Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the number of dimes,x, and the number of quarters,y, that Nathaniel has.
Determine three ways to have 6 more dimes than quarters:
Answer:
10 dimes and 4 quartersStep-by-step explanation:
Number of dimes = d, each d = 10 cNumber of quarters = q, each q = 25 cTotal = $2 = 200 cEquations according the given:
10d + 25q = 200d = q + 6Solve for q by substitution:
10(q + 6) + 25q = 20010q + 60 + 25q = 20035q = 140q = 140/35q = 4Find the value of d:
d = 4 + 6 = 10Nathaniel has 10 dimes and 4 quarters
How many solutions does this equation have?
1/2 + 4x = - x + 2
Answer:
4
Step-by-step explanation:
..............................
Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
I'll give brainliest
Answer: C) (1, -1)
Step-by-step explanation:
\(\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}\)
\(\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}\)
Multiply the first equation by 2, and the second equation by -1, then both equations must be added.
\(\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}\)
We add these equations to eliminate x.
\(\boldsymbol{\sf{\star \ 7y=-7 }}\)
Then we solve 7y=-7 for y (divide by 7).
\(\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}\)
We place the found value of y, in one of the original equations y to solve for x.
\(\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)
Simplify (We add x to both sides.)
\(\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}\)
Add (2) to both sides.
\(\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)
We divide by 1.
\(\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}\)
\(\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}\)
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how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Find the mode of the data. please Helppppp!!!
Answer:
pizza
Step-by-step explanation:
Mode is the one that appears most often
Pizza appears 4 times
Cheeseburger, spaghetti appears only 3 times
apples, hot dogs 2 times
Answer: the mode is pizza
Step-by-step explanation:
Pizza: 4
Spaghetti: 3
Cheeseburger: 3
Apples: 2
Hotdog: 2
Pizza is the most so, it is the mode.
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Help
A machine that drills holes for wells drilled to a depth of−72 feet in one day (24 hours).
At this rate, how many hours will it take until the drill reaches its final depth of −132 feet?
At the same rate, a machine take 44 hours until the drill reaches its final depth of −132 feet.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
A machine that drills holes for wells drilled to a depth of−72 feet in one day (24 hours).
Now, Let a machine drill holes reaches its final depth of −132 feet in x hours.
Hence, By definition of proportion, we get;
⇒ 72 / 24 = 132 / x
⇒ x = 132 × 24 / 72
⇒ x = 3,168 / 72
⇒ x = 44 hours
Thus, It take 44 hours to reaches its final depth of −132 feet.
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a parent has 8 children, what is the probability that at least one is a boy given that at least 7 of the children are girls?
Answer:
1 to 0
Step-by-step explanation:
Cause if there are 8 children and at least 7 are girls than that would be 1 to 0 are boys
Can someone please walk me through this?
3x-1=4x+8-x
3x-1=4x+8-x
3x -4x +x = 8+1
4x -4x = 9
0x =9
x= 9/0 which is undefined .
arithmetic sequence, help with #18 plz
Answer:
15th term is 29/4
Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
When should the direct pattern be used to communicate negative nows?
Billy was making a histogram and his first interval was zero to six. What was his third interval? For 18 points
0 ----------- 6
_ to _
Billy was creating a histogram with a first interval of zero to six during the third break, which was between twelve and eighteen.
what is histogram ?The majority of the time, a histogram's numerical data will be continual (having infinite values). It would be ridiculous to try and show all possible values of a dichotomous scale along an axis. Large amounts of data as well as the frequencies of the data values can be seen in histograms.A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequencies of data items in a series of equal-sized numerical intervals. Typically, the independent variable is plotted along the horizontal axis in a histogram.
given
Second interval was between six and twelve, it says.
The third break lasted from twelve to eighteen.
Billy was creating a histogram with a first interval of zero to six during the third break, which was between twelve and eighteen.
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Answer: 12-----------------18
Step-by-step explanation:
Which is equivalent to (–9n + 12)?
-3(3n+4)
Step-by-step explanation:
answer from mathematics education book
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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Please answer the question above!
Answer:
B) \(A=4x+8\)
Step-by-step explanation:
Hi there!
Area of a trapezoid: \(A=\displaystyle\frac{1}{2}h(b_1+b_2)\)
⇒ b₁ = x-3
⇒ b₂ = x+7
⇒ h = 4
Plug the given information into the equation:
\(A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8\)
Therefore, the area of the trapezoid is \(4x+8\).
I hope this helps!
find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
Solve the following equation for I. A = 2 πr + πrl. Explain each step.
BRAINLY IF CORRECT
Answer:
Step-by-step explanation:
A = 2π +πrl
A - 2π = πrI subtract by 2π
(A- 2π)/(πr) = I divide by πr to isolate I
Help plz Easy math I know the answer isn’t A
Answer: B
Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.
You decide you need a new computer. The cost of the computer is $768. However,
the store also offers a rent to own option which will cost $37 per week for 24 weeks.
How much more will the rent to own option cost after you have made all of the
payments? S
Answer:32
Step-by-step explanation:
768/24=32
The person buying the new computer will pay $120 more when choosing the rent-to-own option of paying $37 per week for 24 weeks over paying the whole cost of $768 at once.
What is a rent-to-own contract?A rent-to-own contract is a contract where the buyer pays for something as rent to the owner until the set period in the contract.
How to solve the given question?In the question, we are informed that a person decides to buy a new computer. He has two options to buy. Either he can pay the full cost of the computer = $768, or he can choose a rent-to-own option, in which he will pay $37 per week for 24 weeks.
We are asked to find the extra cost that the person will pay if he chooses the rent-to-own option, after completing all his payments.
The total amount that the person pays in the rent-to-own option = $37*24
or, the total amount that the person pays in the rent-to-own option = $888.
The actual cost of the computer = $768.
∴ Extra payment = Total Payment - Actual cost
or, Extra payment = $888 - $768 = $120.
∴ The person buying the new computer will pay $120 more when choosing the rent-to-own option of paying $37 per week for 24 weeks over paying the whole cost of $768 at once.
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Which of the following best represents the linear regression equation for the
×-values and log(y)-values of the data shown below?
By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x
What is a regression line?A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.
By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:
y = 12.11.0.30^x
Thus, it can best be represented by: y = 12.11.1.36^x
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what is the solution to the equation
3(x+2)=2(x+5
Answer:
x=4
Step-by-step explanation:
3x+6=2x+10
x+6=10
x=4
3 (x + 2) = 2 (x + 5)
3x + 6 = 2x + 10
3x - 2x = 10 - 6
x = 4
The solution to the equation is 4.If 3220 = 8+7, what is the value of c?
01
02
03
05
Answer:
c = 3
Step-by-step explanation:
\( 32^{2c} = 8^{c + 7} \)
\( (2^5)^{2c} = (2^3)^{c + 7} \)
\( 2^{10c} = 2^{3c + 21} \)
\( 10c = 3c + 21 \)
\( 7c = 21 \)
\( c = 3 \)
what number need to be changed to make a linear function? And what does it have to turn into?
In order to have a linear function, the rate of change needs to be the same in each point
\(m=\frac{y_2-y_1}{x_2-x_1}\)For
(-18,2)=(x1,y1)
(-14,4)=(x2,y2)
\(m=\frac{4-2}{-14+18}=\frac{1}{2}\)for
(-14,4)=(x1,y1)
(-12,5)=(x2,y2)
\(m=\frac{5-4}{-12+14}=\frac{1}{2}\)for
(-12,5)=(x1,y1)
(0,12)=(x2,y2)
\(m=\frac{12-5}{0+12}=\frac{7}{12}\)as we can see here are the two numbers so we will obtain the equation in order to know the number that needs to be change
\(y=\frac{1}{2}x+11\)therefore if x=0
\(y=\frac{1}{2}(0)+11=11\)the number we need to change is 12 and need to be changed for 11
(0,11)
a. The number that needs to be changed in order to create a linear function is 12
b. That number needs to be changed to 11 in order for the function to be linear
i need help on this. anyone ?
Answer:
Read below
Step-by-step explanation:
To copy a segment, you have to open your compass to the length of the given segment. The instructions say to have an endpoint at R, so, with the compass open to the length of the given line segment, place one end of the compass at R and draw an arc that intersects the line that R lies on. This new segment is congruent to the given segment.
I hope this helps!
Pls help me!!!!!!
Pls help
What is 1 + 3 - 1? This is way to hard for me
THE ANSWER IS ###3 My gUy ! 1 ! ! !1 !1!
Answer:
The answers is 3
Step-by-step explanation:
PLEASE HELP ME FIRST ANSWER GETS BRAINLIST AND ANSWER MY OTHERS PLEASE
Answer:
2. ad is the angle bisector of angle a
3. ad is perpendicular to bc
4. both are right angles as given
5. common
6. ASA congruence
HELP ASAP ILL GIVE BRAINLIEST
Write an expression for
The product of eleven times a number less than 12
11(n - 12)
12n - 11
11n - 12
12 - 11n
Answer:
11n - 12
Step-by-step explanation:
The answers for the March 22 Recording Check
1. Solve the following one-step equation.
x+5=−7
x = -12 This is the correct answer
x = 2
2. An expression does NOT have an equal sign
The answer would be True
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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