on thursday and friday last week miss kelly rode her snowmobile 249 miles. ON friday she rode 35 more miles than she did on thursday. Howmany milesdid she ride each day? Write a system of eqautions for this situation and solve.

Answers

Answer 1

Step-by-step explanation:

x = miles ridden on Thursday

y = miles ridden on Friday

x + y = 249

y = x + 35

we can use the identity of the second equation in the first equation and solve :

x + (x + 35) = 249

2x + 35 = 249

2x = 214

x = 107 miles

y = x + 35 = 107 + 35 = 142 miles

on Thursday she rode 107 miles.

on Friday 142 miles.


Related Questions

Which type of data would be considered qualitative data?

Answers

The type of data which would be considered as the qualitative data is the smell of the plant.

What is qualitative data?

The qualitative data is the data which describes the quality or the characteristics of a thing.

Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.

The options for the problem are listed below.

Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.

Thus, the type of data which would be considered as the qualitative data is the smell of the plant.

Learn more about the qualitative data here

https://brainly.com/question/24492737

Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4

Answers

Answer:

y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is

y = [tex]\frac{4}{3}[/tex] x + c

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1

A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?​

Answers

Answer:

24

Step-by-step explanation:

12 divided by 1/2 = 24

Hope this helped! :)

The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?

Answers

Answer:

x=15 inches

Step-by-step explanation:

Area of ∆ is 27sq inches

Height is 4.5 inches

base is (x-3) inches

Area of ∆= ½×b×h

27= ½×(x-3)×4.5

27=2.25×(x-3)

27=2.25x-6.75

2.25x=27+6.75

2.25x=33.75

x=33.75/2.25

x=15 inches

Help as soon as possible thanks

Answers

6x11=66ft
3x14=42ft

Add the answers together
42+66
= 108 squared feet

The football team played 15 games this season and won three more games than it lost. How many games did the team lose?

Answers

w = won game

l = lost game

w + l = 15

and

w = I + 3

so

l + 3 + l = 15

2l = 12

l = 6

lost = 6

won = 9

Answer:

The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).

Total games divided by total parts is 32/4 = 8.

Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.

Step-by-step explanation:

I AM BEGGING. PLEASE HELP

Answers

Answer:

84cm³

Step-by-step explanation:

Volume of the right triangular prism:

Note: V=l*w*h

L=3cm

W=4cm

H=7cm

Then, multiply.

3*4*7=84

84cm³

Therefore, the correct answer is 84cm³.

I hope this helps you! Let me know if my answer is wrong or not.

What is the area of this rectangle?
11.2 cm
5.1 cm

Answers

Answer :-

Area of Rectangle is 57.12 cm² .

Explanation :-

As per the provided information in the given question, we have been given that the Length of Rectangle is 11.2 cm . Its Breadth is given as 5.1 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed {\sf { \: Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth} [/tex]

[tex] \longmapsto \: \: \: \sf {Area \: of \: Rectangle \: = \: 11.2 \: \times \: 5.1} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Area \: of \: Rectangle \: = \: 57.12 }} [/tex]

Hence :-

Area of Rectangle = 57.12 cm² .

[tex] \underline {\rule {205pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]

[tex] \underline {\rule {205pt} {4pt}} [/tex]

Note :-

Kindly Scroll the Screen from Right to Left for Better View .
Given:length= 11.2 cmwidth= 5.1 cmTo find:

The area of the given rectangle.

Solution:

[tex]a = length \times width[/tex]

[tex]a = 11.2 \times 5.1[/tex]

[tex]a = 57.12 \: {cm}^{2} [/tex]

Therefore, the area of the given rectangle is 57.12 square centimeters.

Only 0.6% of the students at a high school did not attend the first football game. Write 0.6% as a fraction and as a decimal

Answers

Answer:

here my answer

Step-by-step explanation:

hope this helps

A school gym has an area of 4,641 square feet and a perimeter of 284 feet. What are the dimensions of the gym?

Answers

Answer:

dimensions are 51x91

Step-by-step explanation:

Assuming that the gym is rectangular in shape, then...

l*w=4641

and 2l+2w=284

We have two variables and two equations so to solve this we plug one equation into another.

Solve for one variable:

l*w=4641

w=4641/l

Plug into the other equation...

2l+2(4641/l)=284

Solve

l*(2l+9282/l)=284

2l^2+9282=284l

2l^2-284l+9282=0

Factor the trinomial:

2(l−51)(l−91)=0

l−51=0 or l−91=0(Set factors equal to 0)

l=51 or l=91

now, lets plug it into one of the equations to find w

51*w=4641

w=91, l=51

or...

91*w=4641

w=51, l=91

Answer:

91 ft × 51 ft

Step-by-step explanation:

while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).

and it assumes you can find the right factoring of the expression.

so, I will show you here how to generally solve this, even if you cannot find the right factorization :

l×w = 4,641 ft²

w = 4641/l

2l + 2w = 284

2l + 2(4641/l) = 284

2l + 9282/l = 284

2l² + 9282 = 284l

2l² - 284l + 9282 = 0

to make things easier let's divide everything by 2

l² - 142l + 4641 = 0

the general solution to a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = l

a = 1

b = -142

c = 4641

l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =

= (142 ± sqrt(20,164 - 18,564))/2 =

= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20

l1 = 71 + 20 = 91

l2 = 71 - 20 = 51

w1 = 4641/91 = 51

w2 = 4641/51 = 91

so, they are interchangeable (it does not matter which we call length and which width).

the dimensions are 91 ft × 51 ft

Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.

Answers

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

What weighs more 5kg of feathers or 5kg of steel

Answers

Answer:

both weigh the same.

Step-by-step explanation:

you have 5kg of steel and 5kg feathers.

The weight is the same so both weigh the same.

In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?

Answers

Answer:

84.2%

Step-by-step explanation:

420 + 380 = 800

800 / 950 = .842

.842 * 100 = 84.2

84.2 = 84.2%

Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?

Answers

If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)

Solve each equation.

5/6x = 35

A. 42
B. 29.16 (continued)
C. 35 5/6
D. 36

[ Please help me!! :( ]

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

The answer is A.42

Solution:

[tex] \frac{5}{6}x = 35[/tex]

[tex]x=35\times \left(\frac{6}{5}\right) [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{210}{5} [/tex]

[tex]x=42 [/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of a month, Paul made a total of $70 and sold a total of 90 Rackets and Balls combined. Which system of equations represents this situation?

A. 2R + 1.20B = 90, B - R = 160.
B. 1.20R + 2B = 90, R - B = 90
C. 1.20R + 2B = 70, and R + B = 90
D. 1.20B + 2R = 90 and 2B + R = 70

Answers

The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.

What are the system of equations?

The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).

Answers

Answer:

  36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

__

Geometry

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

  A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

  A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

  A = bh = 9×7 = 63

So, the area of the figure is the difference ...

  A = 63 -26.5 = 36.5 . . . square units

__

The other methods of finding the area have been added as attachments.

Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answers

coordinates: (4, 7) and (4, –3)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_2}[/tex]

find slope:

[tex]\rightarrow \sf \dfrac{-3-7}{4-4}[/tex]

undefined

Here the slope is undefined

equation : x = 4

The line is a vertical line meaning no y-intercept.

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.

Table B: Frequency of Foreign-Language Studies by Row

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language

Answers

Answer:

B: Frequency of Foreign-Language Studies by Row

I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

7 in.3 hope it helps

can someone help me plsea and i mean if its right what i wrote?

Answers

Answer:

Area = 201.1

Cicumference = 50.27

Your answers are correct

Step-by-step explanation:

A = Area = ?

C = Circumference = ?

SInce both the "Area" and "Circumference" are unknown, we use the formula:

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]

Remember that:

The diameter is the length of the line through the center

and

The radius is half the diameter

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]

Calculate 16 to the power of 2 and get 256

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]

Multiply [tex]\frac{1}{4}[/tex] and 256 to get  [tex]\frac{256}{4}[/tex]

[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]

Divide 256 by 4 to get 64

[tex]\mathrm{A=64\pi }[/tex]

Multiply 64 and π to get 201.06192983

[tex]\mathrm{A=201.06192983}[/tex]

Round to the nearest tenth and get 201.1

[tex]\mathrm{A=201.1}[/tex]

Next we need to find the "Circumference"

Formula for finding circumference is:

C = πd

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

C = π(16)

Multiply 16 and π to get 50.265482457

C = 50.265482457

Round to the nearest hundreth and get 50.27

C = 50.27

So, your answers are correct.

The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.

9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons​

Answers

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

______________________________________

let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

_____________________________________

According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

_____________________________

hope helpful :D

The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim

Answers

Answer:

55.9 m

Step-by-step explanation:

If you swam from one cornee to the other, you divide the rectangle into 2 right triangles

the diagonal is a common hypothenus of the triangles

applying pytha

C² = A² + B²

C² = 25² + 50²

C² = 625 + 2500

C² = 3125

C = sqrt 3125

C = 55.9 m

Answer:

105 cubic meters

Step-by-step explanation:

1. a) Solve the following linear-quadratic system of equations graphically.
y + 2x²– 8x – 1= 0
y+ 2x – 9= 0

b.) GRAPH

c.) Verify your solution (s) algebraically.

Answers

Answer:

please see explanation

Step-by-step explanation:

look at the photo

Help me please 4 questions 50 points this is due today

Answers

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

PLEASE HELP ME ASAP!! 20 POINTS

Answers

Answer:

44%

Step-by-step explanation:

25 divided by the eleven students is .44

Answer:

It would be 44%.

Step-by-step explanation:

There are 11 boys and 25 students in total. That would make it 11/25. That is 44 out of 100. Which is 44%.

the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant

Answers

Answer:

950.331ft^3

Step-by-step explanation:

I hope this is correct...

I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ

Answer:

60

Step-by-step explanation:

1/6 x 360

Central angle is equal to measure of intercepted arc.

60 degrees

Write 9.33 as a mixed number and as an improper fraction. Do not try to simplify your answers.​

Answers

Answer:

Improper Fraction:
933/100

Mixed Number:
9 33/100


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

mia kicked a football. the function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after mia kicked it.

Answers

Answer:

Step-by-step explanation:

f(t)= 20t-5t^2

Answer:

(4,0)

Step-by-step explanation:

I did it on khan and got it right :)

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