Solution
For this case we can do the following:
\(\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}=\frac{1}{x+3}(x+5)=\frac{x+5}{x+3}\)Help
look at the picture
\(x7 - 2 \: or \: x \leqslant - 3\)
Select the correct answer. Which value of x makes this equation true? -12x - 2(x + 9) = 5(x+4)
Answer: x= -2/9
Step-by-step explanation:
-12x-2(x+9)=5(x+4)
= -12x-2x+18=5x+20
= -14x+18=5x+20
= -9x+18=20
= -9x=2
/-9 /-9
x= -2/9
Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
Find all complex solutions of 2x^2+x+6=0. (If there is more than one solution, separate them with commas.)
Answer:
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Step-by-step explanation:
Using quadratic formula, x=(-1±sqrt(1-48))/4.
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Answer:
If you do not understand any steps, please feel free to comment down below.
The budget for the summer soccer program in Milltown is $20,000. How much is spent on staff salaries?
$10,000
$8,000
$5,000
$4,000
$2,000
Answer: 4k
Step-by-step explanation:
There are approximately 8,441 people per square mile in Phoenix. If Phoenix is 964 square miles,
approximately how many people live in Phoenix.
Answer: 8,137,124
Step-by-step explanation:
You can find the answer by multiplying the number of people by the number of sq miles.
8441 * 964
Emily the blacksmith blends one alloy of silver that is 45% silver and another that is 95% silver. To the nearest ton, how much of each alloy is needed to make 139 tons of a 70% silver alloy?
please answer
Answer:
69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy
Step-by-step explanation:
Given
\(Alloy\ 1 = 45\%\)
\(Alloy\ 2 = 95\%\)
Required
How much of each alloy is needed for 70% silver alloy 139 tons
Let the amount of alloy 1 needed be x and the amount of 2 needed by y.
So:
\(x + y = 139\)
Make y the subject
\(y = 139 - x\)
The percentage of each needed is represented as:
\(45\% * x + 95\% * y = 139\)
\(45\% * x + 95\% * y = 70\% * 139\)
\(0.45x + 0.95y = 0.70 * 139\)
\(0.45x + 0.95y = 97.3\)
Substitute 139 - x for y in the above equations
\(0.45x + 0.95*(139-x) = 97.3\)
\(0.45x + 0.95*139-0.95*x = 97.3\)
\(0.45x + 132.05-0.95x = 97.3\)
Collect Like Terms
\(0.45x -0.95x = 97.3-132.05\)
\(-0.50x = -34.75\)
Make x the subject
\(x = \frac{-34.75}{-0.50}\)
\(x = 69.5\)
Recall that:
\(y = 139 - x\)
\(y = 139 - 69.5\)
\(y = 69.5\)
This implies that:
69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy
When simplifying an expression use the order of______
Answer:
Operations
Step-by-step explanation:
When simplifying any expression it's always important to use the order of operations to get the correct answer. A way of remembering it was BEDMASS. Which tells you which operation to go with first, and after.
Same set up as the problem
to the left. Fill in the blanks.
25
39
Answer:
Step-by-step explanation:
Huh?
State the name of the property illustrated.
4(-8+5)= - 32 + 20
The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.
The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.
In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:
4(-8 + 5) = (4 * -8) + (4 * 5)
This simplifies to:
4(-8 + 5) = -32 + 20
Finally, we can perform the addition:
-32 + 20 = -12
Therefore, the equation demonstrates the application of the Distributive Property.
know more about Distributive Property here:
https://brainly.com/question/2807928
#SPJ8
The product of five and a number plus 10 is at least thirty
Answer: Greater of equal sign
Step-by-step explanation:
5+10+x is greater than or equal to 30 ( use the greater of equal to sign)
Identify the relationship between the angles
Answer:
∠x and ∠y are congruent or equal
Step-by-step explanation:
∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.
OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles
OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles
Advertising a business. Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
Show all work
The inequality representing the given situation is -
300x + 700y ≤ 7500
What is advertising?Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.
Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
We can write the inequality as -
300x + 700y ≤ 7500
where -
{x} - number of online ads posted
{y} - number of TV ads poste
Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.
Therefore, the inequality representing the given situation is -
300x + 700y ≤ 7500
To solve more questions on inequalities, visit the link below -
https://brainly.com/question/16872672
#SPJ1
Simplify the expression (u-1)(u-4)(u+5)
Answer: D
Step-by-step explanation:
HELP please
David goes to LongHorn with his friend Alice. Their bill comes out to be $45.90. They decide to tip the waiter 25%. What is their total amount they leave?
Answer:
$57.38
Step-by-step explanation:
The total bill is $45.90.
They decided to tip the waiter 25%.
Therefore, the total amount they leave will be the total bill plus the amount they will tip.
They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).
So, the amount they will leave is the original amount plus the tip. So, in total, they left:
$45.90+$11.48 or $57.38
Answer:
57.38
Step-by-step explanation:
percent means per one hundred, or 1/100.
25%=25/100
45.90 times 25/100= 11.475
Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.
11.48+45.90=57.38
Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.
If 13/(5x + y)= 1/y what is the value of 2y/X ?
The value of the given mathematical expression is a 5/6.
According to the statement
we have to find the value of the 2y/X from the given statement.
So, For this purpose, we know that the
Mathematical expression is an expression is a combination of numbers, variables, functions.
From the given information, The expression is a:
13/(5x + y)= 1/y
Now, rearrange it then
13y/(5x + y)= 1
13y = (5x + y)
Now solve it then the value becomes
13y - y = 5x
12y = 5x
Divide it with the 6 then
2y = 5x/6
Then
2y/x = 5/6.
Now, the expression value becomes is 5/6.
So, The value of the given mathematical expression is a 5/6.
Learn more about Mathematical expression here
https://brainly.com/question/4344214
#SPJ9
please help i need help
Answer:
all i think
Step-by-step explanation:
because you just do the math 3 times 3 five times and do the same with the next
Can you please tell me the sum of the question
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
Ms. Hand had 56 cupcakes. She gave her students 4 every hour.
how can i write this in a equation
Answer:
56=4x
Step-by-step explanation:
I'm not sure about it but i believe thats the answer
Answer:
56 -(4×h)= amount of cupcakes she still has
Step-by-step explanation:
h equals hours
hope this helps
Zahra owns a food truck that sells tacos and burritos. She only has enough supplies to
make 120 tacos or burritos. She sells each taco for $4.25 and each burrito for $8.
Zahra must sell no less than $660 worth of tacos and burritos each day. Also, she can
sell a minimum of 80 burritos. If a represents the number of tacos sold and y
represents the number of burritos sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
Graph y≤150−x (shading down)
Graph y≥120− 7/11x (shading up)
For more results:
https://brainly.com/question/20879977?referrer=searchResults
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Answer:
140
Step-by-step explanation:
V=whl=7·4·5=140cm³
Answer:
140cm^3
Step-by-step explanation:
It is 140 because volume is base x length x height so 7 x 5 x 4 = 35 x 4 = 140 cm cubed so 140cm^3
Hope this helps
simplify the expression (x+6)^2
The simplified expression for (x+6)^2 is x^2 + 12x + 36.
The expression (x+6)^2 represents the square of the sum of x and 6. To simplify this expression, we need to use the formula for expanding a binomial squared, which is (a+b)^2 = a^2 + 2ab + b^2.
Applying this formula to our expression, we get:
(x+6)^2 = x^2 + 2(x)(6) + 6^2
Simplifying further:
(x+6)^2 = x^2 + 12x + 36
In summary, to simplify the expression (x+6)^2, we use the formula for expanding a binomial squared and simplify the resulting terms to get the simplified expression x^2 + 12x + 36.
To learn more about : expression
https://brainly.com/question/1859113
#SPJ11
Select all correct responses (more than one may be correct):Which of the following characteristics of a dataset indicate that linear regression (the kind we know how to do) may NOT be appropriate?Group of answer choices1. A scatterplot of the data looks like a U2. The data are drawn from 2 or more distinct groups3. A scatterplot of the data exhibits a strong negative correlation4. A scatterplot of the data looks like a V
The characteristics of a dataset indicate that linear regression (the kind we know how to do) may NOT be appropriate are, The data are drawn from 2 or more distinct groups, and A scatterplot of the data looks like a V.
These two characteristics indicate that linear regression may not be appropriate because the linear regression model assumes a linear relationship between the independent variable(s) and the dependent variable.
If the data are drawn from two or more distinct groups, this may indicate multiple relationships; therefore, a linear model may not be appropriate. If the scatterplot looks like a V, this may indicate a non-linear relationship, so a linear regression model may not be appropriate either.
To know more about linear regression, here
https://brainly.com/question/29665935
#SPJ4
Factor each polynomial. Look for a GCF first.
2x²-8k-90
O
2 (x-9) (x - 5)
2 (x + 9) (x + 5)
2 (x − 9) (x + 5)
2 (x + 9) (x - 5)
Answer:
Step-by-step explanation:
First, you could factor 2 out of the whole thing. The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)
How do I write 588.18 in scientific notation
Answer:
5.8818 × 102
Step-by-step explanation:
btw the 2 is an exponet lol
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
For more questions on equation
https://brainly.com/question/29174899
#SPJ8
A box with a square base and open top must have a volume of 318028 cm^3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x.] Simplify your formula as much as possible. A(x) = ______ Preview Next, find the derivative, A?(x) A'(x) = ___________ Preview Now, calculate when the derivative equals zero, that is, when A?(x) = 0. [Hint: multiply both sides by x^2.] A'(x) = 0 when x = ____________ We next have to make sure that this value of x gives a minimum value for the surface area. Let?s use the second derivative test. Find A? (x). A''(x) = _____________ Preview Evaluate A''(x) at the x-value you gave above. NOTE: Since your last answer is positive, this means that the graph of A(x) is concave up around that value, so the zero of A'(x) must indicate a local minimum for A(x). (Your boss is happy now)
At x = 86 gives minimum value of surface area and the dimensions of the box that minimize the amount of material used.
What is Surface Area ?The surface area of an object refers to the overall space filled by its surfaces. Different 3D shapes in geometry have various surface areas, which may be quickly estimated using the formulas we shall learn in this lesson. Two categories are used to classify the surface area:
Curved surface area or Lateral surface area
Surface area in total
V = x²h = 318028
h = 318028 / x²
∴ A( x ) = x² + 4ah = x² + 1272112 / x .
Derivative of A(x)
= 2x - 1272112 / x² = 0
After solving
x³ = 636056
x= 86
After doing double derivative we get the point as Positive,
A''(x) = 2 + 2544224 / x³
A''(86)= 6
Hence at x = 86 gives minimum value of surface area.
To learn more about surface Area, Visit:
https://brainly.com/question/29298005
#SPJ4
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
For more such questions on square
https://brainly.com/question/27307830
#SPJ8
A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased because the wells were put in place.
Answer:
H0 : μ = 120
H1 : μ < 120
We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.
Step-by-step explanation:
Average Number of infants who contracted typhoid monthly = 120
Average Number of infants who contracted typhoid monthly after well installation = 90
The null and alternative hypothesis :
H0 : μ = 120
H1 : μ < 120
Obtain the test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(90 - 120) ÷ 40/sqrt(9)
-30 ÷ 13.3333
= - 2.25
The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8
Tcritical at 95%, df = 8 ; one tailed = 0.02728
Decision region :
Pvalue < α ; Reject H0
0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.
hi can u try to help me solve? u have to find the domain and range and sketch the graph
The equation is y = 2 + √x
Domain : {0, ∞}
Range : { 2, ∞ }
What is Domain and Range ?
The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x).A function's range is the collection of values it can take as input.After we insert an x, the function outputs this set of values.
Given equation is,
y = 2 + √x
We have the square root, so the value cannot be negative.
so , x ≥ 0
so the domain is , {0, ∞}, {x | x ≥ 0}
find the range,
y( x → 0)
⇒ y = 2 + √0 = 2
So the range is, { 2, ∞ } {y | y ≥ 2}
The graph is given below↓↓
Therefore, The equation is y = 2 + √x
Domain : {0, ∞}
Range : { 2, ∞ }
To read more about Domain and Range
https://brainly.com/question/2264373
#SPJ9