A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l+2l+7=82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win?

Answers

Answer 1

Answer:

The team lost 25 games and won 57.

Step-by-step explanation:

I am going to say what:

w is the number of games won.

As the problem states, l is the number of games lost.

The team won 7 more than twice as many games as it lost.

This means that [tex]w = 2l + 7[/tex]

A baseball team played 82 games.

This means that:

[tex]w + l = 82[/tex]

[tex]2l + 7 + l = 82[/tex]

[tex]3l = 75[/tex]

[tex]l = \frac{75}{3}[/tex]

[tex]l = 25[/tex]

And

[tex]w = 2l + 7 = 2*25 + 7 = 57[/tex]

The team lost 25 games and won 57.


Related Questions

1 A pattern of numbers is shown below. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 x 20 x 6 1 Write down the value of x. [1]

Answers

Answer:

x=15

Step-by-step explanation:

The pattern of numbers can be re-written in the form below:

[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]

The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.

Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.

1+5=65+10=x10+10=2010+5=x5+1=6

We can then see that:

5+10=x; and

10+5=x

10+5=5+10=15

Therefore:

x=15

Answer:

hehe

Step-by-step explanation:

3r-30=6+7r
solve for r

Answers

Answer:

r = -9

Step-by-step explanation:

First we want to ge the rs in the same place:

[tex]3r-7r=6+30[/tex]

[tex]-4r = 36[/tex]

[tex]r=-9[/tex]

Answer:

r= -9

Step-by-step explanation:

[tex]3r-30=6+7r\\Collect like terms\\3r-7r= 6+30\\-4r = 36\\Divide both sides by -4\\r = -9[/tex]

Find 7.5×1041.25×10−9. Write your answer in scientific notation.

Answers

Answer:

7.5×1041.25×10−9 = 78,084.75 = 7.808475 x^10

Step-by-step explanation:

PLEASE HELP TY
show all work

Answers

Answer:

36 cm

Step-by-step explanation:

[tex]V= \frac{4}{3} \pi r^{3}[/tex]

[tex]3V= 4\pi r^{3}[/tex]

[tex]r^{3}=\frac{3V}{4\pi }[/tex]

[tex]r= 3\sqrt{\frac{3V}{4\pi } }[/tex]

[tex]r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }[/tex]

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

graph:y-3=1/2(x+2)
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Answers

Answer:

x intercept = -0.25

y intercept = 4

Step-by-step explanation:

  1.- remove parenthesis

y-3 = 1/2x +1

  2.- adjust to equal y

y = 1/2x +1 +3

y = 1/2x +4

  3.- guess values for x to try in the simplified equation.

x = -0.25 | y = 0

x = 0       | y = 4

x = 2       | y = 5

x = -2      | y = 3

x = 4       | y = 6

x = -4      | y = 2

  4.- graph all coordinates (x,y). Draw a line connecting each dotted coordinate.

Answer:

D:(0, 4)

Step-by-step explanation:

how because its me i'm always right

3y
What happens to the value of the expression as y increases?
2y
Choose 1 answer:
It increases.
B
It decreases.
It stays the same

Answers

Answer:

decreases

Step-by-step explanation:

The function f(x) = 3(1.7)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 4 times? Round your answer to the nearest hundredth.

Answers

Answer:

A = a + b2h = 9 + 42 · 10 = 65

Step-by-step explanation:

I’ll mark brainliest!!

Answers

All four angles sum to 360 so the remaining two add to 360-180-20=160.  

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Answer:

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Step-by-step explanation:

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 b.Explain the value of each digit in your answer to 1(a) using place value terms.

Answers

Answer: $5.5

Step-by-step explanation:

Here is the complete question:

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms

Item sold = 486

Total amount = $2673

Price of each item = Total amount/items sold

= 2673/486

= $5.5

Each item costs $5.5.

5.5 = 5 units and 5 tenths.

The first number after the decimal point by the right is the tenths.

Raman have 72.75 M long string he cut the string in certain species of equal length if one piece is 14.55 M long how many pieces are cut out of from the rope

Answers

Answer:

5

Step-by-step explanation:

Raman have 72.75 M long string and he cut the string in pieces of equal length of 14.55 M long .

To find how many pieces he cut, we simply divide the length of the original piece of string by the length of the cut piece of string.

That is:

72.75 / 14.55 = 5

He can cut 5 pieces of string.

By what number do you multiply the radius of a circle to double its area? Show the process to get the answer.

Answers

Answer:

Area of circle = πr²

New doubled area = πR² ( r ≠ R )

As it is double of older area :

πR² = 2πr²

R² = 2r²

R = √2r

Thus we have to multiply the radius to √2 to double its area

Point A is at (-6, 8) and point B is at (6, -7). What is the midpoint of line segment AB?

Answers

Answer:

(0,0.5)

Step-by-step explanation:

by using midpoint formula

-6+6/2 , 8+(-7)/2

0/2 , 1/2

0 ,0.5

hope you happy with this

please mark as brainlist

A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive. 1- What is the initial height of the swimmer? 2- What is the max height of the dive? 3) What is the x-intercept ? Explain what does it represent? 3 questions needs to be answered please, any help?

Answers

Answer:

See explanation below

Step-by-step explanation:

In picture attached I manage to find one graph. Just follow the explanation of this, if your graph data is different than this.

According to the attached graph we can see that the line of the graph is beggining at 12. So we this, we can assume and say that the initial height of the swimmer is 12 ft.

The max height would be the maximum point in the graph where it reach the maximum height. In other words, the highest point of the line. since the beggining of the jump. As you can see in the graph, this is reached between 22 and 24 ft. So we can assume is around 23 ft. So the maximum height would be 23 ft

Finally the x-intercept, would be the point of the line where it reach the x-axis. In this case, it would be a point really close to 8. You can say it's about 7.8, or even the number 8 if you wish. In this case, let's say it's 7.8 the x-intercept

The recommended daily allowance of cholesterol is 300 mg. What is 80% of the recommended daily allowance of cholesterol?

Answers

Answer:

240 mg

Step-by-step explanation: 300 * .8 = 240

i believe that the answer will be 240 because when u do .8x the daily you get that.

Let X and Y be the following sets X={5,6,10,12,15,18} Y={6,10,12,15} which of the following is the set XUY

Answers

Answer:

{5,6,10,12,15,18}

Step-by-step explanation:

X={5,6,10,12,15,18}

Y={6,10,12,15}

XUY={5,6,10,12,15,18}

You don't need to put a number more than once.

Mums are plants that bloom in the fall.
Which statement describes the photoperiodism of mums?
They bloom when the days are longer.
O They bloom when the nights are longer.
O They bloom when the temperatures are warmer.
They bloom when the temperatures are colder.

Answers

They bloom when the nights are longer.

My reasoning is the mention of PHOTOPERIODISM. Photoperiodism means the reaction to length of a day or night cycle, since fall is the beginning of shorter days and longer nights, it is only reasonable that the answer is that THey bloom when the nights are longer.

Hope this helps, if not, comment below please!!!

Answer:

D

Step-by-step explanation:

100%

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance , to the nearest tenth of a mile, they must travel to return to their starting point?
PLSS HELP EXTRA POINTS, WILL GIVE BRANLIEST!!

Answers

Answer:

9.4 miles

Step-by-step explanation:

We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;

8^2 + 5^2 = x^2 ⇒ square 8 and 5,

64 + 25 = x^2 ⇒ Combine like terms,

x^2 = 89 ⇒ Take square root on either side

Solution; Shortest Distance ⇒ length of 9.4 miles

helppp pt.5 plzzzzz​

Answers

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

Can you help me and show work 2
Thank you

Answers

Answer:

sure it's 3 2/3

Step-by-step explanation:

the yards are 50 inches so it is going to be

There are 15 dogs, 22 cats, and 4 rabbits at a shelter. Each dog needs a collar, bowl, and toy. Each cat needs a collar, bowl and 2 toys. Each rabbit needs a bowl. How many total toys will the shelter need?

Answers

Answer:

137 toys

Step-by-step explanation:

You take the number of dogs = 15

and how many things each dog needs = a collar, bowl, and toy

and you multiply 15 by three to get the number of collars, bowls, and toys each dog needs. Then repeat this process and add all of your answers

Dog = 60

Cat = 88

Rabbit = 4

88 + 60 + 4 = 137

(If the collar, and bowls don't count as toys then just message me and I will redo the math for you.)

A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the frame?

Answers

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

Answer:

192

Step-by-step explanation:

10 mi
9 mi
7 mi
What is the volume

Answers

I'm going to assume that you are trying to find the volume of a rectangular prism.

Volume formula: V = lhw

V = 10*9*7

V = 90*7

V = 630

Therefore, the volume is 630mi³

Best of Luck!

The dimensions of a CD case are 14.2cm by 12.5cm. Each case is approxiomately 1cm deep. What would be the volume of this stack of 17 cd cases to the nearest tenth?

Answers

Answer:

3017.5 cm³

Step-by-step explanation:

The volume of a rectangular prism is V = l × w × h

Here the length is 14.2, the width is 12.5, and the height is 1

Plugging these into our formula we get V = (14.2)(12.5)(1) = 177.5 cm³

Since there are 17 CD cases stacked on top of each other, we will multiply our number by 17 which gives us (177.5)(17) = 3017.5 cm³

Anyone please answer me ,
Please solve this question

Answers

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

Answer:

[tex]15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51[/tex](according to BODMAS)

Step-by-step explanation:

First divide 45 by three

[tex]45 \div 3 = 15[/tex]

then subtract 15 from 23 and divide that answer by 2

[tex]23 - 15 = 8 \\ 8 \div 2 = 4[/tex]

Now subtract 4 from 10 and then divide that answer by 2

[tex]10 - 4 = 6 \\ 6 \div 2 = 3[/tex]

Now add 3+4+4*11 you will get the answer for ?

[tex]3 + 4 + 4 \times 11[/tex]

3 + 4 + 44

7 + 44

= 51

hope this helps

brainliest appreciated

good luck! have a nice day!

ella bought 2.7 yards of fabric for $3 per yard how much did she spend

Answers

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

what is -15=2-x? plz helps

Answers

Answer:

x=17

Step-by-step explanation:

-15=2-x

-x=-15-2 (u put the like terms together)

-x=-17 (u divide both sides by -1)

x=17

$725 at 3.25% for 6 months

Answers

what’s the question?

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O P will be closer to B because it will be

the distance from B to A.

P will be closer to B because it will be

the distance from B to A.

Mark this and return

Save and Exit

Next

Submit

Answers

Answer:

A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Length of AP[tex]=\frac{3}{7}X14=6 \:units[/tex]Length of PB[tex]=\frac{4}{7}X14=8 \:units[/tex]

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

Answer:

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer  A.)   P will be closer to A because it will be Three-sevenths the distance from A to B.  

Wrong Answer  B.)   P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.)    P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.)   P will be closer to B because it will be Four-sevenths the distance from B to A.

Step-by-step explanation:

The volume of a cylinder is 47x3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
2x
4x
2x2
4x2

Answers

Answer:

c

Step-by-step explanation:

The expression for the radius of the cylinder is r = 2x units

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the value of V is

V = 4πx³ units

where the height of the cylinder is h = x units

So , the Volume of Cylinder = πr²h

On simplifying , we get

4πx³ = πr²h

Substituting for h , we get

4πx³ = πr² ( x )

Divide by πx on both sides , we get

r² = 4x²

Taking square roots on both sides , we get

r = 2x units

Therefore , the value of r is 2x units

Hence , the radius of the cylinder is 2x units

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ7

Find the surface area of the cone with a diameter of 12 centimeters and a slant height of
85 millimeters.
Please answer due in 20 minutes

Answers

Answer:

lateral surface area is 160.14 square cm.

Total surface area is 273.16  square cm  

Step-by-step explanation:

Lateral surface area of cone is given by [tex]\pi rl[/tex]

where r is radius of cone

and l is slant height of cone.

l = 85 millimetres

we know that 10 millimetres is equal to 1 cm

Thus 85 millimetres is equal to 8.5 cm

Thus slant height(l) in cm is 8.5[tex]\pi rl\\=>\pi 6*8.5\\=> 3.14*51\\=>160.14[/tex]

we will use value of [tex]\pi[/tex] as 3.14

Diameter of cone = 12 cm

we know that radius is equal to half of Diameter

radius of given cone = 1/2 *Diameter = 1/2 * 12 = 6 cm.

Thus lateral surface area of cone is given by

[tex]\pi rl\\=>3.14*6*8.5\\=>153[/tex]

Thus, lateral surface area is 160.14 square cm.

Area of base of cone will be area of circular base

area of circle is given by [tex]\pi r^2[/tex]

Thus area of base is given below

[tex]\pi r^2\\=>3.14*6^2\\=>113.04[/tex]

area of base is 113.04 square cm

Total surface area of cone is sum of area of base and lateral surface area

Total surface area = 160.14+113.04 = 273.16  square cm.

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