Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex](\frac{5}{8}+ \frac{3}{4} )/(-\frac{2}{3} -\frac{5}{6})[/tex]
8 = 2 × 2 × 2
4 = 2 × 2
LCM = 2 × 2 × 2
LCM = 8
3 = 3 × 1
6 = 2 × 3
LCM = 2 × 3 × 1
LCM = 6
[tex](\frac{5}{8}+ \frac{2(3)}{2(4)} )/(-\frac{2(2)}{2(3)} -\frac{5}{6})[/tex]
[tex](\frac{5}{8}+ \frac{6}{8} )/(-\frac{4}{6} -\frac{5}{6})[/tex]
[tex]\frac{11}{8}/(-\frac{4}{6} -\frac{5}{6})[/tex]
[tex]\frac{11}{8}/-\frac{9}{6}[/tex]
[tex]\frac{11}{8}(-\frac{6}{9})[/tex]
[tex]-\frac{66}{72}[/tex]
66 = 2 × 3 × 11
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3
GCF = 6
[tex]-\frac{66/6}{72/6}[/tex]
[tex]-\frac{11}{12}[/tex]
The area of a rectangular rug is 16 square feet. If the length of the rug measures 6 feet long, what is the width?
Answer:
6ft
Step-by-step explanation:
javahvpaiudbajbd;kjbzcuvbjkabr;kabga
Answer:
2 2/3 ft
Step-by-step explanation:
w = A/l
plug in the values
w = 16/6
solve.
2.6... = 2 2/3
therefore the width of the rug is 2 2/3 ft
Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30
Answer:
10x +30
Step-by-step explanation:
2(3 + 5x) + 24
Distribute
2*3 + 2*5x+24
6+10x+24
Combine like terms
10x +30
Find the volume of the cubes or rectangular prisms in cubic centimeters.
SS
8
125 cm
126cm
ਹੈ।
135cm
rectangular prism with a length,
width and height of 5 cm. 5 cm.
and 5 cm, respectively
cube with a side length of 5 cm
of a
cube with a side length of 5 cm
rectangular prism with a length,
width and height of 5 cm 5 cm.
and 5 cm, respectively
Answer:
ans : it is order wise
a) 6/125 cm³
b) 8/125 cm³
c) 1/125 cm³
d) 36/125 cm³
Step-by-step explanation:
a)
for rectangular prism = length × width × height
= (1/5) × (2/5) × (3/5)
= 6/125 cm³
b)
for cube = length³
= (2/5)³
= 8/125 cm³
c)
for cube = (1/5)³
= 1/125 cm³
d)
for rectangular prism = (3/5) × (4/5) × (3/5)
= 36/125 cm³
Find the solutions to 6x2 - 54x = 0
Answer:
14+28
Step-by-step explanation:
Answer:
6x^{2}-54x=0
6x2−54x=0
Step-by-step explanation:
TEST I - Reading and Writing Numbers. (15 points) (15 minutes)
A. Read these numbers. (1 point per item=5 points) (5 minutes)
1.) 3/4
2.) P 12 131 267. 25
3.) 75%
4.) 1256
5.) 12:26
Answer:
Step-by-step explanation:
1)
Three-Fourth
2)
Twelve Million One Hundred Thirty One Thousand Two Hundred Sixty Seven and Twenty Five Hundredths
3)
Seventy Five Percentage
4)
One Thousand Two Hundred and Fifty Six
5)
Twelve is to Twenty Six
I need the answer plsss
Answer:
6
Step-by-step explanation:
Answer:
[tex]10\\[/tex]
Step-by-step explanation:
[tex]7\frac{1}{2} =\frac{15}{2}[/tex]
[tex]\frac{15}{2}[/tex] ÷ [tex]\frac{3}{4}=[/tex]
[tex]\frac{15}{2} *\frac{4}{3}=[/tex]
you don't have to, but cross simplifying is better to do right now so that the answer you get will be simplified.
[tex]\frac{5}{1} *\frac{2}{1}=[/tex]
[tex]=\frac{10}{1}[/tex]
[tex]=10[/tex]
Hope this helps
Jonathan leans three playing cards against each other to
form a triangle. He uses three more playing cards from the
same deck to form a second triangle. Which statement is
true?
Select one:
The two triangles must be congruent because the
corresponding sides in both triangles are congruent.
The two triangles cannot be congruent because sides cannot
be used to prove congruency.
In order to determine if the two triangles are congruent,
Jonathan must measure all three interior angles.
In order to determine if the two triangles are congruent,
Jonathan must measure one interior angle.
Select the correct answer. Which graph represents the solution to the inequality?
Answer:
A
Step-by-step explanation:
First you simplify both sides to get -2.4x+14.4 > 52.8
then you need to subtract the 14.4 from both sides giving -2.4x> 38.4
then divide both sides by -2.4 giving an answer of
x is less than or equal to -16 meaning you point to the left with a closed circle
3) A bag contains 5 yellow marbles, 2 blue marbles, 3 red
marbles. What is the probability you pull out a yelow marble?
Fraction:
Decimal:
Percent:
Answer:
fraction- 1/2
decimal- .5
percent 50%
Step-by-step explanation:
what is the measure of <B, in degrees.
Answer:
32
Step-by-step explanation:
The base angles of the triangle are the same since the sides are the same
<C = 74
A+B+C = 180 since the sum of the angles of a triangle = 180
74+B+74=180
Combine like terms
148+B =180
B = 180-148
B = 32
Answer:
[tex]\text{A. }32^{\circ}[/tex]
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].
Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:
[tex]\angle A+\angle B+\angle C=180[/tex]
Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:
[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
A graph titled Wrist Circumference versus Height has wrist circumference (centimeters) on the x-axis and height (centimeters) on the y-axis. Points are at (13.8, 151), (14.2, 151), (15.2, 156), (15.6, 159), (16, 162) and (16, 165).
Is the height of these students a function of their wrist circumference?
Answer:
the answer would be D i got a 100 on the quiz
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
No because the wrist circumference of 16 cm is paired with two heights.
—1, 0, 2, 5, 9,
一一一
Es geometric, neither, arithmetic
Answer: Neither since you are adding n, n+1, n+2 etc
Step-by-step explanation:
Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.)
For initial 100 milligrams of a radioactive substance was if decreased by 2% in 8 hours, then half-life of the radioactive substance is 108.3 hours.
Rate of change is the change in one variable due to change in other.
Given the following:
Amount of a radioactive substance initially present=100mg
After 8 hours, mass decreased by 2%
Mass after 8 hours= 100-(2% of 100)
=100-(2*100/100)
=100-2
=98
The rate of decay is proportional to the amount of the substance present at time t.
Mathematically,
Let the amount of radioactive substance is A and at time t,
[tex]\dfrac d{dt}A\ \alpha\ A\\\\[/tex]
[tex]\dfrac d{dt}A= kA\\\\\\dA=kAdt[/tex]
On integrating both sides,
[tex]\int \frac {1}{kA}dA=\int dt\\\\[/tex]
[tex]\dfrac {ln A}{k}=t +ln \ c_1\\ln A =kt+k\ ln \ c_1\\[/tex]
On taking antilogarithm both sides,
[tex]e^{ln A} =e^{kt+k\ ln \ c_1\\A=e^{kt}e^{k\ ln \ c_1}\\A=e^{kt}e^{\ ln \ c_1^k}\\A=e^{kt}c_1^k \\[/tex]
Let, [tex]c_1^k=c[/tex]
[tex]A =e^{kt}c[/tex].................................1
At t=0, A=100
Substituting values in 1
[tex]100= e^0c\\c=100[/tex]
At t= 8, A=98
[tex]98=e^{k8}100\\0.98=e^{8k}\\8k=ln0.98[/tex]
k=-0.0064.
To determine the half time of the decay.
At half time A became A/2=50 mg
Substituting in 1.
[tex]50=e^{-0.0064t}100\\ln 0.5=-0.0064t\\t=\frac{ln 0.5}{-0.0064}\\t=108.3042\\t=108.3[/tex]....................................rounded to one decimal place.
Thus, The half-life of the radioactive substance is 108.3 hr.
Learn more about rate of change, here:
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What is an inscribed polygon is being constructed
Answer:
An inscribed polygon might refer to any
polygon which is inscribed in a shape,
especially: A cyclic polygon, which is
inscribed in a circle
Answer:
A square
Step-by-step explanation:
linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4
Answer:
-x+y+6z=? You did not spcify so I just made it 0
x = -22/5, y = -4/5, z = -3/5
Step-by-step explanation:
Solve the following system:
{-x - 3 y - 2 z = 8 | (equation 1)
-x + y + 6 z = 0 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Subtract equation 1 from equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+4 y + 8 z = -8 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Divide equation 2 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Add equation 1 to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 12 y - 4 z = 12 | (equation 3)
Divide equation 3 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 3 y - z = 3 | (equation 3)
Swap equation 2 with equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+y + 2 z = -2 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+(5 z)/3 = -1 | (equation 3)
Multiply equation 3 by 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+5 z = -3 | (equation 3)
Divide equation 3 by 5:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add equation 3 to equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y+0 z = 12/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Divide equation 2 by -3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 3 × (equation 2) to equation 1:
{-x + 0 y - 2 z = 28/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 2 × (equation 3) to equation 1:
{-x+0 y+0 z = 22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Collect results:
Answer: {x = -22/5, y = -4/5, z = -3/5
What would be the correct answer for this?
First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:
No solutions or D < 0 — When D < 0, the equation does not have real roots.One solution or D = 0 — When D = 0, the equation has one real root. Two solutions or D > 0 — When D > 0, the equation has two real roots.To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.
If a graph intersects x-axis, the equation for that graph has solutions. If a graph doesn't intersect x-axis, the equation doesn't have any real solutions.You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.
For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.
From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.
Answer
The discriminant for function is zero.Let me know if you have any doubts!
Which choice is equivalent to the quotient shown here for acceptable
values of X?
square root 30(x - 1)/square root15(x - 1)^2?
A. sr30(x - 1) - 5(x - 1)?
B. sr6(x - 1)
C. sr 6/(x - 1)
D. sr150(x - 1)^3
Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.
How many more pages does Amanda have left to read?
Multiply.
3,672 × 4
Enter your answer
Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4
Rathan thinks all factors of even numbers are even. Is Rathan correct or incorrect?
Rathan is correct- because every even number is a multiple of 2 and will therefore have 2 as a factor.
I hope this helps!
Answer:
Rathan is correct- because every even number is a multiple of 2 and will therefore have 2 as a factor
Step-by-step explanation:
just took this test and got 100
solving equation using the completing the square (a).3p(p+4)=p(p+2)
Answer:
P = 0, -5
Step-by-step explanation:
Answer:
p = 0
p = - 5
Step-by-step explanation:
3p(p + 4) = p(p + 2)
3p² + 12p - (p² + 2p) = 0
3p² + 12p - p² - 2p = 0
3p² + 10p - p² = 0
2p² + 10p = 0
2p(p + 5) = 0
p = 0
p + 5 = 0
p + 5 - 5 = 0 - 5
p = - 5
what is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt
Answer:
28.26
Step-by-step explanation:
The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.
Solve 2x – 11 = k for x.
Answer:
(k+11)/2
Step-by-step explanation:
2x-11=k
2x=k+11
x=(k+11)/2
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $24 per
hour and adds $6 for his sales bonus. He's decided that he wanted to take one-sixth of his weekly
pay and place it in his savings. Which simplified expression represents the amount that will go into
his savings each week?
Step-by-step explanation:
let n be the number of working hour
so total income is 24n + 6
now 1/6 of the income will be into saving
so the saving is (24n + 6) /6
The expression representing the amount that will go into his savings each week is $4h + $1.
What is Expression?An expression is combination of variables, numbers and operators.
Mike's weekly pay is given by:
Pay = (hourly rate) x (hours worked) + sales bonus
Pay = $24h + $6
To find one-sixth of his weekly pay, we can multiply his pay by 1/6:
Savings = (1/6) x Pay
Savings = (1/6) x ($24h + $6)
Savings = $4h + $1
Therefore, the simplified expression representing the amount that will go into his savings each week is $4h + $1.
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What value of x makes m/n(pls show work)
Answer:
x = 20
Step-by-step explanation:
For the lines to be parallel, the angles have to be equal
2x+15 = 55
Subtract 15 from each side
2x+15-15 = 55-15
2x = 40
2x/2 = 40/2
x = 20
SOMEONE HELP ME PLEASE
Answer:
x=8
Step-by-step explanation:
the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.
An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams
Step-by-step explanation:
a = 510(1 - .263)⁷
a = 60.2341229517
rounded
a = 60.2 grams
Simplify Simplify 1 ∙ x - x/1
A. x
B. 1
C. 0
Answer:
0
Step-by-step explanation:
when the term has a coefficient of, it does not have to be written.
x- X/1
The sum of two opposites equals o
So the solution would be o
Jim records the number of cars his team sells
each month for a year. What percent of the
months does his team sell more than 6 cars?
Quick pld
Answer:
50%
Step-by-step explanation:
There are 12 months in a year.In the problem there are six months the number of cars his team sells more than 40%.=6/12x100%=0.5x100%=50%.Therefore his team sold 50%.
Hope this helped!
