Answer:
1.2 kilometers per minute; 12 kilometers
Step-by-step explanation:
We know that 60 minutes makes 1 hour.
Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:
72 / 60 = 1.2 kilometers per minute.
Distance is given as speed multiplied by time.
Therefore, in 10 mins, the car travels:
1.2 * 10 = 12 kilometers.
Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so without breaking any chocolate. Which of these could be the number of chocolates Tanmay had in the beginning?
Answer:
The possible value of X are;
15, 30, 45, 60 etc
Step-by-step explanation:
The parameters given are
Number of chocolates Tanmay had = X
Number of chocolates Tanmay gave to Akash = 1/3 × X
Number of chocolates Tanmay gave to Sharad = 1/5 × X
Whereby 3 and 5 are factors of X, therefore;
3 × 5 = 15 is the lowest single factor of X
The possible values of X starting from the lowest factor are given as follows;
15 × 1 = 15
15 × 2 = 30
15 × 3 = 45
15 × 4 = 60
Hence, the possible value of X are the arithmetic progression a + (n - 1)×d
Where:
a = 15
n = 1, 2, 3, 4, ...
d = 15
Which includes;
15, 30, 45, 60
1. If (1, -2) is a solution of a linear equation 2x – y = p, then find the value of p.
Answer:
Just put the values of x and y
x = 1
y = -2
2x – y = p
2(1) - (- 2) = p
p = 4
Answer:
The value of p is 4.
Step-by-step explanation:
In order to find p, you have to substitute the value of x and y into the linear equation :
[tex]2x - y = p[/tex]
[tex]let \: x = 1 \\ let \: y = - 2[/tex]
[tex]2(1) - ( - 2) = p[/tex]
[tex]2 + 2 = p[/tex]
[tex]p = 4[/tex]
given that
10 - √18
—————
√2
= a + b √2 where a and b are integers.
Find the values of a and b.
Answer:
a = -3
b = 5
Step-by-step explanation:
[tex]\frac{10-\sqrt{18}}{\sqrt{2}}[/tex]
Simplify the square root of 18.
[tex]\frac{10-3\sqrt{2}}{\sqrt{2}}[/tex]
Rationalize the fraction.
[tex]\frac{\left(10-3\sqrt{2}\right)\sqrt{2}}{\sqrt{2}\sqrt{2}}[/tex]
[tex]\frac{2\left(5\sqrt{2}-3\right)}{2}[/tex]
[tex]5\sqrt{2}-3[/tex]
Rewrite the answer in the form a+b√2.
[tex]-3 + 5\sqrt{2}[/tex]
The given form of expression a + b √2 where a and b are integers then the values of a and b are -3 and 5.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
[tex]\frac{10 -\sqrt18} {\sqrt 2}= a + b \sqrt 2[/tex]
Simplify the square root of 18 then Rationalize the fraction,
[tex]\\\frac{10 -3\sqrt2} {\sqrt 2}\\\\\frac{(10 -3\sqrt2) \times \sqrt{2} } {\sqrt 2 \sqrt 2}\\\\\frac{ 2(5\sqrt2 -3) } { 2}\\\\(5\sqrt2 -3)[/tex]
Thus, the values of a and b are -3 and 5.
Learn more about factors;
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state of the triangles in each pair are similar. If so State how you know they are similar and complete the similarity statement. Part 2
Answer:
not similar
Step-by-step explanation:
SAS similarity could be used if corresponding sides were proportional. They're not.
36/26 ≠ 16/12
The triangles are not similar.
Can i Get help please ASAP I will Give Brainliest
Answer:
MN is not congruent to QR
Step-by-step explanation:
If you look at the way the triangles are written, you have, MNO, and PQR. These should be written in the same order if they are congruent. Therefore, MN corresponds to PQ as they are both the first two, and likewise, QR corresponds with NO
AB←→ is perpendicular to CD←→. How many 90° angles are formed by the intersection?
Answer: 4
Step-by-step explanation:
Since AB and CD are perpendicular lines, you know that they make 90° angles. Perpendicular lines make a t or + shape. Since it is 2 lines, you know there will be 4, 90° angles, to make up a full 360°.
what expression is equal to (3d^4)^2
Answer:
Simplify the expression using the rules of exponents.
9d^8
Step-by-step explanation:
answer is 9d^8
Write the polynomial in standard form.
- 4 + 3x - 522
Answer:
3x-526
Step-by-step explanation:
the 3x would go in the beginning. then you subtract (-4-522)= -526.
GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.
Answer:
x,y = ( 3 17/21 , 10/21)
Step-by-step explanation:
Painting the room = 1 whole job
Morgan rate = 1/10
Sophia rate = 1/4
Rate x time = 1 job
1/10 x + 1/4 y = 1/2 and
1/10 y + 1/4 x = 1 solve for x,y
Multiply the top equation by - 2.5
(-2.5)/10 x - (2.5/4) y = -1.25
-1/4 x - 5/8 y = -1 .25
and add to the second equation to get
1/10 y - 5/8 y = -.25 solve for y
4/40 y - 25/40 y = -.25
-21/40 y = - .25
y = 10/21 hr Substitute this into one of the original equations to find 'x'
1/10 (10/21) + 1/4 x = 1
1/21 + 1/4 x = 1
1/4 x = 20/21
x = 80/21 x,y = ( 3 17/21 , 10/21)
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What is an expression equivalent to 2(7 x + 3 - x ) ??
Answer: Simplify the expression.
12x+6
Step-by-step explanation:
your answer is 12x+6
Ms. Alvarez wants to determine the seventh graders’ preferences for the location of the end-of-year field trip. Which of the samples is representative of the population?
Using sampling concepts, the representative sample is given as follows:
D. Every fifth student from an alphabetical list of all seventh graders in the school.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:
D. Every fifth student from an alphabetical list of all seventh graders in the school.
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The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing below.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for π.
1017 square inches
254 square inches
113 square inches
57 square inches
please someone answer.
Answer:
The area of the surface of the water is approximately 254 square inches.
Step-by-step explanation:
When the bowl of the birdbath is full, the top surface area of the water is equal to the area of the circumference that contours the bowl, therefore in order to calculate its area we need to apply the following formula:
[tex]area = \pi*r^2\\r = \frac{d}{2} = \frac{18}{2} = 9 \text{ in}\\area = 3.14159*(9)^2 = 254.46879 \text{ in}^2[/tex]
The area of the surface of the water is approximately 254 square inches.
Please help I don’t understand this
Answer: 25 hours
Step-by-step explanation:
Let r = rate, t = time
From 1st sentence,
5r x 12 = 3
60r = 3
r = 3/60 = 1/20
From the next,
4r x t = 5
4 x 1/20 x t = 5
4/20t = 5 = 25
people. Houses Hours
5. 3 12
4. 5. ?
Cross multiply and get the reciprocal
4*3/5*5/12
12/25 *1/12
= 25
Marilyn is playing a game where she draws a slip of paper with the words "Rock, Paper, Scissors" written on each slip from a hat. She then flips a coin. She predicts "Paper" and calls Tails. She wins if she is correct. What is the probability she will win?
Answer:
1/6
Step-by-step explanation:
In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as
1/3
In a coin flip, the probability that it will land on tails is
1/2
Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:
1/3 * 1/2 = 1/6
Solve the literal equation -cy + 8 = 4d – 3y for y.
Answer:
y=(4d-8)/(3-c)
Step-by-step explanation:
-cy + 8 = 4d – 3y3y-cy=4d-8y(3-c)=4d-8y=(4d-8)/(3-c)Solve the following equation 7a-9=12
7a-9=12
Add 9 to both sides:
7a= 21
Divide both sides by7
A= 3
Answer:
The value of a is 3.
Step-by-step explanation:
First, you have to add 9 to both sides to eliminate -9 on the left side :
[tex]7a - 9 = 12[/tex]
[tex]7a - 9 + 9 = 12 + 9[/tex]
[tex]7a = 21[/tex]
In order, to find a, you have to divide it by 7 :
[tex]a = 21 \div 7[/tex]
[tex]a = 3[/tex]
What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFraction) squared 3 62
Answer:
b
Step-by-step explanation:
The number that should be added to the equation is n = ( 3/2 )²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial
First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.
To complete the square, we add this value to both sides of the equation:
x² + 3x + 9/4 = 6 + 9/4
The left-hand side can now be factored as a perfect square trinomial:
(x + 3/2)² = 33/4
To solve for x, we take the square root of both sides:
x + 3/2 = ±√(33/4)
x = -3/2 ± (1/2)√33
Hence , the number we need to add to both sides of the equation to complete the square is 9/4
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1
. a) Write in standard form:
i) 2 470 000
two million four hundred seventy thousand
in scientific notation, how can you tell if it is less than or greater than 1? Explain
Answer: See below
Step-by-step explanation:
In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.
If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.
If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.
By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.
1. If x + 13 = 5, then the value of x is
(a) 18
(b)-18
(c)-8
(d) 8
Answer:
C
Step-by-step explanation:
The best way to find x is to plug in all the answer choices and see if they equal 5
lets start with A
18+13=5
31=5 which is incorrect
Let do B
-18+13=5
-5=5 which is incorrect
Lets do C
-8+13=5
5=5 which is correct!
Lets do D
8+13=5
21=5 which is incorrect
pls mark me brainliest
Answer:
The answer is (C) -8
Step-by-step explanation
x = -8
-8 + 13 = 5
It is basically like subtraction..
You subtract the 13 from the 8 even though its backwards.
-8 + 13 = 5
You cast a fishing lure from 4 feet above the water. Its travel is given by the function h = -16t^2 + 24t + 4, where t = time in seconds. After how many seconds will it reach a height of 12 feet?
Answer:
Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds
Step-by-step explanation:
Travel of a fishing lure has been given by the expression,
h = -16t + 24t + 4
where h = height of the fishing lure
t = time or duration of travel
Height traveled by the fishing lure = 12 - 4 = 8 feet
For h = 8 feet,
8 = -16t² + 24t + 4
-16t² + 24t + 4 - 8 = 0
16t² - 24t + 4 = 0
4t² - 6t + 1 = 0
t = [tex]\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}[/tex]
= [tex]\frac{6\pm\sqrt{36-16}}{8}[/tex]
= [tex]\frac{6\pm\sqrt{20}}{8}[/tex]
= [tex]\frac{6\pm2\sqrt{5}}{8}[/tex]
= 1.31, 0.19 seconds
Sean is playing a board game. To win he needs to roll a sum of 10 or more with a pair of dice on his next turn. There are 11 possible sums when you roll 2 dice and 3 of these outcomes will result in him winning this game. Sean therefore says that the probability that he will win the game is 3/11. Explain the mistake in Sean's thinking.
Answer: 1/6
Step-by-step explanation:
Two fair dice is rolled once,
To win sum of the two dice should equal 10 or more
To get a sum equal 10 or more,
The total possible outcome when two dice is rolled once = 6^2 = 36
Sample space is attached below
Total required outcome to win (probability of having a sum of 10 or more)
n(sum of 10 or more) = 6
Therefore, probability of winning equals :
P(winning) = (Total required outcome / Total possible outcomes)
P(winning) = n(sum of 10 or more) / total possible outcomes
P(winning) = 6/36 = 1/6
A manufacturer designs a circular ornament with lines of glitter as shown. Identify m∠PSR.
m=60
m=30
m=90
m=120
Answer:
120
Step-by-step explanation:
The measure of the arc QR⏜ intercepted by the inscribed ∠QPR is given.
According to the Inscribed Angle Theorem, the measure of the inscribed angle is equal to one-half the measure of the arc.
m∠QPR=12mQR⏜
Substitute 60° for mQR⏜.
m∠QPR=12(60°)
Simplify.
m∠QPR=30°
The figure shows the same circle as in the beginning of the task. Triangle P R S is highlighted in red. Angle S P R measures 30 degrees.
It is given that m∠SRP=30°. Use the Triangle Sum Theorem to find the measure of the unknown ∠PSR.
m∠SRP+m∠SPR+m∠PSR=180°
Substitute the known values.
30°+30°+m∠PSR=180°
Simplify.
60°+m∠PSR=180°
Subtract 60° from both sides.
m∠PSR=120°
Therefore, m∠PSR=120°.
a manager bought some stamps she gave 1/3 of them to the cashier and 1/5 of them to her secretary.if the secretary received 40 fewer stamps than the cashier how many did the cashier receive?
Answer:
The cashier received 100 envelopes
Step-by-step explanation:
let the number of stamps bought be x.
Cashier will receive 1/3 *x = x/3
Secretary will receive = 1/5 * x = x/5
Now we are told that the secretary received 40 fewer.
This means that the difference between the amounts they received is 40
Mathematically;
x/3 - x/5 = 40
2x/15 = 40
x = (15 * 40)/2 = 600/2 = 300
The cashier received x/3 = 300/3 = 100
Answer:
Cashier received 100 stamps
Step-by-step explanation:
1/3 to cashier
1/5 to secretary
Total stamps=x
Cashier=(1/3)x
Secretary=(1/5)x
Secretary received 40 fewer stamps than the cashier
Difference between cashier and secretary share=40
1/3x-1/5x=40
(2/15)x=40
40×15=2x
600=2x
x=300
Cashier=(1/3)x
=(1/3)300
=100
4 cows and 12 horses on the farm there are 6 cows in the other farm how many horses are on the other farm
Answer:
One solution was found :
x = 18
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Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/12-(6/x)=0
Step by step solution :
Step 1 :
6
Simplify —
x
Equation at the end of step 1 :
4 6
—— - — = 0
12 x
Step 2 :
1
Simplify —
3
Equation at the end of step 2 :
1 6
— - — = 0
3 x
please help will mark brainliest
Answer:
17 cm²
Step-by-step explanation:
First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).
For the big rectangle, I multiplied its length by its width.
The area of the big rectangle: 3cm * 5cm = 15cm²
For the smaller rectangle, I also multiplied its length and width.
The area of the small rectangle: 1cm * 2 cm = 2cm²
Add up its areas: 15+2
To get 17cm² as your final answer
To make 100g of jam you need 41g of strawberries, 29g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.
Answer:
The ratio is 29:30
Step-by-step explanation:
First, we need to calculate the mass of sugar in the mix
That would be 100-41-29 = 100-70 = 30g
So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar
From the question, mass of blackberry = 29g while the mass of sugar = 30g
Mass of blackberry to mass of sugar = 29:30
what is the simpllified form of the expression x+x+10+2x-16
Answer:
4x-6
Step-by-step explanation:
x+x+10+2x-16
Combine like terms
x+x+2x +10-16
4x -6
4x-6
Answer:
[tex]4x - 6[/tex]
Step-by-step explanation:
[tex]x + x + 10 + 2x - 16[/tex]
combine like terms
[tex]x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve and graph. Thank you so much!
Answer:
Step-by-step explanation:
6 + x/2 >= -4
x/2 >= -10
x >= -20
solution is b
a salesperson earns a commission based on the number and type of vechile sold.A person selling 6 cars and 3 trucks earns $4,800.A person selling 8 cars and 1 truck earns $4,600.How much does a salesperson earn for selling 2 cars and 3 trucks?
Answer:
$2800
Step-by-step explanation:
First divide $4800 by 3 which will give you $1600 which is the price for 2 cars and 1 truck.
= [tex]\frac{4800}{3} = $1600[/tex]
Next, subtract the $1600, which is the price of 2 cars and 1 truck from $4600, which is the price of 8 cars and 1 truck giving you the price of 6 cars.
$4600 - $1600 = $3000
Now divide the $3000, the price of six cars, by three to get the price of 2 cars.
[tex]\frac{3000}{3} = $1000[/tex]
Lastly, multiply the $1000 by 2 to get the price of 4 cars. Then subtract this $2000, the price of 4 cars from the $4800, the price of 6 cars and three trucks to give you the price of 2 cars and 3 trucks.
$4800 - $1000 = $2800