Mathematics Middle School

Ron is five years older than twice his cousins Pat's age. The sum of their ages is less than 35. What is the minimum age Pat can be?
A.) 7
B.) 8
C.) 9
D.) 10

Answers

Answer 1
r = 2p + 5
r + p < 35

2p + 5 + p < 35
3p + 5 < 35
3p < 35 - 5
3p < 30
p < 30/3
p < 10.....Pat has to be less then 10


minimum age : 7
maximum age : 9


Related Questions

find the discriminant and determine the number of real solutions : 4x^2 + 7x - 15 = 0

Answers

The discriminant of a quadratic expression [tex]\displaystyle{ ax^2+bx+c[/tex] is 
                          [tex]\displaystyle{ D=b^2-4ac[/tex].

In the quadratic [tex]4x^2+7x-15[/tex], a=4, b=7, and c=-15.

Thus, [tex]\displaystyle{ D=b^2-4ac=7^2-4(4)(-15)=49+240=289>0[/tex].


The discriminant is positive, this means that the equation has 2 real solutions.

Answer: 2

Uptown Photography charges $15 per portrait sheet, plus $19 for a session fee. Downtown Photography charges $29 for a session fee and $10 per portrait sheet. Find the number of portrait sheets for which the total price is equal for the companies with the solution stated as an ordered pair. A) (5, 79) B) (4, 69) C) (3, 59) D) (2, 49)

Answers

The answer is (2,49).


In 2001, the population of the United States was about 2/7 billion people. It is projected that by 2025, there will be 1/3 billion people in the United States. How much will the population increase by 2025?

Pleeeeeeaaaaase show steps

Answers

between this two years that's 2001 and 2007 there is 1/3 over 2/7

for as to get the total number 1/3 divide 7/2=1,1/6 billions of people

Subtract the starting population from the increased population:

1/3 -2/7

Rewrite the fractions to have a common denominator:

7/21 - 6/21 = 1/21 billion increase.

What is the slope of the graph for the equation y = -5x + 8? A. 0 B. -5 C. 8

Answers

-5 because it is in the form of y=mx+b and m is the slop
The slope is always the number that comes before x, making the slope for this equation B, -5.
Hope this helped!

The odometer on your family car reads 20,186.7 after going
62.3 miles. How many miles were on the odometer before
going 62.3 miles?

Answers

I believe the answer you are looking for is 20,124.4

where would 2015 be on a mod 7 clock

Answers

6, I believe is the answer

Christopher recorded the low temperature each day for 1 week and recorded his results in this table. Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Low −5 °F ​ −8 ​°F ​ −6 ​°F ​ −8 ​°F ​ −3 ​°F 2° F 7° F What is the average low temperature for the week? Enter your answer in the box.

Answers

(-5 + (-8) + (-6) + (-8) + (-3) + 2 + 7 = -21/7 = -3 <==

:P
-3 is the answer.
srry if it's a little late

There are 25 students in the class. ten students have sports practice after school. What is the ratio of students that do have practice, to those that do not?

Help ASAP plz

Answers

25 student minus the student who have practice, 15. 10:15 divide them by 5. Final answer 2:3
The number of students that don't have practice is 25-10=15 students.

The ratio is 10:15, which is equal to 2:3

Hope this helps!
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One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cattle and 15 beef cattle in the barn. How many more dairy cattle are on the farm than beef cattle?

Answers

There are 50 more dairy cattle than beef cattle.
Given that 30 = 1/3rd of the total Dairy Cattle that means there are 2 more sets of 30 elsewhere. 30 x 3 = 90 Dairy Cattle total.

If 15 is 3/5ths of the beef cattle then that means that 1/5th is 5 (Since 15 divided by 3 = 5). This means that in total (Since 1/5th is 5) you can multiply 5 by 5 to get 25 Beef Cattle total. 

Overall 90 - 25 = 65 more Dairy Cattle total

how many time more respondents chose silver than red round to the nearest tenth if necessary red is .2 and .09 is silver

Answers

The number of respondents for the silver car is 0.2 and the number of respondents for the red car is 0.09. 
To find the number of respondents that prefer silver to red = 0.2/ 0.09 = 2.222
To the nearest tenth, the answer is 2.2.
The answers means that 2.2 more people prefer silver car to the red car.

terrell runs 15 sprints. each is 65 meters. how many does terrell run

Answers

You have to multiply the amount of sprints with the amount of meters, 15 times 65 is 975m. Terrel ran 975 meters.
65 * 15 = 975 meters

Nathan helps out in the family pet shop on Saturdays. He must separate a shipment of 112 fish into nine bowls. Does Nathan have enough bowls if each bowl can fit no more than 12 fish? Explain why.

Answers

he has 9 bowls...and each bowl holds ,at most, 12 fish...so he can house (12 * 9) = 108 fish at most.

so... no, he does not have enough bowls ....he only needs one more bowl
No, because 112 divided by 9 is 12.44444, and you can't put .4 of a fish in a fish bowl

ANSWER A B C AND D DOWN BELOW

Answers

1. a)

So you could just change the equation around.

You could add 273.15 to both sides, and get

c + 273.15 = K

You could subtract K from both sides

C - K = -273.15

And so on.

1 b)

So since you know the variable C, you can just put that in the equation.

23 = K - 273. 15

I would add 273.15 to both sides.

23 + 273.15 = K

296.15 = K

So therefore the temperature in Kelvins would be 296.15

1 c) So here it would be easier to just convert 300 Kelvins to Celsius.

Put in all the variables first.

C = 300 - 273.15

And then just subtract.

C = 26.85

26.85 > 25

So therefore 300 Kelvins is greater.

Jack and Jessica and the same amount last week.Jack earned $18 per hour and had $41 taken away from his check for Taxes. Jessica earned $15 an hour and had to $17 deducted from her pay. how many hours did they each work in order to get paid the same amount

Answers

243.75 is the answer to your problem

A glass pitcher holds 6 1/3 cups of pineapple juice. Tracy transfers the juice in equal amounts into 3 bottles. How many cups of juice will each bottle contain? (Show ur work plz)

Answers

6 1/3 divided by 3
The answer is 19
6 1/3 divided by 3
The answer is 19

What’s 8,450 divided by 125

Answers

8.450 divided by 125 = 67.6

Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer. Find the two consecutive even integers

Answers

Final answer:

The problem is solved by creating an equation based on the given properties and solving for x, which represents the smaller even integer. After solving, we find that the two consecutive even integers in question are 8 and 10.

Explanation:

Let the smaller even integer be denoted as x. Consequently, the larger consecutive even integer will be x + 2, since even integers are two units apart.

The problem states that when we add the smaller integer to three times the larger integer (x + 3(x + 2)), the result is two less than five times the smaller integer (5x - 2). This gives us an equation to solve:

x + 3(x + 2) = 5x - 2

Expanding the left side of the equation:

x + 3x + 6 = 5x - 2

Combining like terms:

4x + 6 = 5x - 2

Now, subtract 4x from both sides:

6 = x - 2

Finally, add 2 to both sides to find the value of x:

x = 8

Therefore, the smaller integer is 8, and the larger consecutive even integer is 10.

So, the two consecutive even integers are 8 and 10.

Final answer:

To find the two consecutive even integers, assign variables x and x + 2. Set up and solve the equation x + 3(x + 2) = 5x - 2 to find x = 8. The consecutive even integers are 8 and 10.

Explanation:

To find the two consecutive even integers, let's assign variables to represent the integers. Let the smaller integer be x and the larger integer be x + 2 (since they are consecutive even integers). The problem states that when the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.

So, we can set up the equation: x + 3(x + 2) = 5x - 2. Simplify and solve for x:

x + 3x + 6 = 5x - 24x + 6 = 5x - 24x - 5x = -2 - 6-x = -8x = 8

Therefore, the smaller integer is 8 and the larger integer is 8 + 2 = 10. The two consecutive even integers are 8 and 10.

Learn more about Consecutive even integers here:

https://brainly.com/question/26438608

#SPJ11

Which number is a perfect cube A 3 B 15 C 64 D567

Answers

c64 is the perfect cube
C. 64 because it is an even number... a square can be odd

of all the whole numbers that divide evenly into two or more numbers the one with the highest value is called the _____________.

Answers

greatest common factor (GCF)

Hamburger costs $1.50 per pound and soy costs $1.00 per pound. The school cafeteria uses 50 more pounds of soy than hamburger and spends $350 a week. How much soy does the school use?

Answers

Suppose the the school uses x pounds of Hamburger, then the number of pounds of soy is x+50, the cost of Hamburger is 1.50x, the cost of soy is 1.00(x+50), the total cost if 350
1.50x +1.00(x+50)=350
2.50x+50=350
2.50x=300
x=120
120+50=170
so the school uses 120 pounds of Hamburger and 170 pounds of soy

f y = 16x, which table shows the values of y for different values of x?


x 0 2 4
y 0 18 20

x 0 2 4
y 0 8 4

x 0 2 4
y 0 32 64

x 0 2 4
y 0 16 32

Answers

x )0 2 4 y)0 16 32 is ur answer 

Answer:

D

Step-by-step explanation:

Write a decimal that is greater than 3.4 but less than 3.5

Answers

3.45 is in between the two
A decimal that is great than 3.4 but less than 3.5 will be 3.45 or 3.46

What is the cost of 2 kilograms of flour if 3 Kg cost $4.86 and the unit price for each packet of flower is the same? A. $0.81 B. $2.86 c. $3.24 d. $9.72

Answers

The cost of 2 kilograms of flour is $3.24 (C).

9-3÷1/3+1. what's the answer

Answers

9 - 3 ÷[tex] \frac{1}{3} [/tex] + 1

3 ÷ 1/3 = 9

9 - 9 + 1

0 + 1 = 1

Hope this helps!
9-3÷1/3+1

6÷1/4

6/4

3/2 or 1 1/2

2. Which conjecture is true?

A. An even number plus 3 is always even.
B. An even number plus 3 is always prime.
C. An even number plus 3 is always odd.
D. A prime number plus 3 is always even

Answers

The answer is C. A way to find out is to add a few numbers from that group being specified. If you add 2 or even 100 to 3, the answer will be odd. If you add 12 to 3, you will get 15 which is a composite number. If you were to add 2 to 3, you will get 5 which is an odd number.

C. An even number plus 3 is always odd.

Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc

Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc

Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc

If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.

So, the conjecture is :

An even number plus 3 is always odd.

Therefore the correct option is (c).

Learn more:https://brainly.com/question/19564735

In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines?

Answers

A transversal line is the term for a line that intersects two parallel lines.

Answer:

its been 3 years but the answer is b

Step-by-step explanation:

Jenny's frog made one jump of 2.34 meters. Christina's frog made jumps of 1.22 meters and 0.89 meters. How much further did Jenny's frog jump in one jump than Christina's frog in two jumps combined? 0.23 m 0.33 m 1.12 m 1.45 m

Answers

Answer is .23 m
Jenny's frog = 2.34 m
Christinas frog - 1.22+.89 =2.11

2.34 - 2.11 = .23 m

took the k12 test it 0.23

math question down below

Answers

I am sure, it is 5(x+30)

Hans rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 85 cents for each mile driven. Hans had to pay $205.29 when he returned the truck. For how many miles did he drive the truck?

Answers

he drove 218 miles in the truck 

what is 0.4% of $100

Answers

0.4% = 0.004

100 * 0.004 = 0.4

0.4% = 4/1000 = 2/500

100*2/500=200/500=2/5

2/5=0.40

The answer is $0.40

Hope this helps!
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