Answers
--------------------------------------------
Convert 6&1/2 to an improper fraction
6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
--------------------------------------------
Do the same for 9&1/4
9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across
(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8
Or we an say
60*8 = 480
So 60*8+1 = 480+1
which means
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8
Making the final answer to be choice C
Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
Related Questions
What is the standard form of this number 15,000+7000+400+9
Answers
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answers
m=(1-(-5))/(4-1)
m=(1+5)/(3)
m=6/3
Slope=m=2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
Answers
The room has the shape of a rectangle with:
length = 13 units and width = 9 units
The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units
By using the formula for the area of a rectangle, we will see that there are 117 square units on the office.
How many square units are in the office?We know that for a rectangle of width W and length L, the area is given by:
A = W*L
In this case, we have a rectangle of width of 13 units, and length of 9 units, replacing that in the area equation:
A = (13 units)*(9 units) = 117 square units.
So the correct option is the second one, there are 117 square units in the office.
If you want to learn more about area:
https://brainly.com/question/24487155
#SPJ5
12. What percent of 60 is 12? Show your work.
Answers
5 times.
What is 100/5?
20
So, 20%.
You could also just divide 12/60 then get .2 and then realize that it is the same as .20 and that is the same as 20%.
Choose the formula for the volume of a cone V=1/3
Answers
height = 3*Volume / PI * r^2
answer is D
1643 AD minus 582 BC
Answers
Answer:
2,225 years apart
Step-by-step explanation:
Write each rational number as a terminating decimal.
1. 19/20
2. -1/8
3. 17/5
Answers
-1/8= -0.125
17/5= 3.4
HOPE THIS HELPS!
-1/8 as a decimal is -0.125
17/5 as a decimal is 3.4
Express 3x + 4y = 24 in slope-intercept form.
Answers
4y = -3x + 24
4y = -3(x -8)
hope this helps
could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?
Answers
Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week.
Which expression represents the amount of money Thomas has earned after 4 weeks?
Select each correct answer.
4x+10
4x⋅10x
4(x+10)
x+10+x+10+x+10+x+10
Answers
Answer:
option C and D
Step-by-step explanation:
Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week.
we need to find how much Thomas has earned after 4 weeks
in 1 week , x dollars earned
Also $10 allowance each week.
So amount earned in 1 week is [tex]x+10[/tex]
To find the Amount earned in 4 weeks , multiply the expression by 4
amount of money Thomas has earned after 4 weeks is [tex]4(x+10)[/tex]
[tex]4(x+10)=4x+40=x+10+x+10+x+10+x+10[/tex]
option C and D
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
A.) –7
B.) –1
C.) 1
D.) 7
Answers
So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1
Making the answer to be choice B) -1
Rule that maps each preimage
Answers
A function is a rule that maps each preimage to a unique image.
Explanation:A rule that maps each preimage to a unique image is called a function. In mathematics, a function is a relation between a set of inputs (preimages) and a set of outputs (images) in which each input is associated with exactly one output.
For example, consider the function f(x) = 2x, where the input x is a preimage and the output 2x is the corresponding image. If we plug in x = 3, the preimage, we get f(3) = 2(3) = 6, the image.
Functions are commonly represented using algebraic expressions, tables, graphs, or diagrams. They are fundamental to many branches of mathematics and have applications in various fields. The phrase 'rule that maps each preimage' refers to the function or transformation that defines how to manipulate a preimage to obtain an image, either by applying a mathematical formula or by executing a geometric operation.
Calculate the area of the irregular polygon shown below:
45 inches squared
50 inches squared
60 inches squared
85 inches squared
Answers
(12×3) + 3(0.67×7) = 50.07inches²
≈ 50inches²
hope this helps
make it the brainliest if it's correct....
Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
Answers
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
[tex]m= \frac{1-1}{1-0}=0 [/tex]
Vertical line:
Define A( (1,0) and B(1,1).
The slope is
[tex]m= \frac{1-0}{1-1}= \frac{1}{0} [/tex] (undefined)
A piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. Express the total amount of fencing needed as an algebraic expression in x.
Answers
If two or more rectangles have the same dimensions is because they are congruent. In this way, they share two corresponding sides. Our first rectangle has the following sides:
L1 = x
L2 = 3x + 4
Therefore the second and third rectangles need to have the same sides. Therefore, we will have that the sides of the second one is also:
L1 = x
L2 = 3x + 4
and the sides of the third one is also:
L1 = x
L2 = 3x + 4
Therefore, the total amount of fencing needed is:
T = 3(3x + 4) + 4(x)
T = 9x + 12 + 4x
T = 13x + 12
Moreover, we can compute the area of the fence as follows:
A = [(3x + 4) + (3x + 4) + (3x + 4)]x = (3x + 3x + 3x + 4 + 4 + 4)x
A = (9x + 12)x
A = 9x² + 12x
The algebraic expression that expresses the total amount of fencing needed is 11X + 20.
CalculusGiven that a piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions, to express the total amount of fencing needed as an algebraic expression in X, the following calculation must be performed:
3X + 4 = 6 wooden fence blocksEach rectangle has 3 blocks on each side and 6 blocks in front.Number of fronts = 3Number of sides = 4(3X + 4) x 3 + ((3X + 4) x 4) / 2 = Algebraic expression9X + 12 + (4X + 16) / 2 = Algebraic expression9X + 12 + 2X + 8 = Algebraic expression11X + 20 = Algebraic expressionTherefore, the algebraic expression that expresses the total amount of fencing needed is 11X + 20.
Learn more about calculus in https://brainly.com/question/956987
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
Answers
The values of x and y are 4.29 and 90.
Given that ∆ABC and ∆FDE are congruent by a certain criterion, let's denote the corresponding sides as follows:
AB = FD (corresponding side)
BC = DE (corresponding side)
AC = FE (corresponding side)
Let's also denote the angles of ∆ABC and ∆FDE as follows:
∠A = ∠F (corresponding angle)
∠B = ∠D (corresponding angle)
∠C = ∠E (corresponding angle)
Now, if we're given specific values for some sides or angles, we can use that information to find the missing values.
Let's assume we're given that AB = 5 cm, BC = 7 cm, AC = 6 cm, ∠A = 40°, and ∠B = 50°.
First, let's find the missing side FD using the side-length proportion:
[tex]\[ \frac{AB}{FD} = \frac{BC}{DE} = \frac{AC}{FE} \][/tex]
Substitute the given values:
[tex]\[ \frac{5}{FD} = \frac{7}{DE} = \frac{6}{FE} \][/tex]
We can solve for FD by setting up the proportion:
[tex]\[ \frac{5}{FD} = \frac{7}{6} \][/tex]
Cross-multiply to solve for FD:
[tex]\[ 5 \cdot 6 = FD \cdot 7 \][/tex]
[tex]\[ 30 = 7FD \][/tex]
[tex]\[ FD = \frac{30}{7} \][/tex]
[tex]\[ FD \approx 4.29 \text{ cm} \][/tex]
Next, we can find the missing angle measures. Since ∠A = ∠F = 40° and ∠B = ∠D = 50°, we can find ∠C = ∠E using the fact that the sum of angles in a triangle is 180°:
[tex]\[ ∠C = 180° - ∠A - ∠B \][/tex]
[tex]\[ ∠C = 180° - 40° - 50° \][/tex]
[tex]\[ ∠C = 90° \][/tex]
So, we have found that FD ≈ 4.29 cm and ∠C = 90°. Thus, the values of x and y are 4.29 and 90, respectively.
Complete question
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
help ma please
What are the steps for using a compass and straightedge to construct a line through point A that is parallel to line j?
A horizontal line j and a point A are drawn. The point A is below the horizontal line j.
Drag the steps and drop them in order from start to finish.
Place the point of the compass on point Q and open it to width QR .
Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P.
Use the straightedge to draw AB←→.
Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S.
With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.
Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.
Answers
Answer:
Step 1: Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P. This is because you must have a point of intersection with the line before you can move forward.
Step 2: Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R. This will give us a compass width to move forward.
Step 3: Place the point of the compass on point Q and open it to width QR.
Step 4: Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S. This gives us the point to use to construct the second point of our parallel line.
Step 5: With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B. This is the second point of our parallel line.
Step 6: Use the straightedge to draw AB←→.
The steps are shown below:
What is line segment?A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.
Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P. Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R. Place the point of the compass on point Q and open it to width QR. Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S. With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B. Use the straightedge to draw AB←→.Learn more about line segment here:
https://brainly.com/question/25727583
#SPJ4
Tommy stands on a diving board that is 4 fee above the pools surface. He dives and touches the bottom of the pool, which is 12 feet below the pools surface. What is the total length of Tommy’s dive?
Answers
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
Answers
The intersection of two planes that do not coincide is a line.
The sum of four consecutive even integers is 180. what is the smallest integer?
Answers
second smallest #=×+2
third largest #=x+4
largest #=x+6
x+x+2+x+4+x+6=180
4x+12=180
4x=168
x=42
The smallest consecutive even integer would be 42.
Hope this helps!
What is 1075 factorial?
Answers
The factorial for 1075 is 649170620947805965756181733853862766455936127123918
807712245858191276550122436114706907785650237672358
480665798150737326254833804044966904316364863799359
333509568656200320604304894490975851012341204277349
671717856400491535090999627345408862961463095193792
659442675662401036359786079692576372993285881061407
100256506375336837698619726028681619693360479516345
190520550167051285877518855565899743524691151265998
596383315465034347156928619440843419349040545524508
400269984268718112169915640032572282889506217211503
698613027369593394166830246674417974195131243109869
510141339045230051584617757159128349527978556053086
026741646332097639855705716298298802387485262129319
823525962313344641201264850533198685389953891670596
610557278979974160378225431420159843591274573930701
288242432165717820145044751852939668443255400658353
814157343150965876260604672525915200288017511549949
220066284266316825409123166468250446657397961216972
187664807755439473630203058025128133095409396038493
257554825234924975483819936807237189821074371844470
100659894347015162643422771112227048004615114353233
855164495017617868954021318802679138002361191888796
791839208097448605324774878489011540031552417537083
724966522652964272832061009341458785587462994523712
070128670067385039133115753147125413182557040894845
550255159127469071779967278956344942754464135110693
616279389111177990723608389298825906753998030281562
949829096585511967629327887256019632407808057339386
549899181037189702426157823642285809845458734788047
082867446886800508448378131549919573064264621173806
374078484780999696324706184053808361971691337417902
343650305777924221617478395167541467702799772081200
684234608616962117854424607190127499615259723014702
094602433348750810869841384000916126779885997913509
632623242228469514247697074590619480810975238686030
148351777093572375032439260098662831169038855725450
086398802493621980412901011839380291190355033299766
957665577611545617139087650981658344852826084312778
454957072221112300979579550808517940233396456459435
574953912878043395029041437109605828770464294640382
168121059581771749672506354878786108183891046758112
932040372532343670000326693333588461791634539855015
815582031029357538676161678718718581588654831589676
609485546011574426875354726467355737534763492979312
146833383177690328113967487522603050172595322859219
806147322227574587721313600716226182125479622969450
792451774088751647040049861943826873550488773828629
197554449535709876961216348832613360122954093117019
983137321749675441340038729566327219354566821138145
311334365648819166647209164800000000000000000000000
000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000
- your brother, zijwan
a. Find the value of a. b. Find the value of the marked angles.
A)14; 94°
B)16; 106°
C)19; 124°
D)15; 100°
Answers
Answer:
D)15; 100°.
Step-by-step explanation:
Given : Verticle opposite angles (6a + 10) and (3a + 55).
To find : Find the value of a. b. Find the value of the marked angles.
Solution : We have given (6a + 10) and (3a + 55).
Verticle opposite angles are equal
Then
6a + 10 = 3a + 55
On subtracting both sides by 3a
6a - 3a + 10 = 55
3a + 10 = 55
On subtracting by 10 both sides.
3a = 55 -10.
3a = 45.
On dividing the 3 by both sides
a = 15°.
Then ,
6 (15) + 10.
90 + 10 = 100
b =100°.
Therefore, D)15; 100°.
The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?
Answers
250-150=100
100/1.25=80
g is greater than or equal to 80
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
undefined
Answers
Formula for slope: y2 - y1 / x2 - x1
Plug in the values.
-2 - 5/ 3-(-3) = -7/6 = slope
Slope = -7/6
Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6
I NEED HELP I'M SOO LOST I'LL GIVE A BRAINLIEST TO THE BEST ANSWER
Contrast the tone of the following two passages. (First, determine the tone of each passage. Then determine how the tones differ. What is the tone of each? How do you know? How do the tones differ?)
Tone ONE
Envisioning paths where Russell’s discovery could lead him, Rosalind and I began grooming him for interviews with the local news and math journals. In our minds, Russell’s future was bright and without limitation, starting with a full scholarship to MIT or Northwestern.
Tone 2
I came home for brief visits, but these visits were too awkward without Rosalind. The house was profoundly still. Mommy stayed in her room. Russell didn’t talk, let alone look at me.
Answers
The first passage has a hopeful and ambitious tone, using optimistic language to express excitement for the future. The second passage has a melancholic and isolated tone, using somber phrases to convey discomfort and disconnection. These contrasting tones reflect a range of emotions in the narrative.
Explanation:To contrast the tone of two passages, we must first identify the attitude or mood present in each. In Tone ONE, the writer’s use of optimistic phrases such as "Envisioning paths," "grooming him for interviews," and "future was bright" convey a hopeful and ambitious tone. This tone suggests excitement for the future possibilities and success that lie ahead for Russell.
In contrast, Tone 2 uses phrases like "too awkward," "profoundly still," and "didn’t talk" which reveal a somber, isolated and possibly melancholic tone. It reflects the author’s feelings of discomfort, silence, and the lack of communication and connection with the family.
The two tones differ significantly, with the first being uplifted and forward-looking, while the second expresses a sense of disconnection and sadness, giving us a comprehensive view of the contrasting emotional landscapes in the same narrative context.
Solve for y 3y-9=6 show work
Answers
add 9 to both sides
3y=15
Divdide both sides by 3
y=5 is the answer
Judy has started walking briskly everyday. if, as a result, she burned 350 calories more per day than she consumes, how many days will it take her to lose 10 pounds
Answers
350x10=3,500
it will take Judy 100 days to lose 10 pounds.
10 * 10 = 100
It will take Judy 100 days to lose 10 lbs
I need number 28 please
Answers
3ax + 2b / c = 4d solve for x
Answers
Final answer:
To solve the equation 3ax + 2b / c = 4d for x, isolate x on one side of the equation by multiplying both sides by c, subtracting 2b, and dividing by 3a.
Explanation:
To solve the equation 3ax + 2b / c = 4d for x, we need to isolate x on one side of the equation. Here are the steps:
Multiply both sides of the equation by c to get rid of the denominator: 3ax + 2b = 4cd.Subtract 2b from both sides of the equation: 3ax = 4cd - 2b.Divide both sides of the equation by 3a to solve for x: x = (4cd - 2b) / (3a).Therefore, the solution for x is x = (4cd - 2b) / (3a).
BRAINLIESTTTT!!!
1. The price of silver has increased by 15% per year from 2000. In the year 2000, Harry bought a silver bowl for $190. Which of the following functions f(x) can be used to represent the price of the bowl x years after 2000?
f(x) = 190(0.85)^x
f(x) = 190(1.15)^x
f(x) = 15(190)^x
f(x) = 15(0.85)^x
2. Which of the following is equal to the square root of the cube root of 2?
2 to the power of 2 over 3
2 to the power of 3 over 2
2 to the power of 1 over 3
2 to the power of 1 over 6
Answers
2. The answer is D) 2 to the power of 1 over 6
Answer:
Question 1 is B and Question 2 is D