Becky leaves school to go home. She walks 6 blocks North and then 8
blocks west. How far is Becky from the school?
Answer:
10 blocks
Step-by-step explanation:
The distance of Becky from the school is 10 blocks.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
We have been given that Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west.
According to the given situation, we can plot the diagram which has been attached below.
As per the figure, we have a right triangle that has :
AB = 8 blocks, and BC = 6 blocks
The distance of Becky from the school is equal to the length of AC.
By Pythagoras's theorem,
AC² = AB² + BC²
AC² = 8² + 6²
AC² = 64 + 36
AC² = 100
AC = 10 blocks
Therefore, the distance of Becky from the school is 10 blocks.
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One serving of 18 crackers has 200 calories.
How many calories are in 90 crackers?
Answer:
1000 calories because if 18 cracker are 200 calories and you divied 90 by 18 you get 5 and 5 x 200=1000 calories
I need this TONIGHT!!! Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 5 1/2% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
[tex]A\approx\$880.68[/tex]
Step-by-step explanation:
So, we know that Jolene bought an initial $750.
We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.
So, we can use the compound interest formula, which is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.
So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:
[tex]A=750(1+0.055)^t[/tex]
Add:
[tex]A=750(1.055)^t[/tex]
Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:
[tex]A=750(1.055)^3[/tex]
Evaluate. Use a calculator:
[tex]A\approx\$880.68[/tex]
And we're done!
Formula: A = P(1 + r/n)^t
We have these variables:
P = 750
r/n = 0.055
t = 3
Substitute and simplify:
A = 750(1 + 0.055)^3
A = 750(1.055)^3
A = 880.68
Best of Luck!
Explain what is the difference between (-6) to the power of 2 and -6 to the power of 2.
Answer:
Step-by-step explanation:
(-6)² = -6*-6
(-6)² = 36
-(6)² = -(6*6)
-(6)² = -36
The sign is affected by potency
Bonjour je suis en 3 ème pouvez vous m'aider s'il vous plaît une voiture met 2 h 30 pour faire 200 km 1. Calculer sa vitesse moyenne en km/h 2. Calculer la distance parcourue en a ) 3h 15 b) 42 min c) 3h 36 min 3. Calculer le temps mis pour parcourir 540 km
Répondre:
Explication étape par étape:
Vitesse = Distance / Temps
Distance donnée = 200 km
Durée = 2 h 30
Convertir le temps en heures
Depuis 60 minutes = 1h
2 heures 30 minutes = 2+ (30/60)
2h30 = 2 + 1/2 hors
2 heures 30 minutes = 2,5 heures
Vitesse en km / h = 200 km / 2,5 h
Vitesse en km / h = 80 km / h
D'où sa vitesse moyenne en km / h est de 80 km / h
a) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3h15
Temps = 3 15/60 h
Durée = 3,25 h
Distance = 80 * 3,25
Distance parcourue en 3h15 = 260 km
b) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 42 minutes
Durée = 42/60 h
Distance = 80 * 42/60
Distance = 3360/60
Distance = 56 km
Distance parcourue en 42 minutes = 56 km
c) Distance = Vitesse * Temps
Vitesse donnée = 80 km / h
Durée = 3 h 36 minutes
Temps = 3 36/60 h
Durée = 3,6 h
Distance = 80 * 3,6
Distance = 288 km
Distance parcourue en 3 h 36 min = 288 km
d) Distance donnée = 540 km
Vitesse = 80 km / h
Temps = Distance / Vitesse
Heure = 540/80
Temps = 6,75 heures
Par conséquent, le temps nécessaire pour parcourir 540 km est de 6,75 heures
2m:80cm.Give answer in lowest term PLEASE
Answer:
5:2
Step-by-step explanation:
In centimetres
convert 2 m to cm which will be 200 cm
then simplify 200 cm:80 cm --> 5:2
(we cancelled out the zero --> 20:8 then divide 20/2= 10 and 8/2= 4
again the same --> 10/2= 5 and 4/2= 2.
5 and 2 are prime numbers which have no other factor except for 1 and themselves so it cannot be simplified further.
Therefore your answer is 5:2
In metres
convert 80 cm to m which will be 0.8 m
the same steps: simplify 2:0.8
to remove the decimal move the decimal place one to the right --> 8
so you also have to move the decimal place to the right for the numerator: 20
20/8 = 5/2
The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in the graph?
Answer:
Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem
Step-by-step explanation:
Answer:The answer is C :exactly 18% of the students chose blue as their favorite color.
can anyone help thanks
Answer:
x = 8, -4
Step-by-step explanation:
2x-4-6=6; therefore, x = 8
2x-4=-12; therefore, x = -4
Is 5.131313... irrational or rational and why
Brainliest if correct!!!!
5.131313.. is a repeating decimal.
Repeating decimals are rational because they have a set pattern and they can be put into a fraction.
Explanation:
Repeating decimals can be written as a fraction, proving that it is rational.
Irrational numbers can’t be put into a fraction. For example, pi or the square root of 2.
What does it mean when a variable equals R
Like b=R
Answer:
Step-by-step explanation:
R=r
find the diffrence between -2 and 7 on the number line
Answer:
9 units
Step-by-step explanation:
Calculate the absolute value of the difference, that is
| - 2 - 7 | = | - 9 | = 9 , or
| 7 - (- 2) | = | 9 | = 9
2(b + v) = X
solve for b
Answer:
b = x/2 - v
Step-by-step explanation:
2(b+v) = x
b + v = x/2
b = x/2 - v
You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(-5,–8), B(-5,0), and C(-2,0).
Answer:
The answer is -2, -8.
Step-by-step explanation:
Since the three coordinates of the vertices are A(-5,–8), B(-5,0), and C(-2,0), the fourth vertices of the rectangle will be D(-2, -8)
What is rectangle?It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. A quadrilateral of that kind is it. in two-dimensional planning geometry, the space occupied by the rectangle.
The following formula may be used to determine the area of a rectangle:
Rectangle area = length x width
It is given that the three coordinates of the rectangle are A(-5,–8), B(-5,0), and C(-2,0).
We have to find the fourth vertices coordinates of the rectangle will be D(-2, -8)
Let the fourth vertices coordinates of the rectangle will be (x,y).
Since the parallel side of the rectangle is the same. Plotting the graph we will obtain the coordinates of the D.
Thus, the fourth vertices of the rectangle will be D(-2, -8)
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The perimeter of the equilateral triangle shown is 67.5 inches. Write and solve an equation to find the value of x.
Answer:
The answer is 14. Not -14.
Step-by-step explanation:
The value of x for the given triangle will be 14.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.
Perimeter = 3 ( 1.75x - 2 )
67.5 = 5.25x -6
x = ( 73.5 / 5.25 )
x = 14
Therefore, the value of x for the given triangle will be 14.
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Five times the sum of a number and 6 is 48
Answer:
3.6
Step-by-step explanation:
Step 1: Find out what 48 ÷ 5 is
9.6
Step 2: Subtract 6 from 9.6
3.6
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A. ten and forty two ninetieths pounds
b. ten and sixteen twenty firsts pounds
c. eleven and forty two ninetieths pounds
d. eleven and sixteen twenty firsts pounds
Answer:
the answer is C: eleven and forty two ninetieths pounds
Step-by-step explanation:
The total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.
What is the addition operation?The addition operation in mathematics adds values on each side of the operator.
For example 4 + 2 = 6
To find the total number of pounds of fruit that Frankie bought. Since both amounts are already given in pounds, we don't need to convert them.
Next, we need to add the two amounts together. Six and twelve fifteenth pounds can be written as 6 + 12/15 pounds, and four and four-sixths pounds can be written as 4 + 4/6 pounds. Adding these two amounts together, we get 6 + 12/15 + 4 + 4/6 pounds = 11 + 42/90 pounds.
Therefore, the total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.
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What is the inverse of the function f(x) = 1/9 x + 2?
h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2
Answer: the answer is option B. or h(x) = 9x - 18
Step-by-step explanation:
Answer: h(x) = 9x - 18
Step-by-step explanation:
I just took the test and got it right
Use estimation to determine the product of 15.4 and 5.7
Which value has only 4 significant digits? a. 6.930 b. 8450 c. 0.392 d. 0.0450
Answer:
A 6.930
Step-by-step explanation:
Match each equation to the situation it represents.
Situation
Equation
Kate buys 10 tickets to
a show. She also pays a $5 parking fee. She spent $35 to see the
show.
5x + 10 = 35
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has
10 pens left for himself.
10x + 5 = 35
Yin spends 10 hours on homework this week. She spends 5 hours on science homework
and then answers 35 math problems.
353 +5 = 10
pls help someone
Answer:
See below.
Step-by-step explanation:
******************************************************************************
Kate buys 10 tickets to a show. She also pays a $5 parking fee. She spent $35 to see the show.
Each ticket costs x.
10 tickets cost 10x.
Parking is $5.
Total is $35
10x + 5 = 35
******************************************************************************
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has 10 pens left for himself.
The number of pens he gives each friend is x.
The total number he gives is 5x.
He started with 35 pens ands ended up with 10 pens.
35 - 5x = 10
5x + 10 = 35
******************************************************************************
Yin spends 10 hours on homework this week. She spends 5 hours on science homework and then answers 35 math problems.
Total time spent on homework is 10 hours.
Science homework is 5 hours.
She spends x time on each of the 35 problems, so the total time spent of the 35 problems is 35x.
35x + 5 = 10
Simplify s^12t^8/s^4t^4.
Answer:
2t^12/s^3
Step-by-step explanation:
Solve the equation for x. x2 = 484
Answer:
x=22
Step-by-step explanation:
X²=484
x=√484
x=22
Answer:
Step-by-step explanation:
x^2 = 484
√x² - √484
x = 22
What is the solution of the inequality ⅚ x - 3 < 2 ?
the answer to the inequality is..
Inequality Form: x < 6
Interval Notation: (-∞,6)
What is the relationship between the value of the 3 in the square and the value of the 3 in the circle in the number
above?
a. The value of the 3 in the square is 10 times the value of the 3 in the circle.
b. The value of the 3 in the circle is 10 times the value of the 3 in the square.
c The value of the 3 in the circle is 100 times the value of the 3 in the square.
d. The value of the 3 in the square is 100 times the value of the 3 in the circle.
Step-by-step explanation:
The answer is a, hope it helps
What is 0.6 repeating as a fraction
Answer:
2/3
Step-by-step explanation:
0.6 repeating as a fraction is 2/3
Answer:
The answer is 2/3 or
Step-by-step explanation:
[tex]\frac{2}{3}[/tex]
What’s #10 I need it worked out not just the answer.
Select the decimal that is equivalent to 2/3
Answer:
0.66666667 or 0.6
Step-by-step explanation:
if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display
0.6666 with infinite sixes.
you can also write it as:
0.6
ps ;; you would do this for any fraction, then round it.
Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)
Answer:
11x-4
Step-by-step explanation:
f(x)=-3x
g(x) = 2x-1
4g(x) - f(x)
4(2x-1) - ( -3x)
Distribute
8x -4 +3x
Combine like terms
11x-4
Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).
Given,
f(x) = -3xg(x) = 2x - 1Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.
[tex]4g(x) - f(x)[/tex]
[tex]4(2x - 1) - ( - 3x)[/tex]
Opening the parentheses,
[tex]8x - 4 + 3x[/tex]
Now combing the like terms, and adding them,
[tex]8x + 3x - 4[/tex]
[tex] \boxed{11x - 4}[/tex]
This is our final result.
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Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is the stadium's maximum ingress throughput?
Answer:
10,800
Step-by-step explanation:
9*2= 18
18*600=10,800
10,800 is the stadium's maximum ingress throughput.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Woodley Stadium has nine gates with two ticket booths at each gate.
So, the total number of booth's at Woodley stadium = 9*2
the total number of booth's at Woodley stadium = 18
Since each ticket booth can process 600 fans per hour
Thus,
the stadium's maximum ingress throughput = 18 *600
the stadium's maximum ingress throughput = 10,800
Therefore, 10,800 is the stadium's maximum ingress throughput.
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A fruit juice company includes 1.247 ounces of orange juice in a 6.85 ounce bottle of mixed fruit juice. How much of the bottle of mixed fruit juice is not orange juice
Answer:
5.603 ounces
Step-by-step explanation:
From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:
6.85-1.247=5.603
According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.