For this case we must solve the following equation:
[tex]\frac {4} {3} y-5 = -6[/tex]
Adding 5 to both sides of the equation we have:
[tex]\frac {4} {3} y = -6 + 5[/tex]
Different signs are subtracted and the major sign is placed.
[tex]\frac {4} {3} y = -1[/tex]
We multiply by 3 both sides of the equation:
[tex]4y = -3[/tex]
We divide by 4 on both sides of the equation:
[tex]y = - \frac {3} {4}\\y = -0.75[/tex]
Thus, the solution of the equation is [tex]y = -0.75[/tex]
Answer:
[tex]y = -0.75[/tex]
Which one of the following is NOT true about the expression shown
9x^2-8x-3
A) The expression is trinomial
B) The degree is 2
C) the leading coefficient is 9
D) The constant term is 3
Answer:
A) The expression is a trinomial.
Step-by-step explanation:
If the degree is 2, the expression would be a binomial, not a trinomial. If this answer is correct, please make me Brainliest!
What are the coordinates of vertex F of parallelogram FGHJ?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Answer:
D (-4,2)
Step-by-step explanation:
The coordinates of F is (-4,2), the correct option is D.
What is a Parallelogram?A parallelogram is a polygon with four sides, the opposite sides of the parallelogram is equal and parallel.
The figure is attached with the answer.
The final image is obtained by series of Transformations
1. Translation (1,2)
Translation T₁,₂ is (x,y)→(x+1,y+2)
So, After translation from F to F' the point F' = (x+1,y+2)
2. After Reflection along y axis F" = (-(x+1), y+2)
F" = ( 3,4)
F' = (-3,4)
F = (-4 , 2)
Therefore, the coordinates of F is (-4,2), the correct option is D.
The missing figure is attached with the answer.
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Help me I’m new I’m in 8th
Answer:
14.1 in³
Step-by-step explanation:
Volume of sphere:
(4/3) × pi × r³
(4/3) × (22/7) × 1.5³
= 14.1428571426 in³
Answer:
14.1 cubic inch
Step-by-step explanation:
[tex]volume \: of \: knob \\ = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {1.5}^{3} \\ = \frac{4}{3} \times 3.14 \times 3.375 \\ = \frac{4}{3} \times 10.5975\\ = \frac{42.39}{3} \\ = 14.13 \: {inch}^{3} \\= 14.1 \: {inch}^{3} \\ [/tex]
is (0,0) a solution of the graphed inequality?
Answer:
No
Step-by-step explanation:
I need help like now pls :,) There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
It would be nice if you could help
Answer: 825 minutes
Step-by-step explanation: We know there is a total of 15 people in the book club. We also know that 10 people each read an average of 65 minutes each day, and the remaining 5 people read for an average of 35 minutes each day.
To find the total amount f minutes read, simply multiply the amount of people by the minutes read.
10 x 65 = 650 total minutes read if 10 people each read 65 minutes for one day.
5 x 35 = 175 total minutes read if 5 people each read for 35 minutes in one day.
Now, simply add the total minutes read to find the reading time fr the entire book club each day.
650 + 175 = 825 average reading time for the entire book club each day.
3/5 of a number is 30 whats the number
Answer:
50
Step-by-step explanation:
We could call this number x in our equation. First set the equation to this
[tex]\frac{3x}{5} = 30[/tex]
Multiply on both sides to get rid of 5
now it looks like this...
[tex]3x = 150[/tex]
divide 150 by 3 and you get this
x=50
Thank me later :)
Answer:
50
Step-by-step explanation:
Let the number be X
⅗X = 30
X = 30 × 5/3
X = 50
what is another way to write x 4/3
Answer:
^3(square root symbol) x^4 this is for radicals only
Step-by-step explanation:
If you are doing fractions then the correct answer would be x1 1/3
Explanation for ^3(square root symbol) x^4
When writing these in radicals simplified x^4/3 you put the denominator over your square root, and your numerator will be squared by your denominator. But your numerator must be to x as x is the constant. So ^3(square root symbol) x^4 = x^4/3
Explanation for x1 1/3
When simplifying fractions you take out the extra of the fraction and turn it into its own fraction, and the whole fraction you are left with, in this case being 3/3, you turn into a whole number, which is 1, and you add your left over fraction, 1/3, and put them together 1 1/3, but don't forget your x, x1 1/3
The expression 'x 4/3' can alternatively be written as the cube root of x to the fourth power, expressed as ∛[tex](x^4)[/tex]a mathematical context.
Explanation:The statement x 4/3 is a mathematical expression which can be interpreted in different ways based on context.
If the intention is to write the expression x to the power of 4/3, it can be expressed as a radical, specifically as the cube root of x4.
The cube root operation can be represented by the radical symbol, so the alternative way to write it would be ∛(x4).
This would not be a Unit Conversion question. It is essential to understand that without further context, the expression is ambiguous and might represent other mathematical operations or concepts.
However, it does not seem to relate directly to any of the extraneous information provided.
Can someone actually answer this question pls its my 3rd time posting it and ill ive gotten was wrong or answers that make no sence. Pls explain your work!!!!! THANKS
Answer:
(-2+-5) equals -7.
Because the signs are the same, we dont change it.
(3+5) equals 8. Same like the other equation, the signs are the same so we do not change it.
Now we do (-7+8) The answer will be 1. Lets use a little graph since its hard to explain.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Mark -7 anyway you want. (Circle it, draw a line under it, what ever you want.)
Now Move the line 8 times.
When you do that your line will stop at 1.
And thats how you do it.
Step-by-step explanation:
Answer:
All you have to do is Subtract the first number of both equation so 2-3= 1.
Step-by-step explanation:
The sides of a triangle are 3x+2, 6x-1 and 7-x. Express the perimeter of the triangle in terms of x.
Answer:
8x+8
Step-by-step explanation:
The perimeter is all the sides added together:
3x+2+6x-1+7-x = 8x+8
The perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
Given,
The sides of a triangle are 3x+2, 6x-1, and 7-x.
We need to express the perimeter of the triangle in terms of x.
What is the perimeter of a triangle?
It is given by:
Perimeter = sum of all three sides.
Find the sides of a triangle.
We have,
One side = 3x + 2
Second side = 6x - 1
Third side = 7 - x
Find the perimeter of the triangle.
Perimeter:
= one side + second side + third side
= (3x + 2) + (6x - 1) + (7 - x)
= 3x + 2 + 6x - 1 + 7 - x
= 3x + 6x - x + 2 - 1 + 7
= 8x + 8
Taking 8 common
= 8 ( x - 1 )
Thus the perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
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Round 8.438 to the nearest tenth.
Answer:
8.4
Step-by-step explanation:
To round to the nearest tenth, first go to the hundredth place, which in this case is a 3. If this is number is lower than 5, keep the tens place as it is, which is how it is in this problem.
Answer:
8.4
Step-by-step explanation:
The tenths is the first number to the right of the decimal. If the number to the right of the tenths digit is 5 or above you round it up, if it is less than 5 you round it down. In this case it is 3 which is less than 5 so you round it down to 8.4
the equation y=-7x-5 and another equation have a solution of (-2,9). what is the second equation?
I'm guessing there's a menu of choices to go with this one, and we just need to try (-2,9) with each choice. But it's a much more interesting problem without the menu.
First we verify (-2,9) is on the line y=-7x-5,
-7(-2)-5 = 14-5 = 9, good.
There's a whole family of possibilities for the second equation, basically all the other lines through (-2,9). Believe it or not, that's called a pencil of lines. We need two parameters a and b, whose values only matter in ratio, to represent all these. If we tried to do it with just the slope we'd miss one line, the vertical line x=-2.
We'll do the line through (-2,9) and (a,b). A little thought tells us it's
(a + 2)(y - 9) = (b - 9)(x + 2)
When we plug in (-2,9) we get 0=0, good. When we plug in (a,b) we get
(a + 2)(b - 9) = (b - 9)(a + 2)
which is also true.
(a + 2)(y - 9) = (b - 9)(x + 2)
(b - 9)x - (a+2)y = -9(a + 2) - 2(b-9)
(b - 9)x - (a+2)y = -9a - 2b
We can choose any a and b and we'll get the line through (-2,9) and (a,b), so it will have a solution (-2,9) where it meets y = -7x - 5.
We need to make sure (a,b) isn't already on y = -7x - 5 which is the same line twice.
For arbitrary a,b, b ≠ -7a - 5, the lines y = -7x - 5 and
(b - 9)x - (a+2)y = -9a - 2b
meet at exactly one point, namely (-2,9)
Let's generate a few and plot. We'll do a vertical and horizontal an a couple of others.
a=-2, b=0, (b - 9)x - (a+2)y = -9a - 2b
-9x = 18
x = -2
a=0, b=9, (b - 9)x - (a+2)y = -9a - 2b
-2y = -18
y = 9
a=1, b=1, (b - 9)x - (a+2)y = -9a - 2b
-8x - 3y = -11
a=1, b=3, (b - 9)x - (a+2)y = -9a - 2b
-6x - 3y = -15
2x + y = 5
plot y=-7x+5, x = -2, y = 9, -8x - 3y = -11, 2x - y = 5
Help :( I suck at math
Answer:
D
Step-by-step explanation:
For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!
LOOK AT THIS ASAP, it's EASY! GIVING YOU 15 to solve an easy math question. Just order these from the least amount of players to the greatest. PLZ HELP.
Answer:
Bulldogs
Cardinals
Tornado
Step-by-step explanation:
Cardinals: 31 injuries
Tornado: 31 injuries
Bulldogs : 17 injuries
I think I did this right and i counted them twice, but they are the same so it doesn't matter where you put them and if this is wrong then im sorry but i counted them several times. If this is right can I get a brainliest?
You are researching different phone companies. Company one is going to charge you $10 per
line plus a $40 data charge. Company 2 does not have a data charge and will charge you $20 per
line. How many lines would result in the two companies costing the same?
Answer:
4 lines
Step-by-step explanation:
40 + 10x = 20x
40 = 10x
4=x
i think of a number subtract three then multiply by four
Answer:
Step-by-step explanation:
To solve this
We have
Let the number think of b x
Three subtracted from the number will be
x-3
Then multiply by 4
4(x-3)
Open d brackets
4x-12
According to the given statement the expression will be "4x-12".
Let,
The number be "x".When "3" is subtracted from the number "x", we get
→ [tex]x-3[/tex]
and,
When "x-3" is multiply by "4", we get
→ [tex]4(x-3)[/tex]
After solving the brackets, we get
→ [tex]4x-12[/tex]
Thus the answer above is correct.
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Question 1 (1 point)
A recent shipment of 2,500 iPhones at the local Best Buy store needed to be checked for manufacturing defects. The
manager chose 25 at random and found 4 to be defective.
How many iPhones can he expect to be defective?
b
400
7
625
250
Answer: 400
Step-by-step explanation:
25÷4=6.25
2500÷6.25=400
Based on the random sample of 25 iPhones in which 4 were found to be defective, it is projected that approximately 400 iPhones in the total shipment of 2,500 would be defective.
Explanation:The question is essentially asking for a projection based on a statistical sample. In this case, the sample is 25 iPhones, out of which 4 were found to be defective. This implies that, out of every 25 iPhones, we can expect approximately 4 to be defective.
To project this onto the entire shipment of 2,500 iPhones, we can use the proportion found in the sample. Divide the total number of iPhones by the sample size to find the number of 'samples' in the shipment: 2500 ÷ 25 = 100. Then multiply this by the number of defective iPhones found in the sample: 100 x 4 = 400.
So based on the sample, the manager can expect approximately 400 iPhones in the shipment to be defective.
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Determine when the rational expression below is undefined:
(x + 1)(x-2)
(2x-8)
Answer:
When x = 4
Step-by-step explanation:
Division by zero is undefined. With real numbers, you are not allowed to divide by zero. Any value of x that causes the denominator to have a value of zero is not allowed. We need to find out which values of x cause the denominator to equal zero.
To do that, we set the denominator equal to zero and solve for x.
2x - 8 = 0
Add 8 to both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The rational expression is undefined when x = 4
Check:
Let x = 4, and evaluate the denominator of the fraction.
2x - 8 = 2(4) - 8 = 8 - 8 = 0
By letting x = 4 in the denominator, the denominator does evaluate to zero causing an undefined value in the division. Therefore, our answer above is correct.
Find the arithmetic mean An of the given terms. A(n-1)=-8, A(n+1)=-9
[tex]a_n=\frac{a_{n-1}+a_{n+1}}{2} \\a_n=\frac{-8+(-9)}{2} =-8,5[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
Final answer:
The arithmetic mean An between A(n-1) = -8 and A(n+1) = -9 is calculated by taking the average of these two terms, resulting in An = -8.5.
Explanation:
To find the arithmetic mean An between A(n-1) and A(n+1), we use the definition of the arithmetic mean for a sequence of numbers. The mean of two numbers is simply the sum of those numbers divided by two, which can be represented by the formula: mean = (a + b) / 2. Given A(n-1) = -8 and A(n+1) = -9, we can set up the formula as follows:
An = (A(n-1) + A(n+1)) / 2
Substituting the given values results in:
An = (-8 + (-9)) / 2
An = (-17) / 2
An = -8.5
Therefore, the arithmetic mean An of the given terms is -8.5.
Isoke is solving the quadratic equation by completing the square.
10x2+40x-13=0
10x2+40x=13
A(x2+4x)=13
What is the value of A?
-13
4
10
40
Answer:
C. 10Step-by-step explanation:
10 gets carried down.
The value of A in A(x² + 4x) = 13 that gives 10x² + 40x - 13 = 0 is 10.
What is a quadratic function?A quadratic function is in the form:
y = ax² + bx + c
Given that:
10x² + 40x - 13 = 0
Solving using completing the square:
10x² + 40x = 13
10(x² + 4x) = 13
The value of A in A(x² + 4x) = 13 that gives 10x² + 40x - 13 = 0 is 10.
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What is the radius of a cone with a volume of 96(pi) cubic inches and a height of 18 inches?
what is the radius of the cone? _____inches
Answer:r= 2.26 inches
Step-by-step explanation:
Answer: r=4inches
Step-by-step explanation:
Volume of a cone= pir2h/3
Pi= 3.14
R=?
H=18
V=96pi
Substitute for the values
V=pir2h/3
96pi=pir218/3
Pi will cancel pi out
So we have
96=r218/3
Cross multiply
R2=96×3/18
R2=16
R=square root of 16
R=4inches
The radius is 4inches
bring the help!!!!!!!!!!!!!!!!!
Which equation represents the area of one base of a cylinder if the radius is doubled?
A. B= = more
B. B = 3.72
C. B = 27012
D. B = 4772
Please select the best answer from the choices provided
о А
Answer:
[tex]B_2=4\pi r^2[/tex]
Step-by-step explanation:
we know that
The area of the base of a cylinder is given by the formula
[tex]B=\pi r^{2}[/tex]
where
r is the radius of the circular base
If the radius is doubled
then
[tex]r=2r[/tex]
The new base area is
[tex]B_2=\pi (2r)^{2}\\B_2=4\pi r^2[/tex]
so
[tex]B_2=4B[/tex]
therefore
The new area of the base is 4 times the area of the original base
What is the interquartile range of the data :38,55,61,56,46,67,59,75,75,58
Answer:
12
Step-by-step explanation:
Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will land on red is 0.5. The probability that spinnerB will land on red is 0.6. Tim spins spinner A once and he spins spinnerB once. He does this a number of times . The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue.
Answer:
56Step-by-step explanation:
Spinner A
Probability of red = 0.5, Probability of blue = 0.5Spinner B
Probability of red = 0.6, Probability of blue = 0.4Probability of both A and B land on red:
0.5*0.6= 0.3Number of attempts to get outcome of 84 red on both spinners is:
84/0.3= 280Probability of both spinners land on blue:
0.5*0.4= 0.2Estimated number of both spinners land on blue:
280*0.2= 56The estimated number of times that both spinners will land on blue is 56 times. This was calculated based on the number of times both spinners land on red and the probabilities of each spinner landing on blue.
Explanation:This problem deals with the subject of probability. Since we know that the number of times both spinners (A and B) land on red is 84, we can use this as a base to find the probability for each to land on blue.
The probability of spinner A landing on red is 0.5, therefore the probability of it landing on blue will also be 0.5 (1-0.5=0.5). Similarly, the probability of spinner B landing on red is 0.6, thus the probability of it landing on blue is 0.4 (1-0.6=0.4).
To get the overall probability of both spinners landing on blue, we multiply the probabilities for each individual spinner. Hence, the overall probability is 0.5 * 0.4 = 0.2.
Finally, to find the estimated number of times both spinners will land on blue, we can divide the number of times both spinners land on red (84) by the ratio of the probability for both landing on blue to the probability for both landing on red, yielding an estimate of 84 * (0.2 / 0.3) = 56 times.
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Kelly took 15 pictures at school on Tuesday. She took 11 pictures at lunch and 4 pictures at recess. If she randomly selects a picture to put in her locker, what is the probability it is a picture she took at recess?
Answer:
4/15 = 0.266666%
Step-by-step explanation:
To dilute a cleaning product for use, 35 cl of concentrate needs to be added to 4 l of water. Heidi uses 12 l of water to make the cleaning liquid.
How much cleaning liquid has she made, in l
Answer:
13.05 l
Step-by-step explanation:
For 12 liter of water 12/4 times 0.35 l concentrate has to be added.
The total liquid volume is then
12 + 12/4 * 0.35 = 13.05
(1 cl = 0.01 l)
Answer:
3.5l
Step-by-step explanation:
Collins Middle School has 266 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?
Answer:
93 students
Step-by-step explanation:
Answer:
266-----------35%
x----------------100%
x=(266 * 100%) / 35%= 760
There are 760 students in the middle school
Step-by-step explanation:
We solve this problem by the rule of three.
HELP 20POINTS WILLMARKBRAINLIEST!!
What is the volume of the composite figure shown below?
1,008mm.3
2,412mm.3
2,880mm.3
3,465mm.3
Answer:
2412
Step-by-step explanation:12*12*13=1872 15*12*3=540 1872+540=2412
How would you describe the relationship between the real zero(s) and X-intercept(s) of the function f(x) =
3x(x - 1)
Answer:B
Step-by-step explanation:
The x-intercept of the mathematical function f(x) = 3x(x – 1) will be at (0, 0) and (0,1).
What are the roots of the function?The roots of the function are equal to 2 or less than 2.
The mathematical function is given below.
f(x) = 3x(x – 1)
Then the roots of the function will be
3x = 0
x = 0
And x – 1 = 0
x = 1
Then the x-intercept of the function f(x) = 3x(x – 1) will be at (0, 0) and (0,1)
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What is the answer?
9514 1404 393
Answer:
1278 × 4
Step-by-step explanation:
Apparently, a 4-digit number is being multiplied by a 1-digit number. We expect that the partial products are the result of multiplying single digit numbers with different place values.
So, 4000 = 1000 × 4 or 500 × 8
800 = 200 × 4 or 100 × 8
We don't think 8 is the multiplier, because 500 and 100 have digits with the same place value multiplier (100).
Continuing, ...
280 = 70 × 4
32 = 8 × 4
The numbers being multiplied seem to be 1278 × 4.