1.98x=11.88 what does x equal?

Answer:  -16

Step-by-step explanation:

y + 7 = -9

-9 - 7 = -16

-16 + 7 = -9

Answer:

Hence, there is 5 gallons of fuel Roselyn needed for her journey.

Step-by-step explanation:

Since we have given that

Speed at which Roselyn wants to drive her car = 60 miles per hour

Time taken by her car = 1.5 hours

As we know the formula for "Distance-Speed " :

Her car has fuel efficiency = 15 miles per gallon

Number of gallons of fuel is given by

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Answer:

5 gallons.

Step-by-step explanation:

Roselyn wants to drive her car at a speed of 60 mph

Speed of car, S = 60 mph

She drives for 1.25 hours.

Time travel, t = 1.25 hours

Total distance travel = s × t

                                  = 60 × 1.25

                                  = 75 miles

The fuel efficiency of car is 15 miles per gallon.

[tex]\text{Number of gallon used}=\dfrac{\text{Total distance travel}}{\text{Fuel efficiency}}[/tex]

[tex]\text{Number of gallon used}=\dfrac{75}{15}[/tex]

                                      [tex]=5\text{ gallons}[/tex]

Hence, she needs 5 gallons.

Answer:

D) x² + 4x + 7

Step-by-step explanation:

2x + 6 + x² + 2x + 1

x² + 2x + 2x + 6 + 1

x² + 4x + 7

The equivalent expression for the given polynomial is x² + 4x + 7.

Option D is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

(2x + 6) + (x² + 2x + 1)

Removing the parenthesis.

2x + 6 + x² + 2x + 1

Adding the like terms.

4x + 7 + x²

x² + 4x + 7

Thus,

The final expression is x² + 4x + 7.

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Answer:

B is the correct answer

[tex]\frac{\sqrt[4]{9}.\sqrt{9}}{\sqrt[4]{9^5}}[/tex]

[tex]\frac{9^\frac{1}{4}.9^\frac{1}{2}}{9^\frac{5}{4}}[/tex]

[tex]\frac{9^\frac{6}{8}}{9^\frac{5}{4}}[/tex]

[tex]9^{\frac{6}{8}-\frac{5}{4}}[/tex]

[tex]9^\frac{-1}{2}[/tex]

Answer:

x<14/5

Step-by-step explanation:

expand

4x-6-10 < -6x+12

4x-16 < -6x+12

4x < -6x+12+16

4x < -6x+28

4x+6x < 28

10x < 28

x < 28/10

hope this helps

Answer:

[tex]\large\boxed{x\geq-2\to x\in[-2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]2(2x-3)-10\leq6(x-2)\qquad\text{use the distributive property}\ a(b+c)\\\\(2)(2x)+(2)(-3)-10\leq(6)(x)+(6)(-2)\\\\4x-6-10\leq6x-12\\\\4x-16\leq6x-12\qquad\text{add 16 to both sides}\\\\4x\leq6x+4\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\-2x\leq4\qquad\text{change the signs}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2[/tex]

Answer:

1 : 2

Step-by-step explanation:

Express the ratio as the number of oranges in each box, that is

box A : box B

= 18 : 36

Simplify the ratio by dividing both parts by 18, thus

ratio = 1 : 2 ← in simplest form

4x - 10y = 12

4x - 12 = 10y

y = (4x - 12)/10

y = 2x/5 - 6/5

Use b^2 - 4ac = 0.

Let a = 1

Let b = 7/12

(7/12)^2 - 4(1)c = 0

Take it from here.

Answer:

⅗

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{3 + 3}{8 + 2} = \frac{6}{10} = \frac{3}{5} [/tex]

I am joyous to assist you anytime.

Answer:

8 candle = $12.96

1 candle =($12.96/8)

= $1.62

package of 3 candles =3×$(1.62)

: =$4.86

Always write y in lower case

y/-7 = 10

y = 10(-7)

y = -70

Check:

Let y = -70

(-70)/-7 = 10

10 = 10

Done!

You know that .5 = 0.5 = 5/10 = 1/2.

Mixed number sought: -9_1/2.

Answer:

approximately = 26394.72

Convert between the 2 units.

Can i plz have the brainliest answer plz!!!!!!!!!!!

Answer:

I think itśn 5

Step-by-step explanation:

Answer:

X=10

Step-by-step explanation:

x+10-10=2x-10

x=2x-10

x-2x=2x-10-2x

-x= -10

-x/-1= -10/-1

x=10

Answer:

(f-g)(x)   =  -x^2 + 3x + 7

Step-by-step explanation:

Note that -g(x) = -x^2 + 6.

Thus, (f-g)(x) = f(x) + [-x^2 + 6]:  Add the following:

f(x)       =   3x + 1

-g(x)     = -x^2 + 6

---------     ------------------

(f-g)(x)   =  -x^2 + 3x + 7 (answer)

Answer: 15 hours

Step-by-step explanation: full time is 30 hours so if he worked 45 that’s 30+15=45 so 15hrs over time

The statement for which the inverse is false is A, because if one angle of a triangle equals 60°, the triangle is not necessarily equilateral.

The question asks for which statement the inverse is false. To answer this, we analyze each statement and its inverse:

A. If a triangle is an equilateral triangle, then one angle equals 60°. Inverse: If one angle of a triangle equals 60°, then the triangle is equilateral. This could be false if the triangle is not equilateral but one angle happens to be 60°.

B. If a triangle is a right triangle, then the other two angles add up to 90°. Inverse: If two angles of a triangle add up to 90°, then it is a right triangle. This is true, given the geometric principle that the sum of angles in a triangle is 180°.

C. If a triangle is an equilateral triangle, then each of the angles equals 60°. Inverse: If each angle of a triangle equals 60°, then it is an equilateral triangle. This is true, as by definition, an equilateral triangle has all angles equal.

D. If a triangle is a right triangle, then one angle equals 90°. Inverse: If one angle of a triangle equals 90°, then it is a right triangle. This is true, as by definition, a right triangle has one 90° angle.

Therefore, the statement for which the inverse could be false is A.

Answer:

rate of change is 5!!! :)

Step-by-step explanation:

Hope this helps!!! :)

The rate of change of the linear function in the graph is: 5

Rate of change problems can generally be approached using the formula R = D/T, or rate of change equals the distance traveled divided by the time it takes to do so.

However, in this case with coordinates, it is expressed as:

Rate of change = (y₂ - y₁)/(x₂ - x₁)

From the graph, we can take two coordinates which are:

(1, -1) and (2, 4).

Thus:

Rate of change = (4 - (-1))/(2 - 1)

= 5/1

= 5

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Answer:

Initial Number = x = 21

Number after it is decreased = y = 15

Total decrease form initial to the current number = z = x-y = 21-15 = 6

% of decrease = (z/x) * 100 = (6/21)*100 = 600/21 = 28.5714286 = 28.6 ( correcting it to 10th place)

Step-by-step explanation:

For 21 decreased to 15, the percentage decrease is 28.6%.

The percentage by which a number was decreased can be calculated by finding the difference between the original number and the decreased number, dividing that by the original number, and then multiplying by 100 to get the percentage.

Given number: 21

On reduction, number becomes: 15

To find the percentage decrease:

(21-15)/21 x 100 = 28.6%.

Sin 12 x cos 78 + cos 12 x sin 78

= sin 12 x cos (90-12) + cos 12 x sin (90-12)

=sin 12 x sin 12 + cos 12 x cos 12

=sin^2 12 + sin^2 12

=1

the answer is true it is a rational number

As a fraction, 2 is 2/1

Oh no, there is always an odd exponent. So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.

Answer:

B and C

Step-by-step explanation:

It can't be A because that would equal 5b.

For C, you multiply 2b by 2 and get 4b.

For B, you add b to 3b to get 4b.

For this sort of question you have to work backwards.

.

26 - 2 = 24.

24 / 4 = 6

.

The number would be 6

Final answer:

The dimensions of the rectangle with a perimeter of 44 m, where the length is 4 m more than twice the width, are 6 m for the width and 16 m for the length.

Explanation:

The perimeter of a rectangle is given as 44 m, and the length (L) is said to be 4 m more than twice the width (W). To find the dimensions, we can set up the following equations based on the properties of a rectangle:

Perimeter P = 2(L + W)

L = 2W + 4

Since the perimeter is 44 m, we can substitute the length expression into the perimeter equation:

44 = 2((2W + 4) + W)

By solving this equation for width (W), we get:

44 = 2(3W + 4)

44 = 6W + 8

36 = 6W

W = 6 m

Now that we have the width, we can determine the length using the expression for L:

L = 2(6) + 4 = 16 m

Therefore, the final answer for the width is 6 m and the length is 16 m.

A helium atom has a zero charge because the number of protons equals the number or protons. The positive and negative charges add together to reach zero.

Answer: Oriana was not correct, because she didn't line up the decimal points of the numbers [tex]9.298[/tex] and [tex]3.01[/tex]

Step-by-step explanation:

By definition, the "Difference" is the result of a subtraction.

In order to subtract the decimal numbers [tex]9.298[/tex] and [tex]3.01.[/tex], Oriana needed to apply these steps:

1. Write one number under the other. The decimal points must be lined up:

[tex]9.298 \\3.01-\\..........[/tex]

2. Since the decimal numbers must have the same number of decimal places, she needed to add zeros to the right side:

[tex]9.298 \\3.010-\\..........[/tex]

3. Subtract the numbers and put the decimal point in the result:

[tex]9.298 \\3.010-\\..........\\6.288[/tex]

 Oriana was not correct, because she didn't line up the decimal points. Her procedure was:

[tex]9.298 \\ 0\ 3.01-\\..........\\8.997[/tex]

Answer:

a&c

Step-by-step explanation:

because you can multiply to numbers and reach 0 or 2, but no number times another equals 7 and no number times 0 equals three (multiplicative identity of 0)