if a=b then ac=bc. this called the of quality.(2words)
The total cost CC (in dollars) to participate in a ski club is given by the literal equation C=85x+60C=85x+60, where xx is the number of ski trips you take
How many ski trips do you take if you spend a total of $315? $485?
Answer:
The total cost C (in dollars) to participate in a ski club is given by the literal equation :
[tex]C=85x+60[/tex]
Where x is the number of ski trips you take.
1. When C = 315 ;substituting the value of C in the above equation.
[tex]315=85x+60[/tex]
=> [tex]85x=315-60[/tex]
=> [tex]85x=255[/tex]
x = 3 trips.
2. When C = 485
[tex]485=85x+60[/tex]
=> [tex]85x=485-60[/tex]
=> [tex]85x=425[/tex]
x = 5 trips.
Which pair of angles are interior angles?
A. 1 and 8
B. 3 and 6
C. 3 and 4
D. 3 and 5
3 & 5 are the interior angles
Answer is D
Which represents a rational Number and how can you tell?[tex] \sqrt{17} \sqrt{36} \sqrt{50} \sqrt{101} [/tex]
Which expression is equivalent to x6 – 9?
Answer:
(x3)2 – 32
Step-by-step explanation:
There is 6/8 of a birthday cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?
divide both 6 & 8 by 2 6/2 = 3
8/2 = 4
so 6/8 = 3/4
there is 3 pieces
What expression completes the equation 30/2+10
A. 3(2+3)
B. 7(2+1)
C. 6(3+7)
D. 5(4+1)
If r = x, y, z and r0 = x0, y0, z0 , describe the set of all points (x, y, z) such that |r − r0| = 5.
We are concern about the vector (x-x0, y-y0, z-z0) equaling to 5.
This happens when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5
Square both side:
(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 25 , a sphere
Which you will recognize as a circle of radius one centered at (x0, y0, z0)
Answer:
Point [tex]\left ( x,y,z\right )[/tex] represents a sphere
Step-by-step explanation:
Take [tex]r=\left ( x,y,z \right )\,,\,r_0=\left ( x_0,y_0,z_0 \right )[/tex]
We need to describe the set of all points (x, y, z) such that [tex]\left | r-r_0 \right |=5[/tex]
Solution :
For [tex]r-r_0=\left ( x,y,z \right )-\left ( x_0,y_0,z_0 \right )[/tex], we will subtract the respective elements .
[tex]r-r_0=\left ( x,y,z \right )-\left ( x_0,y_0,z_0 \right )=\left ( x-x_0,y-y_0,z-z_0 \right )[/tex]
Therefore, [tex]\left | r-r_0 \right |=\sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2}[/tex]
As [tex]\left | r-r_0 \right |=5[/tex], we get
[tex]\sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2}=5[/tex]
On squaring both sides, we get
[tex]\left ( \sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2} \right )^2=5^2\\(x-x_0)^2+(y-y_0)^2+(z-z_0)^2=25[/tex]
The general equation of a sphere is (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) denotes the center of the sphere and r represents the radius .
So, [tex](x-x_0)^2+(y-y_0)^2+(z-z_0)^2=25[/tex] represents a sphere with center as [tex]\left ( x_0,y_0,z_0 \right )[/tex] and radius equal to 5 units
Using graphite furnace atomic absorption spectrometry, the mean cadmium (cd2 ) content value in a homogenized sample of 40 zebra mussles was found to be 7.50 ppb cd2 with a standard deviation (s) of 0.52 ppb cd2 (assume that s is a good approximation of σ). calculate the 90% and 95% confidence intervals (ci) for: (a) two analyses and (b) five analyses of this homogenized sample.
Solve for a. 15(25−5a)=4−a
A- 0
B-−1
C-all real numbers
D- no solution
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]\dfrac{1}{5}(25-5a)=4-a[/tex]
We need to find the value of 'a'.
First we simplify the brackets :
[tex]\dfrac{1}{5}(25-5a)=4-a\\\\25-5a=5(4-a)\\\\25-5a=20-5a\\\\25-20=-5a+5a\\\\5=0[/tex]
which is wrong.
Hence, there is no solution.
Therefore, Option 'D' is correct.
Each marble bag sold by jenny's marble company contains 3 yellow marbles for every 5 orange marbles. if a bag has 15 yellow marbles, how many orange marbles does it contain?
simplify
14+4(12−34)2
Answer: The required simplified answer is 1950.
Step-by-step explanation: We are given to simplify the following algebraic expression :
[tex]E=14+4(12-34)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To simplify the given expression, first we evaluate the square term, multiply it by 4 and add the result to 14.
From expression (i), we get
[tex]E\\\\=14+4(12-34)^2\\\\=14+4(-22)^2\\\\=14+4\times484\\\\=14+1936\\\\=1950.[/tex]
Thus, the required simplified answer is 1950.
how do you write the decimal 0.7 as a fraction in simplest form
If x represent a number , then write an expression for one half the sum of x and 7
the sum of x and 7 would be x+7
then to get half of that you would divide by 2
so equation is (x+7)/2
Elton pours 41 1/4 ounces of water from a large pitcher into a bottle. That amount is 2/5 of the water that was in the pitcher. There were _____ ounces of water in the pitcher.
Write your answer as a mixed number in lower terms.
Round 90608.5881594 to 1 decimal place
Answer:
90608.6
Step-by-step explanation:
Round 90608.5881594 to 1 decimal place
To round the answer to 1 decimal place , we round the answer to nearest tenth.
In the given number , 5 after decimal point is in tenths place
8 is in hundredths place
Here 8 in hundredths place is greater than 5. If it is greater than 5 then we add 1 in tenths place
So 5 in tenths place becomes 6
90608.5881594 to 1 decimal place is 90608.6
Stan and hilda can mow the lawn in 35 min if they work together. if hilda works twice as fast as stan, how long would it take stan to mow the lawn alone?
Dos angulos consecutivos de un paralelogramo estan e la relacion de 2 a 7. calcula el mayor angulo del paralelogramo
geometry help me please
write an equasion in slope-intercept form. What are the slope and y intercept? -2x - 11y = 5
y=-2/11x-5/11 is the required slope intercept form
Slope is -2/11
y intercept is -5/11
The given equation is -2x-11y=5, We need to find the slope intercept equation, slope and y intercept.
What is slope intercept form of a line?y=mx+c
m is the slope of the line
c is the y intercept of line
The given equation is -2x-11y=5
We need to separate the y variable to find the slope intercept form
-11y=5+2x
To convert the above equation to slope intercept form, we need to divide both sides by -11.
y=-5/11-2/11x
Therefore y=-2/11x-5/11 is the required slope intercept form for -2x - 11y = 5
Slope is -2/11
y intercept is -5/11
To learn more on slope intercept form click here:https://brainly.com/question/20786109
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70 is 20% of what number
It takes the earth 24 hours to complete a full rotation. It takes mercury approximately 58 days, 15 hours, and 30 minutes to complete a full rotation. How many hours does it take mercury to complete a full rotation?
Mercury takes approximately 1407.5 hours to complete a full rotation, calculated by converting 58 days, 15 hours, and 30 minutes entirely into hours.
Explanation:To calculate how many hours it takes for Mercury to complete a full rotation, we need to convert the given time of approximately 58 days, 15 hours, and 30 minutes into hours. Here are the step-by-step calculations:
First, convert the days into hours. Since there are 24 hours in a day, we multiply 58 days by 24 hours per day.58 days × 24 hours/day = 1392 hoursNext, add the additional hours to the total from the days.1392 hours + 15 hours = 1407 hoursFinally, convert the minutes to hours. There are 60 minutes in an hour, so we divide 30 minutes by 60.30 minutes ÷ 60 minutes/hour = 0.5 hoursAdd this to the total number of hours.1407 hours + 0.5 hours = 1407.5 hoursTherefore, it takes Mercury approximately 1407.5 hours to complete a full rotation.
Let −→ ab= h2, −3, −1i. if the coordinates of a are (2, −1, 5), what are the coordinates of the point b?
A soccer player runs 1 5/6 miles during the first half of a match and 2 1/2 miles during the second half. How many miles does he run during the match in total?
if <PQR measures 75°, what is the measure of <SQR?
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
positive
Step-by-step explanation:
The slope is the inclination of the line with respect to the x-axis. It is denoted by the letter [tex]m[/tex]. In mathematical language, the slope [tex]m[/tex] of the line is defined as the difference on the y-axis divided by the difference on the x-axis for two different points [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] on the line:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]
If:
[tex]m>0[/tex] The slope is positive and the line is increasing from left to right[tex]m<0[/tex] The slope is negative and the line is decreasing from left to rightIf a line is vertical the slope is undefined[tex]m=0[/tex] is a constant function.
Since the graph of the linear function shown is increasing from left to right, we can conclude that the slope is positive.
Find an equation of a linear function given h(1)=6 and h(4)=-3
We can rewrite this in the form of h (t):
at t = 1, h = 6
at t = 4, h = -3
The linear equation is in the form of:
h = mt + b
where m is the slope and b is the h-intercept
So calculating for the slope m:
m = [-3 – 6] / (4 – 1)
m = (-9) / 3
m = -3
So,
h = -3t + b
Solving for b by plugging in any pair:
6 = -3(1) + b
b = 9
Therefore:
h = -3t + 9
what is the solution of 1/3b = -3
Whats the rule for this pattern, 3,1.5,0,-1.5,-3
Final answer:
The rule for the pattern 3, 1.5, 0, -1.5, -3 is to subtract 1.5 from the previous term in the sequence.
Explanation:
The rule for the number pattern 3, 1.5, 0, -1.5, -3 is subtracting 1.5 from the previous number each time. To identify this, observe the difference between consecutive terms:
From 3 to 1.5 we subtract 1.5 (3 - 1.5 = 1.5).
From 1.5 to 0 subtract 1.5 (1.5 - 1.5 = 0).
From 0 to -1.5 subtract 1.5 (0 - 1.5 = -1.5).
And from -1.5 to -3, again subtract 1.5 (-1.5 - 1.5 = -3).
This pattern consistently decreases by 1.5, and it can be continued indefinitely by keeping this rule in mind.
Add.
(6x3+3x2−2)+(x3−5x2−3)
pleaseeeeeee answer in standard form!!!!