Answer:
30
Step-by-step explanation:
Warren runs races to support local charities. In April, he ran a 5-kilometer race in 30 minutes to support his local hospital. In October, he will run a 10-kilometer race to support the animal shelter. If he runs at the same rate, how many minutes will it take Warren to run the race in October?
Warren ran 10 km in 60 minutes or 1 hour.
What is proportionality?Proportionality is a case when two ratios are equal.
Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.
We need to find the time taken by him when he ran 10 km race.
Since, the rate of running is same, that means the speed was equal in both races,
Let t be the required time,
Therefore, using the concept of proportionality,
5 / 30 = 10 / t
5t = 300
t = 60
Therefore, he ran 10 km in 60 minutes or 1 hour.
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The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)
2IW= 200
I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30
-W TO IW=200
(30-W)W=200
W2 + 30W=200---------------TRANSPOSE -w2
+30w
w2-30w +200 = 0------------------- USE FACTORING
(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO
W- 20=0 W-10 =0
W=20 W=10
THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I
Iw =200 Iw=200
I(20) =200 I(10)
I(20)/20= 200/20 I(10)/10
=200/10
I=10
SO the answer to the problem are: width = 20 then lenght =10 or width = 10 then lenght =20The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
A. -2
B. -5
C. 2
D. 5
Please help me
Answer:
5
Step-by-step explanation:
Answer:D-5
Step-by-step explanation:
Consider all rectangles with an area of 200m^2. Let x be the length of one side of such a rectangle. Find the dimensions of a rectangle whose perimeter is 70m.
Answer: Answer in Photo
kelsey withdraws $25 per week from her bank account. Each week, Kris deposits $15 of his allowance and $20 earned from dog walking each week into his bank account. After how many weeks will they have the same amount of money
Answer:
Step-by-step explanation:
PLEASE ANSWER BRSINLEST BRAINLEST ANSWER NOW PLEASE DUE!
Stacy likes to do aerobics 10 hours a week to stay in shape. She tracks the amount of time she does aerobics each week relative to her goal.
The table shows the data for the last five weeks.
Week 1 2 3 4 5
Aerobics time (hours) 2.8 −2 1 3/4 0 −3
What is the average aerobics time per week for Stacy relative to her goal number of hours?
Drag a value to the box to complete the statement.
PLease explain it too if you can
Answer:
-0.09
Step-by-step explanation:
What is the value of x?
(The diagram)..
10
Step-by-step explanation:
x + 5 = 2x - 5
x + 5 - x = 2x - 5 - x
5 = x - 5
5 + 5 = x
10 = x
Answer:
The value of X is 10
Step-by-step explanation:
X+5=2x-5(corresponding sides of an angle)
5+5=2x-x
10=x
So,x=10
what is the answer to 10x+3x
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
Answer: 13x because you can combine them together because they both have the same variable.
Classify the triangle. Find the value of x
Answer:
x= 9
Step-by-step explanation:
<2 + 40 + 40 = 180 degree
<2 = 180 - 40 - 40
<2 = 100
m<2 = x + 109
x = 109 - <2 = 109 - 100 = 9
Brownies sell for $.75
and cookies sell for $.40. If
Brady wants 3 brownies and 2
cookies. He brought $3. Does
Brady have enough money to
buy the treats? NO LINKS PLEASE
Answer:
No
Brady is 5 cents short
Step-by-step explanation:
.75x3=$2.25
.40x2=0.80
$2.25+0.80=$3.05
Answer:
No
Step-by-step explanation:
3 brownies = $.75 * 3 = $2.25
2 cookies = $.40 * 2 = $.80
$2.25 + $.80 = $3.05, which is over $3
He is 5 cents short.
Hope this helped!
(and taxes of course)
For a two-days rental at the surf shop it cost $45 to rent a surfboard and $60 to rent a paddleboard on a certain weekend the surf shop rented 44 total surfboards and paddle boards and made $2265 how many paddle boards were rented
Answer:
Step-by-step explanation:
gg
what is the sum of 3 - 2i and -5 + 6i?
Answer: -2 + 4i
Step-by-step explanation: I'm pretty sure you can't get the sum, but you can simplify the problem. All you need to do is combine like terms. -2i and 6i = 4i. 3 - 5 = -2.
The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.
The temperature at 5 a.m. was
Answer:
-3 F'
Step-by-step explanation:
If 8% of a number equals 30, find 40% of that number.
If 8% of a number equals 30, 40% of that number 150.
The percentage of a given number is the fraction of that number divided by 100.
Let assume that the unknown number is (a).
So, 8% of a = 30.i.e.
0.08a = 30Making (a) the subject of the formula now;
a = 30/0.08a = 375Now, we are meant to determine the 40% of that unknown number (a)
Since (a) has been determined to be 375.
Then, 40% of 375 is calculated as:
[tex]\mathbf{=\dfrac{40}{100} \times 375}[/tex]= 150Learn more about percentage here:
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The following expression can be solved in 5 steps using the rules of order of operations. Write the step by step solution in the spaces provided below: [(-2)²×3]÷[(-9)-5+2]Note: You may copy the question from the previous step and replace the operation performed with the result. For example, given the question 4²-6×2, you would copy the question and replace the index term in step 1: 16-6×2. For step 2, you copy the expression from step 1 and replace the product to get: 16-12. In step 3, you only have one operation left to perform so you just need to write the final answer: 4
Answer:
Step-by-step explanation:
[(-2)²×3]÷[(-9)-5+2]
=(4*3)/[(-9)-5+2]
=12/(-12)
=-1
will mark as brainliest plz help
BC = BD
Step-by-step explanation:
AC = AD
because AB bisect ∠A or
∠CAB = ∠BAD
∴ So, BC = BD
pls help me ill give brainliest :)
What is transversal?
Answer:
A transversal is a line that intersects two parallel lines .like shown in the diagram above hope it is helpful to you please follow give brainliest ✌❣❣Help me on this please help it’s due
Answer:
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how do you do this math problem 3(x-2)=9
Answer:
x=5
Step-by-step explanation:
3(x-2)=9
3x-6=9
3x=9+6
=15
x=15÷3
=5
graph this line using the slope and y intercept: y=x
Answer:
done.
Step-by-step explanation:
yeah-ya..... right?
Je veux une reponse ❤️
Answer:2
Step-by-step explanation:
Evaluate: log(a³b²/c⁴) + log(bc³/a²) - log(a/c) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the logarithm.
Given That:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
We know that:
[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]
[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]
Therefore, we get:
[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]
[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]
[tex] \rm = \log( {b}^{3})[/tex]
As we know that:
[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]
Therefore, we get:
[tex] \rm = 3\log(b)[/tex]
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(g(4) - g(-5)) / (4 - -5)
g(4) = 4² + 5×4 + 1 = 37
g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1
4 - -5 = 4 + 5 = 9
(37 - 1)/9 = 36/9 = 4
the average change rate in that interval is 4 (or fully 4/1).
plsss someone help i will give brainlyest
i need help with the photo
Answer: (n^6 j^6)/(8h^5)
Step-by-step explanation:
The k term disappears (k^5 * k^-5) = 1j^-6 moves to the top as j^6(h^-2)/((h^-6)*(h^3)) = 1/h^51/(2*2*2) = 1/8Therefore: n^6*j^6/8h^5
Can someone help me? This is soo hard
Answer:
m∠ ACB = 60°
Step-by-step explanation:
If AB║CD if m∠
write the equation of the line that passes through the points (8, 2) and (0, 6)
Answer:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (6-2)/(0-8)
m = 4/-8
m = -1/2
y = mx + b
(2) = (-1/2)(8) + b
2 = -4 + b
b = 6
equation of the line is:
y = (-1/2)x + 6
Identify two statements that contradict each other.
I. ZM is an obtuse angle.
II. m ZM +mZP= 90
III. 180 – mZM = 25
IV. mZP= 120
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Options A and B are two contradict statements.
The four statement are given, we need to find the two contradict statements.
What is an obtuse angle?The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.
Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements
Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.
Therefore, options A and B are two contradict statements.
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In the room there are 5 big boxes. In each box there are 3 smaller boxes. In each of these small boxes the are 4 smaller boxes.How many boxes of different sizes are there in the room?
Answer:
Step-by-step explanation
there are 80 boxes in total
how to to right a*a*c*c using exponents
Answer:
[tex]a*a*c*c=a^2×c^2[/tex]
Step-by-step explanation:
Thanks!!!!!!!