Answer:
1/4
Step-by-step explanation:
5. The sum of two numbers is 56. The difference of the two numbers is 9. What is theproduct of the two numbers?What are you being asked to find?What are you given?Define your variables.?Create & solve a system.Explain your solution.
Define your variable:
Let x and y be two numbers.
What are you given?
We know that,
\(\begin{gathered} x+y=56 \\ \text{and} \\ x-y=9 \end{gathered}\)Create and solve a system.
The system is
\(\begin{gathered} x+y=56 \\ x-y=9 \end{gathered}\)Explain your solution.
We can solve this systemn by elimination method. If we add both equation, we obtain
\(x+x=56+9\)because y-y=0. Then, we have
\(\begin{gathered} 2x=65 \\ x=\frac{65}{2} \\ x=32.5 \end{gathered}\)Now, we must substitute this value into the first equation. It yields,
\(\begin{gathered} 32.5+y=56 \\ y=56-32.5 \\ y=23.5 \end{gathered}\)Therefore, the answer is x=32.5 and y=23.5
5. If you were told that a specific tire could roll 200 yards in 27.28 revolutions, what is the radius of the tire?
The number of revolutions = Total distance divided by its circumference
The radius of the tire is 1.167 yards.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of
2πr.
The area of a circle is given as πr².
We have,
The number of revolutions = Total distance divided by its circumference
Total distance = 200 yards
Revolutions = 27.28
A tire is in the form of a circle.
So,
The circumference of the tire.
= 2πr
Now,
27.28 = 200 yards / 2πr
2πr = 200 yards / 27.28
r = 200/(27.28 x 2 x 3.14)
r = 200 / 171.32
r = 1.167 yards.
The radius of the tire is 1.167 yards.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ1
. El siguiente cuadro muestra el porcentaje de votación que alcanzaron los
cuatro partidos en las últimas elecciones para alcaldes provinciales, en una
provincia en la que votaron 65 000 electores.
Partido %
Progreso posible 42%
Bienestar para todos 28%
Todos unidos 16%
Camino al éxito 12%
Votos nulos o en blanco 2%
¿Cuántos votos más debió obtener el candidato del partido “Bienestar para
todos” para igualar al candidato del partido “Progreso posible”?
a) 14
b) 9 100
c) 27 300
Answer:
Can you translate?
Step-by-step explanation:
To english..?
Today is Tuesday. 500 days from today will be a ___.
Group of answer choices
Friday
Tuesday
Thursday
Saturday
Friday
Answer:
1st day=Tuesday
8th day=Tuesday
8×62=496thday=Tuesday
497th day=Wednesday
498th day=Thursday
499th day=Friday
500th day=Saturday
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
2x-5x+9x
combinar terminos semejantes
Answer:
6x
Step-by-step explanation:
2x-5x=-3x+9x=6x
espero que esto ayude por favor marque el más inteligente
Answer:
That would be 6x :)
Step-by-step explanation:
2x-5x=-3x+9x=6x
Find the second differences
The second difference of the given number table is: Option A: -2
How to find the second differences?The second difference method can be used to determine a quadratic model. In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.
Thus, Applying the second difference concept to our problem, we have:
First difference:
-4 - (-9) = 5
-1 - (-4) = 3
Thus, second difference is:
3 - 5 = -2
Read more about Second difference at: https://brainly.com/question/17301989
#SPJ1
How would you rewrite the expression using the square of a sum property? (3x + 5)^2
The square of a sum is:
\((a+b)^2=a^2+2ab+b^2\)using it we have:
\(\begin{gathered} (3x+5)^2=(3x)^2+2(3x)(5)+5^2 \\ =9x^2+30x+25 \end{gathered}\)therefore we have:
\((3x+5)^2=9x^2+30x+25\)»-()*₂
?
What is the domain of f(x)=(1/2)^x
The required domain of the exponential function \(f(x) = (1/2)^x\) is all real numbers i.e. x = (-∞ , ∞)
Given that,
\(f(x) = (1/2)^x\),
The domain for the above-given function is to be determined.
The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable that exists in the range of the function.
In the question,
The equation \(f(x) = (1/2)^x\) is an exponential function with the independent variable x on the exponent of base 1/2.
Since this function is defined in any value on the x-axis, so the domain is all real numbers.i.e. x = (-∞, ∞)
Thus, the required domain of the exponential function \(f(x) = (1/2)^x\) is all real numbers i.e. x = (-∞ , ∞).
Learn more about the domain here:
https://brainly.com/question/28135761
#SPJ1
Evaluate.
-1
(1/5) ⋅ 4^0
0
1
5
20
Answer:
the answer is 5 I think I hope
Name an equivalent ratio for with a denominator of 8.
Please select the best answer from the choices provided
A: 4/8
B: 1/8
C: 5/8
D: 3/8
Answer:
(A)
Step-by-step explanation:
4+4=8,4/8 is an equalivent ratio. So the best answer would be A!
Hope this helps:)!
A circle has a radius of 5 units. What is the diameter of the circle?
Answer:
10
Step-by-step explanation:
5x5=10
Answer:
10 units
Step-by-step explanation:
5*2=10
A baking scale measures mass to the tenth of a gram, up to 650 grams. Which of the following measurements is possible using this scale? a.3.8 grams b.120.01 grams c.800.0 grams d.54 milligrams
Answer:
Step-by-step explanation:
The answer is b
120.01 grams
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
#SPJ1
a, b, and c are positive real numbers;
a×b= 5742×6368
a×c= 5748×6362
c×b= 5738×6372
?<?<?
And please clarify your answers in a simple language
Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.
By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.
Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.
In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.
For more such questions on equations
https://brainly.com/question/29174899
#SPJ8
Use Pythagoras' theorem to calculate the length of FG. Give your answer in centimetres (cm) to 1 d.p. 8 cm H 13 cm G
The length of FG is approximately 15.3 cm.
To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.
According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
\(FG^2 = GH^2 + FH^2\)
Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:
\(x^2 = 8^2 + 13^2\)
\(x^2 = 64 + 169\)
\(x^2\) = 233
To find x, we take the square root of both sides:
x = √233 ≈ 15.26 cm (rounded to 1 decimal place)
Therefore, the length of FG is approximately 15.3 cm.
For such more questions on length of FG
https://brainly.com/question/31613415
#SPJ11
Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?
Answer: 10 eggs
Step-by-step explanation:
you need to divide 40 by 16 then you multiply that by 4 and you get 10.
The Seattle Space Needle is 605 feet tall. If you are looking down from the top of the Space Needle at your teacher's shoes, how far away from the base of the Space Needle is your teacher standing in feet? You know the angle of depression is 65°
Answer:
282.12 ft
Step-by-step explanation:
Please find attached a graphical illustration of the question
We are given the value of the opposite side and we are to determine the value of the adjacent side. Thus, tan would be used
Tan 65 = opposite / adjacent
2.1445 = 605 / x
x = 605 / 2.1445
x = 282.12 ft
latifp you can ans of my question here
no jjjjjjjjjjjjjjjjj
Multiply with decimal numbers:
6.0 x 74 = ? 4.5 x 80 = ? 5.1 x 78 = ? 1.9 x 70 = ?
The complete process of multiplication please :)
6.0x74=444
4.5x80=360
5.1 x 78 = 397.8
1.9 x 70=133
Question 5
Find the value of x.
(3x - 14) (2x + 10)°
3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.
How to find the variable X ?In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable
Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.
An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.
\($$3 x-14-(2 x)=0$$\\\)
We shift every term to the left:
\($3 x-14-(2 x)=0$\)
We combine all the numbers and all the variables.
\($$x-14=0$$\)
All terms containing x are shifted to the left, and all other terms are shifted to the right.
\($$x=14$$\)
To learn more about variable value refer to :
https://brainly.com/question/112703
#SPJ1
Your pool is 80 ft long by 40 ft wide and the depth is 3ft to 8ft what is the pool volume?
Answer:
Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the. 3.14 x 25 ft x 3 ft x 7.5 = 1766.25 gallons
Step-by-step explanation:
Rosemarie bought 2 pairs of shoes for $21.50 each and 4 pairs of socks for $3.25 each. If the sales tax rate is 5%, what is the total amount of money Rosemarie spent?
Answer:
$58.80
Step-by-step explanation:
The subtotal is $56.
56*1.05=$58.80.
Claude wants to a long-lasting perfume. On his first attempt, Claude combined 5 millimeters of a substance containing 2% sandalwood with another substance containing 6% sandalwood to get a substance containing 5% sandalwood. how many millimeters of the substance containing 6% sandalwood must he use?
In linear equation, 15 millimeters of the substance containing 6% sandalwood must he use.
What is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
x = amount of second substance
x + 5 = amount of first and second substances combined.
(0.02)5 ml + (0.06)x ml = (0.05)(x+ 5)ml
0.1 ml + (0.06)x ml = (0.05)x ml + (0.25) ml
(0.06)x ml - (0.05)x ml = (0.25) ml - (0.10) ml
(0.01)x ml = (0.15) ml
x ml = 15 ml
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
Cam can't figure what to eat. He is going to randomly select a piece of fruit from his pantry. These are 4 apples and 5 bananas in his pantry.
Answer:
the total number of fruits are 4+5=9
probability of picking an apple 4/9
probability of picking a banana 5/9
Answer:
0.44
Step-by-step explanation:
P(select an apple)= 4/9 = 0.44
Khan Academy
Isabella is buying art supplies. The table shows the prices for the different items she buys.
Art Supplies
Item Price
Glass beads $0.28 per ounce
Paint brush $0.95
Poster board $0.75
Jar of paint $0.99
Part 1
Isabella spends $4.50 on poster boards. How many poster boards does she buy?
Isabella buys poster boards.
Part 2 out of 2
Isabella spends $7.80 on paint brushes and paint. How many of each item does she buy? Complete the explanation how you found your answer.
By using compatible numbers, you find a total of items that had a total cost of $7.80. Then you used guess and check to find that she buys paint brushes and jars of paint.
PLEASE ANSWER FAST NEED FOR QUIZ!
She had bought 6 cardboards and 8 paint brushes.
What is division?Division is a process used to split the number into equal parts.
Given is that Isabella is buying art supplies. The table shows the prices for the different items she buys.
Art Supplies Item Price
Glass beads $0.28 per ounce
Paint brush $0.95
Poster board $0.75
Jar of paint $0.99
{ 1 } -
She had buyed -
{n} = 4.50/0.75 = 6 cardboards
{ 2 } -
She had buyed -
{n} = 7.80/0.95 = 8 paint brushes
Therefore, she had bought 6 cardboards and 8 paint brushes.
To solve more questions on division, visit the link -
brainly.com/question/30098550
#SPJ1
Find the inverse of this function (fast)
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
please help. will give brainliest
Answer:
it is 1 out of 12
Step-by-step explanation:
Answer:
0.083
Step-by-step explanation:
What you need to do is divide the number 1 by 12. This will give you an answer of 0.0833333. You have to round it to 0.083.
You want to divide 1 by 12 because Janey is one person out of 12 people.
That's how you do probability!
:)