Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
Consider the letters of the word STRIVE are written on individual cards are placed in a box.
What is the complement to randomly choosing an R?
Answer:
1/6
Step-by-step explanation:
Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)
Answer: 5/6
The complement of an event is basically the complete opposite.
If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.
The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get
1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6
What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ
Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
segment EF = 6 units
segment EF = 9 units
segment EF = 12 units
segment EF = 16 units
Answer:
Segment EF = 16 units
Step-by-step explanation:
First we will figure out our equation:
Line FD is adjacent to angle a.
Line EF is opposite to angle a
and line ED is the hypotenuse.
Since we will being using Tangent, the hypotenuse is irrelevant.
Tan a° = [tex]\frac{opposite}{adjacent}[/tex]
Now substitute:
[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]
Multiply both sides by 12:
[tex](12)tan\frac{3}{4} =x[/tex]
Solve for tangent by using your calculator:
[tex]tan \frac{3}{4}= 1.333333333[/tex]
[tex](12)1.333333333= 16[/tex]
[tex]16 = x[/tex]
EF = 16 units.
Answer: the one above is correct
Step-by-step explanation:
Took the test!! :)
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
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James has 12.x coconuts. His father asks if he can take 2/3 of all the coconuts. He just received an income of 31 more coconuts. How many coconuts will be eaten?
A. 7.90
B. 69
C. 23
D. 5.98x
Answer:
Option D: 5.98x Coconuts
What is the value of 4x- 7 when x=4?
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?
If the track was a hexagon, how far would Ishmail jog in 6 laps?
Answer:
Ishmail will jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.
Ishmail will jog 9 miles if he completes 6 laps around the track, if the track is hexagon .
Step-by-step explanation:
length of one side of pentagon = 1/4 miles
we know that number of sides of pentagon = 5
thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4
If anyone takes 1 lap of pentagon he will travel 5/4 miles
then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles
thus, in 6 laps 15/2 miles will be traveled.
Ishmail will jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.
_______________________________________
we know that number of sides of hexagon = 6
thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles
If anyone takes 1 lap of hexagon he will travel 3/2 miles
then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles
thus, in 6 laps, 9 miles will be traveled.
Ishmail will jog 9 miles if he completes 6 laps around the track.
Each cube inside the rectangular prism has no edge length of 3/4 inch what is the volume of the rectangular prism
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Answer:
Answer: Volume = 81 cubic inches
Step-by-step explanation:
Given that each cube has length = 3/4 inches
The height H = 3/4 × 8 = 6 inches
Where 8 = number of cubes
The length L = 3/4 × 6 = 4.5 inches
Where 6 = number of cubes
The width W = 3/4 × 4 = 3 inches
Where 3 = number of cubes
The volume V = L × W × H
Substitute all the parameters into the formula
V = 4.5 × 3 × 6 = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches
Step-by-step explanation:
I need help with this question
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
Please hurry!!!
What is the solution of sqrt2x+4=16?
X=6
X=72
X=126
No solution
Answer:
126
Step-by-step explanation:
squaring both sides
([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]
⇒2x+4=256
2x=252
x=252/2=126
Circle X is shown. Points W, Y, and Z are on the circle. Lines are drawn through each point on the circle.
Which point is the center of the circle?
point W
point X
point Y
point Z
Answer:
Its point X
Step-by-step explanation:
Just did it on edge 2020
The point that is the center of the circle is point X
How to determine the center?The circle is given as:
Circle X
A circle is named after its center.
This means that the center of circle X is X
Hence, the point that is the center of the circle is point X
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Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Work out the value of a
Answer:
a=30
Step-by-step explanation:
I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The value of a is 30 degree
hope it helps..
Good luck on your assignment
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3
Answer:
A
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then the graph of f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) has been shifted 4 units left and 3 units down, thus
g(x) = (x + 4)² - 3 → A
if you can do both that will be awesome. tysm
Answer:
8x + 16 = ?, (16+x) x 8
Step-by-step explanation:
plz help me with my question go to my profile and answer the most recent question i asked
Answer:
[tex]A=8(x+16)\\A=8x+128 \text{ units square}[/tex]
plz help ill mark u brainliest
Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
Yasmine earns $54 for dog walking. She walks her neighbors dog 12 times.
Write an equation that represent how to find the amount Yasmine earns per dog walk explain what your variable represents.
How much does Yasmine earn per dog walk.
Answer:
$4.5
Step-by-step explanation:
If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.
54/12
= $4.5 So she earns $4.5 every time she walks her neighbors dog
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answer:
Option C.
Step-by-step explanation:
The given table is
x f(x)
-4 0
-2 2
0 8
2 2
4 0
6 -2
A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.
From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).
Therefore, the correct option is C.
Answer:
it is c (-4,0), (4,0)
Step-by-step explanation:
What are the next three numbers in this pattern?
11, 22, 12, 23,...
A 13, 24, 15
B 13, 24, 14
C 13, 23, 14
D 32, 43, 33
Answer:
B
Step-by-step explanation:
because first it is 11, 12, after it is 13, and 14
: for 22, 23 and after 24
Answer:
B
Step-by-step explanation:
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
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5x=29x what is the value of x
Answer:
x = 0
Step-by-step explanation:
5x=29x
Subtract 5x from each side
5x-5x=29x-5x
0 = 24x
Divide each side by 24
0/24 =24x/24
0 = x
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
y=-6
y = 4
Answer:
x = - 5
Step-by-step explanation:
The line with equation x = - 2 is a vertical line parallel to the y- axis.
A parallel line will also have the equation
x = c
where c is the value opf the x- coordinates the line passes through.
The line passes through (- 5, 4) with x- coordinate - 5, thus
x = - 5 ← equation of parallel line
Four friends hosted a Graduation party: Genesis spent $21 for drinks, Mya spent $25 for food, Alina spent $16 for invitations, and Mylana spent $18 for decorations. The friends want to share the party expenses equally, and Alina will pay the entire amount she owes to one person. Who owes money to whom?
Answer:
Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.
Step-by-step explanation:
As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:
$21+$25+$16+$18= $80/4= $20
As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.
Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.
Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.
Ramona is training to run her first marathon, 26.2 miles. One kilometer is equal to approximately 0.62 miles. About how many kilometers is Ramona planning to run?
0.24 kilometers
16.25 kilometers
26.2 kilometers
42.25 kilometers
Answer:
42.25
Step-by-step explanation:
26.2 miles/ 0.62 miles= 42.25
Answer:
42.25
26.2 miles divided by 0.62 miles= 42.25
Step-by-step explanation:
U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help
Answer:
6
Step-by-step explanation:
60 mins ÷5= 12. 12 x2=24
60 mins ÷6=10. 10x3=30
30-24=6
Can someone help me ASAP with this
Answer:
C
Step-by-step explanation:
Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
Answer:
A
Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.
Answer:
A. 3 red squares to 6 green squares.
Step-by-step explanation:
We have 15 red squares for 30 green squares. The ratio is:
[tex]$\frac{15}{30} $[/tex]
Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides [tex]$\frac{3}{6}$[/tex] , other examples:
[tex]$\frac{1}{2} $[/tex]
[tex]$\frac{5}{10} $[/tex]
PLEASE HELP!!!!By making minimum payments on a credit card, the consumer can A) avoid paying late fees B)pay off the balance quicker C)lessen the total amount owed D)avoid paying compounding interest
the answer is A).
Step-by-step explanation:
..........................
Answer:
I think B. I'm not sure though because i'm only 13 :(
The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?
A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power
Answer:
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
Step-by-step explanation:
In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,
[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]
The ratio is given by the Sun's diameter divided by the Earth's, as shown below:
[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.