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!
(50 points!) Whats 7x + 5z(x-z) ÷ 9y, when x = 5, z = 8, and y = 23. Whoever Gives me an answer AND REALLY GOOD EXPLANATION FIRST gets a free brainliest!
Answer: First we will substitute the numbers given for the variables.
Then we will use order of operations to simplify.
7x + 5z(x - z) ÷ 9y would be equal to
7(5) + 5(8) * (5 - 8) ÷ 9(23)
Simplify:
35 + 40(-3) ÷ 207
Use order of operations to multiply 40 and -3; the equation now looks like:
35 + (-120) ÷ 207
Use order of operations to divide -120 and 207; the equation now looks like:
35 + (-0.6)
Add 35 and -0.6:
34.4
The solution to this equation is 34.4.
Answer:
34.4
Step-by-step explanation:
7x + 5z(x - z) ÷ 9y
7(5) + 5(8) * (5 - 8) ÷ 9(23)
35 + 40(-3) ÷ 207
35 + (-120) ÷ 207
35 + (-0.6)
Add 35 and -0.6:
34.4
Hope this helps!
Which of the following statements about sets of numbers is true?(1 point) All integers are whole numbers. All irrational numbers are integers. All rational numbers are natural numbers. All integers are rational numbers.
Answer:
lol three of them are true!!hahhahahhah
the statement which is wrong is
~ All rational numbers are natural numbers.
Answer:
All integers are rational numbers
Step-by-step explanation:
decrease 216 by 37 1/2%
Step-by-step explanation:
In this question we need to decrease 216 by [tex]37\dfrac{1}{2}\%[/tex] or 37.5 %.
For this, firstly find 37.5 % of 216.
[tex]37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81[/tex]
Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.
So,
216-81 = 135
Hence, 135 is the decrease of 216 by 37.5 %.
The percentage decrease of 216 by 37 1/2% be is 135
Given:
Original value = 216
Percentage decrease = 37 ½%
Decrease = 37 ½% of 216
= 75/2 ÷ 100 × 216
= 37.5 / 100 × 216
= 0.375 × 216
= 81
New value = Original value - Decrease
= 216 - 81
= 135
Therefore, the percentage decrease of 216 by 37 1/2% be is 135
Read more:
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Find all the complex roots of the equation x4 − 16 = 0.
Answer:
4+16=0
4=−16=162
2=±4
Case 1 2=+4
=±2√
√=±(12√+12√)
=±2‾√+2‾√
Case 2 2=−4=43
=±23/2=±2()1/2
∵√=±(12√+12√)
=±(2‾√+2‾√)
So in all,
=2‾√+2‾√
=−2‾√+2‾√
=2‾√−2‾√
=−2‾√−2‾√
Let √=+
Squaring both sides, we have
=(+)2
0+1=2−2+2⟹
2−2=0(1)
2=1
=12
Plugging in (1) … ⟹
2−1(2)2=0
4=14
2=12
∴=±12‾√
∴=±12‾√
∴√=+=±(12+12)
This can also be shown as below
√=12+12
Or
√=−12−12 \
Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g over 24g plus 8g to the second power
Answer:
The least common denominator of the expression is 72g.
Step-by-step explanation:
First, let us write the expression out mathematically
[tex]\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}[/tex]
The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 24 = 24, 48, 72, 96, ...
The least common multiple of 9 and 24 is 72.
Then, the least common multiple of 72 and g is 72g
Hence, the least common denominator of the expression is 72g.
rationalize the denominator
Answer:
The answer is
[tex]\frac{84 - 31 \sqrt{6} }{30} [/tex]Step-by-step explanation:
[tex] \frac{5 \sqrt{3} - 4 \sqrt{2} }{4 \sqrt{3} + 3\sqrt{2} } [/tex]To rationalize the denominator multiply both the numerator and the denominator by
4√3 - 3√2
That's
[tex] \frac{5 \sqrt{3} - 4\sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \times \frac{4 \sqrt{3} - 3 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } [/tex]So we have
[tex] \frac{(5 \sqrt{3} - 4 \sqrt{2})(4 \sqrt{3} - 3 \sqrt{2}) }{(4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) } \\ = \frac{60 - 15 \sqrt{6} - 16 \sqrt{6} + 24 }{16(3) - 9(2)} \\ = \frac{84 - 15 \sqrt{6} - 16 \sqrt{6} }{48 - 18} \\ = \frac{84 - 31 \sqrt{6} }{48 - 18} [/tex]We have the final answer as
[tex] \frac{84 - 31 \sqrt{6} }{30} [/tex]Hope this helps you
Question 7 (1 point) If square PQRS with vertices P (2, 6), Q (6, 5), R (5, 1) and S (1, 2) is rotated 180 degrees, what are the coordinates of S' ? Blank 1: Blank 2: Blank 3: Blank 4:
Answer:
S'(-1, -2)
Step-by-step explanation:
Coordinates of the vertices of the square PQRS have been given as P(2, 6), Q(6, 5), R(5, 1) and S(1, 2)
Rule to rotate a point by 180° about the origin,
(x, y) → (-x, -y)
By this rule new coordinates of the image will be,
P(2, 6) → P'(-2, -6)
Q(6, 5) → Q'(-6, -5)
R(5, 1) → R'(-5, -1)
S(1, 2) → S'(-1, -2)
Therefore, coordinates of S' will be (-1, -2).
Paul and Karina both collect old Nintendo video games. Paul has 72 video games so far and is collecting four each month. Karina has 120 video games so far and is collecting two each month. After how many months will Paul and Karina have the same number of video games? How many video games will each have?
24 months
168 games
Step-by-step explanation:72 + 4m = 120 + 2m
4m - 2m = 120 - 72
2m = 48
m = 48 : 2
m = 24 months
After how many months will Paul and Karina have the same number of video games ?24 months
How many video games will each have ?72 + 4×24 = 72 + 96 = 168 games
120 + 2×24 = 120 + 48 = 168 games
Find the value of b. Then find the angle measures of the pentagon.
6
(b +45)
(2b - 90)
90°
Sum of angle
measures: 540°
The sum of angles in a shape is the addition of all angles in the shape. The value of b is 90.
From the attached pentagon, we have:
[tex]Sum = 540^o[/tex] -- sum of angles.
This means that:
[tex]Sum = b + \frac 32b + 2b - 90 + 90 + b + 45[/tex]
Collect like terms
[tex]Sum = b + \frac 32b + 2b + b- 90 + 90 + 45[/tex]
Evaluate like terms
[tex]Sum = \frac{11}2b +45[/tex]
Substitute 540 for sum
[tex]\frac{11}2b +45 = 540[/tex]
Collect like terms
[tex]\frac{11}2b =-45 + 540[/tex]
[tex]\frac{11}2b =495[/tex]
Isolate b
[tex]b =495 \times \frac 2{11}[/tex]
[tex]b =\frac {990}{11}[/tex]
[tex]b =90^o[/tex]
Hence, the value of b is 90.
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(1+√3) (3-√3)
[tex]simplify[/tex]
Answer:
2√3
Step-by-step explanation:
Multiply these binomials in the usual way:
(1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)
= 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)
= 2√3
h - 20
Solve for j in the literal equation
=k.
h - 20/j = k solve for j
isolate each term individually [tex]-\frac{20}{j}[/tex] then [tex]h[/tex] then [tex]-20[/tex]
[tex]h-\frac{20}{j}=k\\-\frac{20}{j}=k-h\\j=-\frac{20}{k-h}[/tex]
What are the coordinates of the point on the directed line segment from (-3, -9) to (4,5)
Answer:
(2, 1 )
Step-by-step explanation:
Using the Section formula
For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n
Then coordinates of point are
[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]
Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point
= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]
= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]
= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )
= (2, 1 )
A wheel with a radius of 19 meters is moving forward at 164.95 meters per second. How fast is the wheel rotating in radians per second?
Answer:
8.68 radians per second.
Step-by-step explanation:
The circumference of the wheel is 2 π r
= 38π meters.
So that is 164.95 / 38π of full turns of the wheel.
1 turn of the wheel = 2π radians , so the answer is
(164.95 / 38π) * 2π
= 164.95 / 19
= 8.68 radians per second.
-7x-11x>26-x+9x
Help plis
Answwer:
x<−1
Step-by-step explanation:
Pull out like factors :
-26x - 26 = -26 • (x + 1)
Divide both sides by -26
Remember to flip the inequality sign
Subtract 1 from both sides
x < -1
Hope it helped!!!
1 point
Given –12 = 2(_5n + 11), What would be your first step?
O Distribute the 2 times the 5n and 11
Subtract 11 on both sides
Add the 5 and 11 because they are Like Terms.
O Divide by -5
A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an average of 200 tickets for
each show. The company estimates that for each $0.25 increase in the price of the ticket, the average ticket sales will go down by 5 people,
Which equation could the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700?
OA. -1.25.12 - 7.50 = 0
OB -- 1.25:2 – 7.50 – 1,700 = 0
Ос. -1.252 + 7.50 = 0
OD. -1.25_2 + 7.53 – 1,700 = 0
Answer:
The answer is c.
Step-by-step explanation:
Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].
What is equation?" Equation is defined as the relation between the variables with the sign of equality."
According to the question,
'x' represents the price of the ticket
Given,
Total revenue = $1700
Current charges = $8.50
Number of average tickets sells =200
Estimate in increase in the price of each ticket = $0.25
Average sales goes down by 5 people
From the given information we get the equation,
[tex](200-5x)(8.5+0.25x)=\$1700[/tex]
⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]
⇒[tex]-1.25x^{2} +7.5x=0[/tex]
Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]
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what is the solution to this equation
x+8=-3
Answer:
x+8=-3.
x=-3-8.
x= -11.
Answer:
x=−11
Step-by-step explanation:
Hailey bought 10 chicken wings for $6. What was the cost of the wings in wings per dollar?
Daniel hosted a party in which 15 to 45 people could attend and he charged $7 per person for admission. What is the range of admission with respect to the number of people that attended the party?
A. (105,315)
B. [15,45]
C. [105,315]
D. (15,45)
Answer:
c. [105,315]
Step-by-step explanation:
what is 123 round to the nearest hundered
123 rounded to the nearest 100 is 100
solve for x need help asap
Answer:
X = 12
Step-by-step explanation:
(4x+2) = 50 bc the angles are the same
subtract 2
4x=48
divide by 4
x=12
what is the solution to the equation below?
2(h+8)-h=h+16
(A) No solution
(B) -8
(C) 8
(D) all real numbers
Translate the sentence into an inequality.
A number y increased by 6 is less than or equal to - 15.
Answer:
y ≤ -21
Step-by-step explanation:
y+6≤-15
y≤-21
Hope this helps!
Answer: y + 6 <_ -15
- 6 -6
y <_ -21
where does the parentheses go in 3+6 ×9+3 to made a total of 84
Answer:
Around the 3 + 6:-
(3 + 6) x 9 + 3
Step-by-step explanation:
(3 + 6) x 9 + 3
= 9 x 9 + 3
= 84.
Answer:
[tex](3+6) \cdot 9+3 = 9 \cdot 9 + 3 = 81 +3 = 84[/tex]
The temperature was 70 degrees. At noon, the temperature increased by 8 degrees. By evening, the temperature decreased by 8 degrees. What is the final temperature?
Answer:
The answer is 70 you would add the 8 degrees but them subtract it again
3(x+4)=7x
Solving linear equations
Answer:
x = 3
Step-by-step explanation:
To solve this equation, we can use basic algebraic techniques as illustrated.
3(x + 4) = 7x Distribute the 3.
3x + 12 = 7x Subtract 3x from both sides of the equation.
12 = 4x Rearrange the equation so the variables are on the left.
4x = 12 Divide by 4 on both sides of the equation.
x = 3
Answer:
3(x+4)=7x3x+12=7x7x=3x+127x-3x=124x=12x=12/4x=3A river discharges 4 x 106 cubic feet of water into the
Pacific Ocean each second. There are 86,400 seconds in
one day. To find the amount of water discharged each day,
a scientist multiplied 4 x 106 by 86,400 on his calculator.
The display showed:
3456E+14
Explain what 3.456E + 14 means.
OA) 3.456^14
OB) 3.456 *10^6
OC) 3.456 x 10^14
OD) 3.456 x 10^-14
Answer:
C
Step-by-step explanation:
Here, we want to know what what the display on the calculator means.
Well, the expression has to do with how scientific calculators display powers of 10.
So what this means is that the value 3.456 is raised to the power of 14.
This is a way in which the screen of the scientific calculators maximizes the space on their screens.
Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?
So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27
This makes our answer C
Kindly note that the + sign indicates that the power of the 10 is positive 14.
Leon and Cisco are each making snack mix. Leon’s recipe calls for 8 parts pretzels to 3 pets peanuts. Cisco’s recipe calls for 6 parts pretzels to 2 part peanuts. Which recipe has higher concentration of peanuts? ASAP 15 pts +brainliest!
Answer:
Leon's
Step-by-step explanation:
Since we're interested in peanuts, we can rewrite the ratios with peanuts first:
L: peanuts : pretzels = 3 : 8
C: peanuts : pretzels = 2 : 6 = 1 : 3 = 3 : 9
Leon's recipe has a higher proportion of peanuts. (3/8 > 3/9)
Write an expression to model the phrase:
Myles has $635 nd is earning $120 each
week as a lifeguard.
Answer:
[tex]Y= 120n+635[/tex]
Step-by-step explanation:
Alright!
we are expected to model the total amount of money Myles have\
firstly he has with him $635
and he is earning $120 weekly
Say the number of weeks he worked is given is n
and let the amount of money Myles will have after n weeks be y
hence we can now model the equation to represent how much Myles will have after n weeks
[tex]Y= 120n+635[/tex]
The expression is same as the equation for a straight line
i.e [tex]y= mx+c[/tex]
Name the decimal by writing it in word form
0.48
Answer:
forty-eight hundredths
Step-by-step explanation: