the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number

Answers

Answer 1

Answer:

The larger number is 4

Step-by-step explanation:

4 is the larger number and two is the smaller number..

Answer 2

Answer:

x=19y=38

Step-by-step explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

[tex]y = 2x[/tex]

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

[tex]y-12 = 7+x[/tex]

To solve for x  ;

Substitute 2x for y in the second equation

[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]

To solve for y

[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]


Related Questions

Find the value of x (trig)

Answers

According to the figure:-

P=13H=25

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Be brainly

calculate Z
z = 81
z = 30
z = 15
z = 20​
choose the only correct answer

Answers

Z = 15 ( Use Pitago’ Theorem)
Correct Answer - z=15 :)

cos5xcosx-sin5xsinx=??????????????????

Answers

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.

please help i need it thank you so much i will mark brainliest if correct.

Answers

Answer:

B. its B

Step-by-step explanation:

The answer is B! :)

What is the prime factorization of 1,100?

Answers

So, the prime factorization of 1,100 can be written as 22 × 52 × 111 where 2, 5, 11 are prime.

Can you answer this, please?

Answers

Answer:  C) 3

Explanation:

The degree of a single variable polynomial is the largest exponent, which in this case is 3.

Answer:

3

Step-by-step explanation:

The degree is the largest exponent in a polynomial

Therefore, the degree in 5x^2 - 4x + 2x^3 is 3

Kim is making cookies. She is using a recipe that calls for 1/4 cup of lemon juice. She has a 6 fl oz. bottle of lemon juice. There are 8 fl oz. of lemon juice in 1 cup. How many batches of cookies can she make?

Answers

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cup = 8 fl oz

x cup = 6 fl oz                         Cross multiply

6 oz * 1 cup = 8 oz x               divide by 8

x = 6 oz /8 oz = 3/4 cup

If kim needs 1/4 cup per batch then she will have enough for 3 batches of 1/4 cup each.

4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-​

Answers

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

Find the midpoint of the line segment with the given endpoints. (6.-3), (8.-2)​

Answers

Hey man, refer the attachment.

y=x^2-2x-5 vertex form

Answers

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

PLEASE HELP ME ITS SO CONFUSING

Answers

Answer:

Step-by-step explanation:

The first thing should always do is find a program that will show you what the graph looks like. Desmos is a free program that suits all graphing questions.

That will give you the answer (which I have labeled for you.)

First make x = 0

That gives you y = 0 + 4 = 4

The point is (0,4)

Now let y = 0

0 = -1/5 x + 4     Add 1/5x  to both sides

1/5 x = 4             Now multiply by 5

x = 5*4

x = 20

The point is (20,0)

You need one more point just to confirm your work. I chose x = - 5

When you do the calculation it comes out to y = 5

The point is (-5,5) which is labeled.

Need the awnser please

Answers

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90° , then

5x + 7 + 8x - 21 = 90 , that is

13x - 14 = 90 ( add 14 to both sides )

13x = 104 ( divide both sides by 13 )

x = 8

Then the measure of the angles are

5x + 7 = 5(8) + 7 = 40 + 7 = 47°

8x - 21 = 8(8) - 21 = 64 - 21 = 43°

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

let the angle be x then its complement is (90 - x) and

x = 2(90 - x) + 21

x = 180 - 2x + 21

x = 201 - 2x ( add 2x to both sides )

3x = 201 ( divide both sides by 3 )

x = 67

The measure of the angle is 67°

I dont get how to do this please help me
solve for the absolute value equation show your work

Answers

Step-by-step explanation:

5.

[tex] | \frac{x}{3} +{ \frac{2}{5} } | = 2[/tex]

[tex] \frac{x}{3} = \frac{6}{5} [/tex]

[tex]5x = 18[/tex]

[tex]x = \frac{18}{5} [/tex]

and

x/3=-12/5

x=-36/5

find the smallest number that should be multiplied to 3993 to make it perfect cube
[tex]cube \: and \: cube \: root \: [/tex]

Answers

Answer:

First, let us prime factorise the given number

3993 = 3×11×11×11

Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.

So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)

So, the answer is 3

At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?

Answers

Answer: 7.5 days or 7 days (round down)

Step-by-step explanation:

STEP ONE: Find the total number of food in 5 days

150 students

5 days

150 × 5 = 750 unit of foods

In another word, there is enough food for 750 students in one day.

STEP TWO: Find the days this amount of food would last for 100 students

750 unit of food

100 students

750 ÷ 100 = 7.5 days

7.5 (round down) = 7 days

**Disclaimer** Rounding down to 7 days means that these food are enough for all 100 students for a whole day. If keeping 7.5 days, this would mean either the students would not be full, or there would only be half of the student body could get food. From my knowledge, I would round down. HOWEVER, this all depends on the rules that you would apply in mathematics.

Hope this helps!! :)

Please let me know if you have any questions

A studio charges a sitting fee of 25$ plus 7$ per each portrait sheet ordered. Write an expression that can be used to find the total cost to have photographs taken. Then the cost of purchasing twelve portrait sheets.

Answers

Hi

let's call X number of photo ordered.

So total Cost  is  C(x) = 7X+ 25

Il let you calculate for X = 12 . Have fun

which expression are equivalent to the given expression
y^-8 y^3 x^0 x^-2

Answers

Answer:

y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5

ok i tried searching up the problem and how to solve it but didn`t come up with much.

i don`t know if this changes anything, but I noticed that some of these answers are opposites

ex (from the sequence you gave me in the comments below)                                      : y^-24, x^-2, y^-5, y^24, x^2,  y^5

maybe thats what it meant by matching the expressions?

again, sorry if this wasnt much help i have a small brain DD::

Determine whether the graph is the graph of a function.
Yes or no.

Answers

i'm pretty sure it is a function!
if you put a vertical line on any point of the function, it does not touch the vertical line in two different places at all! i hope this helps :)

Given that f(x) = 5(7)*, find f(4)

Answers

F(x)=20 that is the answer

Help please and thank you (Algebra 1)

Answers

Hi ;-)

[tex](-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}[/tex]

John had $200 in his bank account. He made a purchase at the grocery store that was $1.50 more than he had in his account. Select the point o
the number line that represents the balance of his bank account after buying groceries.

Answers

Answer: on the number line put -1.50 (1 and a half (1 1/2))

Step-by-step explanation:

$1.50 more than his account is $200.

the balance should be $-1.50

on the number line put -1.50

Find the smallest number which is when divided by 25,30and75 leavrs remainder.

Answers

Answer

you cant have a remainder bigger then your divident

Step-by-step explanation:

Answer:

The Lowest common multiple of 25, 30 and 75 is 150.

order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16

Answers

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

help needed urgently pls​

Answers

Answer:

The sum of the larger and smaller number is 15.

Step-by-step explanation:

Let x = smaller number

Let y = larger number

Set up a system of equations.

2y - x = 21

2y + x = 27

Add the two equations together to cancel out x

4y = 48

Divide both sides by 4

y = 12

Plug value into either equation to find x

2(12) - x = 21

24 - x = 21

x = 3

12 + 3 = 15

Write 4/33 as a decimal step by step please

Answers

Answer:

0.12121212121212

Answer:

0.12121212...

Step-by-step explanation:

4÷33

How to calculate the distance between two runners?? Ex) A finish 100m in 10.93 sec, and B finish in 10.49 sec, by how many meters did B won?? (Pls help me)

Answers

Answer:

The average speed of A is

100m ÷ 10. 93s = 9.14m/s

The average speed of B is

100m ÷ 10. 49s = 9. 53m/s

The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s

The speed that B is faster than A is

0. 42m/s × 10. 49s = 4. 40m

So, B won by 4. 40m

Step-by-step explanation:

A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?

Answers

Answer:

14 Sq ft

Step-by-step explanation:

9×9=81

5×5=25

81-25=56

56÷4=14

How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1

Answers

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

What is -4 - 6?? ………….

Answers

[tex] - 4 - 6 \\ taking \: ( - ) \: common \\ - (4 + 6) \\ - (10) \\ - 10 \: \: is \: your \: answer[/tex]

Answer: -10

Step-by-step explanation:

Find the measure of the given angle.

Answers

Answer:

angles of half a circle is 90

its 90 degrees

Answer:

90°

Step-by-step explanation:

the triangle is inside a circle and  touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle

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