Alonzo and Miguel scored a total of 54 points in the basketball game. Miguel scored four more points than Alonzo. Write and solve a pair of simultaneous linear equations that represents the situation. Interpret the solution.

Answers

Answer 1
a+m=54             m=a+4
a+m=54          m-a=a-a+4   
a+m=54             m-a=4
Add the equations together.
a+m+m-a=54+4
2m=58
m=29
Miguel scored 29 points.
Alonzo scored 25 points.
Check: 25+29=54
Answer 2

We will call A and M the scores obtained by Alonzo and Miguel respectively​

A + M = 54 (Alonzo and Miguel scored a total of 54 points) Equation 1​

M = A + 4 (Miguel scored four more points than Alonzo) Equation 2​

We will substitute the value of M for the second equation in the first equation​.

A + A + 4 = 54​

2A = 54 - 4​

A = 50/2 = 25 points (Alonzo scored this.​)

M = A +4 = 25+4 = 29 points (Miguel scored this.​)

Answer : Alonzo scored 25 points and Miguel scored 29 points

Checking

A + M = 25 points + 29 points = 54 points Check !

Hope this helps!​​​​​​​

[tex]\textit{\textbf{Spymore}}[/tex]​​​​


Related Questions

Drag the numbers to order them from least to greatest.



Answers

Least to Greatest: -4 1/2, -1/2, 1/4, 2/3, 2 1/3



Answer:

-4 1/2, -1/2, 1/4, 2/3, 2 1/3

Step-by-step explanation:

Given the numbers in the order below;

-1/2, 1/4,2/3,-4 1/2, 2 1/3

Firstly we will convert this fractions to percentage.

For -1/2;

-1/2×100 = -50%

For 1/4;

1/4×100 = 25%

For 2/3;

2/3×100 = 66.7%

For -4 1/2 = -9/2

-9/2×100 = -450%

For 2 1/3 = 7/3

7/3×100 = 233.1%

Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)

During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;

-450%, -50%, 25%, 66.7%, 233.1%

According to their fractions will give us;

-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)

Find the percent of the total area under the standard normal curve between the given z-scores. z= -1.10 and z= -0.36

Answers

0987[tex] \sqrt{x} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] [/tex]

To find the percent between two z-scores under the standard normal curve, subtract the individual areas. In this case, the percentage between z = -1.10 and z = -0.36 is 1.72%.

To find the percent of the total area under the standard normal curve between z-scores, you need to first calculate the difference between the two areas to the left of each z-score. Given that the area to the left of z = -1.10 is 0.3446 and the area to the left of z = -0.36 is 0.3618, you can find the percent between them by subtracting these values: 0.3618 - 0.3446 = 0.0172 or 1.72%.

Sasha is determining the number of pencils in her math class. Sasha is collecting what kind of data?

Answers

is it multiple choice or no ?

Answer:

im on the same thing but i think the answer is bivariate

Step-by-step explanation:

After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.
Write an equation that represents the value V (in dollars) of the car x years after it is purchased.

Answers

Original - 4000x 

so, after 3 years we have: 

Original - 12000 = 18000 

=> Original = $30,000 

Answer:

Original - 4000x  

so, after 3 years we have:  

Original - 12000 = 18000  

=> Original = $30,000  

Step-by-step explanation:

Which table represents a function.

Answers

I believe it is the top right

Top right is the correct one. The domains can’t repeat or else it’s not a function.

Divide.

−10÷5

Drag and drop the correct number into the box to complete the sentence.
The quotient is .

Answers

-10/5 equals -2..... 10 divides by 5 and carry the negative sign
-2 is the answer you were looking for

The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height

Answers

Putting all the heights in order we get:
149.25
149.5
150.75
152.0
Bradley is the tallest, so he is 152.0
Josh is the shortest, so he is 149.25
Calvin is taller than josh, but shorter than mark,
So Calvin is 149.5, making Mark 150.75cm

Answer:

150.75 cm

Step-by-step explanation:

Given heights,

152.0 cm, 150.75 cm, 149.5 cm, and 149.25,

∵ Calvin is taller than Josh, but shorter than Mark,

The increasing order of heights,

Josh < Calvin < Mark,

Also, Bradley is the tallest,

That is, the height of Bradley is the greater than Josh, Calvin and Mark,

So, the final increasing order of heights,

Josh < Calvin < Mark < Bradley

∵ 149.25 < 149.5 < 150.75 < 152.0

Hence, the height of Mark is 150.75.

Find the circumference of the circle in terms of pi.

A. 39 in
B. 1521 in.
C. 78 in
D. 156 in

Answers

The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],

[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]

Correct choice is (C).

Answer:

Option C is correct

78 π inches

Step-by-step explanation:

Circumference (C) of a circle is given by:

[tex]C = 2 \pi r[/tex]                   .....[1]

where, r is the radius of the circle.

As per the statement:

From the given figure;

radius of the circle(r) = 39 in.

Substitute this value in [1] we have;

[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]

Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]

A telephone company charges a monthly rate plus a rate per minute of usage.

Answers

so what is the question here?

Answer:

Step-by-step explanation:

dude really put what i typed as a question.

How do you find and use the greatest common factor of two whole numbers

Answers

The greatest common factor of two whole numbers can be found by an example given.

How to find Greatest common factor?

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).

For example;

we have the 52, and 24, for a number that can go into both that is the largest possible for my example

That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.

Therefore, the greatest common factor of two whole numbers can be found by an example given.

Learn more about greatest common factor here:

https://brainly.com/question/207329

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Help me with number 7 plz

Answers

7a. 15 yards = 42 feet therefore the answer is > (Greater than).
7b. 5 tons is 10,000 lbs because 1 ton = 2000lbs therefore the answer is > (Greater than)
7c. 1 quart equals 2 pints therefore 5 quarts equals 10 pints making this = (Equal to).
7d. 600 yards is equal to 0.34 miles therefore the answer is > (Greater than)

28 divided by 7 add 2 mutiply 3 equals ?

Answers

28 divided by 7 is equal to 4

4 plus 2 is 6

6 multiplied by 3 is 18

So it would be

[tex] \frac{28}{7} +2*3=18[/tex]


Hope I helped!

Let x be the number of boys in a family of 4 children. Determine the values of the variable x. please answer.

Answers

There could be 1,2,3,4, or 5

8,473,227 round to the nearest 100,000

Answers

8,500,000

hope it helps!
8,473 to the nearest 100,00 is 8,500,000 

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.

Answers

Answer:

y-5=-1/2(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-5)/(-1-(-3))

m=-1/(-1+3)

m=-1/2

y-y1=m(x-x1)

y-5=-1/2(x-(-3))

y-5=-1/2(x+3)

write a rule for the linear function in the table.

a. f(x) = -3x - 4
b. f(x) = -1/3x - 4
c. f(x) = x - 7
d. f(x) = 3x + 4

Answers

answer

a. f(x) = -3x - 4

-------------------

Answer:

i dont know

Step-by-step explanation:

Evaluate the expression 14x + y when x = 11 and y = 20.

Answers

Evaluating an expression just means to replace x by its value and y by its value and do some calculus.
By hypothesis, x = 11 and y = 20.

So in the expression 14x + y, you just replace x by 11 and y by 20.
14x + y = 14 * 11 + 20 = 154 + 20 = 174

Hope this helps! :)
Substitute the value of the variable into the expression and simplify.

174

A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?

Answers

500 total magazines...

Amy sold 1/9......1/9(500) = 500/9 = 55.5
Garret sold 0.145.....0.145(500) = 72.5
Robbie sold 12/100.....0.12(500) = 60
Carlita sold 0.095.....0.095(500) = 47.5

Garret sold the most

or u could have done it this way...
Amy sold 1/9.....1/9 = 11.1%
Garret sold 0.145 = 14.5%
Robbie sold 12/100.....12/100 = 12%
Carlita sold 0.095....0.095 = 9.5%

u will still get the same answer...Garret

Convert all of them into fractions. 
Amy - 1/9
Robbie - 3/25
Garret - 29/200
Carlita - 19/200
What is the common denominator? 
1800
Change the denominators. 
Amy - 200/1800
Robbie - 216/1800
Garret - 261/1800
Carlita - 171/1800
Since Garret's fraction is the greatest, Garret sold the most papers.


At 2:30 am the temperature in Joelle is 3 F. The temperature drops 3/4 of a degree in 30 min. What is the temperature on Joelle at 3:00am?

Answers

The answer is B. 2.25 degrees Fahrenheit because if you subtract 3/4 from 3, you shall get 2.25.

Answer:  B. [tex]=2.25^{\circ}F[/tex]


Step-by-step explanation:

Given: At 2:30 am the temperature in Joelle is 3 F.

The temperature drops 3/4 of a degree in 30 min.

3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]

Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]

[tex]=3^{\circ}F-0.75^{\circ}F[/tex]

[tex]=2.25^{\circ}F[/tex]

Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]

Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340

Answers

 The answer would be 4 weeks and the total be $280. If you plug in 4 for Carly, you get $280 and if you plug in 4 for Janiya, you also get $280

Please answer All!!! (first part)

Answers

3.
-0.5(-4) +1= 2+1 =3
-0.5(-2)+ 1= 1+1 = 2
-0.5(0) + 1 = 1
-0.5(2) + 1 = -1 + 1 = 0
-0.5(4) + 1 = -2+1 = -1
The answers follow left to right


5.
Y=1
Y=-1
Y= 1
Y= 3
Y= 7
This answer also I ordered

which two lines are parallel? 1) 4y=3x-4 2)4y=-1-3x 3) 4y+3x=-1

Answers

according to the standard line equation

y=mx+c

on comparing the given equations with the standard one

for 1)m=3/4
     2)m=-3/4
     3)m=3/4
clearly line 1 and 3 have the same slope 


hence 1 and 3 are parallel

hope you understand
1 and 3 are parallel because the slopes are the same

The 16 pound turkey cost $14.24 what was the price per pound

Answers

answer is 0.89. the reason is that if you divide the two number (14.24 divided by 16) you will get 89/100 which is the same as saying 0.89


$0.89 per pound, because in order to find how much it is per pound you would have to divide 16 and 14.24 which will give the answer of 0.89

The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?

Answers

13 + 13 + 9 + 9 = 44 feet.
Please make this answer the brainliest!
Here L = 13 ft and W = 9 ft.

P = Perimeter = 2L + 2W.

Then P = 2(13 ft) + 2(9 ft) = 26 ft + 18 ft = 44 ft (answer)

The cubs won 87 games in 2013 and 75 games in 2014. Find the percent decrease?

Answers

To calculate for the percent of decrease:
First: work out the difference between the two numbers that you are given with.

Decrease = Original Number - New Number

Second: divide the decrease by the original number and multiply the answer by 100.
In formula terms it would look like this percent of decrease = Decrease ÷ Original
Number × 100

= (87-75) / 87 x 100

= 12/87 x 100

= 0.137931034 x 100

=13.79%
Final answer:

To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.

Explanation:

To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.

Learn more about Percent Decrease

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Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer

Answers

the answer is A...................

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?

Answers

i believe the x value is 12. so it is 12, 24

Answer:

(12,24)

Step-by-step explanation:

Givens

The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).

We can deduct the equation that represents this problem using the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]

So, for [tex]y=24[/tex], we have

[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]

Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).

Solve for y in terms of x 2/3y-4=x

Answers

X+4=2/3y
(2/3)(x+4)=y

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3y - 4 = x

2/3y = x + 4

y = 3/2(x) + 4*3/2

y = 3/2x + 6

hence the answer is y = 3/2x + 6

hope this helps

Twelve large bottles of water cost $9. How much would 7 bottles of water cost?

Answers

the answer is $5.25 or .75 cents each
So you would divide 12 and 9. Witch equals .75. Then you would times / multiple 7 and .75 would equal $5.25

how could i answer this question? "suppose 2 friends want to share 5 cookies evenly. Interpret the remainder in two different ways." please help me

Answers

Answer:

4 cookies will be eaten, 2 by each friend, and 1 will be left over, unless they cut it in half.

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