Harris runs 12 miles in 2 hours at a steady pace. At this same pace, how far can he run in 45 minutes?
Answer:
4,5 miles
Step-by-step explanation:
60*2=120
120/12=10
1 mile every 10 minutes
45/10=4,5
Kevin wants to buy a new pair of jeans if the jeans were originally $40 but are on sale with 25% discount
how much will Kevin have to pay for the jeans?
Answer: Kevin will have to pay $30 for the jeans.
Answer:
He will have to pay 30$
Step-by-step explanation:
Evaluate −4(14)6x for x=13. Enter your answer as a fraction in simplest form in the box.
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
The perimeter of a polygon is 96 ft.
Write and solve an equation to find “m”.
Answer:
m = 12
Step-by-step explanation:
Total perimeter = 3m + 3m + m + m = 96
so, 8m = 96
then m = 12
PLEASE ANSWER ASASP AND GIVE BRAINLEST!!!!!!!!!!!!!
The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.
What is the expression of 82 and 95
Answer: 88.5
Step-by-step explanation:
Step 1: Address the formula, input parameters & values.
Input parameters & values:
The given numbers are 82 & 95
Step 2: Find the sum of the given two numbers.
sum = 82 + 95 = 177
Step 3: Divide the sum by 2 to get the average.
average = 177/2
= 88.5
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
Simplify: [-5]+2 answer please
Answer:
I think it's -3
hope it's right:)
Step-by-step explanation:
[tex] \sf{ \huge{( - 5) + 2}}[/tex]
While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )
⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Probability Questions Help is needed plzzzzzzzzzz
Answer: 0.0049 hope this is right
Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!
Answer:
Choice c. [tex]\sqrt{12}[/tex]
Step-by-step explanation:
Vectors
Suppose we have a vector v defined as
[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]
The magnitude of the vector is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]
On the other hand, the dot product of the vector by itself is:
[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]
Note the relation between these two operations is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]
Since we are given:
[tex]\vec v\cdot\vec v=12[/tex], then:
[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]
Choice c) [tex]\sqrt{12}[/tex]
in the problem find m<1
Answer:
m∠1 = 124°
Step-by-step explanation:
If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°. Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.
200-3.5 x 2.8 what is the product?
Answer:
190.2
Explanation:
3.5x2.8=9.8
200-9.8=190.2
Answer:
how do you find the product of 3.5 x 2.8
Step-by-step explanation:
explain how you got it.
What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm
Answer:
C = 62.8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πrStep-by-step explanation:
Step 1: Define
r = 10 cm
Step 2: Find C
Substitute [CF]: C = 2π(10 cm)Multiply: C = 20π cmMultiply: C = 62.8 cmAnswer:
62.8
Step-by-step explanation:
Radius is 10, so the diameter is 20 (10x2)
20 x 3.14(pi)= 62.8
A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?
Answer:
6/7
Step-by-step explanation:
1 x 7/6 x 6/7 = 1
A scale factor of 6/7 would shrink the dilated figure back to its original size.
To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:
Reciprocal of 7/6 = (6/7)
So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.
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ABCDE~GHJDF Complete statement
Answer:
FE
Step-by-step explanation:
i hope you help this answer
For the two similar figures, the expression can be written as:
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
What is the similarity?In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.
For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.
The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:
ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
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Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
True or false? 3a+15b is divisible by 3 for any values of a and b.
Answer:
true
Step-by-step explanation:
its TRUE :)
Answer:
False
Step-by-step explanation:
Take a=-1 and b=-1/7
-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove
If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative
Answer:
From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.
(a)x y : x is negative and y is positive
⇒negative x positive = negative
Therefore, xy is negative
(b)x[tex]y^{2}[/tex] : x is negative and [tex]y^{2}[/tex] is positive
⇒negative x positive = negative
Therefore, x[tex]y^{2}[/tex] is negative
(c) (x − y)xy : x is negative and [tex]y^{2}[/tex] is positive
⇒(x − y) is negative and xy is negative {from (a)}
⇒negative x negative = positive
Therefore, (x-y)xy is negative
(d) y(y − x): x is negative and y is positive
here y - x is positive
⇒positive x positive = positive
Therefore, (y-x)y is negative
plz answer my question
Help! Anyone??
The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.
a. Find and interpret the slope.
b. Interpret the slope.
Step-by-step explanation:
not sure about this one sorry cant help ya but i do have a hint its B
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answer:
x = - 6 y = 13
Step-by-step explanation:
we know when the diagonals bisect it divides into two equal parts so
-4x - 2 = -3x + 4
-4x + 3x = 4 + 2
- x = 6
x = - 6
Now
2y + 8 = 3y - 5
3y - 2y = 8 + 5
y = 13
Hope it will help :)❤
What is 2 to the 400th power factorial?
Step-by-step explanation:
2^400=2^(2×200)
2^(2×200) =[2^(2) ]^200
Now, [2^(2) ]^200=4^200
The power of 2 in 400! is 397.
What is the method of determination of power of prime in Factorial ?Let p is the prime number whose power is to be found
Let n is the factorial number then
p in n! = (n /p) + (n/p²) +(n/p³) + .......
until Numerator < Denominator
and after division only the integer part is taken
Therefore to determine the power of 2 in 400!
2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D
2 in 400! = 200 +100 +50+25+12+6+3+1
2 in 400 = 397
Therefore the power of 2 in 400! is 397.
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Find the least common multiple of: 6, 3, 2
least common multiple of 6,3,2 is 6.
- 6 is the smallest number that is divisible by all three.
Answer:
.5
Step-by-step explanation:
PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Write the exponent for the expression.
1/9 x 1/9 x 1/9=?
HELP FAST plz
Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.
Down is a formula I made!
Main number: 1/9
Repeating how many times: 3
Expression: [tex]\frac{1}{9} ^3[/tex]
Therefore, 1/9 to the 3rd power is 1/729.
[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]
Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.
What percentage of students age 15 and above travel to school by car? Round to the nearest whole percent.
Answer:
18%
Step-by-step explanation:
First, we need to find out the underage of 15 for walking/biking. 152-65=87
then we subtract 87 and 60 from 165 to get 18%
Find cos θ for θ = 60°
Question
Find cos θ for θ = 60°
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
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Need help only on odds please
Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent