The sum of two numbers is 22. Three times one number increased by five is the same as twice the other number decreased by four. What is the LARGER of the two numbers? ​

Answers

Answer 1

Answer: 15

Step-by-step explanation:

To solve this problem, we first need to translate the given information into a system of equations. Let's call the first number x and the second number y. Since the sum of the two numbers is 22, we know that x + y = 22.

The second statement says that three times one number increased by five is the same as twice the other number decreased by four. We can translate this into an equation by substituting x and y for the two numbers and using the given information:

3x + 5 = 2y - 4

Now that we have a system of equations, we can solve for x and y. First, we'll solve for x by adding four to both sides of the second equation:

3x + 9 = 2y

Then, we can divide both sides by three to get the value of $x$:

x = {2y - 9} / {3}

Next, we can substitute this expression for x into the first equation to solve for y:

y + {2y - 9} / {3} = 22

We can simplify this equation by multiplying both sides by three:

3y + 2y - 9 = 66

Combining like terms on the left side, we get:

5y - 9 = 66

Then, we can add nine to both sides to solve for y:

5y = 75

Finally, we can divide both sides by five to find the value of y:

y = 15

Now that we know the value of $y$, we can substitute it back into the expression for $x$ to find the value of $x$:

x = \frac{2 \cdot 15 - 9}{3} = \frac{27}{3} = 9

Since we want the larger of the two numbers, the answer is 15


Related Questions

Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​

Answers

Answer:

345 - 40% = 207$

Step-by-step explanation:

(345 - 30%) - 15% = 205.3 (Better deal)

Answer:

30% off and additional 15% at the register

Step-by-step explanation:

Deal 1

$345 × 40% = $138

$345 - $138 = $207

Deal 2

$205.30

2. 10+ 2 + 3 x 5 - 3​

Answers

Your answer would be 24


Madelyne made 2 liters of fruit punch for her party. Her brother
drinks 500 milliliters before the party. How many milliliters of punch
does she have left?
A. 1.5 liters
B. 15 milliliters
10. Cassandra needs 2 meters of string
C. 150 milliliters
D. 1,500 mililiters
centimeters of string do

Answers

Answer: D 1,500

Step-by-step explanation:

Because there is 2,000 milliliters in 2 liters, so if we do 2,000 - 500 we get 1,500 left

Answer:

Both A and D

Step-by-step explanation:

Because 500 milliters is half of one liter which makes the total 1.5 liters or 1500 mililliters

the surface area of the pyramid is 85 square feet true or false

Answers

Answer:

kitchen table

Step-by-step explanation:

Can someone give me the answer plz.

Answers

Answer : 0.3 as it’s 6/20 :)

I'm trying to get this question but all i'm getting is links plz somebody answer my question i'm going to fail my I NEEED AN ANSWERRR
Use the table for 12–17.


In the table above, Mr. Maramonte

recorded the score each student in his

class earned on a recent math test.

12. What is the mean score for the students

in Mr. Maramonte’s class?

_______________________________________

13. What is the mean absolute deviation for

the scores to the nearest hundredth?

_______________________________________

14. What is the median score for the

students in Mr. Maramonte’s class?

_______________________________________

15. What is the mode of the data?

_______________________________________

16. Draw a box-and-whisker plot to display

the data.


17. What is the interquartile

Answers

I don’t know I’m so sorry but how are you today?

Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread??


NO FILE HOSTINGS
NO LINKS
NO POSTS
NO UNKNOWN FILES
NO UPLOADS TO OTHER FILES
I'LL REPORT IT IF YOU DO

Answers

Answer: 10 cups of flour

Step-by-step explanation:

15 1/2 cups of flour = 7 1/2 cups

7 1/2 ÷ 3 = 2 1/2

So, it takes 2 1/2 cups of flour to make one loaf of bread

If you want to make 4 loaves of bread, you multiply 2 1/2 × 4

2 1/2 × 4 = 10

It will take 10 cups of flour to make 4 loaves of bread.

Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.

Answers

Answer:

m > 21

Step-by-step explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 1: 13
O B. 3: 315
O C. :
OD. 1: 12
O E. : 13
O F. 13:3

Answers

Answer:

Step-by-step explanation:

we know that

In a  triangle

the ratio between the lengths of the two legs is equal to the tangent

so

therefore

the answer is

Option B

-------> could be the ratio

because is the value of the

Option C

------> could be the ratio

because is the value of the

Option E

-------> could be the ratio

because is the value of the

The options B, C and E giving the ratios are correct.

What are ratios?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,

Since, we know that,

In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.

so,

Tan 30° = 1/√3

Also,

√3 / 3 = 1/√3

3/3√3 = 1/√3

Hence, the options B, C and E giving the ratios are correct.

Learn more about ratio on:

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What is the scale factor from ABC to DEF?
A. 5 B. 1 C. 0 D. 10​

Answers

Answer:

b

Step-by-step explanation:

they both have 5 so we divide 5/5 and we get one.

Answer:

B. 1

Step-by-step explanation:

helppp pls i don’t get it

Answers

Answer:

what is the question i cant see the picture well

Step-by-step explanation:

what is the value of x?

Answers

Answer:

16

Step-by-step explanation:

8x-8 = 7x-8 (vert. opp. angles)

8x = 7x + 16

x = 16

Helpp!!! I’ll mark as brainlistt

Answers

Your answer is 78.5!

me prions for apples per pound are listed
in the table.
$2.99
$1.29
$1.89
$1.59
$0.99
What is the mean price of apples
per pound?
F $1.75
G $1.59
H $1.14
$2.00

Answers

Answer:

Its F $1.75

Step-by-step explanation:

Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer

Answer:

The Answer is H $1.14

Step-by-step explanation:

First You have to add both mean in the second column:

$1.29+0.99=$2.28

Then you have to divide the price that u given in the second column that u get after u add both the price :

$2.29/2=1.14

∴The mean price of apples per pound is $1.14

6 3/4 x 5 + 2 1/4 =?

Answers

Answer:

40

Step-by-step explanation:

if it’s wrong pls message i will try to fix my mistake <3

A rectangle is 13 feet long and 4 feet wide. Find its area.

Answers

Step-by-step explanation:

13 feet long

4 feet wide

13 + 4 = 17

feet long

feet wide

= feet wide

so 13 +14 = 17 feet wide

HELP ASAP NO LINKS PLEASE HELP​

Answers

the answer is D !!!!!!

the graph of a piecewise defined function is given. evaluate f(-2), f(0), f(1)

Answers

Answer:

D

Step-by-step explanation:

because when x = -2 on the graph the y is -2 (-2,-2)

when the x values is 0 the y value is 1 (0,1)

and when x is 1 the y value is 2. (1,2)

hope this helps. have a good day

In comparison to 2/3 where would 4/6be located
on a number line?
Acloser to 0
Bthe same point
C closer to 1
D at zero

Answers

I think the answer would be D at zero and the reason why is because

please help with this :D

Answers

Answer:

130°-85°=45°

x=45°

Hope it will help you

HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​​​​

Answers

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Help me please I need to get this right

Answers

Answer:

1. 12

2. 8

3. 3

Step-by-step explanation:

To find the first answer all you must do is:

2 x 3 x 2 = 12

You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.

2 x 2 x 2 = 8

Last, this time you do 1 x 3 x 1.

One for the one bread and cheese and three for the meat.

This equals to be 3.

Solve the following equation for x.

6x = 1.5

Answers

Answer:

x = .25

Step-by-step explanation:

6x = 1.5

Divide each side by 6

6x/6 = 1.5/6

Multiply the top and bottom by 10

x = 1.5*10/ (6*10)

x = 15/60

x = 1/4

x = .25

answer: x=0.25




work: 6x= 1.5

6x/6 = 1.5/6

simplify = 6 divided by 6 = 0
1.5 divided by 6 = 0.25

0.25 is the answer

In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8

2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2

Answers

5/6, 1/3 hope this helps :))

Im normally good at alg ish but im confused

Answers

Answer:

The problem is telling you to find g ( f ( x ) )

Since we know that f(x) is square root of x, we can put the function this way.

g(√x)

Then, we use  √x as our x in our g(x) function.

You plug in  √x for x and you solve.

(√x ) ^2 is just x.

Finally the answer is

x-3

hope this helps :)

Step-by-step explanation:

Answer x=-3
Hope this helps!

-47 + -28 =
Please help

Answers

Answer:

your answer should be -75 ‎‎

the answer would be -75!

Can someone please read this?? I keep trying to but I get distracted! ​

Answers

Answer:

it translates to something i can't say on here ;)

Brainliest for correct answer

Answers

Answer:

one third of the volume

Step-by-step explanation:

find the equation of the line use exact numbers

Answers

Answer:

y = -³/2x + 3

Step-by-step explanation:

To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).

✔️Slope (m) = ∆y/∆x

Using two points on the line, (0, 3) and (2, 0),

Slope = (0 - 3)/(2 - 0) = -3/2

Slope (m) = -³/2

✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)

✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b

This:

y = -³/2x + 3

for brainliest please help

Answers

The value of x in given figure is 100°

What do you mean by the term Angle ?

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

Learn more about Right angle here

https://brainly.com/question/7116550

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