C is the answer to the question
Compare the speed of the train to the speed of the card. How much less time would it be for Lisa to travel 231 miles using the faster mode of tranportation? Show your work or explain how you determined your answer
Answer:
Faster mode: Car
Less time: 0.93 hour
Step-by-step explanation:
Given
[tex]y = 55x[/tex] --- The equation of travelling by car
See attachment for missing details
Required
Determine by how much less time Lisa will travel 231 miles using the faster mode
First, we calculate the equation of travelling by train.
Start by calculating the slope (m)
[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,90)[/tex]
[tex](x_2,y_2) = (4,180)[/tex]
[tex]m = \frac{180 - 90}{4-2}[/tex]
[tex]m = \frac{90}{2}[/tex]
[tex]m = 45[/tex]
The equation is then calculated using:
[tex]y = m(x - x_3) + y_3[/tex]
Where
[tex](x_3,y_3) = (6,270)[/tex]
[tex]y = 45(x - 6) + 270[/tex]
[tex]y = 45x - 270 + 270[/tex]
[tex]y = 45x[/tex]
So, we have:
[tex]y = 55x[/tex] --- The equation of travelling by car
[tex]y = 45x[/tex] --- The equation of travelling by train
Next, we calculate the speed travelled using both means for 231 miles.
For travelling by car: Substitute 231 for y in [tex]y = 55x[/tex]
[tex]231 = 55 * x[/tex]
[tex]x = \frac{231}{55}[/tex]
[tex]x = 4.20[/tex]
By car, Lisa travels for 4.20 hours
For travelling by train: Substitute 231 for y in [tex]y = 45x[/tex]
[tex]231 = 45 * x[/tex]
[tex]x = \frac{231}{45}[/tex]
[tex]x = 5.13[/tex]
By train, Lisa travels for 5.13 hours
So, the faster mode of transportation is the car:
The less time is:
[tex]5.13 - 4.20 =0.93\ hour[/tex]
The less time spent is 0.93 hour
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
Evaluate : 2X+ 9 when x = -5
А
-10
00
10
C
-1
D
2
E
1
2x + 9
=2(-5) + 9
= -10 +9
= -1
Answer:
That would be C. -1
HELP NOW PLEASE. Solve the system of linear equations by using substitution:
x = 2
y = -x + 3
Answer:
y=1
Step-by-step explanation:
Since we know that [tex]x=2[/tex], we just need to subsititute into the x value. So that will be:
[tex]y=-(2)+3\\y=-2+3\\y=1[/tex]
Hope this helps and answers your question! Have a great day/night!
Which of the following occurs within the solution process for sqrt 3(5x-2)- sqrt 3 (4x) = 0 asquaring both sides once
squaring both sides twice
cubing both sides once
cubing both sides twice
Answer:
C
Step-by-step explanation:
cubing both sides once
Answer:
C is correct
Step-by-step explanation:
Jus did it on EDGE!!!!
EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.
Answer:
no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12
Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.
Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.
HELP PLEASE!!
What is M BCD
Answer:
m(BCD)=180°-m(BCA). In the triangle ABC m(BCA)=m(ABC)=(180-52)/2=64°. Finally, m(BCD)=180-64=116°
Step-by-step explanation:
Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.
Answer:
x=-3,x1/2
Step-by-step explanation:
f(x)=(2x-1)(x+3)
TI find x intercept/zero substitute
f(x)=0
0=(2x-1)x(x+3)
swap the sides of the equation
(2x-1)x(x+3)=0
when the product of factors equals 0,at least one factor is zero
2x-1=0
x+3=0
solve the equation for x
x=1/2
x+3=0
solve the equation of x
x=-3
The equation has two solution
x=-3
x=1/2
NEED HELP ASAP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWERS ONLY!!!!!!
Convert the equation 4x - y = -3 into slope-intercept form
Answer:
y= mx + b
y = 4x +3
Step-by-step explanation:
2.5( 2 + 2) x (2^2 + 2^2)
plz help me i am in six grade
Answer:
~Re-write the equation~
2.5(2+2)x(2^2+2^2)
~Solve the first part~
2.5(2+2)
2.5x2=5
2.5x2=5
5+5
=10
~Solve the second part of the equation~
(2^2+2^2)
2^2=4
2^2=4
4+4=8
10+8=18
Answer: 18
Step-by-step explanation:
Hope that helped :)
Answer:
80
Step-by-step explanation:
2.5(2+2) x (2x2+2x2)
2.5 (4) x (4+4)
2.5x4x8
4x8= 32
32x2.5=80
A group of 2 adults and 4 children pay $95 for admission to a water park. A
different
group
of 3 adults and 7 children pay $155 for admission to the same
water park. write a system of equation that could represent this situation
Answer:
2a + 4c = 95
3a +7c =155
Step-by-step explanation:
2a + 4c = 95
3a +7c =155
If you help, you get cookie
Answer:
97°
It would be 97° because anything higher than 90 is obtuse and it couldnt be 180 because 180 would be a straight angle
hope this helps
I’ll give the Brainliest to who answers this question with a reasonable explanation.
The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?
A) y = 2x + 1
B) y = 3x + 1
C) y = 2x
D) y = 3x
Thank you.
Answer:
D y=2x
Step-by-step explanation:
Using slope formula change in y over change in x
[tex] \frac{2}{1} [/tex]
the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D
PLEASE HELP PLEASEEE!!!!
Given the quadrilateral ABCD with vertices A(1, 1), B(2, 3), C(4, 3) and D(5, 1)
What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin?
Answer:
A (1,1) becomes (-1,1)
B (2,3) becomes (-3,2)
C( 4,3) becomes (-3,4)
D(5,1) becomes (-1,5)
Step-by-step explanation:
By rotation around the origin at the given degree;
Given it is a clockwise rotation;
(x,y) becomes (-y,x)
A (1,1) becomes (-1,1)
B (2,3) becomes (-3,2)
C( 4,3) becomes (-3,4)
D(5,1) becomes (-1,5)
0) Craig buys a ring for $500. He sells it for $750.
Write the selling price as a fraction of the cost
price in its simplest form.
Answer:
The selling price is 3/2 of the original price
Step-by-step explanation:
3/2
Step-by-step explanation:
buying price=$500 and he sells for $750 so you say 750/500 then you simplify then you'll get the answer
ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?
Answer:
1. 200
2. 78
3. 50%
4. 20%
5. 14.52
6. 72
7. 30
8. 27
9. 50%
10. 20%
I hope this helps:D
Mateo started riding his bike to a friend's house at 4:08 P.M and finished riding at 4:22 P.M How long did Mateo ride?
Answer:
14 minutes
Step-by-step explanation:
you subtract 22-8 and you get 14
Answer:
it would be 14 minutes mate
Step-by-step explanation:
gss7svsisb
Which list orders –3.216, 5.34, –3.62, –1.8, and 5.4 from greatest to least?
5.4, 5.34, –1.8, –3.216, –3.62
–3.62, –3.216, –1.8, 5.34, 5.8
–1.8, –3.216, –3.62, 5.34, 5.4
5.34, 5.4, –1.8, –3.62, –3.216
Answer:
A
Step-by-step explanation:
Ur welcome
2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table above.
1. Find his earned income level.
2. Entered the base amount. = $
3. Found the amount over $ = $
4. Multiplied line 3 by % = $
5. Added Lines 2 and 4 = $
Answer:
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
Step-by-step explanation:
PLEASE HELP ME!!!!!!
2j<8, if j=8
Answer:
[tex]\\ \boxed{ \huge \boxed{\tt{} False}}[/tex]
the statement is always false because
[tex]\tt{2j=64\:and\:j=8}[/tex]
⊱┈──────────────────────┈⊰
[tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex]
plz help fast i have to find the surface area of a 3d shape
label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible
Step-by-step explanation:
Points a and b both on line y=3x+7 work out the missing y coordinate for a and the missing x coordinate for b
Answer:
Missing [tex]y[/tex] coordinate for [tex]a[/tex] is [tex]3x+7[/tex]
Missing [tex]x[/tex] coordinate for [tex]b[/tex] is [tex]\frac{b-7}{3}[/tex]
Step-by-step explanation:
Given: Equation of a line is [tex]y=3x+7[/tex]
To find: missing [tex]y[/tex] coordinate for [tex]a[/tex] and the missing [tex]x[/tex] coordinate for [tex]b[/tex]
Solution:
First find missing [tex]y[/tex] coordinate for [tex]a[/tex]
Put [tex]x=a[/tex] in [tex]y=3x+7[/tex]
[tex]y=3(a)+7=3a+7[/tex]
Now find the missing [tex]x[/tex] coordinate for [tex]b[/tex]
Put [tex]y=b[/tex] in [tex]y=3x+7[/tex]
[tex]b=3x+7\\3x=b-7\\\\x=\frac{b-7}{3}[/tex]
Whats the answer to this i can't figure it out can someone help.
Answer:
D!
Step-by-step explanation:
TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!
What is x-35>15? plz help
Answer: x > 50
Step-by-step explanation:
Will GIVE BRAINLIEST
A ganza is a percussion instrument used in samba music.
a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.
Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?
The weight of the larger ganza is about
pounds.
Answer:
1036.2 sq. cm
Step-by-step explanation:
The surface area of the smaller ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10
surface area = 76.93+ 219.8
surface area = 296.73 sq. cm
The surface area of the larger ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5
surface area = 189.97+846.23
surface area = 1036.2 sq. cm
a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]
The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]
b. The weight of the larger ganza is [tex]3.84[/tex] pounds.
Surface area :From given figure,
Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]
height of smaller ganza, [tex]h_{1}=10cm[/tex]
a. The surface area of the smaller ganza is,
[tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]
[tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]
The surface area of the larger ganza
[tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]
[tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]
b. Since, the surface area is proportional to the weight.
and The weight of the smaller ganza is 1.1 pounds.
[tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]
Learn more about the surface area here:
https://brainly.com/question/16997207
cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area
Del Taco sells 4 Tacos for $5.00. Taco Bell sells 5 tacos for $7.50. is a better deal, because it costs less per taco.
Answer:
Tacos costs 12.50
Step-by-step explanation:
Answer:
The taco will cost aproxapilly 12.51 or 12.50
Step-by-step explanation:
A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?
Answer:
Step-by-step explanation:
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I need help finding the area to the trapezoid for geometry class :)
Answer:
313.5 feet cubed
Step-by-step explanation:
A = a+b /2 (h)
14+24/2(16.5)
38/2 (16.5)
= 313.5