the tens digit is 4 times greater than the ones, thus, the tens digits is 4 times 2, this is 4(2) = 8. Thus, the tens digit is 8 and the number is xx82.
Finally we know that the hundreds and thousands are both 3 times greater than the ones, so the digits are 3(2) = 6. Thus the hundreds and thousands are 6 and the final number is 6682.