Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?

Answers

Answer 1

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7


Related Questions

45 is what percent of 500?
Help

Answers

45 is 9% of 500
Hopefully I helped ☺️

Your friend has n pennies. You have 29 pennies. You and your friend have a total of 40 pennies. Which equation could be used to find n?

Answers

Answer:

40-29=n

Step-by-step explanation:

You have 29 in total yall have 40

so to find ur friends we subtract

Answer:

Step-by-step explanation:

your pennies + your friends pennies = the total number of pennies between you two

so the equation would be :

29 + n = 40

(im not sure if you wanted it solved for n but here is the solution just in case)

29 + n = 40

n = 40 - 29

n = 11

What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.​

Answers

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

PLEASE HELP!! NO LINKS!!

Answers

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Which graphs shows I(-3,-1)

Answers

I’m not sure but maybe the second one

Answer:

Option 3  (lower left)

Step-by-step explanation:

Someone help me with this pls

Answers

Answer:

y^6  or  y^13/y^7

Step-by-step explanation:

A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT

Answers

Answer:its D 8 -4 = 4

Step-by-step explanation:

The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help

Answers

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2


[tex]1 + 1[/tex]
im just happy to boost points​

Answers

The answer to this math question is 2

WILL GIVE BRAINLIEST
write the slope intercept form of the equation with the given characteristics. slope = 4; passes through (-12,9)

Answers

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57


Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.

A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry

Answers

Answer:

A

Step-by-step explanation:


Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4
ANSWER ASAP PLEASE!!

Answers

y=-9x-4

Slope intercept form uses the formula, y=mx+b, where m is the slope and b is the y- intercept.

I hope this helps. Have a great day!

Answer:

Y=-9x-4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. M is the slope and b is the y-intercept. All you need to do is plug in the numbers. I hope I helped. :>

Help please I might fail…

Answers

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!

List two pairs of alternate interior angles and write them as congruence statements.​

Answers

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong

Answers

The Greatest Common Factor is 12x^2

Need help with school please help

Answers

Answer:

26

Step-by-step explanation:

The triangle equals 180 degrees the two measurements we already have is 90 degrees (the right angle) and 64 degrees.

90+64=154 and 180-154=26.

So 26 is your answer because 90+64+26=180

Hope this helps!

Mahmoud is working out the height, h metres, of a tower

BT which stands on level ground.

He measures the angle TAB as 25°.

He cannot measure the distance AB and so he walks 80 m

from A to C, where angle ACB = 18° and angle ABC = 90°.

Calculate

Answers

Answer:

24.72 m

11.53 m

Step-by-step explanation:

Horizontal distance AB can be obtained from △ABC

From trigonometry :

Sin18° = opposite / hypotenus

Sin18° = AB / 80

AB = 0.3090169 * 80

AB = 24.72 m

The height BT, of tower from △ABT

From trigonometry :

Tan25° = opposite / Adjacent

Tan25° = h / 24.72m

h = Tan25 * 24.72

h = 11.527

h = 11.53 m

Hence, height of tower BT = 11.53 m

hello please help i’ll give brainliest

Answers

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

Please help! I will give Brainliest!

Answers

Answer:

A. 44/625

Step-by-step explanation:

There are 25 marbles total. To first calculate the probability of picking a yellow marble first can be represented as 11/25, the probability of picking blue is 4/25. We multiply these to figure out the probability of finding a yellow marble and then a blue one.

11/25 x 4/25 = 44/625

Here is a rectangular prism. 2.4 in 1.5 in 8 in
1. What is the volume of the prism?​

Answers

Hello!

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

need to know the answer

Answers

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

What are two numbers that multiple to -64 and add to -12

Answers

Answer:

-16,4 are the two numbers

what is the mean of 3 6 11 7 4

Answers

6.2 is the correct answer!3 + 6 + 11 + 7 + 4 = 3131 ÷ 5 = 6.2

How many 2-digit numbers are multiples of 5 but not 4?

Answers

Answer:

14

Step-by-step explanation:

The numbers you are describing can end in 5. But there are others as well. They are  t = 10 + 20*n where n goes from 0 to 4. So if n is 4 that means that t = 4*20 + 10 = 80 + 10 = 90.

Solution

15 25 35 45 55 65 75 85 95 are all divisible by 5 but not  4

10 30 50 70 90                     are all divisible by 5 but not 4

A doctor compiles a numbered list of all his 350 patients. He selects every 25th patient to receive a survey after
choosing to randomly start with the seventh name on the list. Which statement correctly identifies and justifies
whether the scenario represents an SRS?
O This represents an SRS because the sample was selected with a chance process.
O This represents an SRS because there were no restrictions placed on the sample group.
This does not represent an SRS because each individual chosen does not have an equally likely chance of being
chosen.
O This does not represent an SRS because each group of patients chosen does not have an equally likely chance
of being chosen.

Answers

Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.

Answer:

the answer is D. This does no represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen

Step-by-step explanation:

Find the height of a right triangle with a hypotenuse of 15 feet and a base of 12 feet.

Answers

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)

Answers

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

Brainliest. Brainliest WHO WANTS A BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

1. x > -25

2. x > -16

3. x > -2

4. x [tex]\geq[/tex] 10

Give brainliest

can i have help please im not smart lol

Answers

Answer:

w + 1.3 = 2.7

Solve for b.
- 28 – 6b= 8

Answers

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————- ★ ————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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