A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours, and the bicycle traveled 5 1/2 hours. Altogether, the scooter and bicycle traveled no more than 285 miles. Find the maximum speed of each.
Please help someone ASAP!!
Answer:
Bicycle: 30 miles/hour
Scooter: 40 miles/hour
Step-by-step explanation:
Let the speed of the bicycle be s,
Then the speed of the scooter is:
s + 10
Distance = speed × time
Distances covered:
Bicycle: (s)(5½) = 5.5s
Scooter: (s + 10)(3) = 3s + 30
Total:
5.5s + 3s + 30
8.5s + 30
8.5s + 30《285
8.5s《255
s《30
s + 10《40
Each day Donna and Mary toss a coin to see who buys the other person coffee ($2.34 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct, the other buys the coffee; otherwise the caller pays. Assume that an honest coin is used, that Mary tosses the coin, and that Donna calls the outcome. Find Mary's expected payback. Is this a fair game?
Now how much is she expected to pay back?
Answer:
The game is not fare $4.68
Step-by-step explanation:
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When two lines intersect outside a circle to form angle D, the general formula for the measure of angle D is
angle D= 1/2(mx-my). where x and y are intercepted arcs. This formula can be used when two secants form angle D. Describe
two other situations to which this formula can apply.
Answer:
The three situations that the formula can be applied to include two secants intersecting the circle, a secant and a tangent intersecting the circle, and two tangents intersecting the circle. All three types of situations contain two lines intersecting to form an angle, as well as two intercepted arcs.
Step-by-step explanation:
5. A soccer ball is kicked from the ground level with an upward velocity of 60 feet per second. The
equation h(t) = -16t2 + 60t gives the height of the ball after t seconds.
a) What is the height of the ball after 1 second?
Answer:
-16(1)^2+60(1)= -16+60=44
Step-by-step explanation:
Which products result in a difference of square or perfect square trinomial? Plzzz help quick!!
Answer:
perfect square: 2, 5difference of squares: 1, 6Step-by-step explanation:
If the two factors are identical, their product will be a perfect square.
If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.
(a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices
(a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices
Answer:
1, 2, 5 & 6 on ED2020
Box 1 (5X+3)(5X-3)
Box 2 (7X+4)(7X+4)
Box 3 - NO
Box 4 - NO
Box 5 (X-9)(X-9)
Box 6 (-3X-6)(-3X+6)
Step-by-step explanation:
Does 10 + 8 and 4 + 4 + 10 equal the same?
Yes
No
Solve the inequality.
3/4x−2/3≤5/6
and then graphed on a number line
Answer:
x ≤ 2
Step-by-step explanation:
3/4x−2/3≤5/6
Multiply each side by 12 to get rid of the fractions
12(3/4x−2/3)≤5/6*12
9x - 8 ≤ 10
Add 8 to each side
9x -8+8 ≤ 10+8
9x ≤ 18
Divide each side by 9
9x/9 ≤ 18/9
x ≤ 2
Answer:
x ≤ 2
Step-by-step explanation:
¾x - ⅔ ≤ ⅚
¾x ≤ ⅚ + ⅔
¾x ≤ [5 + 2(2)]/6
¾x ≤ 9/6
x ≤ 9/6 × 4/3
x ≤ 2
Number line going towards left from 2 with a closed circle at 2
How many solutions can be found for the system of linear equations represented on the graph?
A)
no solution
B)
one solution
C)
two solutions
D)
infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
The lines are parallel (they have the same slope) but have different y intercepts, so they will never intersect. The solutions are found where the lines intersect, so there are no solutions
find the diameter and radius of a circle with and 18 inch circumference
Step-by-step explanation:
[tex]2 \times \pi \: \times r = 18 \\ \frac{2\pi \: r}{2\pi} = \frac{18}{2\pi} \\ r adius= 2.86in \\ diameter = 5.72in[/tex]
Answer: radius= 2.866
Diameter = 5.732
Step-by-step explanation:
Circumference of a circle is 2pir
Circumference = 2pir
Circumference =18inch
18=2pir
Pi= 3.14
18= 2×3.14×r
R= 18/2×3.14
R= 2.866
R= ~3inches
Diameter = 2radii
Diameter= 2×radius
Diameter = 2×2.866
Diameter = 5.732
Diameter = ~6
The angle of elevation of a ladder leaning against a wall is 70°. The base of the
ladder is 1.4 meters from the base of the wall. Find the length of the ladder to the
nearest tenth of a meter. *
Answer:
Refer to the explanation!
Step-by-step explanation:
We know the the angle where the ladder touches the wall at the top is a 70 degree angle, which must mean that the ladder touching the floor would be a 20 degree angle. This would be OPPOSITE / ADJACENT or TANGENT (TAN).
The TAN(20) = 2.2, when 2.2 is multiplied by the height of the ladder (1.4), you get 3.08 but rounding to the nearest tenth of a meter gives you 3.1m as the length of the ladder.
Answer: 3.1m
The length of the ladder is 4.1 meters.
The ladder and the wall forms a right-angled triangle. The ladder is represented with the hypotenuse of the triangle. The distance of the ladder from the wall is the base of the triangle.
In order to determine the length of the ladder, the acronym SOCAHTOA would be examined. We are to determine the hypotenuse given the adjacent side. So cos would be used.
Cos 70 = adjacent / hypotenuse
cos 70 = 1.4 / h
0.3420 = 1.4/h
h = 1.4 / 0.3420
h = 4.1 meters
A similar question was answered here: https://brainly.com/question/17131959?referrer=searchResults
The area of a square is 81 Square
units. Find the length of a side.
Answer:
9 units
Step-by-step explanation:
To find the length of a side of a square, you need to square root the area
√81 = 9
Final answer:
The length of a side of a square with an area of 81 square units is found by taking the square root of the area, which is 9 units.
Explanation:
To find the length of a side of a square whose area is 81 square units, we use the formula for the area of a square, which is side length squared ([tex]s^2[/tex]). To solve for the side length, we take the square root of the area.
The area in this case is 81 square units, so the side length 's' will be:
√81 = 9 units
Therefore, the length of a side of the square is 9 units.
What shape has 5 vertices and 3 sides
Answer:
a polygon
Step-by-step explanation:
A quadrilateral is a polygon. The shape that has more than 3 sides and less than 5 vertices is a quadrilateral.
What is a quadrilateral?A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The complete question is: What shape has only straight sides more than 3 sides and has fewer than 5 vertices and can be cut into fourths?
Since we need to cut the shape into four equal parts, Also the number of sides should be greater than 3, while the number of vertices should be less than 5. Therefore, the shape that fits these criteria is a quadrilateral. For example, square, rectangle, etc.
Learn more about Quadrilateral:
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Rewrite 100,000 as a power of 10
Answer:
10⁵
Step-by-step explanation:
100000 = 10⁵
I need help with every question I will give brainliest and everything if you do it thannkkkk uuuuu!
Answer: 1. 144
2. a
3. 790.05
4. 1.5
5. lenght width and height 4/5 = 24
Step-by-step explanation:
Find measure of angle 2
Answer:
I am thinking 108 please correct me if I am wrong
Answer: measure angle 2 is 72
Step-by-step explanation: All angles of a triangle add up to 180 so you add 42 and 30 to find measure angle 1 which would be 108 now a horizontal line is 180 is you subtract 108 from 180 and you get 72.
Find the area of a circle with a circumference of 50.24 units
Answer:
A = 200.96 units^2
Step-by-step explanation:
We know the circumference is given by
C = 2 * pi *r
Approximating pi by 3.14
50.24 = 2 * 3.14 *r
50.24 = 6.28 r
Divide each side by 6.28
50.24/ 6.28 = 6.28r/6.28
8 =r
Now we can find the area
A = pi * r^2
A = 3.14 * r^2
A = 3.14 (8)^2
A = 200.96 units^2
Find the greatest common factor of 50, 25, and 100.
Answer:
25
Step-by-step explanation:
Find factors of:
25: 1, 5, 25
50: 1, 2, 5, 10, 25, 50
100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Reduce possibilities to only common factors
25: 1, 5, 25
50: 1, 5, 25
100: 1, 5, 25
The greatest of these factors is 25
Greatest Common Factor (GCF) = 25
Hope this helps :)
Plz help I will give brainliest answer
It is Jada with a mad of 1.5.
Find the circumference of a circle with diameter = 30 ft
Answer: 94.2
Step-by-step explanation: If pie were to equal 3.14 then you would multiply 30 and 3.14 and that would equal your answer
Answer:
94.26
Step-by-step explanation:
General formula for the circmference of a circle=2πr
π=3.142
Diameter is given in the question so to determine the radius
Radius=diameter/2
Radius=30/2
Radius=15
Circumference=2πr
=2×3.142×15
=94.26
So the final answer is 94.26
What is 156% of 820? Round to the nearest hundredth (if necessary).
1279.2
Hoping this helps
If a rectangle that is 13 feet long and 4.3 feet wide is tripled in size, what is the new rectangle’s area?
Final answer:
The new rectangle formed by tripling the size of the original 13 feet by 4.3 feet rectangle has an area of 503.1 square feet, which is nine times larger than the original area.
Explanation:
To understand the scaling of the area of a rectangle when its dimensions are tripled, we need to recognize that the area of a rectangle is calculated by multiplying its length by its width.
The original rectangle has a length of 13 feet and a width of 4.3 feet, thus the area can be found by multiplying these two dimensions: 13 feet × 4.3 feet = 55.9 square feet.
When we triple both the length and width to create a new rectangle, the new dimensions will be 13 feet × 3 = 39 feet (length) and 4.3 feet × 3 = 12.9 feet (width). To find the new area, simply multiply these new dimensions: 39 feet × 12.9 feet = 503.1 square feet.
Therefore, the area of the new rectangle is 503.1 square feet, which is nine times larger than the original area because the area is proportional to the square of the scaling factor (3² = 9).
What kind of angle is 2X?
Answer:
b
Step-by-step explanation:
I need help with number 5 please
Answer: Would be 55% I hope this helps!
Answer:
55% of the actors are between the ages of 10-12.
Step-by-step explanation:
1. Add all of the frequencies
8+22+10=40
2. Divide the certain frequency by the total amount
22/40=0.55
3. Multiply by 100
0.55*100= 55%
Determine the solution by using substitution. Write your answer as a point below (x,y).
Answer:
(2,-2)
Step-by-step explanation:
To solve this using substitution you would take your second equation and plug it in for y of the first equation (4x-10= -3x+4). You then would add the 10 over (4x= -3+14). Next you add the 3x over(7x=14). Finally divide both sides by 7, which should give you x=2. Now all you have to do is plug the two in for x in one of your equations (which ever equation you prefer) (y=-3(2)+4). Solve the equation and you will then have the answer to y, which you can then put into a point.
Answer:
(2,-2)
Step-by-step explanation:
4x-10=-3x+4
+10 +10
4x=-3x+14
+3x . +3x
7x=14
/7 /7
x=2
y=4(2)-10
y=8-10
y=-2
sorry i took so long i was cooking pasta
What is 0.9002 as a percent
Answer:
90% or 90.02%
Step-by-step explanation:
multiply by 100 to get it as a percent
Answer:
[tex]\huge\boxed{0.9002=90.02\%}[/tex]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\to p=p\cdot100\%\\\\0.9002=0.9002\cdot100\%\qquad\text{move the decimal two place to the right}\\\\=90.02\%[/tex]
A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent of what number? E. 39 is 60 percent of what number? F. 78 is 30 percent of what number? Question: Represent each as an equation with x as the unknown number, and solve.
Answer:
18=x*.20
15=x*.25
12=x*.30
24=x*.40
39=x*.60
78=x*.30
Step-by-step explanation:
To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by. For example, 18/.20=x
Answer:
a. 90
b. 60
c. 40
d. 60
e. 65
f. 260
Step-by-step explanation:
a. 18*100= 1800/20=90
b. 15*100= 1500/25= 60
c. 12*100= 1200/30= 40
d. 24*100= 2400/40= 60
e. 39*100= 3900/60=65
f. 78*100= 7800/30= 260
Ifn is an odd integer that is less than -3.25,
what is the greatest possible value of n?
Final answer:
The greatest possible value of an odd integer less than -3.25 is -5.
Explanation:
Odd integers: An odd integer is not divisible by 2 and can be represented as 2n + 1 where n is an integer.
To find the greatest possible value of an odd integer less than -3.25, we need to consider the closest odd integers to -3.25, which are -5 and -3. Since the integer must be less than -3.25, -3 is not an option as it is greater. The next possible odd integer that is less than -3.25 is -5. Therefore, the greatest possible value of n that satisfies the condition is -5.
1. Compare Nya and Salva. Use the double bubble map you created Monday.
Answer:
Step-by-step explanation:
ok so go on google and it should show u
Solve: (3√8x - 2 )= 4
To solve this equation, first
_____both sides.
x =_____
Answer:
Add 2 to each side
x=1/2
Step-by-step explanation:
(3√8x - 2 )= 4
Add 2 to each side
(3√8x - 2 +2= 4+2
3√8x = 6
Divide each side by 3
3/3√8x = 6/3
√8x = 2
Square each side
(√8x)^2 = 2^2
8x = 4
Divide each side by8
8x/8 = 4/8
x = 1/2
Answer:
Cube is the correct answer
Step-by-step explanation:
In the diagram of circle O, mNQM 103 . If the measure of LP is 30 more than the measure of MN , then determine the measure of MN . Show how you arrived at your answer.
Answer:
The measure of arc MN is 88 degrees
Step-by-step explanation:
The complete question in the attached figure
we know that
The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite
so
[tex]m\angle NQM=\frac{1}{2}(arc\ MN+arc\ LP)[/tex]
we have
[tex]m\angle NQM=103^o[/tex]
substitute
[tex]103^o=\frac{1}{2}(arc\ MN+arc\ LP)[/tex]
[tex]206^o=arc\ MN+arc\ LP[/tex] ----> equation A
Remember that
The measure of arc LP is 30 degrees more than the measure of arc MN
so
[tex]arc\ LP=arc\ MN+30^o[/tex] ----> equation B
substitute equation B in equation A
[tex]206^o=arc\ MN+arc\ MN+30^o[/tex]
[tex]2arc\ MN=206^o-30^o\\2arc\ MN=176^o\\arc\ MN=88^o[/tex]
The measure of MN is 88 degrees
Circle geometryFrom the diagram shown, the formula expressed below will be used to determine the measure of MN.
<NMQ = 1/2(arcLP + arcMN)
If the measure of LP is 30 degrees more than the measure of MN, then;
arcLP = 30 + arcMN
<NMQ = 1/2(30 + arcMN + arcMN)
2(103) = 30 + 2arcMN
206 - 30 = 2arcMN
arcMN = 88 degrees
Hence the measure of MN is 88 degrees
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