I need help with a math problem

Answer:

The first thing to do is translate the sentence into mathematical notation.

"no more than" means "less than or equal to" which is written as ≤

"seven less than a number" means we are subtracting 7 from a number. We don't know what the number is, so we can use a variable (like n) for the number. So "seven less than a number" becomes n - 7.

The whole thing becomes 12 ≤ n - 7.

To solve for n, we can add 7 to both sides.

19 ≤ n.

19 is less than or equal to n, which means the smallest (minimum) value of the number is 19.

We could also do it without an inequality:

If 12 is 7 less than a number, then the number is 19, because 19-7=12. If we chose a smaller number, like 18, then 7 less than 18 is smaller than 12, which is not allowed (12 is no more than 7 less than the number). So the smallest possible value of the number is 19.

Let the number be p.

Next, "seven times p" can be written like so:-

[tex]\pmb{7p}[/tex]

This expression is less than 18:-

[tex]\bigstar{\boxed{\pmb{7p < 18}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

12,200

Step-by-step explanation:

Answer: if that is easy why don't you do it anyways it's x=2(y−6)

Step-by-step explanation: y=

2

1

​

x+6

Swap sides so that all variable terms are on the left hand side.

2

1

​

x+6=y

Subtract 6 from both sides.

2

1

​

x=y−6

Multiply both sides by 2.

2

1

​

2

1

​

x

​

=

2

1

​

y−6

​

Dividing by  

2

1

​

 undoes the multiplication by  

2

1

​

.

x=

2

1

​

y−6

​

Divide y−6 by  

2

1

​

 by multiplying y−6 by the reciprocal of  

2

1

​

.

x=2y−12

SOLVE FOR Y

y=

2

x+12

​

Answer:

$253.5

Step-by-step explanation:

195 x .3 = 58.5

58.5 + 195 = $253.5

Answer:

Diego has 7

Step-by-step explanation:

So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7

Answer:

Ok if Susan has $21 and She has 3 times as much money as Diego.

That means the equation is 21 divide by 3.

So that means Diego has $7.

Step-by-step explanation:

Step-by-step explanation:

1) x+13+90 = 180

or, x = 180 - 103

    x = 77

2) x+74+90 = 180

or, x = 180 - 164

    x = 16

3)  x+62+45 = 180

or, x = 180 - 107

    x = 73

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

Answer: 4 (4x + 7)

Step-by-step explanation:

4 ( 4x + 7)

4 is the greatest number divisble by both 16 and 28 so 4 is factored out of the equation

Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Answer:

8.25 min

Step-by-step explanation:

1600 m / 5.5 min = pace

2400  /  (1600 / 5.5 ) = 8.25 min

Answer:

A. in Step 3

Step-by-step explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.

Answer:

A . In Step 3.

Step-by-step explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Answer:y=4+x

Step-by-step explanation:

You are adding gallons not *,/,-,. So it's y=4+x.

The required equation is y = 4 + x. The correct answer would be an option (A).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Jayne stopped for gas before embarking on a road trip. There were already 4 gallons of gas in the tank.

As per the question, the required equation would be as:

y = 4 + x

This equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x. The total amount of gasoline in the tank, y, is equal to the number of gallons that she put in the tank, x, plus the 4 gallons that were already in the tank.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

Answer:

176.6 dm^2

Step-by-step explanation:

See attached image.

Answer:

I think that the answer is 56

Answer:

A: (8x-5y)(x-y)

B: -(3s-5r)(4s+7r)

Step-by-step explanation:

Explanation is in photo.

~Hope thsi helps~

Answer:

a) (x - y)(8x - 5y)

b) (-4s - 7r)(3s - 5r)

Step-by-step explanation:

Hope this helps

Answer:

A= 314.159 m2

Step-by-step explanation:

Simple Give Brainliest Please

Answer:It's 46.2

Step-by-step explanation:

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

Answer:

1. 15:00

2. 20:10

3. 14:20

4. 14:45

5. 17:45

Step-by-step explanation:

Answer:

15.9375

Step-by-step explanation:

Just divide the number of miles over the number of gallons.

Answer:

F(5)=11.25

Step-by-step explanation:

I'm like 80% sure this is right, and I hope it helps.

First I did 9/4 which equals 2.25. and that would be F(1)

then added 2.25 to 9 which equals 11.25

multiplying 2.25 by 5 would also equal 11.25.

I did 5 because, on a number line, 5 comes after 4.

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

Answer:

C. 28

Step-by-step explanation:

According to the provided figure :

The measure of the angle EFG equal to the measure of the angle EFH

Which means 2(x + 2) = 60

2(x + 2) = 60

Then

2x + 4 = 60

Then

2x = 60 - 4

Then

2x = 56

Then

x = 56/2

Then

x = 28

Note that √((1 - x)/x) is defined only as long as 0 < x ≤ 1.

Consider a right triangle with reference angle θ such that

[tex]\cot(\theta) = \sqrt{\dfrac{1-x}x}[/tex]

In other words, on an appropriate domain,

[tex]\theta = \cot^{-1}\left(\sqrt{\dfrac{1-x}x}\right)[/tex]

In such a triangle, you would find that

[tex]\sin(\theta) = \sqrt x[/tex]

so f(x) reduces a bit to

[tex]f(x) = \cos\left(2 \tan^{-1}(\sqrt x)\right)[/tex]

Now consider another triangle with reference angle ɸ such that

[tex]\tan(\phi) = \sqrt x \implies \phi = \tan^{-1}(\sqrt x)[/tex]

In this triangle, you would find

[tex]\cos(\phi) = \dfrac1{\sqrt{1+x}}[/tex]

Recalling the double angle identity for cosine, it follows that

[tex]f(x) = \cos(2\phi) = 2 \cos^2(\phi) - 1 = \dfrac{1-x}{1+x}[/tex]

Differentiating with respect to x yields

[tex]f'(x) = -\dfrac2{(1+x)^2}[/tex]

while

[tex]f(x)^2 = \dfrac{(1-x)^2}{(1+x)^2}[/tex]

It follows that

[tex]f'(x)(x-1)^2 - 2f(x)^2 = 0[/tex]

so B is the correct choice.

Answer:

it's obtuse angle...

mark me brainliest

= Obtuse triangle

 (a triangle in which one of the interior angles measures more than 90° degrees.)

Answer:

Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.

__________________________________________________________

Ask me in the comments box.

Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.

Answer:

option D

Step-by-step explanation:

Distribute (-9.25) to 2n and (-3). When we multiply (-9.25) and 2n, we get -18.5n and when we multiply (-9.25) and (-3) we get 27.75.

-9.25(2n - 3) - 8n = -9.25*2n - (-9.25) *3 - 8n

                            = -18.50n +  27.75 -8n

                            = -18.5n - 8n + 27.75

Combine like terms. Here (-18.5n) and (-8n) are like terms

                            = -26.5n + 27.75