To solve for the number of each type of soccer ball sold for $2,400 in total and a combined quantity of 70 balls, we set up a system of equations. However, without specific pricing for each type of ball, it's impossible to provide a unique solution. The ideal approach, if prices were known, would be to use substitution or elimination methods.
Explanation:To determine how many of each type of soccer ball were sold by the sports store when a total of 70 soccer balls were sold for $2,400, we can set up a system of equations. Let's call the number of the first type of soccer ball sold x and the second type y. We also know that one type of ball cost more than the other, so let's assume the first type costs a dollars and the second type costs b dollars, with a > b. We can establish the following equations based on the given information:
x + y = 70 (for the total number of soccer balls sold)ax + by = 2400 (for the total amount of money collected)To solve this system of equations, we would generally need the price of each type of soccer ball. As we do not have this information, we are unable to solve this problem uniquely. However, the general approach would involve using either the substitution method or the elimination method to find the values of x and y. This will give us the number of each type of soccer ball sold.
Learn more about System of Equations here:https://brainly.com/question/21620502
#SPJ2
Add. 4 7/12+2 3/4+7 5/12
A.13 3/4
B.14 1/4
C.14 3/4
D.15 1/4
Add.
4/5+3 1/10
Enter the sum in the box as a mixed number in simplest form.
Answer:
C.14¾
3 9⁄10
Step-by-step explanation:
[tex] \frac{4}{5} + 3 \frac{1}{10} = \frac{8}{10} + 3 \frac{1}{10} = 3 \frac{9}{10} [/tex]
[tex]4 \frac{7}{12} + 2 + \frac{3}{4} + 7 \frac{5}{12} = 13 \frac{12}{12} + \frac{3}{4} = 14 + \frac{3}{4} = 14 \frac{3}{4} [/tex]
I am joyous to assist you anytime.
Solve for x in the equation x^2 + 2x+1 = 17
A) X= 1+ /15
B) X=-1+ /17
C) X=2+2/16
D) X=13 /13
Answer:
B
Step-by-step explanation:
X^2+2x+1-17=0
X^2+2x-16=0
[tex]x = - 1 + \sqrt{17} [/tex]
Evaluate the expression if x = 3 and y = 11. 3x + 2y
Answer:
31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
3(3)+2(11)=31
Simplify the expression (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2. Assume a not-equals 0, b not-equals 0.
Answer:
The simplest form of the expression is 16 a²b²
Step-by-step explanation:
* Lets explain how to solve the problem
- To simplify any fraction with exponent you must put it with positive
exponent
- Ex: the fraction [tex](\frac{2}{3})^{-1}[/tex] not in the simplest form
because it has negative exponent
- To change the negative exponent to positive exponent reciprocal the
fraction, [tex](\frac{3}{2})^{1}[/tex] and this is the simplest form of the fraction
* Now lets solve the problem
∵ The expression is [tex](\frac{1}{4ab})^{-2}[/tex], where a and b ≠ 0
- At first reciprocal the fraction
∴ [tex](\frac{1}{4ab})^{-2}=(\frac{4ab}{1})^{2}[/tex]
- Then solve the power
∵ 4² = 16
∵ (ab)² = a²b²
∴ (4ab)² = 16 a²b²
* The simplest form of the expression is 16 a²b²
Answer:
16 a²b² is option D on e2020
Step-by-step explanation:
100% on test
what is the answer to 5 over 35 simplalifying
Answer:
1/7
Step-by-step explanation:
Divide each number by 5.
5/5=1
35/5=7
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 5 and 35 is 5
Divide both the numerator and denominator by the GCD
5 ÷ 5
35 ÷ 5
Reduced fraction:
1
7
To solve this equation: d/5 + 12 = -15, which step will be performed last?
Let's go through the steps.
d/5 +12 = -15
1. Multiply both sides by 5.
Doing this we get:
d + 60 = - 75
2. Subtract 60 from both sides.
d = - 75 - 60
d = -135
Step 2 above is the final step taken to find the value of d.
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!! EXTRA POINTS!!!
What is the sum of the degrees of the interior angles of a 19-gon?
What is the sum of the exterior angles of a 25-gon?
A. 180
B. 360
C. 4,140
D. 165
Answer:
161.5 degrees
c- 4, 140
Answer: C
Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p
As for the 19-gon, the sum is 360
if log x - log(2x-1)=1 find x
Answer:
x = 10/19
Step-by-step explanation:
[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]
The solution to the equation log x - log(2x-1) = 1 is x = 10/19.
We have,
To solve the equation log x - log(2x-1) = 1, we can use logarithmic properties to simplify the equation.
First, we can apply the quotient rule of logarithms, which states that
log a - log b = log(a/b).
Applying this rule to the equation, we get:
log(x / (2x-1)) = 1
Next, we can rewrite the equation in exponential form, using the definition that log base a of b is equivalent to a raised to the power of the logarithm equals b.
In this case, the base is 10 since we are using common logarithms (log base 10):
[tex]10^1[/tex] = x / (2x-1)
Simplifying the left side, we have:
10 = x / (2x-1)
To eliminate the denominator, we can multiply both sides of the equation by (2x-1):
10(2x-1) = x
Expanding the left side:
20x - 10 = x
Now, we can isolate the variable x:
20x - x = 10
19x = 10
Dividing both sides by 19:
x = 10/19
Therefore,
The solution to the equation log x - log(2x-1) = 1 is x = 10/19.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Write 5.48 as a mixed number in simplest form.
5.48=
Answer:
5 12/25
Step-by-step explanation:
The first step is to separate the whole number number from the decimal.
that would be 5
Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100
So now we have the whole number 5 and the fraction 48/100
Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2
This equals 24/50
This can be simplified even more
24 divided by 2 and 50 divided by 2
This equals 12/25
Then we put the whole number in front and your final answer is
5 12/25
I need help on 4,5,6, and 7.
Answer:
A closed dot means (or equal to) which i will be signifying with bold numbers
3) 2 < x > 5
4) 5 < t > 3
5) -3 < m > -1
6) -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)
7) 36 > Fridge < 46
Which expression is equivalent to (2r2+r - 1) – (3r2+48 - 5)?
-p2 – 3r+4
°-p2 + 58 - 6
5r²+5r-6
5r2 - 3r + 4
The specified expression simplifies to -r² + r - 44. Steps to find equivalent expressions include gathering like terms and utilizing the distributive property.
Explanation:
The expression (2r²+r-1) – (3r²+48-5) can be rewritten as 2r²+r-1 - 3r² - 48 +5. For the r² terms, combine 2r² and -3r² to get -r². For the constant terms, combine -1, -48 and +5 to get -44. And there's only one r term which is r. Together, these give the equivalent expression as -r² + r - 44.
Learn more about Equivalence expressions here:https://brainly.com/question/27911936
#SPJ12
The expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.
Explanation:To find the equivalent expression, we need to distribute the negative sign into the second set of parentheses.
Then, combine like terms.
The expression becomes: (2r2 + r - 1) - 3r2 - 48 + 5.
Combining like terms further, we have: 2r2 + r - 1 - 3r2 - 48 + 5
Now, combine the like terms again: (2r2 - 3r2) + r + (-1 - 48 + 5). Simplifying this gives us: -r2 + r - 44
Therefore, the expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.
Learn more about Equivalent expressions here:https://brainly.com/question/34140345
#SPJ12
what is the simplified form of the following expression? 3 sqrt 4x/5
Final answer:
The simplified form of the expression [tex]3 \sqrt(4x/5) \ is\ 6 \sqrt(5x) / 5[/tex]after performing the square root separately on the numerator and denominator, and then rationalizing the denominator.
Explanation:
The expression given is [tex]3 \sqrt(4x/5)[/tex]. To simplify this expression, we observe that the square root of 4 is a perfect square and equals 2. The square root of the fraction can be taken by applying the square root to the numerator and the denominator separately. Therefore, we have:
[tex]3 \times \sqrt(4) \times \sqrt(x) / \sqrt(5)[/tex]
Upon simplifying, we get:
[tex]3 \times 2 \times \sqrt(x) / \sqrt(5)[/tex]
This simplifies further to:
[tex]6 \sqrt(x) / \sqrt(5)[/tex]
However, it's not common to leave a square root in the denominator, so we can multiply both the numerator and the denominator by sqrt(5) to rationalize the denominator.
The final simplified form is:
[tex]6 \sqrt(5x) / 5[/tex]
Which of these is the graph of −2−3i ?
Answer:
-2-3i in the complex plane would be 2 units to the right of the origin and
3 units below the Real number line.
Step-by-step explanation:
Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.
Kristen read a total of 20 books over 4 months. After belonging to the book club for 5
months, how many books will Kristen have read in all? Assume the relationship is directly
proportional.
Answer:
25
Step-by-step explanation:
20 books in 4 months is 5 books in 1 month.
20÷4=5
4÷4=1
1×5=5
5×5=25
What is the answer ? Explain.
Answer:
152
Step-by-step explanation:
4(3x + 5)
4(3(11) + 5)
4(33 + 5)
4(38)
152
Linear? y = 4xTrueFalse
Answer: True
Step-by-step explanation:
A linear function is of the form: y = mx + b where
m is the slope (rise over run)b is the y-intercept (where the line crosses the y-axis)The given equation is y = 4x
In this equation, m = 4 and b = 0 so it is a linear function.
A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a bank account paying simple annual interest. The statement showed that originally $500 had been put into the account. When he called the bank, he found that there is now $1550 in the account! What is the annual interest rate?
Answer:
7%
Step-by-step explanation:
Answer:
7% is the correct answer
given the domain (-2,2,4) what is the range for the relation 3x-y=3
Final answer:
The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).
Explanation:
To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:
For x = -2: 3(-2) - y = 3; -6 - y = 3; y = -6 - 3; y = -9.For x = 2: 3(2) - y = 3; 6 - y = 3; y = 6 - 3; y = 3.For x = 4: 3(4) - y = 3; 12 - y = 3; y = 12 - 3; y = 9.The range for the given domain is (-9, 3, 9).
what is the excluded value of x / x^2 +2x -3
Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
[tex]\frac{x}{x^2+2x-3}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
List the angles of rotation, separated by commas, less than 360° if the figure has rotational symmetry. If
the figure does not have rotational symmetry, enter the number zero.
The list of angles of rotation is
Answer:
The list of angle of rotation is zero
Step-by-step explanation:
* Lets revise some definitions about isosceles trapezoid
- An isosceles trapezoid is a trapezoid with congruent base angles
- An isosceles trapezoid has congruent legs
- An isosceles trapezoid has 1 axis of symmetry
- An isosceles trapezoid has no rotational symmetry
* Lets solve the problem
- From the attached figure:
∵ The figure is quadrilateral
∵ The quadrilateral has only a pair of parallel sides
∵ The parallel side not equal in length
∵ The other two sides of the quadrilateral are equal in length
∴ The quadrilateral is an isosceles trapezoid
∵ The isosceles trapezoid has no rotational symmetry
∴ There is no angle of rotation
∴ The list of angle of rotation is zero
Answer:
the answer is 0
Step-by-step explanation:
Write an integer to represent each situation.
1. 46 degrees below zero
Answer:
= -46
Step-by-step explanation:
Since, it is below zero, it is in the negatives. Therefore, it is -46.
Answer:
-46
Step-by-step explanation:
Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.
Here are some other examples:
54 degrees below zero → -54
negative 120 → -120
16 degrees below zero → -16
Can some help me pleaseeee.
Answer:
I cant answer it because it blocked the equation can you show the details on text?
Step-by-step explanation:
What is the least common multiple of 15 and 90
Answer:
90
Step-by-step explanation:
Divide the larger number by the smaller number
If the remainder is zero then the larger number is the LCM
If not repeat with multiples of larger number
90 ÷ 15 = 6 remainder 0
Since remainder is 0 then 90 is the LCM of 15 and 90
One number is five less than three times another number. If the sum of the numbers is 3, find the numbers.
Answer:
First number 2
Second number 1
Step-by-step explanation:
Let the first number = x
Let the second number = 3x - 5
Equation
x + 3x - 5 = 3
Solution
x + 3x- 5 = 3 Combine
4x - 5 = 3 Add 5 to both sides
4x - 5 + 5 = 3 + 5 Combine
4x = 8 Divide by 4
4x/4 = 8/4 Combine
x = 2
3x -5 = 3(2)- 5 = 1
A toll bridge in Maine in the early 1900s charged $0.02 per person and $0.0625 for a dozen sheep. How much would the toll cost for 3 people and 4 dozen sheep?
Hannah has some scraps of ribbon measuring 3.52 meters, 17.3 meters and 27.009 meters. Does she have enough to do a project requiring 50 meters of ribbon? If yes, how much ribbon will she have left? If no, how much more ribbon does she need?
Answer:
No, 2.171m.
Step-by-step explanation:
Add all of measurements. 3.52+17.3+27.009=47.829
Compare 2 numbers.
47.829<50
So she needs more ribbon,because the length she has is less the requirement, 50m.
Find the difference(the length she needs).
50-47.829=2.171
How do cows buy gifts
Answer:they dont
Step-by-step explanation:
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each day and $0.50 apiece for all baskets over 100 picked. On the first day, Jessica picked 65 baskets of oranges. On the second day, she picked 135 baskets. What is the total amount of money that Jessica received for picking oranges?
SHOW ALL WORK
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
$0.45 per basket for the first 100 baskets picked;$0.50 per basket for all baskets over 100 picked.1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]
Altogether Jessica is paid
[tex]\$29.25+\$62.50=\$91.75[/tex]
What is the coefficient of b in the expression b + 10? Explain.
Answer:
The coefficient of b is 1
Step-by-step explanation:
we know that
In a mathematical equation, a coefficient is a constant by which a variable is multiplied
so
A coefficient is a constant multiplied by a variable.
In this problem we have
b+10
Rewrite'
b+10=(1)b+10
therefore
The coefficient of b is 1
Barry and Lou entered a hot dog eating contest. The winner of the contest is the person who can eat the most hot dogs in the allotted amount of time. Barry can eat 12 hot dogs in 9 minutes. Lou can eat 20 hot dogs in 16 minutes. Barry thinks with his rate he will win the contest.
Is Barry correct?
Answer:
Yes
Step-by-step explanation:
If you divide 12 by 9, you get 1.33... and if you divide 20 by 16, you get 1.25 so Barry can eat more hot dogs in less amount of time than Lou can.
Answer:
yes
Step-by-step explanation: