The volume of the cube below is 1/8 cm2.
х
х
X
What is the value of x?
OA) x=
OB) x = 1
OC) x=
OD) x = 8
Answers
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Answer:
C) x = 1/2 cm
Step-by-step explanation:
Apparently, we're to assume the units of x are centimeters. The volume of the cube is the product of its dimensions:
V = x³ = 1/8
Then the value of x is ...
x = ∛(1/8) = 1/∛8
x = 1/2
_____
Additional comment
It can be useful to memorize the squares and cubes of small integers. The cubes you see most often are ...
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343
Related Questions
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per month is $2,100. Her deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$294
State Income Tax
$89
Social Security
$85
Medicare
$35
What is her new monthly net pay? Round your answer to the nearest dollar.
$1555
$1591
$1595
$1639
Mark this and return
Answers
Answer:
The monthly net pay is [tex]\$1555[/tex].
Step-by-step explanation:
Step 1 :
Quintina decided to increase the deduction percentage of her federal income tax rate from [tex]14\%[/tex] to [tex]16\%.[/tex]
Quintina gross pay per month is [tex]\$2,100[/tex]
[tex]16\%[/tex] is written in the decimal form.
[tex]=\frac{16}{100}[/tex]
[tex]=0.16[/tex]
Federal income tax
[tex]=0.16[/tex] × Gross pay
[tex]=0.156[/tex] × [tex]2100[/tex]
[tex]=336[/tex]
Step 2:
Monthly net pay = Gross pay- Federal income tax - State Income Tax – social Security- Medicare.
[tex]=2100-336-89-85-35[/tex]
[tex]=2100-545[/tex]
[tex]=\$1555[/tex]
Therefore, the monthly net pay is [tex]\$1555.[/tex]
Learn more about income tax, refer:
https://brainly.com/question/1601662Answer$1555
Step-by-step explanation:
There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answers
Answer:
126 cats .................
126 dogs........
c(ge + p) = n +j
Solve for c: C=
Answers
Answer:
[tex]c(ge + p) = n + j \\ \\ \frac{c(ge + p)}{(ge + p)} = \frac{n + j}{(ge + p)} \\ \\ { \boxed{ \boxed{c = \frac{n + j}{ge + p} }}}[/tex]
Could you help please i really dont get it
Answers
Answer:
[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]
Answer:
1.65
Step-by-step explanation:
5.61/3.4=1.65
PLEASE HELP MARKING BRAINLIEST
Answers
5 + (-8) - (-10)
please help
Answers
Answer:
-7
Step-by-step explanation:
5 + (-8) - (-10)
5 - 8 + 10
-3 + 10
7
Answer:
7
Step-by-step explanation:
TUrns into 5-8-(-10)
5-8+10
PEMDAS the answer and youll get 7
Help will give Brainly points
Answers
Answer:
¿Qué significa esto porque no entiendo?
Step-by-step explanation:
Explain why a set of points that defines a plane cannot be collinear
Answers
Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
Find the Least Common Multiple (LCM) of 50 and 90
Answers
Answer:
450
(I can't post the answer if it's less than 20 letters so just ignore this I'm trying to fill up)
If U.S. $1 = 7.82 Hong Kong dollars, what is the value of 25 Hong Kong dollars in U.S. dollars?
Answers
Answer:
3.25
Step-by-step explanation:
1 hong kong dollar = 0.13 cents in us dollars
0.13x25=3.25
The value of 25 Hong Kong dollars in U.S dollar is $3.1969
Given that :
$1 = 7.82 Hong Kong dollars
Let the equivalent Number of U.S dollars = p
This means that :
$1 = 7.82 Hong Kong dollars
$1 = 7.82 Hong Kong dollars $p = 25
Cross multiply :
25 × 1 = 7.82 × p
25 = 7.82p
Divide both sides by 7.82
25 / 7.82 = p
p = $3.1969
Hence, 25 Hong Kong dollars is 3.1969 U.S dollars.
Learn more : https://brainly.com/question/18109354
WILL GIVE BRAINLEST
Slove f(9) if f(x)= -6x - 1
Show Step-by-Step pls.
Answers
Answer:
Use the given functions to set up and simplify −by−Step.
f(9)=−55
Re-order terms so constants are on the left
⋅9=−55
f⋅9=−55
9=−55
Divide both sides of the equation by the same term
Simplify
Solution
=−55/9
Two produce stores sell watermelons by the pound.
At Jack's store, he uses the equation y = 0.39x to calculate the cost of a watermelon that
weighs x pounds
At Molly's store, she charges $4.20 for a 12-pound watermelon and $5.25 for a 15-pound
watermelon.
If a watermelon weighs 20 pounds, at which store will the watermelon cost less, and by how
much?
.
A. Jack's store is less expensive by $0.80.
B. Jack's store is less expensive by $0.04.
C. Molly's store is less expensive by $0.80.
D. Molly's store is less expensive by $0.04.
Answers
Step-by-step explanation:
have a nice day sir...................
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answers
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
Please help me with this problem
Answers
Answer:
18e90w002
919293939
jwiwoqo1919
2kw29w9w9ww9
91022929292929 91901
19190193939
19292920202
We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answers
Answer:
[tex]? \times \frac{?}{?} [/tex]
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]
Since L must be positive then L =2 and W = 2 + 23 = 25.
Loretta earns $10 a week
and puts $7.50 a week
into savings account and spends
the rest. How much does she
spend in six weeks?
Answers
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
Answers
$81.53 is the cost of nut-raisin mix
Given: SQ and TQ trident angle PQR
measure of angle PQT = 7x+6
measure of angle TQS = -2x +8y-13
measure of angle RQS = 5x +2y
find measure of angle PQR
Answers
Answer:
[tex]10x+10y-7[/tex]
Step-by-step explanation:
We just need to add up all of the angles, PQT, TQS, and RQS to find the measure of angle PQR.
[tex]PQT=7x+6\\TQS=-2x+8y-13\\RQS=5x+2y\\PQT+TQS+RQS=PQR\\7x+6+TQS+RQS=PQR\\7x+6+(-2x+8y-13)+RQS=PQR\\7x+6+(-2x+8y-13)+5x+2y=PQR\\7x+6-2x+8y-13+5x+2y=PQR\\7x-2x+5x+8y+2y+6-13=PQR\\5x+5x+8y+2y+6-13=PQR\\10x+8y+2y+6-13=PQR\\10x+10y+6-13=PQR\\10x+10y-7=PQR[/tex]
9514 1404 393
Answer:
123°
Step-by-step explanation:
Each of the parts of the trisected angle is equal to the others.
∠PQT = ∠TQS
7x +6 = -2x +8y -13
9x -8y +19 = 0 . . . . . . subtract the right-side expression
∠TQS = ∠RQS
-2x +8y -13 = 5x +2y
7x -6y +13 = 0 . . . . . . subtract the left-side expression
__
These equations can be solved by any of your favorite methods to give ...
(x, y) = (5, 8)
Then the angle measures are ...
∠PQT = 7x +6 = 7(5) +6 = 41
∠TQS = -2x +8y -13 = -2(5) +8(8) -13 = 64 -23 = 41
∠RQS = 5x +2y = 5(5) +2(8) = 41
The measure of angle PQR is 3·41° = 123°.
_____
Additional comment
Using Cramer's rule, the solution is ...
x = (-8(13) -(-6)(19))/(9(-6) -7(-8)) = 10/2 = 5
y = (19(7) -13(9))/2 = 16/2 = 8
I prefer a method like this, or the graphical solution, when the numbers don't lend themselves to substitution or elimination.
__
Obviously, once we have found angle PQT, we can simply multiply it by 3 to find angle PQR. We chose to compute the values of the other angles as a check on our math.
What is the least common denominator for the fractions 1/2 and 3/8
Answers
Answer:
LCD = 8
Step-by-step explanation:
All you have to do is times both the denominator and numerator of 1/2 by 4.
So 1 times 4 = 4 and 2 times 4 is 8.
4/8 and 3/8
Express 350 as a product of its product factors
Answers
Answer:
70
Step-by-step explanation:
The prime factors of 350 are 2,5,7. Therefore, the product of prime factors = 2×5×7=70
(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?
I would love the help.
Answers
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Answer:
5 steps forward5 steps backwardStep-by-step explanation:
In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.
Half of the 10 steps were forward, and the other half were backward.
5 steps forward; 5 steps backward.
_____
Additional comment
Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.
72. Evaluate 5a + 3a2 when a = - 3
Answers
[tex]5a + 3 {a}^{2} \\ = 5( - 3) + 3( { - 3}^{2} ) \\ = - 15 + 3(9) \\ = - 15 + 27 \\ = 12[/tex]
I hope I helped you^_^
Answer:
12
Step-by-step explanation:
5a + 3a^2 when a = -3
~Substitute
5(-3) + 3(-3)^2
~Simplify
-15 + 3(9)
-15 + 27
12
Best of Luck!
Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs.
If he photographs 2 houses, he earns $315, and if he photographs 7 houses, he earns $1015.
a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the the number of houses he photographs (x), and put
the model in slope-intercept form.
Answers
Equation of a linear function is defined by equation y = mx + b,
where m = slope of the line and b = y-intercept
Linear model representing a function for the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Let the linear equation representing the earnings to photograph the houses,
y = mx + b
If we graph a line with two variables, earnings from photography on y-axis and the number of houses at x-axis,
Slope of the line 'm' = [tex]\frac{\triangle y}{\triangle x}[/tex]
If two points lying on the line are (2, 315) and (7, 1015).
Slope of the line 'm' = [tex]\frac{1015-315}{7-2}[/tex]
= [tex]\frac{700}{5}[/tex]
= 140
Therefore, equation of the line will be,
y = 140x + b
Since, (2, 315) lies on the line,
315 = 140(2) + b
315 = 280 + b
b = 35
Now the equation will be,
y = 140x + 35
Therefore, linear model representing a function of the earning (y) to photograph the houses (x) will be,
y = 140x + 35
Learn more,
https://brainly.com/question/1179072
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answers
Answer:
46666
Step-by-step explanation:
Find the area of this figure. round your answer to the nearest hundredth.
Answers
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
-.0666
Rational or
Irrational?
WHY
Answers
Answer:
It's irrational
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on FOREVER.
An example is
1. π
2.[tex]\sqrt{2}[/tex]
....
Surds are irrational. A surd is a square root of a number that goes on forever.
Some irrational numbers have recurring digits (repeating digits)
10/3 is an example:
3. 333333333333333333333333333333333333333333............
solve for x. y = 1/3 (x + w)
Answers
3 • y = 3 • 1/3(x+w)
3y = x + w
Step 2: get the x by itself by subtracting away the w
3y - w = x + w - w
3y - w = x
You’ve got your answer.
The ratio of qualified teachers to unqualified teachers is 1;2. Use the given ratio and determine how many qualified teachers there are if there are 540 unqualified teachers. show your calculations
Answers
Answer:
270
Step-by-step explanation:
by using the proportion rule:
let X be the number of qualified teachers then
1:2=X=540 i.e.
1/2 = X/540
by cross multiplication,
540x1=2xX
540=2X i.e.
X=540/2
X=270
There are 270 qualified teachers.
To solve this, we would apply the knowledge of proportion.
It is simply a way of stating that two ratios are of equal measure.
For example, [tex]a:b = x:y[/tex] or [tex]\frac{a}{b} = \frac{x}{y}[/tex]
Applying the following proportion rule given that:
Ratio of qualified teachers to unqualified teachers is 1:2.
Number of unqualified teachers = 540
Let number of qualified teachers be represented by x.
Therefore:
[tex]\frac{1}{2} = \frac{x}{540}[/tex]
Cross multiply
[tex]2x = 540(1)[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{540}{2} \\x = 270[/tex]
Therefore, the number of qualified teachers is 270.
Learn more about ratio here:
https://brainly.com/question/21768124
PLS Help I Need this by today :)
Simplify the expression -11 -(-12)
Answers
Answer:
1
Step-by-step explanation:
-11-(-12) is just -11 plus 12 so 1 is your final answer because 2 negatives make a positive when multiplying.
Answer:
1
Step-by-step explanation:
How to solve -3/9 + ( -2 9/10)
[tex] - 3 \sqrt{8 + ( - 2 \times \frac{9}{10} } [/tex]
Answers
9514 1404 393
Answer:
-3 7/30-7.46994Step-by-step explanation:
We understand this to be two separate problems.
-3/9 +(-2 9/10) = -(3/9 +2 9/10)
= -(10/30 +87/30) = -97/30 = -3 7/30
__
-3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994
__
Additional comment
A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)
