Answer:
Number of Rides: [tex]5.5R = 16.5[/tex]
Number of Games: [tex]1.5G = 9[/tex]
Step-by-step explanation:
Given
Represent the games with G and the Rides with R
[tex]G = 1.50[/tex] -- cost
[tex]R = 2.50[/tex] --- cost
[tex]Total = 16.50[/tex] -- cost
Required
Represent the system using an equation
The equation can be represented as follows;
[tex]G + R = Total[/tex]
Assume She plays G games and had R rides, we have
[tex]1.5G + 2.5R = 16.5[/tex]
Since she plays twice as much games as rides,
This implies;
[tex]G = 2R[/tex]
So, we have
[tex]1.5 * 2R + 2.5R = 16.5[/tex]
[tex]3R + 2.5R = 16.5[/tex]
[tex]5.5R = 16.5[/tex] --- This equation can be used to solve for Number of Rides
Solving further
[tex]R =16.5/5.5[/tex]
[tex]R =3[/tex]
Substitute 3 for R in [tex]1.5G + 2.5R = 16.5[/tex]
[tex]1.5G + 2.5 * 3 = 16.5[/tex]
[tex]1.5G + 7.5 = 16.5[/tex]
Solve for 1.5G
[tex]1.5G = 16.5 - 7.5[/tex]
[tex]1.5G = 9[/tex] --- This equation can be used to solve for Number of Games
Solving further
[tex]G = 9/1.5[/tex]
[tex]G = 6[/tex]
A rectangle's perimeter and area have the same value. The width of the rectangle is 6 units. What is the length of the rectangle in units?
Answer:
The length ot rectangle is 3 units.
Step-by-step explanation:
The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :
[tex]perimeter = 2l + 2w[/tex]
[tex]area= l \times w[/tex]
[tex]perimeter = area[/tex]
[tex]2l + 2w = lw[/tex]
[tex]let \: w = 6[/tex]
[tex]2l + 2(6) = 6l[/tex]
[tex]2l + 12 = 6l[/tex]
[tex]12 = 6l - 2l[/tex]
[tex]4l = 12[/tex]
[tex]l = 3 \: units[/tex]
What is another way to name plane M?
A) plane BCD
B) plane BFD
C) plane ACE
D) plane ACB
Answer:
Plane BCD
Step-by-step explanation:
Can someone please explain how to do this for me
Answer:
√13
Step-by-step explanation:
There's a formula called the distance formula that is based on the Pythagorean theorem. It is used to find the distance between points in 2 (or more) dimensions.
The distance (d) between points (x1, y1) and (x2, y2) is ...
d = √((x2-x1)^2 +(y2-y1)^2)
___
To find the distance you're looking for, fill in the values in the formula and do the arithmetic.
d = √((6-3)^2 +(5-7)^2) = √(3^2 +(-2)^2)
d = √(9 +4)
d = √13
The distance between the given points is √13.
6. - Laura es piloto comercial. Cada semana realiza cinco viajes de ida y vuelta entre Santiago de Cali y Cartagena. La distancia entre ambas ciudades es de 782 Km. Laura estima que en seis semanas recorre más de 40.000 Km, que es como dar la vuelta al mundo. ¿Tiene razón Laura?
Distance between city , D = 782 km.
Number of trips in a week , n = 5.
Total distance covered in a week , d = D × n = 782 × 5 = 3910 km.
Now, distance covered in six weeks is :
[tex]D'=d\times 6\\\\D'=3910\times 6\ km\\\\D'=23460\ km[/tex]
Therefore, her assumption of travelling 40,000 km in six week is wrong.
Hence, this is the required solution.
At a fundraising dinner, the underside of 200 plates were randomly
tagged with a sticker to indicate winning a cash prize. The frequency table shows the
number of winning plates for each prize. Round to the nearest thousandth, if necessary
What is the relative frequency of winning 5,50,100,1000
6x^2+11x+3..............help
Answer:
hope it helps.........................
Answer:
(3x+1)(2x+3)
Step-by-step explanation:
6x^2+(9+2)x+3
= 6x^2 +9x +2x +3
=3x (2x +3) +1(2x +3)
=(3x +1) (2x +3)
Given B = {a, I, g, e, b, r) and C = {m, y, t, h), find BUC.
Answer: [tex]B \cup C = \{a, l, g, e, b, r, m,y,t,h\}[/tex]
The U symbol between B and C means "set union". A set union is where we throw all the elements of both sets into one big set. Toss out any duplicates that show up. In this case, there are no common elements so there are no duplicates. The order of the items in any set does not matter.
Can somebody help me with this? did i get them all correct?
Answer:
Step-by-step explanation:
YES???
The area of the Pacific Ocean is about 6.0061 x 107 square miles. The area of the Southern Ocean is about 7.8483 x 106 square miles. Approximately how many times larger is the area of the Pacific Ocean than that of the Southern Ocean? A. 8 B. 9 C. 13 D. 20
Answer:
A. 8
Step-by-step explanation:
6.0061 x 10^7
/ = 6/8 x 10^7/10^6
7.8483 x 10^6
0.75 x 10^7-6
0.75 x 10^1
A: 0.75 = 7.5 = 8.
The area of the Pacific Ocean is 8 times larger than the area of the Southern Ocean.
Option A is the correct answer.
What is approximation?It is a result that is not exact, but close enough to be used.
We have,
Area of the Pacific Ocean:
= 6.0061 x [tex]10^{7}[/tex] square miles
Area of the Southern Ocean:
= 7.8483 x [tex]10^{6}[/tex] square miles
The area of the Pacific Ocean is larger than the area of the Southern Ocean by:
Area of the Southern ocean x M = Area of the Pacific Ocean
M = 6.0061 x [tex]10^{7}[/tex] / 7.8483 x [tex]10^{6}[/tex]
M = 7.7
Approximating we get,
M = 8.
Thus the area of the Pacific Ocean is 8 times larger than the area of the Southern Ocean.
Option A is the correct answer.
Learn more about approximation here:
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Which of the following is not to????
Answer:
It's between option 2 or 3, so I think it's option 2
have a great day
Which graph represents the solution set of the compound inequality -4<3x-1 and 2x+418?
4+
-10
5
0
5
10
+
4+
-10
10
++
-10
0
5
10
+
-10
5
0
10
Answer:
The answer is 10.
Step-by-step explanation:
What is the solution to 31–3x + 9 = -18?
What is the slope-intercept equation of the line below?
y-intercept= (0,3)
slope =-6/8
Answer:
6/8X+3
Step-by-step explanation:
Name a pair of alternate interior angles in the picture below.
Answer: B
They are interior angles that are on opposite sides. Therefore they are alternate interior angles
Answer:
E and D
Step-by-step explanation:
if it interior angles, then you are left with the options of c,d,e, and f. if its alternate interior angles, then you have the pairs E-D and C-F
hope this helped! ahsad
6. five more than the number of books, b please help me
Answer:
what's the question
Step-by-step explanation:
5+b or b+5. It can be written either way. Some teachers are strict about how you write it but who cares?
hope it helps!
what is the domain and range of y=6
Answer:
domain -infinity
range(6)
Step-by-step explanation:
If you have a mass of 55g that has a volume of 11 ml, what is the density?
Answer:
D=5g/ml
Step-by-step explanation:
D=M/V
D=55/11
two-thirds of a number decreased by three is five equation form
Answer:
2/3x - 3 = 5
Step-by-step explanation:
Let x be the number
2/3x - 3 = 5
Add 3 to each side
2/3x-3+3 = 5+3
2/3x = 8
Multiply each side by 3/2
3/2*2/3x = 8*3/2
x = 12
1/4 *3/5 im not sure how to do this for dure i need help
Answer: 3/20
Step-by-step explanation:
Multiply the numerators (1*3) and denominators (4*5). The numerators product, 3 goes in the numerators place and denominator product, 20 goes in the denominators place. Therefore, the solution is 3/20.
h(x)=(3x-5)^3
Find f and g so that h(x) = ( f o g)(x). Neither function may be the identity function f (x) = x
Answer:
sup
Step-by-step explanation:
Help this geometry homework and i need help
9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
If you would like to help me out some more, go check out my profile and answer the questions that have 9:45 on Tuesday Questions on them.
God Bless.
Answer: -2x + 5y = 8
Step-by-step explanation:
Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y
Substitute the values of x and y from the given coordinate (6,4) to find the new constant, b, the y-intercept.
-2x + 5y = b
-2(6) + 5(4) = b
-12 + 20 = b
8 = b
Rewrite the original equation substituting the new b for the original -15
-2x + 5y = 8
The graph of part of linear function g is shown on the grid.
Which inequality best represents the domain of the part shown?
a)−3≤x<7
b)−3
c)4≤g(x)<8
d)4
Answer:
can you start a zoom I want to do you know what
Step-by-step explanation:
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00a.m. to 3:00 p.m., she found that she had walked 20,458 steps preparing orders to be shipped. On average, exactly how many steps did she walk each hour? O 3,409.6 steps 3,409 6 steps 4,091.6 steps O 4,091.5 steps
Answer:
3,409.6 steps
Step-by-step explanation:
Given parameters:
Duration of the walk = 9.00am to 3.00pm
Number of steps walked = 20458 steps
Unknown:
Number of steps per hour =?
To solve this;
Number of steps per hour = [tex]\frac{Number of steps}{Duration}[/tex]
Duration = 9 am to 3pm = 6hrs
Now input the parameters:
Number of steps per hour = [tex]\frac{20458}{6}[/tex] = 3,409.6 steps
Total number of steps per hour is 3,409.6 steps/hour.
How can u calculate the scale factor i
f it is not given?
Answer:
where is the question!!!
Step-by-step explanation:
Step-by-step explanation: To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.
I need help please............
ABCD is a parallelogram with diagonal AC. If the measure of angle DCA is 26° and the measure of angle ABC is 113°, what is the measure of angle BCA? Parallelogram ABCD with diagonal AC; the measure of angle ABC is 113 degrees, and the measure of angle DCA is 26 degrees. 26° 41° 52° 67°
Answer:
B. 41
Step-by-step explanation:
took the test and got it correct :)
The required measure of the angle BCA is 41°. Option B is correct.
Given,
ABCD is a parallelogram, where AC is the diagonal.
Angle ABC is 113°, angle DCA is 26°, the measure of angle BCA is to be determined.
A parallelogram is a quadrilateral consisting of pairs of parallel sides.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since angle DCA is 26°, angle CAB is also 26° because of an alternate interior angle of the parallelogram is equal.
So consider a triangle ABC, the sum of the interior angle of a triangle is 180,
∠CAB + ∠ABC + ∠BCA = 180°
26 + 113 + ∠BCA = 180
∠BCA = 180 - 139
∠BCA = 41°
Thus, the required measure of the angle BCA is 41°. Option B is correct.
Learn more about parallelogram here:
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5. Jerry and his family will drive 1,022 miles from Houston to Indianapolis for their summer vacation. They plan to drive between 425 and 475 miles each day. At this rate, which is a reasonable number of days it will take Jerry's family to reach Indianapolis?
Answer: im stuck on this question too but i think it 20 im not too sure but i hope this can help you a little bit
Step-by-step explanation:
Solve for x.
Graph the solution.
4x + 2 < 3x - 3
bradley scores 44 out of 58 in his french test. express this is a percentage
Answer:
75.86 %
Step-by-step explanation:
[tex] \frac{44}{58} \times 100[/tex]
75.86 %
