Answers
hope it helped
Answer:
3 - 5.5 +1.5
Step-by-step explanation:
LEts analyze the given number line
We always start with 0
Arrow goes 3 units to the right, so we put positive 3
from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5
from -2.5 we add 1.5 to reach -1
So the expressio becoems 3 and then subtract 5.5 and then add 1.5
3 - 5.5 +1.5
Related Questions
What is the square root of 112 simplified?
Answers
112 = 2*2*2*2*7
2*2*28" = 16
so sqrt 112 = sqrt16 * sqrt7 = 4 sqrt7 answer
You are timing a kitchen floor that is 10 ft wide and 4 yd long. How many square yards of tile do you need?
Answers
1 yard = 3 ft
10/3 = 3 1/3 yards
3 1/3 x 4 = 13 1/3 square yards
The inequality of the most people that can be seated in the auditorium
Answers
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that [tex]x \ge 0[/tex] which is the same as saying [tex]0 \le x[/tex]
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have [tex]x \le 1200[/tex] indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get [tex]0 \le x \le 1200[/tex]
Note: if you haven't learned about compound inequalities yet, then the teacher may only want [tex]x \le 1200[/tex] as the answer.
Is the remainder supposed to be this big of a number? Did I mess something up?
Answers
Side Note: you also have the correct quotient as well
Please help with this! Thanks!
B: measure of BCD=45; acute
C: measure of BCD=90; right
D: measure of BCD=42; acute
E: measure of BCD=17; acute
Answers
3x-6 = 2x+11
3x = 2x+17
x = 17
3(17)-6 = 45
2(17)+11 = 45
45+45 = 90
answer is C 90 degrees:right
Ken says that 9,138 rounded to the nearest thousand is 9,100
Answers
Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
x – 4 = –1(y – 2)
x – 2 = –1(y – 4)
y – 2 = –1(x – 4)
y – 4 = –1(x – 2)
Answers
y -
y1 = m (x - x1)
where m is the slope and (x1 , y1) is the point given
We are given:
m= -1
the point is (2, 4)
Then:
y - y1 = m (x - x1)y-4 = (-1) (x-2)
y - 4 = -x + 2
y = -x +2 +4
y = -x + 6
Hope that helps you
Can the square root of 2 be written as an infinitely long fraction
Answers
What is 1/12 (12-v)=1/6(v-6)
Answers
So, step one we would have solve from the same value
[tex] \frac{1}{12}(12-v) = \frac{1}{6}(v-6)\\ \frac{1}{12}(12) + \frac{1}{12} (-v) = \frac{1}{6}(v)+ \frac{1}{6} (-6) \\ 1 + \frac{-1}{12}(v) = \frac{1}{6}v + -01 \\ \frac{-1}{12} (v) +1 = \frac{1}{6} - 1 [/tex]
Step two we have to subtract by [tex] \frac{1}{6}v[/tex] on each of your sides (so it can kind of be easier for you to solve)
So,[tex] \frac{1}{6} v + 1 - \frac{1}{6}v = \frac{1}{6}v - 1 \frac{1}{6}v [/tex]
You would have to cancel out the right side because it would give you a(n) answer of 1
Now that we got those steps out of your way, let's subtract 1 to your sides that we're working with
[tex] \frac{-1}{4}(v) +1 -1 \\ = -1 -1 [/tex]
Finally we're close to our answer for [tex]v[/tex]
[tex] \frac{-1}{4}(v)= 2 [/tex]
[tex] \frac{4}{1} ( \frac{-1}{4} )[/tex] cancel this out because it gives you one
But, keep: [tex] \frac{4}{1} (-2)[/tex] because it gives you the answer
[tex]v = 8 [/tex]
Good luck on your assignment
and enjoy your day
~[tex]MeIsKaitlyn:)[/tex]
What value of c makes the statement true? -2x3(cx3 + x2) = -10x6 - 2x5
Answers
c would have to be 5....because -2x^3(5x^3) = -10x^6
Answer: The required value of c that makes the given statement true is 5.
Step-by-step explanation: We are given to find the value of c that makes the following statement TRUE :
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of c, we need to equate the coefficients of the same powers of the unknown variable x.
From equation (i), we have
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5\\\\\Rightarrow -2cx^{3+3}-2x^{3+2}=-10x^6-2x^5\\\\\Rightarrow -2cx^6-2x^5=-10x^6-2x^5.[/tex]
Equating the coefficients of [tex]x^6[/tex] on both sides of the above equation, we get
[tex]-2c=-10\\\\\Rightarrow c=\dfrac{-10}{-2}\\\\\Rightarrow c=5.[/tex]
Thus, the required value of c that makes the given statement true is 5.
find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet
Answers
its height is h
its lateral area = y
y = 2 pi r h
since the cylinder is inscribed in the sphere
So (2r )^2 + h^2 = 64
then 4 (r^2) = 64 - h^2
since y^2 = 4 (pi)^2 r^2 h^2
then y^2 = (pi)^2 *h^2 * (64 -h^2)
y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4
2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3
putting y' = 0
4 (pi)^2 h ( 32 - h^2)=0
ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum
or h = 4 sqrt(2)
testing this value (changing of the sign of y' before and after ) y is maximum
So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32)
y^2 = (pi)^2 * (32)^2
y = 32 (pi) square feet
hope this helps
Toss a fair coin 10 times what is the probability of getting 7 heads
Answers
P(7<= x <=10) = 1 - binomcdf(10,0.5,6) = 0.1719
You have one liter of lemonade concentrate that contains 10% sugar. you pour one fourth of it into a pitcher and you add water to make the final volume one liter, what is the percentage of sugar in the new pitcher?
Answers
Total liquid volume = 1 L
Sugar volume = 10% of 1L = 0.1 L
Finally:
Sugar volume = (1/4) of 0.1 L = 0.025 L
Total liquid volume = 1 L
Percentage of sugar = 100*0.025 = 2.5%
Answer: 2.5%
What is the simplified form of the following expression? (y8)(y2) y10 y6 y16 y64
Answers
The simplified form of the expression (y^8)(y^2) is y^10, found by applying the laws of exponents that dictate adding the exponents when multiplying with the same base.
Explanation:The simplified form of the expression (y8)(y2) can be found using the laws of exponents which state that when multiplying two powers with the same base, you add the exponents. Here, since the base is y, and we have exponents 8 and 2, we add them together:
y8 × y2 = y8+2
This simplifies to y10, which is the compressed form of the given expression.
Final answer:
To simplify the expression (y⁸)(y²), use the rule of exponents which says that you add the exponents when multiplying powers with the same base, resulting in y¹⁰.
Explanation:
The question requires simplifying an algebraic expression with exponents. The given expression is (y⁸)(y²). To simplify this, we use the rule of exponents which states that when multiplying two powers with the same base, you add the exponents. Therefore, y⁸ × y² = y⁸₊²} = y¹⁰
Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 6y − 6z = −6
Answers
x2 + y2 + z2 + 4x − 6y − 6z = −6
(x²+4x) +(y² - 6y) +( z² -6z) = -6
((x² +4x +4) -4 ) + ((y² - 6y +9) - 9 ) + ((z² - 6z+9) -9 ) = - 6
(x+2)² + (y - 3)² + ( z - 3)² = 4²...( standard form )
To put the given equation of a sphere in standard form, complete the square for x, y, and z, and combine constant terms on the right side. The standard form of the sphere's equation is (x + 2)2 + (y - 3)2 + (z - 3)2 = 28, with a center at (-2, 3, 3) and a radius of √28.
Explanation:To write the equation of the sphere in standard form, we will complete the square for the x, y, and z terms in the given equation x2 + y2 + z2 + 4x − 6y − 6z = −6.
First, we organize the variables and separate the constants:
x2 + 4x + y2 - 6y + z2 - 6z = -6
We then complete the square for each variable by adding and subtracting the square of half the coefficient of the linear term:
x2 + 4x + 4 - 4 + y2 - 6y + 9 - 9 + z2 - 6z + 9 - 9 = -6
Now we can rewrite this as:
(x + 2)2 - 4 + (y - 3)2 - 9 + (z - 3)2 - 9 = -6
Combining the constant terms on the right side we get:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 4 + 9 + 9 + 6
Which simplifies to:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
The sphere's center is located at (-2, 3, 3) and has a radius of √28. In standard form, the equation of the sphere is:
(x + 2)2 + (y - 3)2 + (z - 3)2 = 28
Write -38.375 as a mixed number in simplest form.
Answers
-38 is ur whole number, it stays ur whole number.
.375....the last digit (5) is in the thousands place, so put it over 1000
-38 375/1000 which reduces to -38 3/8
Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)
Answers
+4x^8+2x+5
=11x^8+5x+2
please help asap need for test
What is the m∠ABC?
m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75°
Answers
Answer:
60 my vros
Step-by-step explanation:
In march 1989 the exxon valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of alaska. one barrel of petroleum is equal to 42 gal. how many liters of petroleum were spilled?
Answers
240,000 barrels contain a total of:
240,000 barrels * 42 gal per barrel = 240,000*42 gal = 10,080,000 gal of petroleum.
------------------------------------------------------------------------------------------------
now we need to convert gallons to Liters. For this we use the conversion:
1 US liquid gallon = 3.78541 Litre,
-------------------------------------------------------------------------------------------
thus 10,080,000 gal are 10,080,000*3.78541 Litre = 38,156,932.8 Litre
Answer: 38,156,932.8 Litre
jennifer earns $39 for 6 hours of babysitting.how much will she earn for 10 hours
Answers
39/6 = 6.5
$6.50 an hour
multiply this by ten to find the cost for 10 hours
$6.5 x 10 = $65
she will earn $65 in ten hours.
hope this helps! :D
39/6= $6.5 so she get paid $6.50
So just multiply 6.5 by 10 and you would get 65
So she will earn $65 in 10 hours
Josh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?
A.) 8.4 pounds
B.) 9 pounds
C.) 12.75 pounds
D.) 16 pounds
Answers
multiply 12 x 0.75
12 x 0.75 = 9
answer is B. 9 pounds
Answer:
Josh will need 9 pounds Option B.
Step-by-step explanation:
Josh wants to make a set of 12 ceramic cups.
For each cup he will need 0.75 pound of clay
We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.
for 12 cups he will need = 12 × 0.75 = 9 pounds.
Josh will need 9 pounds to make a set of 12 ceramic cups.
What is the solution to the equation 5(x - 3) + 7 = 5x - 8?
A.-8
B.0
C.All real numbers
D.No solution
Answers
Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35. Let x represent Andy's age.
Answers
Final answer:
To represent the relationship between Matt and Andy's ages mathematically, let x be Andy's age, and express Matt's age as 2x + 5. The inequality x + (2x + 5) < 35 simplifies to x < 10, indicating Andy's age must be less than 10.
Explanation:
The question involves creating an inequality to represent the relationship between Matt and Andy's ages, where Matt is five years older than twice Andy's age, and the sum of their ages is less than 35.
Let x represent Andy's age. The formula for Matt's age would be 2x + 5. To find the range of possible values for Andy's age, you would write the inequality x + (2x + 5) < 35.
Solving this inequality involves combining like terms and isolating the variable x.
Step 1: Combine like terms.
x + 2x + 5 < 35
Step 2: Simplify the inequality.
3x + 5 < 35
Step 3: Subtract 5 from both sides to isolate the term with x.
3x < 30
Step 4: Divide both sides by 3 to solve for x.
x < 10
This tells us that Andy's age must be less than 10 for the conditions to be met.
A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has the greater absolute value?Explain
Answers
please round to the nearest tenth if possible.
Answers
[tex]\bf -------------------------------\\\\ \cfrac{2~\underline{lbs}}{\underline{week}}\cdot \cfrac{16~oz}{\underline{lbs}}\cdot \cfrac{\underline{week}}{7~day}\implies \cfrac{2\cdot 16~oz}{7~day}\implies \cfrac{32~oz}{7~day}\approx 4.57\frac{oz}{day}[/tex]
Two complementary angles are expressed as 4x - 16 and 2x 10. find the number of degrees in each angle.
Answers
angle 2 = 2x + 10
4x - 16 + 2x + 10 = 90
combine like terms
6x - 6 = 90
add 6 to both sides
6x = 96
divide both sides by 6
x = 16
angle 1 = 4x - 16 = 4(16) - 16 = 48
angle 2 = 2x + 10 = 2(16) + 10 = 42
Two complementary angles are given as 4x - 16 and 2x + 10. Solving for x we find x = 16. Substituting x into the expressions for the angles, we find the angles to be 48 and 42 degrees.
Explanation:The task here is to find the value of two angles that are complementary. Given the expressions for the angles are 4x - 16 and 2x + 10. As complementary angles, they sum up to 90 degrees. Hence, mathematically, we can express this as (4x - 16) + (2x + 10) = 90.
Solving the equation, combine like terms to get 6x - 6 = 90. Then, add 6 to both sides to get 6x = 96. Divide each side by 6 to find x, hence x = 16.
Substitute x = 16 into 4x - 16, therefore the first angle is 4×16 - 16 = 48 degrees. Similarly, substitute x = 16 into 2x + 10, hence the second angle is 2×16 + 10 = 42 degrees. The angles are thus 48 and 42 degrees, which adds up to 90).
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What is the square root of 120 rounded to the nearest hundredths?
Answers
Answer:
The value of the square root of 120 is 10.95
What is square root ?
Square root of the number is the factor that we can multiply by itself to get that number .
If square of a number is equal to another number than we can write
m = n²
And after taking root to both side
√m = √n²
We can cancel the square with root and
√m = n
We know the prime factor of 120
120 = 2x2x2x3x5
So the square root of 120 will be
√(2x2x2x3x5)= 2 √(2x3x5)
= 2 √(30)
And we know the value of √(30) = 5.477
Root of 120 = 2x5.477
= 10.95
Hence , the square root of 120 is 10.95 .
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A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?
Answers
Answer:
0.45x + 12.50
Step-by-step explanation:
The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is
Answers
The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.
Explanation:The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. The distribution of z-scores for those times can be calculated using the formula:
z = (x - mean)/standard deviation
For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:
z = (45 - 30)/15 = 1
This means that the person's time is one standard deviation above the mean.
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Write and solve an equation to solve the problem. Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
(h + 8) + (__) + 8 = ( __) + 8 + 140
Ian is __ centimeters tall now.
Answers
i) "Lisa is 4 centimeters taller than her friend Ian." means: L=4+I
ii) "Ian is 8 centimeters taller than Jim." means: I=8+J, thus J=I-8
so the heights of Lisa, Ian and Jim are 4+I, I and I-8, respectively.
Since their heights increase by 2 cm, in 4 months, their heights increase 2 cm*4 = 8 cm.
Thus, after 4 months the heights of Lisa, Ian and Jim become:
4+I +8, I+8 and I-8+8 that is I + 12, I+8, I.
In 4 months, "the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. " mean:
(I+8)+I=140+(I+12)
2I+8=152+I
I=152-8=144
This solution made use of writing all the ages in terms of Ians current age.