Kevin can cut approximately 2 pieces of 14-inch-long trim from his 3-foot-long trim, with about 0.66667 feet left over.
To find out how many 14-inch-long pieces Kevin can cut from a 3-foot-long trim, we need to convert everything to the same unit. Since Kevin's trim is given in feet, we need to convert inches to feet to make the comparison easier.
[tex]1 foot = 12 inches[/tex]
So, 14 inches is equal to:
[tex]\[14 \text{ inches} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{14}{12} \text{ feet}\][/tex]
[tex]\[= 1.16667 \text{ feet}\][/tex]
Now, we can find out how many 14-inch-long pieces Kevin can cut from the 3-foot-long trim:
[tex]\[ \text{Number of pieces} = \frac{\text{Length of trim}}{\text{Length of each piece}} \][/tex]
[tex]\[ \text{Number of pieces} = \frac{3 \text{ feet}}{1.16667 \text{ feet}} \][/tex]
[tex]\[ \text{Number of pieces} \approx 2.571 \][/tex]
Now, let's find out how much of a foot will be left over:
[tex]\[ \text{Leftover} = \text{Length of trim} - (\text{Number of pieces} \times \text{Length of each piece}) \][/tex]
[tex]\[ \text{Leftover} = 3 \text{ feet} - (2 \times 1.16667 \text{ feet}) \][/tex]
[tex]\[ \text{Leftover} = 3 \text{ feet} - 2.33333 \text{ feet} \][/tex]
[tex]\[ \text{Leftover} \approx 0.66667 \text{ feet} \][/tex]
Complete correct question:
Kevin is making a picture frame. He has a piece of trim that is 3 feet long.
How many 14-inch-long pieces can Kevin cut from the trim?
How much of a foot will he have left over?
Kevin can cut ______ 14-inch-long pieces with ______ of a foot left over.
Emily has 3/4 of an apple pie left over from dinner. After lunch, she ate half of what was left. What fraction of the pie is left?
Answer:
1/4
Step-by-step explanation:
Answer:
This is what I got 0.375
Step-by-step explanation:
But this is in decimal form. Sry
Find the solution or solutions to the equation 36=q²
The solutions for the given equation are the values: -6 and 6.
RootThe exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:
[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex]. See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .
Therefore, in this question for finding the value of q, you should apply the square root in both sides.
[tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]
You can check this result applying the power 2. See:
(-6)²=(-6)*(-6)=36
(6)²= (6)*(6)=36
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Find the sum or difference. Write your answers in scientific notation.
(6.5×10−4)−(1.9×10−5)=
(5.3×109)+(2.8×109)=
Answer:
[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]
Step-by-step explanation:
0.00065 - 0.000019 = 0.000631
Move back 4 decimal places.
5300000000 + 2800000000 = 8100000000
Move forward 9 decimal places.
Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!
Final answer:
To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.
Explanation:
To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.
Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)
First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.
Solution for (5.3×10⁹) + (2.8×10⁹)
Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.
Both answers are now in scientific notation.
What step comes first to solve 18/2 - 5 + 7 - 12
Answer:
You would do 18/2 first.
Step-by-step explanation:
In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.
The probability of rolling a multiple of 3 on a standard number cube is 1/3.
Is that true or false?
Answer:
its true
Step-by-step explanation:
3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3
I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER
Bela runs a 6.2 mile race and a 26.22 mile race during the year.
How many total miles did she run in both races?
Enter your answer in the box.
Answer:
32.42 miles
Step-by-step explanation:
you could have just added
Answer:
32.42 miles
hope this helped
x + y = 7 x + y = 6 What is the solution of the system shown? (6, 12) ( , 14) (10 , 5)
Answer:
no solution
Step-by-step explanation:
x + y = 7
x + y = 6
Multiply the second equation by -1
x + y = 7
-x - y = -6
-----------------------
0x +0y = 1
0 =1
This is never true so there is no solution
Whatttttt doesssss x equallllllll?
Answer: cos30
Step-by-step explanation:
Cos(angle) = adjacent leg/hypotenuse
Cos(x) = 4/21
X = arccos4/21
X = 79.0194 degrees
Round the answer as needed.
(fx)=4x^2-25 answer this question using factoring
Answer:
(2x+5)(2x-5)
x=-5/2, +5/2
Step-by-step explanation:
In ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. Find the length of j, to the nearest 10th of a centimeter.
We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.
We will use law of sines to solve for side j.
[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.
We need to find measure of angle K to apply law of sine to our given problem.
Using angle sum property, we will get:
[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]
[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]
[tex]\angle K=131^{\circ}[/tex]
[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]
[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]
[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]
[tex]j=12.77864423889[/tex]
Upon rounding to nearest tenth, we will get:
[tex]j\approx 12.8[/tex]
Therefore, the length of j is approximately 12.8 cm.
Answer:
12.8
Step-by-step explanation:
delta math
Hi, I need help.
If 4r+7s=23 and r−2s=17 then 3r+3s=
(A) 8 (B) 24 (C) 32 (D) 40 (E) 16
Answer:
B, 24 (second answer choice)
Step-by-step explanation:
4r+7s=23
r-2s=17
8r+14s=46
7r-14s=119
15r=165
r=11
11-2s=17..........by putting value of r in ii
-2s=17-11
2s= -6
s= -3
3r+3s=3*11+3(-3) you get this by putting values of r and s
=33-9
=24 (B)
============================================================
Explanation:
Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s
Do the same for the right hand sides of the two equations 23+17 = 40
After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40
Next, divide both sides by 5 to lead to r+s = 8
Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24
----------------------------
An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...
4(2s+17)+7s = 23
8s+68+7s = 23
15s+68 = 23
15s = 23-68
15s = -45
s = -45/15
s = -3
Which means,
r = 2s+17
r = 2(-3)+17
r = 11
and therefore,
3r+3s = 3(-3)+3(11) = -9+33 = 24
GETS BRAINILIST IF RIGHT PLS ANSWER QUICK 6TH GRADE ADV SCIENCE!!!!!The contractions experienced by women in labor are often very painful. Yet the body's feedback system encourages them to continue. Why?[Contractions] AA woman's feedback system goes haywire when she goes into labor incorrect answer BThough painful, the contractions help women give birth incorrect answer CThe feedback system also releases special hormones to kill the pain incorrect answer DThe baby's feedback system causes the contractions to continue, not the mother's feedback system
Answer:
the correct answer is b.) though painful, the contractions help women give birth
Step-by-step explanation:
The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.
Explanation:The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.
Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.
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please help!!!
find the median, first quartile, third quartile, and interquartile range of the data.
12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73
Answer:
Part 1) 12, 31, 9, 20, 36, 5, 22
Sort the data:
5, 9, 12, 20, 22, 31, 36
Median: 20
First Quartile: 9
Third Quartile: 31
IQR: 31 - 9 = 22
and
Part 2) 63, 68, 58, 77, 50, 49, 63, 73
Sort the data:
49, 50, 58, 63, 63, 68, 73, 77
Median: (63÷63)/2 = 63
First Quartile: (50+58)/2 = 54
Third Quartile: (68+73)/2 = 70.5
IQR: 70.5 - 54 = 16.5
Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?
Answer:
356
Step-by-step explanation:
.55*647=356
Solve for b.
12 = -18 + 6b
Answer:
B=5
Step-by-step explanation:
mark me brainliest please
Answer:
b = 5
Step-by-step explanation:
12 = -18 + 6b
30 = 6b
5 = b
if a quadrilateral is a square then is it a rectangle
Answer:
Yes it is.
Step-by-step explanation:
I did some research, plus we learned about this in Geometry
Plz click the Thanks button!
<Jayla>
Evaluate the expression c=-8 -2c=
Answer: +16
Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.
Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.
A number k is greater than 3
Answer:
k>3.
Step-by-step explanation:
Hello there!
Just graph this on a number line, and you will see that any number above 3 can be equal to k.
:)
What is 800+ 22 rounded to the nearest hundred?
788
800
822
900
Answer:
800
Step-by-step explanation:
because if you round 822 to the nearest hundred you would 800 since its the closest one
Answer:
822 rounded to the nearest hundred is: 800 When rounding to the nearest hundred, like we did with 822 above, We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Step-by-step explanation:
Which shape could be thought of as being created by stacking congruent polygons?
cone
rectangular prism
square pyramid
triangular pyramid
Answer:
its B
Step-by-step explanation:
Final answer:
A rectangular prism can be thought of as being created by stacking congruent polygons, as its faces are identical rectangles or squares. Pyramids, on the other hand, have a consistent base but their side faces are triangles that converge, not congruent polygons. A cone does not consist of stacking polygons since it has a continuous curved surface.
Explanation:
The shape that could be thought of as being created by stacking congruent polygons is the rectangular prism. When you stack identical polygons directly on top of each other, you are essentially creating the sides of a prism. Rectangular prisms are made up of congruent rectangles (or squares if it's a cube). Each face is identical, and they are stacked in a way that the height of the prism adds dimensionality but does not change the consistency of each face being a congruent polygon.
In contrast, when you consider shapes like pyramids, they do not have congruent faces all around. For example, a square pyramid has a square base, but the side faces are triangles that converge at a point. Similarly, a triangular pyramid (also known as a tetrahedron) also does not have congruent faces all around since it consists of equilateral triangles that meet at a point. The cone is a special case where the base is a circle (an infinite number of infinitesimally small sides), and the surface is a continuously curved shape, so it does not consist of stacking congruent polygons.
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
The percentage of error in the question is 75%.
Step-by-step explanation:
To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.
He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.
If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.So the percentage of error in the question is 75%.
I hope this answer helps.
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Answer:
2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
rewrite the product as a sum: 10cos(5x)sin(10x)
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a
sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a
brown, then black sock?
1/36
1/18
V
2/33
Answer:
D
Step-by-step explanation:
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
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what is the answer i am confused pls help
HELP WILL GIVE BRAIN LIST PLZZ HELP ME ASAP!!
What is the volume of the figure above if a = 5 units and b = 8 units?
A.
215 cubic units
B.
825 cubic units
C.
200 cubic units
D.
325 cubic units
Answer:
D. 325 cubic units
Step-by-step explanation:
Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.
Solving for the cube:
5*5*5=
25*5=
125 units³
Solving for the rectangular prism:
5*5*8=
25*8=
200 units³
Now to find the total volume of the figure, we need to add those 2 volumes together:
200+125=325 units³
Our answer is D. 325 cubic units.
Solve X: -3x +32-2x=-2 (5x + 10)
How many solutions does
3x + 3 = 3(x + 1) have ?
1)
[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]
2)
[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]
This equation has an infinite number of solutions
The solution is infinite.
-Dhruva;)
2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the
average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.
Let x represent temperature of the ocean.
We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.
We will use tolerance formula to solve our given problems.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]|x-75|\leq 8.6[/tex]
Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].
Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:
[tex]-8.6\leq x-75\leq 8.6[/tex]
[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]
[tex]66.4\leq x\leq 83.6[/tex]
Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].
Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
First, change 6.5% into a decimal:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Now, plug in the values for Account 1:
[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]
[tex]A=5,687.51[/tex]
Now solve for Account 2:
Change 6% into a decimal:
6% -> [tex]\frac{6}{100}[/tex] -> 0.06
Now plug in the values:
[tex]A=3,000e^{0.06(10)}[/tex]
[tex]A=5,466.36[/tex]
Account 1 yields better money after 10 years.
someone please solve this for me!
Answer:
x = 149
Step-by-step explanation:
The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.
Corresponding angles in this geometry have identical measures:
x° = 149°
x = 149