The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer 1

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]


Related Questions

help me please someone

Answers

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

Solve for c.
c= -9 - 8c

Answers

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

Please help! WILL MARK BRAINLIEST

Answers

Answer:

50

Step-by-step explanation:

15 metres at a speed of 20 cm/s (answer in seconds) a ​

Answers

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST

If x = − 6, which number line shows the value of |x|?

Answers

Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

Is this graph proportional or non-proportional? How do you know?

Answers

Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)

Answers

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

can someone help me with this please:) ​

Answers

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

Evaluate g(x)=4−3x when x=−3, 0, and 5

Answers

Answer:

13, 4, and -11

Step-by-step explanation:

g(-3)=4+9=13

g(0)=4+0=4

g(5)=4-15=-11

please answer this for me!!​

Answers

Answer:

x = 40

y = 8

Step-by-step explanation:

3x-9 = 2x+31

3x-2x = 31+9

x = 40

4y+5 = 2y+21

4y-2y = 21-5

2y=16

y=8

HELP THIS IS VERY IMPAORTANT

Answers

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3[tex]x^{2}[/tex] - 6

x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 =  6

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

Answers

Answer:

8p -12

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

Will mark brainiest if right Is this function linear or nonlinear?

y=3x−5

Answers

Answer: This function is linear because it forms a straight line when graphed.

Would appreciate brainly <3

There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?

Answers

Answer:

704 students can fit in the cafeteria a day

At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?

Answers

Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

What are the solutions of y=x^2+5x-7

Answers

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].

Please help and no links!!!!

Answers

Answer: 18

Step-by-step explanation:

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

____x0.01 = 180.4932
what's the answer?

Answers

18049.32

180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right

need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Find the slope for the table.

Answers

Answer:

2

Step-by-step explanation:

as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

how do you subtract fractions with like numerators

Answers

Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

Answers

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

what does coplanar mean?

Answers

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?​

Answers

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

y+5 = -3/2(x-2) in slope intercept form

Answers

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]

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