The amount of money that Matt has will be $64.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Ginger and matt have a total of $124.00 dollars. Ginger has $12.00 more than 3/4 of the amount Matt has.
Let x be the amount that Ginger has and y be the amount that Matt has. Then the equations will be
x + y = 124 ...1
x = (3/4)y + 12 ...2
From equations 1 and 2, then we have
(3/4)y + 12 + y = 124
(7/4)y = 112
y = $64
Then the amount that Ginger has will be
x = (3/4)64 + 12
x = 48 + 12
x = $60
The amount of money that Matt has will be $64.
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3. Timber Hill Tennis Club sells monthly
memberships for $72 and tennis rackets for
$150 each. The tennis club has a sales goal
of $5400 per month.
a. Write a linear equation that
describes the problem
The linear equation that describes the problem 72x + 150y = 5400.
What is a linear equation in mathematics?A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.
Why is it termed a linear equation?The graph of a linear equation is a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line. it is called a 'linear equation.'
According to the given data:Tennis Club sells monthly memberships for $72.
Tennis rackets for $150.
The tennis club sales goal of $5400 per month.
The linear equation.
72x + 150y = 5400.
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how many groups of 7/4 are in 1
Answer:28
Step-by-step explanation:
A rock is thrown from the top of a ladder. The function
h(t) = -16t² + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
1. What is the initial height that the rock was thrown from?
Answer:
h'(t)=88
Step-by-step explanation:
h'(t)=d/dt (-16t x 2 + 120t + 10)
h'(t)=d/dt (-32t + 120t + 10)
h'(t)=d/dt (88t + 10)
h'(t)=d/dt (88t) + d/dt (10)
h'(t)=88 + 0
help pls thanks huys
Answer:
12
Step-by-step explanation:
Let the unknown number be x.
8 = -4(1) + x
8 = -4 + x
x - 4 = 8
x = 8 + 4
x = 12
Answer:
[tex]a_{n}[/tex] = - 4n + 12
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then
[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12
What is the radius of a hemisphere with a volume of 324\text{ ft}^3,324 ft 3 , to the nearest tenth of a foot?
Answer:
5.4 ft
Step-by-step explanation:
Given that the volume of the hemisphere sphere, [tex]V= 324 ft^3[/tex].
Let r be the radius of the hemisphere.
As the volume of the hemisphere, [tex]V=\frac {2}{3}\pi r^3[/tex]
By using the given value, we have
[tex]\frac {2}{3}\pi r^3=324[/tex]
[tex]\Rightarrow r^3=\frac{324\times 3}{2\pi} \\\\\Rightarrow r^3=\frac{324\times 3}{2\times3.14} \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^{1/3} \\\\[/tex]
[tex]\Rightarrow r=5.4[/tex] ft
Hence, the radius of the hemisphere is 5.4 ft.
10th grade geometry Help!!!
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
FOR VERIFICATION ONLY:(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Clara needs 48 ounces of flour to bake a cake. If 1 cup is equal to 8 ounces, how many cups of flour should Clara use? (1 point)
a
2 cups
b
3 cups
c
4 cups
d
6 cups
Jose works as a salesperson at an electronics store and sells phones and phone accessories. Jose earns a $9 commission for every phone he sells and a 4$ commission for every accessory he sells. On a given day, Jose made a total of $253 in commission and sold 8 more accessories than phone sold and the number of accessories sold. Define the variables that you use to write the system.
Answer:
The variables would be 9p and 4c
Step-by-step explanation:
Jose gets $9 for every Phone or 9p and $4 for every accessory or 4a
Help please :)) Thanksss
check it out . it seems to be the right answer. .
One fish tank is being filled while another is being drained. The first fish tank has 175 liters of water and more water is being added at a rate of 7 liters per minute. The second fish tank has 550 liters of water and is being drained at 8 liters per minute. Which equation can be used to calculate how many minutes it will it take for the two tanks to have the same amount of water?
A: 175 + 7x - 550 - 8x
B: 175 + 7x - 550 + 8x
C: 8x - 7x = 550 + 175
D: 8x - 7x = 550 - 175
Please Help!!!
In this equation, it will require 175 + 7x - 550 - 8x water to fill both tanks to the same level.
Explain about the equation?A formula that describes how two expressions on each side of a sign are connected. It typically has an equal sign and one variable. akin to this 2. 2x - 4 = 2. The variable x is present in the preceding example.
Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" separating them.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
You start first by the number of minutes that have passed.
Regardless of how many minutes have passed, the second had loses.
=175 + 7 liters
=550 liters loses 8 times
= 175 + 7x - 550 - 8x
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7. Hannah’s cell phone plan has a start up fee of $200 and there is a charge of $50 per month.
Write an equation to show the total cost of her cell phone plan, where x is the number of months and y is the total cost (monthly charge and total cost)
Answer:
y=200+50x
Step-by-step explanation:
if f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?
f(0) = ( f(k) +f(-k) ) / 2
f(0) = (16 - 4) / 2
f(0) = 12 / 2
f(0) = 6 → ANSWER
*Remember that f(0) = m(0) + n = n
If we have f(x) = mx + n, then:
f(k)= mk + n and f(-k)= -mk + n
If we add them:
f(k) + f(-k)
= mk + n -mk + n
= 2n
= 2f(0)
So we conclude that:
f(0) = [f(k) + f(-k)] / 2
Which step is the first incorrect step in the solution shown below? Solve: 5(x + 2) = 6x + 12 Step 1: 5x + 2 = 6x + 12 Step 2: -x + 2 = 12 Step 3: -X = 10 Step 4: x = -10 O A. Step 1 OB. Step 2 C. Step 3 D. Step 4
Answer:
Step 1
Step-by-step explanation:
Correct solution step-by-step:
1. 5(x + 2) = 6x + 12
2. 5x + 10 = 6x + 12
3. 5x - 6x = 12 - 10
4. -x = 2
5. x = -2
On a piece of paper, graph y< x + 1. Then determine which answer matches
the graph you drew.
Answer:
Step-by-step explanation:
-5 less than or equal to negative z over 3
=2
Somebody can help me to solve this thing please people i need help !!
The solution to the given inequality is: I only.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).When x = -10, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-10)
-7 ≥ 2 - 50
-7 ≥ -48 (True).
When x = 3, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(3)
-7 ≥ 2 + 15
-7 ≥ 17 (False).
When x = -1, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-1)
-7 ≥ 2 - 5
-7 ≥ -3 (False).
Therefore, the solution to the given inequality is "I only."
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Can someone Please help me get the answer for what is ⅘ of 12?
Answer:
9.6
Step-by-step explanation:
What is the area of the bedroom ?
Answer:
what bedroom...............?
Answer:
[tex]95ft^2[/tex]
Step-by-step explanation:
We need to multiply 10 feet by 9 feet 6 inches.
6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.
Multiply 10 by 9.5.
(10)(9.5) = 95
Therefore the answer is 95ft squared.
Hope this helps!!
- Kay :)
Find the area of the polygon with the given vertices.
NC (– 2, 1), P(3, 1), Q(3,-1), R( – 2, -1)
what is the area in
square units.
Answer:
A= w . h = 10
Step-by-step explanation:
Look at attached graphic.
It's a rectangle.
width (in x axe) = length between 3 to -2 = 5
height (in y axe) = length between 1 to -1 = 2
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
PLEASE ANSWER MY LATEST QUESTION PLEASE
WHY WONT NOONE ANSWER IT PLEASEE ITIS DUE IN A FEW MINUTES!!!
Answer:
i will see if i can figure it out
gl dude
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ok ill try to find it and answer it
Answer and explain step by step.
Answer:
Step-by-step explanation:
it no solution
No solution is parallel to each other.
solution crosses each other.
infinite is only one line.
⠀⠀⠀⠀⠀
(X+5)²+3x+15
This is the equation
The factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
What do we mean by equations?An equation is made up of expressions that have the same value.A formula is a two- or more-variable equation that represents a relationship between the variables. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.The equation is: (X+5)²+3x+15
Then,(X+5)²+3x+15
x² + 25 + 3x + 15x² + 3x + 40x² + x ( + ) + 40x² + x ( 20 + 20 ) + 40x² + 20x + 20x + 40x ( x + 20 ) + 20 ( x + 2 )Factors are: x(x+20)(x+2)
Therefore, the factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
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Help Please!
Which relationship between x and y in the equation shows a proportional relationship?
a) y = x – 2
b) y = 3x
c) y = 5x + 3
d) y = 5 (x + 3)
Answer:
y=3x
Step-by-step explanation:
I took the test
Mom is 8 years older than 4 times Sarah’s age. The sum of their ages is less than 83. What is Sarah’s oldest possible age?
Identify:
Strategize:
Set up:
Solve:
Check:
Jing-mei starts out being excited and confident about her mother's plans for her. She believes that if she and her mother found the right kind of prodigy for Jing-mei, then Jing-mei would one day become a perfect child. As she begins losing hope, however, Jing-mei's character starts to change. Tired of constantly failing her mother's high expectations, she decides to set her own expectations, and she becomes willful, disobedient, and vocal. Ironically, her motivation throughout the story stays the same; she wants her mother to love and accept her. She knows she'll never be the type of girl her mother wants, so she resists her mother's wishes. Yet by doing the opposite of what her mother wants, Jing-mei still cannot feel that acceptance that she really wants
Which set of numbers includes only integers? Left-brace 14, 9, one-third, 0, 243 Right-brace Left-brace 14, negative 7, 0, 243, negative 3 Right-brace Left-brace 14, Negative StartFraction 9 Over 10 EndFraction, 56, 0, negative 243 Right-brace Left-brace 14, 2.3, 654, 0, 9 Right-brace
Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace
Step-by-step explanation:
To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;
An integer must be an whole number including Zero, which means no fractions
Similarly, integer numbers could be either positive or negative in value.
Hence, from the set represented above ;
(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.
Answer:B
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (5 points)
A= {(2. -2), (5, -5), (-2, 2). (-5, 5))
B= {(4, 2). (4, -2). (9, 3). (9, -3)}
O1) Only A
O2) Only B
O3) Both A and B
O4) Neither A nor B
Answer:
The answer is choices Only A
Step-by-step explanation:
hope this helps
y = 2x + 1
x + 3y = 17
Answer: x=2 and y=5
Step-by-step explanation:
Substitute the Y= equation for the Y in the second equation.
ie: x+3(2x+1)=17
Now all of your variables are the same and you can solve for X. You should get X=2.
Then plug 2 in for X in the first equation
ie: y=2(2)+1
Then solve for Y. You should get 5
Solve for b: 4b-11=1-2(3-b)
A) 0
B) 14
C) 3
D) -16
Answer:
4b -11 = 1 -2(3-b) (use the distributive property on -2(3-b))
4b -11 = 1 -6 +2b ( combine like terms on the right side of the = sign)
4b -11 = -5 +2b (subtract 2b from both sides)
2b -11 = -5 (add 11 to both sides)
2b = 6 (divide each side by 2)
b= 3 ( so, your answer is C)
Answer:
C
Step-by-step explanation:
4b-11=1-2(3-b)
4b-11=1-6+2b
4b-11=-5+2b
4b=6+2b
2b=6
b=3
Your answer is C
The cost of toilet paper increased by 50% after the "Great Toilet Paper Shortage" of 2020.
If toilet paper cost $6.50 before the shortage, how much did it cost after the shortage?
Answer:
I think 9.25
Step-by-step explanation:
Answer:
9 dollar
Step-by-step explanation:
it is now 9 dollar because the increase was 3.00