To find the two numbers, we set up a system of equations and solve it to find the values of x and y.
Explanation:To solve this problem, we can set up a system of equations. Let's represent the two numbers as x and y. Since the sum of the two numbers is 24, we can write the equation:
x + y = 24
Twice the smaller number, which is 2x, is 3 less than the larger number, so we can write the equation:
2x = y - 3
Now we can solve this system of equations using substitution or elimination method. Let's start with substitution method:
Therefore, the two numbers are 7 and 17.
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the two numbers are 7 and 17.
The problem states that the sum of two numbers is 24 and that twice the smaller number is 3 less than the larger number. Let's denote the smaller number as 'x' and the larger number as 'y'. According to the first condition, we have:
x + y = 24 ... (1)
For the second condition, twice the smaller number (2x) is 3 less than the larger number (y), so we have:
2x = y - 3 ... (2)
To find the two numbers, we solve these equations simultaneously. By rearranging equation (2), we get y = 2x + 3. Substituting this into equation (1), we have:
x + (2x + 3) = 24
3x + 3 = 24
3x = 24 - 3
3x = 21
x = 7
Now that we have the smaller number, we substitute x back into equation (1) to find the larger number:
7 + y = 24
y = 24 - 7
y = 17
Thus, the two numbers are 7 and 17.
What does |a|=|b| mean?
Answer:
a = ±b
Step-by-step explanation:
The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.
If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.
Answer:
See below.
Step-by-step explanation:
The 2 vertical lines about the letters mean ' the absolute value of' . That is if a or b have negative values then the absolute value will be the positive . For example if a = -4 then |a| = 4. The absolute value is always positive.
Therefore, for example, if a is 2 and b = -2 then |a| will be equal to |b|, because they both have a value of 2.
mary's job pays her $8.75 per hour which of the following expressions best represents her total earnings if she works two hours or monday three hours on tuesday for hours on wednesday 5 hours on thursday and 6 hours on friday
Around 175 dollars with that because that’s 20 hours
Answer:
$170
Step-by-step explanation:
add the hours first
2+3+4+5+6= 20 hours
multiply that by how much she makes per hour
20*8.75= 175
A cup of cereal can contain 480
480
milligrams of salt, which is 20%
20
%
of the recommended daily amount.
What is the recommended daily amount of salt?
480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.
Answer:
2400 milligrams because 480 is 20% of the recommended amount
Step-by-step explanation:
20*5 = 100% so 480* 5 = 100% or recommended amount
Hope this helps!
URGENT: Can someone help me solve these problems?
Answer:
12
Step-by-step explanation:
21=31
31=7+2-3+0=12
This is correct because linear equations mean add subtract divide and multiply instead of finding roots and squares
The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Which expression represents the area?
Answer:
y²+4y
Step-by-step explanation:
y multiplies with (y+4)
y times y is y²
y times 4 is 4y
That leaves you with y²+4y
Answer: [tex]y^2+4y[/tex] expresses the area.
Step-by-step explanation:
Let the width of a rectangle be 'y' feet.
Let the length of a rectangle be 'y+4' feet.
As we know the area of rectangle :
Area of rectangle is given by
[tex]Length\times breadth\\\\=y\times (y+4)\\\\=y^2+4y[/tex]
Hence, [tex]y^2+4y[/tex] expresses the area.
pls help me i really need it
Look at the prism and its net.
What is the surface area of this rectangular prism?
a. 112 m²
b. 140 m²
c. 280 m²
d. 292 m²
Answer:
The answer would be C
Step-by-step explanation:
have a wonderful day, please mark brainlest and thank me.... I do flvs as well
Answer:
Step-by-step explanation: SA= Arec1*2+Arec2*2+Arec3*2
SA=l*w*2+l*w*2+l*w*2
SA=4*14*2+4*5*2+5*14*2
and you do the math
Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. She wants to earn at least $2,700 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Final answer:
To find the amounts of sales that will meet Liz's goal, we can set up an inequality using her salary and commission. Liz needs to earn at least $2,700 this month, and with her salary and commission, we can create the inequality $2,500 + 0.06x ≥ $2,700. Solving this inequality gives us x ≥ $3,333.33. Therefore, the amounts of sales that will meet Liz's goal are any values of x that are greater than or equal to $3,333.33.
Explanation:
To find the amounts of sales that will meet Liz's goal of earning at least $2,700 this month, we can set up an inequality. Let's represent the amount of sales as 'x'.
Liz's salary is $2,500 per month, and her commission is 6% of her sales. So her total earnings for the month can be calculated as:
Total Earnings = Salary + Commission
Total Earnings = $2,500 + 0.06x (since the commission is 6% of sales)
We want Liz to earn at least $2,700, so we can set up the following inequality:
$2,500 + 0.06x ≥ $2,700
To solve this inequality, we can subtract $2,500 from both sides:
0.06x ≥ $2,700 - $2,500
0.06x ≥ $200
Finally, we divide both sides by 0.06 to isolate 'x', the amount of sales:
x ≥ $200 ÷ 0.06
x ≥ $3,333.33
Therefore, the amounts of sales that will meet Liz's goal are any values of 'x' that are greater than or equal to $3,333.33.
What is the reciprocal of 3 ?
What is the reciprocal of 11/8
Answer:
1 / 3 and 8 / 11
Step-by-step explanation:
When you find the reciprocal of something you flip the number over e.g
Find the reciprocal of 1 /2,
You ' flip it ' and it becomes 2 / 1 or 2
Answer: 1/3 and 8/11
Step-by-step explanation:
Help fast please!!! Find the value of each variable.
Answer: third answer
Step-by-step explanation:
Answer:
a = 10√3, b = 5√3, c = 15; d = 5
Step-by-step explanation:
d = 10/2 = 5
b = 5√3
a = 2 * 5√3 = 10√3
c = 5√3 * √3 = 15
Answer is the second option
a = 10√3, b = 5√3, c = 15; d = 5
Why did most Americans reject Marxism in the early 1900s? They believed that a government-run economy was best for all. They believed in a system owned and run by the individual. They believed that factory workers should make more than factory owners. They believed that the proletariat should control the means of pr
Answer:
They believed in a system owned and run by the individual
Step-by-step explanation:
In the early 1900's the majority of the Americans rejected the Marxist ideology, and they saw it as usurpation of their country and its foundations. The majority of the Americans favored the capitalism, and they saw their country as the country of opportunities where everyone can achieve everything if the person is smart enough and works hard enough. The Marxism suggested the total opposite of it, that everyone should be equal, have the same earnings, there's no prosper on a career level, so for the Americans was not attractive, and we can comfortably say that they made the right choice considering what happened in the countries that adopted this ideology.
Answer:
B They believed in a system owned and run by the individual
Step-by-step explanation: B
What is the factored form of x2 − 4x − 5?
Answer:
[tex]\large\boxed{x^2-4x-5=(x+1)(x-5)}[/tex]
Step-by-step explanation:
[tex]\text{The factored form:}\\\\ax^2+bx+c=a(x-x_1)(x-x_2)\\\\x_1,\ x_2-the\ zeros\\==============================\\\\\text{We have}\ x^2-4x-5:\\\\x^2-4x-5=x^2+x-5x-5=x(x+1)-5(x+1)\\\\x^2-4x-5=(x+1)(x-5)[/tex]
Given the function rule f(x) = x2 – 3x + 2, what is the output of f(-2)?
.
A. -8
B. 0
C. 4
D. 12
Answer:
C
Step-by-step explanation:
what are expressions are equivalent to 6x-18y
Answer:
Step-by-step explanation:
6 is common to both terms, so 6x - 18y is equivalent to 6(x - 3y).
How will you write 7^5 as a multiplication expression?
A.
7 * 5
B.
7*7*777
C.
5 x 5 x 5 x 5 x 5 x 5 x 5
Answer:
The answer is 7*7*7*7*7
Step-by-step explanation:
The correct way to write 7^5 as a multiplication expression is by writing it as 7 multiplied by itself 5 times, which is 7 x 7 x 7 x 7 x 7.
The question asks how to write 7^5 as a multiplication expression. To correctly express 7^5, we represent it as 7 being multiplied by itself 5 times. So, the correct way to write 7^5 as a multiplication expression is 7 \u00d7 7 \u00d7 7 \u00d7 7 \u00d7 7. This clearly demonstrates the concept of an exponent, where the base (7) is multiplied by itself a certain number of times (5 times in this case), which is fundamentally different from just multiplying 7 by 5.
4708.06 rounded to nearest thousand
Answer
5,000
Explanation
1. Examine the number next to the thousands value (hundreds place)
2. Should that number be greater than 5, round the thousands value up one.
To round 4708.06 to the nearest thousand, we look at the hundreds place value which is '7'. Since it's higher than 5, we round up the thousands of places and the number becomes 5000.
Explanation:The process of rounding involves deciding which multiple of a certain number is closest to the number you're trying to round. If to round the number 4708.06 to the nearest thousand, we look at the hundreds place. In our case, it's '7', a digit that is 5 or higher.
Thus, we increase the digit at the thousands place by '1' and change all the subsequent digits to '0'. Therefore, 4708.06 rounds to 5000 when rounded to the nearest thousand.
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Solve 2p = 18
Help!!!!!!
Answer:
9
Step-by-step explanation:
2p= 18
p = 18 ÷ 2
p = 9 hope it helps u
Answer:
p=9
Step-by-step explanation:
which number has the greatest value 4 1/2 4 1/6 or 4.85
Final answer:
Among 4 1/2, 4 1/6, and 4.85, the number 4.85 has the greatest value as it has the highest decimal portion when all numbers are expressed in decimal form.
Explanation:
To find which number has the greatest value among 4 1/2, 4 1/6, or 4.85, we need to compare them directly. The number 4 1/2 converts to 4.5 in decimal form, 4 1/6 converts to approximately 4.17, and 4.85 is already in decimal form. Comparing these three numbers, it's clear that 4.85 has the greatest value because it has the highest decimal portion.
Susan plans on visiting her friend in the next state over the distance to her friend is 1497 miles . If she leaves on Friday and drives 8 hours at a time 60 mph when will she get there
A. The next day
B. In 3 days
C. In 5 days
D. In 2 days
The Answer Is B
Explanation : If you divide 1497 by 60 you get 24.95 24 divide by 8 is 3
The number of days, she will be there are 3 days. Then the correct option is B.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Susan plans on visiting her friend in the next state the distance to her friend is 1497 miles.
If she leaves on Friday and drives 8 hours at a time at 60 mph. Then the number of days, she will be there.
The distance she covers in a day will be
D = 60 × 8
D = 480 miles
Then the number of the days will be
→ 1497 / 480
→ 3.11875
→ 3 days and 1 hour.
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It is asking for the standard form for the quadratic function.
well factored would be f(x)= (x+4)(x+2) and standard for would be
f(x)= x^2+6x+8
If 90 students were surveyed and 50 said they would buy a wristband, how many wristbands should Monty order for the school of 1800 students?
He should buy 1000 wristbands.
Since 50/90 students said they would buy a wristband, we can set up this proportion.
[tex]\frac{50}{90}[/tex] [tex]\frac{x}{1800}[/tex]
multiply 50 * 1800 divided by 90 = 1000
Need help please someone
The answer to 9 would be (-3,-4) and (2,6) because if you plug in -3 for x in either of the equations and plug in 4 for y in the equations, both sides of the equation are the same number. also, if you plug in 2 for x and 6 for y both sides of the equation equal each other. The answer to 10 is (-1,1) and (7,33). if you plug them in they are equal:)
2x+y=4
Y=3x-1
Is (1,2) a solution to both equations
Answer:
yes they are
Step-by-step explanation:
Just test it
2x+y=4
(1,2)
1 is x
2 is y
2+2=4
y=3x-1
3-1=2
X=1 y=2................
Explain how you drew and used a tape diagram to model and solve problem 1.
Answer:
800
Step-by-step explanation:
you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800
Answer:
Step-by-step explanation:
you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800
NEED HELP ASAP
if f(x)=sqrt x-3 and g(x)=1-x^2 then what did you notice about the domain of (f o g)(x)?
ANSWER
The domain is an empty set
EXPLANATION
The given functions are:
[tex]f(x) = \sqrt{x - 3} [/tex]
and
[tex]g(x) =1 - {x}^{2}[/tex]
[tex](f \circ \: g)(x) = f(g(x))[/tex]
[tex](f \circ \: g)(x) = f(1 - {x}^{2} )[/tex]
[tex](f \circ \: g)(x) = \sqrt{(1 - {x}^{2} ) - 3} [/tex]
[tex](f \circ \: g)(x) = \sqrt{ - {x}^{2} - 2} [/tex]
This function is defined if and only if
[tex] - {x}^{2} - 2 \geqslant 0[/tex]
[tex] {x}^{2} + 2 \leqslant 0[/tex]
There is no real values that satisfies this inequality, because
[tex] {x}^{2} + 2[/tex]
is always positive.
The domain of this composite function is a null set.
Answer:
The domain of f, and thus the range of g, is restricted to values greater than or equal to 3.
If 1 minus x squared is greater than or equal to 3, then x squared must be less than –2.
Since x squared cannot be less than a negative number, the function is undefined for all values of x.
Step-by-step explanation:
Please answer correctly thank you!
If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.
Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.
The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.
X = 180 - 61 - 61 = 58 degrees.
Which of the following numbers can be expressed as repeating decimals? 3/7, 2/5, 3/4, and 2/9.
Answer:
Step-by-step explanation:
2/9 when you divide it is 0.22222222222222
Answer:
First option: [tex]\frac{3}{7}[/tex]
Fourth option: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Repeating decimals are also known as "Recurring decimals", are those decimal numbers whose digit or group of digits repeats indefinitely.
To know which of the given fractions can be expressed as Repeating decimals, you need to divide the numerator by the denominator in each option. Then:
First option: [tex]\frac{3}{7}=0.428571428571[/tex] (It can be expressed as repeating decimal)
Second option: [tex]\frac{2}{5}=0.4[/tex]
Third option: [tex]\frac{3}{4}=0.75[/tex]
Fourth option: [tex]\frac{2}{9}=0.2222222222[/tex] (It can be expressed as repeating decimal)
The table below represents the height of a bird above the ground during flight, with p(t) representing height in feet and t representing time in seconds
calculate the average rate of change from 3 to 9 seconds
Answer:
calculate the difference height (P) is -6 and (t) is 2.85
Δy divided by Δx = rate of change
3-9 = -6
6.23-3.41 = 2.85
then divide
2.85 / -6 = .475
Your answer will be - .475
Step-by-step explanation:
Using the table, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
The average rate of change of a function P(x) over an interval [a,b] is given by:
[tex]A = \frac{P(b) - P(a)}{b - a}[/tex]
In this problem, we want the rate from 3 to 9 seconds, hence [tex]a = 3, b = 9[/tex].
From the table, [tex]P(3) = 6.26, P(9) = 3.41[/tex], hence:[tex]A = \frac{3.41 - 6.26}{9 - 3} = -0.475[/tex]
Considering the units, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
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What is the point slope form of a line with slope 3/2 that contains the point (-1,2) ?
The options are in the picture ... please help !
y-2=3/2 (x+1) must be first
what is the value of the expression 2 squared + 4 squared divided by 2 squared
Answer:
5
Step-by-step explanation:
2² + 4² = 4 + 16 = 20
20 ÷ 2² = 20/4 = 5
Determine which statements are true regarding the given solid. Check all that apply.
The three-dimensional solid is a hexagonal pyramid.
The three-dimensional solid is a hexagonal prism.
The solid can be created by stacking the same-size hexagons vertically.
The solid can be created by stacking dilated hexagons vertically.
Point D is the apex of the pyramid.
option A, D, and E
I just took it on edge
The true statement regarding the shape are:
The three-dimensional solid is a hexagonal pyramid.The solid can be created by stacking dilated hexagons vertically.Point D is the apex of the pyramid.Base: The bottom surface of a pyramid is a polygonal shape, such as a square, rectangle, triangle, or any other polygon. The base is typically larger in area compared to the other faces.
Faces: Pyramids have triangular faces that slope inward from the edges of the base to a single point at the apex. The number of faces depends on the number of sides of the base polygon.
Vertices: A pyramid has several vertices where the edges of the base meet the triangular faces, and one vertex where all the triangular faces converge at the apex.
Edges: The edges of a pyramid are the lines where the faces intersect. For example, a square pyramid has 8 edges (4 from the base and 4 connecting the base to the apex).