The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
integers.

Answers

Answer 1

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

[tex]x+y=33[/tex] (The sum of two integers is 33)[tex]x=6+2y[/tex] (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

[tex]x+y=33\\x=33-y[/tex]

Plug the first equation into the second

[tex]33-y=6+2y[/tex]

Combine like terms

[tex]33-6=2y+y\\27=3y\\9=y[/tex]

Therefore, the smaller integer is 9.

3) Solve for the other integer

[tex]x+y=33[/tex]

Plug in y (9)

[tex]x+9=33\\x=33-9\\x=24[/tex]

Therefore, the larger integer is 24.

I hope this helps!

Answer 2
first we called x is the smaller number
next we have larger number is 2x+6
=>we have:2x+6+x=33
<=>x=9
so we have the larger number is 33-9=24

Related Questions

below is a table showing the investment and the investment period of ​

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Answer:

hey. pls complete your question.

PLEASE SOLVE!! Using

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using sin∆ = 5/13

= 0.3846

therefore ∆ = 22.62

buggy’s bugs buggles buuuugles

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nice, have a good day <3

A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)

Answers

i don’t know how to explain it, but the answer is 2
the answer to this question is 2

Hello! I was wondering if anyone can help me out on this question?
Function 1 is defined by the following table.
r: 0, 4, 5, 7
y: -3.5, -1.5 -1, 0

Function 2 is defined by line q (see attached image)

Which of these functions has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope

Answers

Answer:

Function 2

Step-by-step explanation:

Function 2 or line q would have a greater slope

Please mark as brainliest answer

Lisa's shop sells 5 quarts of ice cream each day. How much is this in pints?

Answers

Answer:

10

Step-by-step explanation:

We know there are 5 quarts.

There are 2 pints for each quart.

This can be though of as a ratio of:

2 : 1

There are 5 quarts, which is 5 times bigger than the ratio of 1.

So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:

2*5 : 1*5

=

10 : 5

So for every 5 quarts there are 10 pints.

Hope this helps!

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?

Answers

Answer:

3/10

Step-by-step explanation:

1/10 + 1/5 =          need to get common denominators to add.

1/10 + 2/10 = 3/10

plz find the area of the red shape :)

Answers

66.7 cm^2

The width is 20/18 times longer
The height will also be 20/18 times bigger
The area will be 20/18 x 20/18 times bigger

96 sq meters
144 sq meters
84 sq meters
102 sq meters

Pls show work I get different answers from people every time

Answers

Answer:

84 sq meters

Step-by-step explanation:

First, divide the shape in 2 or more parts so that you can find it step by step

Divide this shape in three parts:

One part (blue): 2 m and 3 m rectangle

Second part (orange): 5 m and 12 m rectangle

Third part (red): 6 m and 3 m rectangle

(you can also see this below: in the pic there are three parts so you figure out that which is the correct value for the sides)

Now, find area of each shape by multiplying its values:

1st shape: 3 x 2 = 6

2nd shape: 5 x 12 = 60

3rd shape: 6 x 3 = 18

As you have the area of all the different shapes,

add all of them:

6 + 60 + 18 = 84 sq meters

I hope this helps :)

how many terms are in the following expression 9c+2d-8

Answers

The correct answer is 3 terms

9c, 2d, and 8 are all single terms because they can’t be combined with anything else in the expression

Hope this helps ;)

Find the distance between the points (6,5) and (4,-2). use of the graph is optional

Answer ? Anyone

Answers

Answer:

√53

Step-by-step explanation:

Distance between two points =  

√(4−6)^2+(−2−5)^2

√(−2)^2+(−7)^2  

= √4+49

=√53

= 7.2801

Hope this helps uwu

9514 1404 393

Answer:

  option 2: √53

Step-by-step explanation:

The distance formula is useful for this:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4-6)² +(-2-5)²) = √((-2)² +(-7)²) = √(4+49)

  d = √53

The distance between the given points is √53.

what is 1+544 please somone tell me or i wikl fail mah test qwq

Answers

Answer:555

Step-by-step explanation:

Answer:

545

Step-by-step explanation:

you are just adding one

544+1=


Please help.
A: 4/7
B: 3/7
C:5/7
D: 2/7

Answers

Answer:

D: 2/7

Step-by-step explanation:

The probability of an event x is how likely the event will occur. It is given as;

P(x) = number of expected outcomes / number of possible outcomes

Given:

Event A = The place is a city.

Therefore,

P(A) is the probability that the event A happens. i.e the probability that a place is a city.

P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city

Also,

The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e

P(A) + P([tex]A^c[/tex]) = 1

From the table,

P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e

P([tex]A^c[/tex]) = 2 ÷ 7

P([tex]A^c[/tex]) = 2/7

Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7

Rewrite the quadratic equation in the form y= a(x - h)2 + k.


y = 5x2 – 30.3 + 95


Y= ?


Answers

Y= 74.7

Lmk if this was right or not.

Which point is the center of the circle that contains the vertices of a triangle?

Answers

The circumcenter is the center of the circle that contains the vertices of a triangle

How to determine the point?

When a triangle is inscribed in a circle, the vertices of the triangle touch the circumference of the circle

A line drawn through the center of the circle and passes through each of the triangle vertex is its circumcenter.

Hence, the name of the required point is the circumcenter

Read more about circumcenter at:

https://brainly.com/question/14368399

#SPJ2

Answer:

B. The point of intersection of the perpendicular bisectors of the side

Step-by-step explanation:

definition of circumcenter as the previos question answered

The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.

Answers

Answer:

3/4 and -3/4

or

0.75 and -0.75

but there is no solution for

10 times the smaller number added to 6 times the larger number to get 3 as result.

the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).

therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).

it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.

Step-by-step explanation:

x + y = 0

10×x + 6×y = 3

=>

x = -y

10×(-y) + 6×y = 3

-10y + 6y = 3

-4y = 3

y = -3/4

=>

x = -y = -(-3/4) = 3/4

control :

10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3

12/4 = 3

3 = 3

correct

How to solve a problem.

Answers

a) [tex]\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C[/tex]

b) [tex]\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B[/tex]

help plssssssssssssssssssssssssssssss

Answers

Answer:

285 mi

Step-by-step explanation:

We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.

30*9.5 = 285

it’s indeed 285 mi
30*9.5= 285

HELP ME PLEASE!!!!!
The 2 questions is down below with the picture; please let me know.

Answers

Given:

1. 60 is the sum of 15 and Mabel's age.

2. Given equation is

[tex]-8(x+1)=-40[/tex]

To find:

1. The equation for the given situation.

2. Complete the two column proof.

Solution:

1.

60 is the sum of 15 and Mabel's age.

Let m be the Mabel's age. Then,

[tex]15+m=60[/tex]

Therefore, the required equation for the given situation is [tex]15+m=60[/tex].

2.

The complete two column proof is:

        Steps                                            Reasons

[tex]-8(x+1)=-40[/tex]                                   Given equation

[tex]\dfrac{-8(x+1)}{-8}=\dfrac{-40}{-8}[/tex]                                  Division Property of Equality

[tex]x+1=5[/tex]                                               Simplifying

[tex]x+1-1=5-1[/tex]                                   Subtraction Property of Equality

[tex]x=4[/tex]                                                     Simplifying

What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches

Answers

Answer:

A; 120 cubic inches

Step-by-step explanation:

Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:

[tex]V= 8*3*5\\V=120[/tex]

A. The volume of the rectangular prism is 120 cubic inches.

I hope this helps! Let me know if you have any questions :)

Find the area of the polygon shown. Enter the number into the box.
m 2
2 mi
10 mi
4 mi
12 mi
1
2

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the image of the polygon is not given.

I will answer this question with the attached image (similar to your question)

The attached polygon is a trapezoid of the following dimensions.

[tex]Height = 4ft[/tex]

Parallel sides

[tex]Side\ 1 = 4ft[/tex]

[tex]Side\ 2 = 4ft+1ft = 5ft[/tex]

So, the area is:

[tex]Area = \frac{1}{2} * (Side\ 1 + Side\ 2) * Height[/tex]

[tex]Area = \frac{1}{2} * (4ft + 5ft) * 4ft[/tex]

[tex]Area = \frac{1}{2} * 9ft * 4ft[/tex]

[tex]Area = 18ft^2[/tex]

Abigail is using blocks to build a tower. The blocks are 3 inches, 4 inches, and 8 inches tall. She has stack 3 blocks. How many different heights are possible for the tower?

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Possible tower heights using 3 blocks are ...

  {9, 10, 11, 12, 14, 15, 16, 19, 20, 24}

There are 10 different heights possible.

_____

Each block can be used 1, 2, or 3 times.

Using a 3 in block as the smallest, we have ...

  3+3+3 = 9

  3+3+4 = 10

  3+3+8 = 14

  3+4+4 = 11

  3+4+8 = 15

  3+8+8 = 19

Using a 4-in block as the smallest, we have ...

  4+4+4 =12

  4+4+8 = 16

  4+8+8 = 20

And ...

  8+8+8 = 24

The distance from place A to place B is 100 yards. What is this distance in terms of feet?


A. 100 ft.
B. 200 ft.
C. 250 ft.
D. 300 ft.

Answers

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

The answer is d because 3yrds=1ft so 3x100=300

Will mark Brainlest please answer. find the value of a,b.
,p,q from the equal order pairs​

Answers

Step-by-step explanation:

Question-1:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]

cancel 2p from the i equation to get a certain value of p:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]

now substitute the value of p to the second equation:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]

simplify parentheses:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]

cancel 1 from both sides:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]

divide both sides by 2:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]

question-2:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]

cancel out y from the second equation:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]

substitute the value of x to the first equation:

[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]

simplify:

[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]

divide both sides by 3:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]

substitute the value of y to the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]

Question-3:

by order pair we obtain;

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]

rearrange:

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]

subtract and simplify

[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]

substitute the value of q to the first equation:

[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]

make q the subject of the equation:

[tex] \displaystyle p = \frac{3}{4} [/tex]

hence,

[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]

Answer:

see above

............

5/6+3/9 in the simplest form


HELP PLSS

Answers

Answer:

1 1/6

Step-by-step explanation:

5/6 + 3/9

Simplify 3/9 by dividing the top and bottom by 3

5/6 + 1/3

Get a common denominator of 6

5/6 + 1/3 *2/2

5/6 + 2/6

7/6

Rewriting

6/6 +1/6

1 1/6

5/6 + 1/3 i think
5/6 can’t be simplified but 3/9 can so it’s 1/3 but if you have to add them, use 6 as the common denominator as 3 is a factor then do 1x3 = 3 so it’s simplified to 5/6 + 2/6 = 7/6

Find the coordinates of the points that are 20 units away from the origin and have a y-coordinate equal to −12.

Answers

9514 1404 393

Answer:

  (-16, -12), (16, -12)

Step-by-step explanation:

The given values (side length and hypotenuse) have the ratio ...

  12 : 20 = 3 : 5

This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...

  (-16, -12) and (16, -12)

Can someone help pleaseee

Answers

Answer:

Ŷ = 76.4064+5.4254X

0.786

Strong positive relationship

Score = 98

Step-by-step explanation:

Using technology, the linear model obtained by fitting the data is :

Ŷ = 76.4064+5.4254X

Where, slope = 5.4254

y = test score ; x = study time

The Correlation Coefficient obtained is 0.786 ; which depicts that there exist a strong positive relationship between the two variables.

Using the model; test score, if x = 4

Ŷ = 76.4064+5.4254(4)

Y = 98.108

Test score = 98

3 Alex is the manager of a hospital canteen.
He reviews the meals the patients choose.
On Monday there were 240 patients in total.
1/3 of these patients chose pasta.
3/8 of these patients chose beef stew. The other patients chose chicken.

How many patients chose chicken on Monday?​

Answers

70

Steps
1/3 +3/8= 17/24
24-17/24=7/24
7/24(240) ( 24 cancels 24,given you 1and 7 is multiplied by the 10 the answer is 70)

The number of patients chose chicken on Monday is 90.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, there were 240 patients in total.

1/3 of these patients chose pasta.

Number of patients chose pasta

= 1/3 ×240

= 60

3/8 of these patients chose beef stew.

Number of patients chose beef stew

= 3/8 ×240

= 90

Number of patients chose chicken

= 240-(60+90)

= 240-150

= 90

Therefore, the number of patients chose chicken on Monday is 90.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.​​

Answers

Task:

Draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers. You will be graded according to the rubrics provided. An example is provided as your guide.

Answer:

Zipper

Using grammatical signals in developing patterns of idea can be like a zipper; because it zips our ideas or combined some informations that we have into one which helps readers understand our message better.

What is Gramatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. Short story is one of written medium where we can find these signals.

Why Gramatical signals important?

Gramatical signals is important because they signal relationship between sentence by means of back reference through the using of pronominal forms, determiners, repetition of key words, ellipsis, parallelism, synonyms and superordination. In short, they signal the relationship between new sentences and the one before it and they are also the important writing devices in text construction.

_________

#LetsStudy

Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.

What are Grammatical signals?

Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.

Important's of Grammatical signals

Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.

In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.

Learn more about Grammatical signals;

https://brainly.com/question/10528558

Question attached please answer brainliest to best answer

Answers

Answer:

B

Step-by-step explanation:

Have a nice day :)

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