Answer:
-33
Step-by-step explanation:
So we start out by plugging in the values for x and y which becomes:
-3 + (-3 x 10)
Then we do PEMDAS which tells us to solve the values inside the parentheses first( P in PEMDAS) which becomes:
-3 + -30
A negative number added to another negative number stays negative, giving us the answer:
-33
A store charges $6.96 for a case of mineral water. Each case contains 2 boxes of mineral water. Each box contains 4 bottles of minerals water. What is the cost of each bottle of mineral water?
The cost of each bottle of mineral water is $0.87.
Explanation:To find the cost of each bottle of mineral water, we need to divide the total cost of the case by the number of bottles in the case. A case contains 2 boxes and each box contains 4 bottles, so there are 2 x 4 = 8 bottles in a case. The cost of a case is $6.96, so the cost of each bottle is $6.96 divided by 8, which equals $0.87.
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The cost of each bottle of mineral water is $0.87.
Explanation:To find the cost of each bottle of mineral water, we need to divide the total cost of the case by the number of bottles.
The case of mineral water contains 2 boxes, and each box contains 4 bottles.
So, the total number of bottles in the case is 2 x 4 = 8.
Since the cost of the case is $6.96,
we can divide it by the number of bottles to find the cost of each bottle: $6.96 / 8 = $0.87.
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This circle is centered at the origin, and the length of its radius is 4. What is
the equation of the circle?
Answer:
D. x² + y² = 4²
Step-by-step explanation:
The general equation of a circle is given in the attached graphic.
In this case, we can see that the center of the circle is at the origin i.e (0,0) and that the radius is 4 units.
the values for h, k and r in the general equation are as follows:
h = 0, k=0, r = 4
putting this into the general equation:
(x-h)² + (y-k)² = r²
(x-0)² + (y-0)² = 4²
x² + y² = 4²
The equation of the circle centered at the origin with a radius of 4 is:
x² + y² = 4².
Option D is the correct answer.
We have,
The equation of a circle centered at the origin (0, 0) with a radius of 4 can be written in the form:
[tex]x^2 + y^2 = r^2[/tex]
where (x, y) represents any point on the circle and r is the radius.
Substituting the given radius of 4 into the equation, we have:
x² + y² = 4²
x² + y² = 16
Therefore,
The equation of the circle centered at the origin with a radius of 4 is:
x² + y² = 4².
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Jennie is training for a race. On Tuesday She finished her sprint 0.305 second faster than on Monday. be How can you explain the meaning of 0.305 Solve this problem anyway you choose
Answer: Hello there!
we know that on Tuesday, Jennie finished her sprint 0.305 seconds faster than on Monday, and we want to model this with math.
If we define x as the time in which she finished ger sprint on Monday, we can write the time for Tuesday as x - 0.305s
this is because she finished her sprint 0.305 seconds "faster", this means that she finished it in less time, so you need to subtract this number to the previous time.
Then the meaning of 0.305 is the amount of time that you need to subtract from the previous time, in order to get the actual time that she needs to finish the sprint.
Which expressions represent a perfect square monomial and its square root? Check all that apply.
121: 11
4x2, 2x
9x2 – 1; 3x - 1
25x, 5x
49x4; 7,22
Answer: A,B,E
Step-by-step explanation:
Answer:
Option 1,2 and 5 represent a perfect square monomial and its square root.
Step-by-step explanation:
To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.
Solution :
1) 121, 11
As [tex](11)^2=121[/tex]
This expression represents a perfect square monomial and it’s square root.
2) [tex]4x^2,2x[/tex]
As [tex](2x)^2=4x^2[/tex]
This expression represents a perfect square monomial and it’s square root.
3) [tex]9x^2-1,3x-1[/tex]
As [tex](3x-1)^2=9x^2+1-6x[/tex]
This expression does not represents a perfect square monomial and it’s square root.
4) [tex]25x,5x[/tex]
As [tex](5x)^2=25x^2[/tex]
This expression does not represents a perfect square monomial and it’s square root.
5) [tex]49x^4,7x^2[/tex]
As [tex](7x^2)^2=49x^4[/tex]
This expression represents a perfect square monomial and it’s square root.
Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.
Which values are in the solution set of |x| -8 < 12?
Find the linear function
represented by the graph.
The slope of the line is
The y-intercept of the line is at
What linear function is represented by the graph?
Answer:
The slope of the line is ⅓.
The y-intercept is at (0,3).
The linear equation for the line is:
y=⅓x+3
The linear function represented by the graph has a slope of 3 and a y-intercept of 9. The equation of the linear function is y = 3x + 9.
Explanation:The linear function represented by the graph has a slope of 3 and a y-intercept of 9. The slope of a line represents the rate of change of the y-values with respect to the x-values, while the y-intercept is the value of y when x=0. In this case, for every increase of 1 on the horizontal axis, the vertical axis increases by 3 units. The equation of the linear function is y = 3x + 9.
math question: i write 17 text messages to friends each week for x weeks in a row. write an expression for total members
Answer:
[tex]17x = y[/tex]
Step-by-step explanation:
Since we know that you write 17 text messages a week. 17 will be our constant number, now then after you said for x weeks.
Meaning that x would be our variable cause we can put an input of any number, then put it next to 17 because that is how many times you text a week.
17x = y
17 (how many times you text per week) x (how many weeks) = y (texts in total)
Help help me I need help my mom don’t wanna help me
Answer: 32÷4+3=11
Step-by-step explanation:
24÷3=8
A computer company sells its products with a 6 month warranty for every $500 spent. How many months of warranty protection come with a $2000 purchase?
Answer:
24 months or 2 years
Step-by-step explanation:
For every 6 months it costs $500 then 1 year would be $1000 because there are 12 months in a year. Then just multiply that times 2 because they have $2000 then you would get 24 :)
60 is 5 times as great as k.
Answer:
k=12
Step-by-step explanation:
60÷5=12
OR5+5+5+5+5+5+5+5+5+5+5+5=60
↑=12 5's
Hope this helps!!!
Brady
Answer:
It's 12
Step-by-step explanation:
60 = 5k
or, 60/5 =k
or, k=12
Hence, 60 is 5 times great as 12
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A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate per minute
12 inches= 1 foot
We have 4 feet
12*4=48
Therefore 48 cubic inches is the answer
Hope this helps!!!
A hot tub pump that circulates 4 cubic feet of water per minute circulates 6912 cubic inches of water per minute, as 1 cubic foot equals 1728 cubic inches.
Explanation:This question involves a conversion from cubic feet to cubic inches. 1 cubic foot is equivalent to 1728 cubic inches. Therefore, if the hot tub pump circulates 4 cubic feet of water per minute, we need to multiply 4 by 1728 to find out how many cubic inches that would be.
Using the multiplication rule for units, we get:
4 cubic feet x 1728 cubic inches/cubic foot = 6912 cubic inches
Therefore, the hot tub pump circulates 6912 cubic inches of water per minute>.
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Desiree and her mother went to the movies two times in the month of April. Each time she was charged the student rate of $7.50 while her mother was charged $9.00. How much money did Desiree and her mother spend on movie tickets in April?
Answer:
They spend $33.
Step-by-step explanation:
multiply 7.50x2=15 and multiply 9.00x2=18. Then add 15+18=33.
What is the value of x
What is the value of x?
Applying the triangle sum theorem, the value of x is: A. 28°.
The Triangle Sum TheoremThe triangle sum theorem states that, if all three interior angles in a triangle are added together, it will sum up to 180 degrees.Thus:
x = 180 - 95 - 57
x = 28°
Therefore, applying the triangle sum theorem, the value of x is: A. 28°.
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Answer:
28° or A
Step-by-step explanation:
Let's find x:
What information do we have to help us?
Information:
- Angle 1 = 95°
-Angle 2 = 57°
- Triangle
Using this information, we can solve for x.
A triangles sides all add up to 180°.
That is because it is half of a square and a squares sides all add up to 360°.
Let's make an algebraic equation.
95 + 57 + x = 180
Simplify.
152 + x = 180
Cancel out 152 by subtracting 152 from each number.
152 - 152 = 0
180 - 152 = 28
Plug into the equation.
x = 28°
The value of x is 28°.
That matches choice A.
Find the difference quotient
Answer:
[tex]\large\boxed{\dfrac{f(x+h)-f(x)}{h}=4x+2h}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2+4\\\\f(x+h)=2(x+h)^2+4\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\f(x+h)=2(x^2+2xh+h^2)+4\qquad\text{use the distributive property}\\\\f(x+h)=2x^2+4xh+2h^2+4\\\\\text{Substitute to}\ \dfrac{f(x+h)-f(x)}{h}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{2x^2+4xh+2h^2+4-(2x^2+4)}{h}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{2x^2+4xh+2h^2+4-2x^2-4}{h}\\\\\text{combine like terms}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{4xh+2h^2}{h}\qquad\text{distribute}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{h(4x+2h)}{h}\qquad\text{cancel}\ h[/tex]
[tex]\dfrac{f(x+h)-f(x)}{h}=4x+2h[/tex]
how do I show my work for this 50.04- 1.103
To show your work for the subtraction [tex]\(50.04 - 1.103\)[/tex], follow these steps:
1. Line up the Decimals:
Align the decimal points of both numbers, ensuring they are in the same vertical position.
[tex]\[ &50.040 \\ - &1.103 \end{align*} \][/tex]
2. Subtraction:
Begin subtracting from the rightmost column. Subtract 3 from 0, borrow 1 from 4, subtract 0 from 10, subtract 1 from 4, and subtract 1 from 5.
[tex]\[50.040 \\ - &1.103 \\ \underline{-} \end{align*} \][/tex]
[tex]\[ 48.937 \][/tex]
3. **Final Result:**
The result of [tex]\(50.04 - 1.103\)[/tex] is [tex]\(48.937\).[/tex]
By displaying each step of the subtraction process, you provide a clear and organized representation of your work.
There are 16 girls and 18 boys in a class. The teacher chooses a student’s name at random to answer a question. What is the probability that the teacher chooses a girl to answer the question?
A. 1/34
B. 1/16
C. 8/17
D. 8/9
Answer:C
Step-by-step explanation: The probability of choosing a girl is the number of girls over the total number of students. Since there are 16 girls and 16+18 students, 16/34=8/17. Hope this helps! (Could I please have brainliest?)
The probability of the teacher choosing a girl to answer the question is 8/17. The correct option is C.
To calculate the probability of the teacher choosing a girl to answer the question, we need to determine the ratio of the number of girls to the total number of students.
In the given class, there are 16 girls and 18 boys, making a total of 16 + 18 = 34 students.
The probability of selecting a girl is the number of favourable outcomes (girls) divided by the total number of possible outcomes (students).
Therefore, the probability is 16 (number of girls) / 34 (total number of students).
Simplifying this fraction, we have 8/17.
Hence, the correct option is C. 8/17, which represents the probability of the teacher choosing a girl to answer the question.
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32.
Simplify the expression.
-(10)^-2
10^2 -1/10^2
Answer:
Step-by-step explanation:
-(10)^-2 = -1/ 10² = -1/ 100
10² - 1/10² =100 - (-1/100 ) = 100+ 1 /100 = 9999/100
Andre is helping his father build a toy box for his little brother. The amount of space inside the toy box can be found by multiplying its width, length, and height. Write the amount of space, using an exponent. Then evaluate. The width is 3 ft. The length is 3 ft. The height is 3 ft.
Answer:3^3 (3 to the 3rd power) which is equal to 27 cubic ft.
Step-by-step explanation:
3x3x3=3^3
3^3=27
Carmen sells cars at a dealership that pays her a monthly salary of $2500 plus a
commission of $125 for every car she sells. A competing dealership has offered her a
job that pays a greater monthly salary of $2700, but only gives $100 commission on
each car sold. How many cars would Carmen have to sell in a month to get the same
pay from either dealership?
Answer:
Carmen would have to sell 8 cars in a month to get the same pay from either dealership.
Step-by-step explanation:
Let c = cars sold
Dealership #1 = 2500 + 125c
Dealership #2 = 2700 + 100c
2500 + 125c = 2700 + 100c
125c - 100c = 2700 - 2500
25c = 200
c = 8
Point M begins at (5,-2). Write the coordinates of Ry= 1 (M). Is this correctly illustrated
below?
Answer:
No
Step-by-step explanation:
The reflection (R) around the line y = 1 is not the point illustrated.
Notice that the original point M (5,-2) is THREE (3) units below the line y=1, therefore when doing the reflection, it should end up THREE units above the y=1 line.
That is, it should end up at the point (5,4 ) and not at (5,3) as is shown in the picture.
a submarine dives 462 feet beneath the surface. it then climes up 250 feet. what is the depth of the submarine now?
The surface would be 0.
First it dives 462:
0 - 462 = -462 feet,
It then climbs 250:
-462 + 250 = -212
The submarine is at -212 feet. ( 212 feet below the surface.)
Choose the function whose graph is given by:
Answer:
The answer to your question is letter A.
Step-by-step explanation:
A. This graph shows that is the sine graph, but it was moved to units up.
B. This is not the equation of the graph because the sine is negative then the graph should be inverted.
C. This is not the equation of the graph because the cosine graph starts in 1.
D. This is not the equation of the graph because it is cosine negative and the graph is different.
Answer:
[tex]y=sinx +2[/tex]
Step-by-step explanation:
We have to choose the function whose graph is given.
A.[tex]y=sinx+2[/tex]
Substitute x=0 then
[tex]y=0+2=2[/tex]
Therefore, y- intercept is at y=2.
Substitute [tex]x=\frac{\pi}{2}[/tex]
[tex]y=sin\frac{\pi}{2}+2=1+2=3[/tex] because ([tex]\sin\frac{\pi}{2}=1[/tex])
Substitute [tex]x=-\frac{\pi}{2}[/tex]
Then we get
[tex]y=sin(-\frac{\pi}{2})+2=-sin\frac{\pi}{2}+2=-1+2=1[/tex]
[tex] sin (-x)=-sinx[/tex]
Therefore, given graph is [tex]y=sinx +2[/tex]
B.[tex]y=-sinx+2[/tex]
When Substitute [tex]x=-\frac{pi}{2}[/tex]
Then, [tex]y=-sin(-\frac{\pi}{2})+2=sin\frac{pi}{2}+2=1+2=3[/tex]
But in graph at [tex]x=-\frac{pi}{2}[/tex] , y=-1
So,It is not true.
C.[tex]y=cosx+2[/tex]
When x=0
then we get [tex]y=cos0+2=1+2=3[/tex] (cos 0=1)
But in graph y - intercept at y=2
So, it is false.
D.[tex]y=-cosx+2[/tex]
Substitute x=0
Then, we get
[tex]y=-cos 0+2=-1+2=1[/tex]
So, it is false.
Answer: [tex]y=sinx +2[/tex]
A plumber charges $80 per hour to complete a job. She also charges an
additional fiat fee of $50 for each job. The total charge for one particular job
was $490. This situation is represented by the equation 80x-50 = 490.
How long did the job take?
Answer:
5.5! Now, you need to know why. The total cost was $490, there is a fee of $50, so subtract the fee from the total cost and you should then divide that by $80 because thats how much it is an hour.
The actual equation should be 80x + 50 = 490, not 80x - 50 = 490. By solving it, we find out that the job took 5.5 hours to complete.
Explanation:The given equation in the problem is incorrect. It should be 80x + 50 = 490, where x represents the number of hours the plumber worked. This equation accounts for the hourly charge (80x) and the upfront flat fee ($50). To solve for x, we begin by isolating it on one side of the equation. We subtract 50 from both sides to get 80x = 440. Then we divide both sides by 80, resulting in x = 5.5. Therefore, the plumber worked for 5.5 hours on this particular job.
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xm=x+z ,solve for x, Algebra 1
Answer: x = z/(m-1).
Step-by-step explanation: xm - x = z
x (m - 1) = z ; x = z/(m-1).
Evaluate the expression -5-3+1
Answer:
The answer is -7
Step-by-step explanation:
-5 - 3 = -8
-8 + 1 = -7
Hope I helped :)
Answer:
-7
Step-by-step explanation:
The rule for subtraction, in this case it is -5-3, you change the subtraction sign to addition and use the opposite of the second number, making it -5+(-3) which is -8. Then, you add 1 to -8, and the rule for this specific expression is to take the absolute value of both -8 and 1, then subtract the two, making the expression as of now 8-1. Subtract them, and get 7, but you take the sign of whichever number had the greatest absolute value, which was -8, so now the answer is -7. That's how you get your answer
-5-3+1= -5+(-3)+1
-8+1= |-8|-|1|
8-1= -7 (because you take the sign with the greatest absolute value, which is -8.)
Four more than five times a number is
two less than the number.
Answer:
4 + 5x = x - 2
Answer:
4 + 5x = x - 2
x=-1.5
Step-by-step explanation:
4 + 5x = x - 2
subtract 4 from both sides (or add negative whichever you prefer)
5x=x-6
now subtract x from both sides
4x=-6
now divide by 4
x=-1.5
The number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded. Which statement explains whether −1.5 can be a value in the shaded region? Yes it can, because −1.5 lies to the left of −0.5 Yes it can, because −1.5 lies to the right of −0.5 No it cannot, because −1.5 lies to the left of −0.5 No it cannot, because −1.5 lies to the right of −0.5
Answer:
Option A.
Step-by-step explanation:
Draw a number line from negative 5 to positive 5 with increments of 0.5. Make an empty circle on the first mark to the left of 0. It means mark an open circle at -0.5.
The region to the left of the empty circle is shaded. It means all the points lie on the left side of -0.5 at in the shaded region.
We need to find a statement that explains whether −1.5 can be a value in the shaded region.
Since −1.5 lies to the left of −0.5 , therefore -1.5 is in the shaded region.
Therefore, the correct option is A.
Answer:
C.)
Step-by-step explanation:
You have to use the line graph!
Please try to resist cheating and do the work!
The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown:
f(x) = 90 + 0.11x
What does f(30) represent?
The number of dollars spent to rent the car for 30 days
The number of miles driven on the car in 30 days
The number of dollars it costs to drive the car 30 miles
The number of miles driven for a cost of $30
The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown:
f(x) = 90 + 0.11x
What does f(30) represent?
Answer:
The number of dollars it costs to drive the car 30 miles
option C. The number of dollars it costs to drive the car is 30 miles.
The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown:
f(x) = 90 + 0.11x.
What does f(30) represent?
It represents the number of dollars it costs to drive the car 30 miles.
How much gas will it take to drive 30 miles?1.5 gallons
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30. 3 x (5 + 6) = 33
33. 14 - (8 - 2) - 1 =
36. (3 + 2) × (4 + 6) =
39. 6 x 4 + 5) =
Answer:
39. 29
36. 50
33. 7
30. 33
Step-by-step explanation:
39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:
[tex]6 \times 4 + 5 = 24 + 5 = 29[/tex]
36. Evaluate everything since everything is wrapped in parentheses:
[tex](3 + 2) \times (4 + 6) = 5 \times 10 = 50[/tex]
33. Evaluate everything inside of parentheses FIRST:
[tex]14 - (8 - 2) - 1 = 14 - 6 - 1 = 7[/tex]
I am joyous to assist you anytime.
If i^2 = −1 and x = i + 9, which is the result of squaring x?
Answer:
80 + 18i
Step-by-step explanation:
i² = -1
x = i + 9
x² = (i + 9)²
Applying; (a + b)² = a² + 2ab + b² concept,
x² = i² + 18i + 81
We know that i² = -1
So x² = -1 + 18i + 81
x² = 81 - 1 + 18i = 80 + 18i
The square of the complex number x = i + 9 is computed by squaring each term and combining the results, giving us 80 + 18i as the final squared value.
To square the complex number x = i + 9, we use the formula for squaring a binomial:
Square the first term: i² = -1.
Square the second term: 9² = 81.
Multiply the first term by the second term and by 2 for the middle term: 2 times i times 9 = 18i.
Sum all the terms together -1 + 81 + 18i = 80 + 18i.
So, the result of squaring x is 80 + 18i.