A man works five consecutive and makes $15.50 per hour.
decimal to fraction help
how do i write y=25x in function notation
Please help 33-40, thanks!
33. -8 belongs to:
Set of real numbers; all rational and irrational numbersSet of integers; positive and negative whole numbers34. 14 belongs to:
Set of natural numbers; all positive whole numbersSet of real numbers; all rational and irrational numbers35. 9.23 belongs to:
Set of real numbers; all rational and irrational numbers36. [tex]1\frac{5}{9}[/tex] belongs to:
Set of real numbers; all rational and irrational numbers37. Zero (0) belongs to:
Set of Integers; all positive and negative whole numbersSet of real numbers; all rational and irrational numbers38. -1 belongs to:
Set of integers; all positive and negative whole numbersSet of real numbers; all rational and irrational numbers39. 1/2 belongs to:
Set of real numbers; all rational and irrational numbers40. 0.3 where 3 is recurring belongs to:
Set of real numbers; all rational and irrational numbersthe square root of 2.4² +.7²
the square root of 2.4² +.7² is 2.89
Write the slope-intercept form of the equation for the line.
Write the slope-intercept form of the equation for the line.
Answer:
Y=Mx+b
Step-by-step explanation:
Yay
Evaluate p4+pq when p=8 q=6
what is 2.85 to the nearest tenth?
The answer is 2.9. You would round up since there is a 5
You round it up to 2.9
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car B traveled 22 mph faster than Car A. How fast did Car A travel? (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer in the box.
Answer:
Car A traveled at 55 mph.
Step-by-step explanation:
Suppose, the speed of Car A is [tex]x[/tex] mph.
As Car B traveled 22 mph faster than Car A , so the speed of Car B will be: [tex](x+22) mph[/tex]
Given that, Car A traveled the distance in 2.4 hours and Car B traveled the distance in 4 hours.
As, [tex]Distance= Speed*Time[/tex]
So, the distance traveled by Car A [tex]=2.4x[/tex] miles
and the distance traveled by Car B [tex]=4(x+22)[/tex] miles
Given that, two cars traveled equal distances. So, the equation will be......
[tex]2.4x=4(x+22)\\ \\ 2.4x=4x+88\\ \\ 2.4x-4x=52.8\\ \\ -1.6x=52.8\\ \\ x=\frac{52.8}{-1.6}=-33[/tex]
Thus, the speed of Car A will be -33 mph.
Answer:
The speed of Car A = -55 km/h
Step-by-step explanation:
Given, Time taken by Car A = 2.4 hour
and Time taken by Car B = 4 hour
Also, Car B traveled 22 mph faster than Car A
Let the speed of Car A = x km/h
Then the speed of Car B = (x + 22) km/h
As we know that Distance = Speed × Time
⇒ Distance of Car A = 2.4 × x = 2.4x km
and Distance of Car B = 4 × (x + 22) = 4(x + 22) km
Also it is given that distance traveled by both the car is same.
⇒ 2.4x = 4(x + 22)
⇒ 2.4x = 4x + 88
⇒ 2.4x - 4x = 88
⇒ -1.6x = 88
⇒ x = -55
Thus, the speed of Car A = -55 km/h
and, the speed of Car B = -55 + 22 = -33km/h
What are 3 fractions that have the same product as 30/64
15/32 - .4688 - 11.9063
I'm sorry what are you asking for??
what is the product of two more than a number and seven is thirteen
The answer is x = 15
The equation would be x + 2 = 17
The product of two more than a number and seven is thirteen when x = 13/7 - 2.
Explanation:The question is asking us to find the product of two more than a number and seven, given that the result is thirteen. Let's call the number x. The expression "two more than a number" can be written as (x + 2). The equation can then be written as (x + 2) * 7 = 13. To solve for x, we divide both sides of the equation by 7, giving us x + 2 = 13/7. Subtracting 2 from both sides, we get x = 13/7 - 2.
So, the solution is x = 13/7 - 2.
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as my teacher was explaining this, i didn't have enough time to ask her how we got to $20.00. so how do i get to 20 if the markup is $7.50?
You got the twenty by adding the markup price and the original price.
What is 5 8/12 as a mixed number in simplest form
Your fraction is in a mixed number. But if you wanted an improper fraction it would be 17/3 in simplest form.
Another instance when you may face a cost-benefit analysis is if you frequently visit a café that serves coffee. Yes, this example is near and dear to my heart. Some cafés offer special refillable mugs in an effort to reduce waste. One such mug at a particular café costs $3.50 and holds 16 oz. of delicious coffee. Refills of this mug are $0.50. If you elect to forgo this refillable coffee mug, you can buy a disposable cup of coffee that only holds 12 oz. for $1.00. At what volume of coffee does buying the refillable mug become cost-effective?
Refillable mug:
Fixed cost is $3.50 including 16 oz of coffee
Each additional 16 oz of coffee cost $0.50
Disposable cup:
Cost is $1.00 per 12 oz of coffee
We can build up a table showing number of purchases, cost, and amount of coffee for each type of purchase until we see the refillable cup becoming cheaper.
Refillable Mug Disposable cup
Cost Amount Cost Amount
1 3.50 16 1.00 12
2 4.00 32 2.00 24
3 4.50 48 3.00 36
4 5.00 64 4.00 48
5 5.50 80 5.00 60
Notice that with 3 fill ups of the refillable cup, you have bought 48 oz of coffee for $4.50. With the disposable cup, the same 48 oz of coffee represent 4 cups, but at only $4.00, so up to the amount of 48 oz of coffee, you are better off buying the disposable cups.
When you spend $5.00, you can have 64 oz of coffee using the refillable cup or 60 oz of coffee using the disposable cup. When you spend $5.00 and up, then the refillable cup gives you the better price.
Answer: The refillable cup becomes cost effective at 64 oz.
how many pounds of premium coffee beans thats $9.50 pounds should be mixed with 2 pounds of supreme coffee thats $11.75 pounds to make the blend coffee that's 10.00 pounds
Answer:
We need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.
Step-by-step explanation:
Lets take the amount of $9.50 coffee added was [tex]x[/tex] pounds.
The requirement is that the value of 1 pound of resulting mixture of coffee to be $10.
We can use the weighted average value to find the value of the resulting mixture.
⇒[tex]\frac{(9.5*x)+(11.75*2)}{(x+2)} =10[/tex]
=[tex](9.5*x)+(23.5)=10(x+2)[/tex]
=[tex]9.5x+23.5=10x+20[/tex]
=[tex]3.5=0.5x[/tex]
=[tex]x=7[/tex]
So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.
7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to create a blend that costs $10.00 per pound. An equation is set up and solved to find the amount of premium coffee needed.
The student is asking how many pounds of premium coffee beans at $9.50 per pound should be mixed with 2 pounds of supreme coffee costing $11.75 per pound to create a coffee blend that costs $10.00 per pound. To solve this, we can set up an equation to represent the total cost of the coffee before and after mixing.
Let x be the number of pounds of premium coffee that we want to find. The cost for the premium coffee will then be x times $9.50. For the supreme coffee, we have 2 pounds at $11.75 per pound which gives us a total cost of $23.50. For the blend, we want the total pounds of coffee, which is x + 2 pounds, to be multiplied by the target price of $10.00 per pound.
The equation that represents the price point of the mixture is:
9.50x + 23.50 = 10.00(x + 2)
To find x, we solve the equation by distributing the $10.00 across x + 2 and moving all terms involving x to one side to isolate the variable:
9.50x + 23.50 = 10.00x + 20.00
Subtracting 9.50x from both sides:
23.50 = 0.50x + 20.00
Subtracting 20.00 from both sides gives us:
3.50 = 0.50x
Dividing both sides by 0.50 gives us the result:
x = 7 pounds
Therefore, 7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to obtain a blend that costs $10.00 per pound.
A salad dressing recipe requires at least 8 oz of oil to be combined with some combination of vinegar and lemon juice in a 16 oz container. What inequality models this situation? Let x represent the number of ounces of vinegar and let y represent the number of ounces of lemon juice. Enter your answer in the box.
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
[tex]x+y+8\geq16[/tex]
Answer:
This is the right answer ♡ hope it helps ;)
Step-by-step explanation:
Rewrite (3x6) - (3x3) using distributive property
Using the distributive property, the rewritten form of (3x6) - (3x3) is 3(x6 - x3), factoring out the common factor of 3.
Explanation:To rewrite (3x6) - (3x3) using the distributive property, we need to factor out the common factor, in this case 3, from both terms. The distributive property states that a(b + c) = ab + ac. Applying this to our expression, we get:
3(x6 - x3).
Here, we simply factored out the 3 from both terms, leaving us with (x6 - x3) enclosed in parentheses.
Julio cubes a number and then the cube root of the result.he ends up with 20.what number did Julio start with
[tex](\sqrt[3]{x^{3} }) = 20[/tex]
x = 20
Answer: 20
Which expression is equivalent to 2/7k(k-7)? Assume k=0.A. 2/7-k,B. 2/7-2/k,C. 2k/7-7,D. 2k/7k-2k
[tex]\dfrac{2}{7k}(k-7)\qquad|\text{use distributive property}\\\\=\left(\dfrac{2}{7k}\right)(k)-\left(\dfrac{2}{7k}\right)(7)=\dfrac{2}{7}-\dfrac{2}{k}[/tex]
This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Write an algebraic expression for the approximate number of names in p pages of the directory
.
number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page
number of names(p) = 4*10*11*p = 440*p
The algebraic expression for the number of names in p pages is 440*p
The algebraic expression to estimate the total number of names in p pages of the telephone directory is 440p, where p represents the number of pages.
Explanation:To calculate the approximate number of names in p pages of the telephone directory, we start with the given information: there are 11 names in a 1-inch column.
Since each page has four 10-inch columns, first we calculate the number of names in one column by multiplying the number of names in 1 inch by its height in inches:
11 names/inch × 10 inches = 110 names/column
Then, to find the number in 4 columns per page we multiply by 4:
110 names/column × 4 columns = 440 names/page
Finally, to find the number in p pages, we use the algebraic expression:
440 names/page × p pages = 440p
This expression can be used to estimate the total number of names in p pages of the directory.
please include graph if you can thanks!
first function is f(x)= x+4
We make a table, plug in some numbers for x and find out y
x y= x+4
-4 0
3 7
Then graph the table using points (-4,0) and (3,7)
Second function is f(x)= 2x - 1
We make a table, plug in some numbers for x and find out y
x y= 2x - 1
3 5
6 11
Then graph the table using points (3,5) and (6,11)
The graph is uploaded below
John’s car gets 36 miles to one gallon of gas. How much gas will he use to travel 81 miles?
81 ÷ 36 = 2.25
John will use 2.25 gallons of gas to travel 81 miles
what statement complete the proof below given 3x+ 7=x-5
To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. The statement that completes the proof is x = -6.
Explanation:To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. Let's solve for x:
Combine like terms: 3x - x = -5 - 7 Simplify the equation: 2x = -12 Divide both sides of the equation by 2: x = -6
The statement that completes the proof is: x = -6.
x-3y=7 and 2x-6y=12 solving by elimination
x-3y=7 2x-6y=12
You can multiply -2 in the first equation like this.
x+6y=7
2x-6y=12
Now you can eliminate 6y and -6y so cross them out and do x-2 which is -1 and 7-12 which is -5 -1/-5 would be .2
Solve for x
−4≤11−3x
Please Help
You can answer this like any other equation.
First, subtract 11 from both sides. The equation becomes [tex]-15\leq -3x[/tex].
Next, you have to divide both sides by -3. HOWEVER, when you multiply or (in this case) divide by a negative number in an inequality equation, you must flip the sign. So the answer becomes [tex]5\geq x[/tex].
The solution for the given inequality is x≤5. Therefore, option B is the correct answer.
The given inequality is −4≤11−3x.
We need to solve the given inequality for x.
How do solve inequalities?Use addition, subtraction, multiplication, and division to move the variable to one side and isolate it. Once you have isolated the variable, you have solved the inequality. Reverse the inequality sign whenever you multiply or divide by a negative number.
Now, for the inequality −4≤11−3x add 3x on both sides.
That is, -4+3x≤11
Add 4 on both sides of the obtained result.
That is, -4+3x+4≤11+4
⇒3x≤15
⇒x≤5
The solution for the given inequality is x≤5. Therefore, option B is the correct answer.
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Can anyone help me please
Y=1/2x
Y= 4x
Y= 1/4 x
Y= 2 x
It's a line in form y = mx.
Two points:
(0, 0) and (1, 4)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{1-0}{4-0}=\dfrac{1}{4}[/tex]
Answer: [tex]y=\dfrac{1}{4}x[/tex]
a movie was sold out for four straight days. If 535 tickets were sold each day, how many tickets were sold in all???
Plot the x- and y-intercepts to graph the equation.
y=−x−5
Answer:
What what the answer
Step-by-step explanation:
cause i neeed it ;~;
A customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.He had to pay $112.How much had he paid for the first light fixture
$29 times 3 is $87
$112-$87 = $25
52-25= 35
The customer paid $35 for the first light fixture. I think.
The cost of the first light fixture is $27.
Given that, a customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of first light fixture be x.
Now, x=52+3×29 - 112
=52+87 - 112
= 139 - 112
= 27
Therefore, the cost of the first light fixture is $27.
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I need help with this question☝
all together they raised $860.81
The 3 classes raised 1109.81.
In order to find this we need to start with information we know.
Moore's class: 249
Now we know Aguilar's class is Moore's class + 396.62
Moore + 396.62
249 + 396.62 = 645.62
And we know that Barry's class is Aguilar's class - 430.43
Aguilar - 430.43
645.62 - 430.43 = 215.19
Now we can add all 3 numbers together to get the final answer.
249 + 645.62 + 215.19 = 1109.81