Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. ​What was the total amount of gasoline Michael used?

Answer:

17

Step-by-step explanation:

Order of operations are..

Parentheses ()

Exponents 10^2

Multiply *

Division /

Addition +

Subtraction -

8+10-2/2

first you would do -2/2=-1

then your problem is 8+10-1

8+10=18-1=17

Answer:

A) zeros are x = ½ or x = ½

B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)

>> Product of the zeros = Constant term/Coefficient of x²

Step-by-step explanation:

To find the zeros, we will equate the polynomial to zero.

Thus;

4x² - 4x + 1 = 0

Using quadratic equation, we can find the zeros.

x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)

x = (4 ± 0)/8

x = 4/8 and x = 4/8

Thus, zeros are x = ½ or x = ½

Now, to find the relationships between its zeroes and coefficients;

Sum of zeroes = ½ + ½ = 1

This is equal to -b/a = -(-4)/4 = 1.

Thus;

sum of zeros = (-Coefficient of x)/(Coefficient of x²)

Product of zeros = ½ × ½ = ¼

c/a = 1/4

This is equal to the product of the zeros.

Thus;

Product of the zeros = Constant term/Coefficient of x²

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

Answer: -1/4n-7<5 = -48

Answer:

3rd on 6 feet

Step-by-step explanation:

Answer:

understandable

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

Find area of rectangle:

Correct choice is A

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20/2 = 10

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

Answer:

63

Step-by-step explanation:

When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

Answer: 100 miles

Step-by-step explanation:

plug in 2 for h and multiply

50 by 2=100

Answer:

this looks hard i just need pints so that i can ask my question

Step-by-step explanation:

Answer

4 6/12 or 2 3/4 cups of total ingredients

Step-by-step explanation:

There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.

You'd want to make the denominators the same numbers so it would be easier to divide.

So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.

Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.

''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.

If I were to add that it would be 2 3/6.

BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".

What is 2 3/6 times 2 =  4 6/12 total.

If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct

Answer:

4 feet and 3 inches

Step-by-step explanation:

The measure of ladder in feet is 4.15.

Given that, a ladder is 51 inches tall.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 feet = 12 inches

So, in inches = 51/12

= 4.25 feet

Therefore, the measure of ladder in feet is 4.15.

To learn more about the metric conversion visit:

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Answer:

Step-by-step explanation:

A B

definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel

five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary

definition of a rectangle a quadrilateral with four right angles

rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle

five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles

definition of a rhombus a quadrilateral with four congruent sides

rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles

properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles

definition of a square a quadrilateral with four right angles and four congruent sides

properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent

definition of a trapezoid a quadrilateral with exactly one pair of parallel sides

definition of an isosceles trapezoid a trapezoid with the legs congruent

isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent

trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)

in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square

in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square

in these quadrilaterals, the diagonals are perpendicular rhombus, square

a rhombus is always a... parallelogram

a square is always a... parallelogram, rhombus, and rectangle

a rectangle is always a... parallelogram

a square is never a... trapezoid, because trapezoids only have one pair of parallel sides

a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides

these quadrilaterals always have all four congruent sides rhombus, square

these quadrilaterals always have all four right angles rectangle, square

these quadrilaterals always have perpendicular diagonals rhombus, square

if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees

the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles

the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other

the diagonals of a parallelogram... always bisect each other

Answer:

squares, rectangles, trapeziods (only if isoceles)

Step-by-step explanation:

Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.

Answer:

x = −5.5 i think

Step-by-step explanation:

Good Luck!

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

Answer:

6(3+8)

Step-by-step explanation:

6(3+8)= 6×3+6×8=18+48

this is the given value of A

The correct expressions for total area = 6x3 + 6x8 or 6(3+8)

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

In the given figure,

Area of one room = 18 square feet

Area of second room = 48 square feet

Now since we can see that,

the width of both rooms is same,

therefore,

we have 6 as common factor of 18 and 48

As, 18 = 6x3

      48 = 6x8

Total are of the given figure = 18 + 48

Since we know that,

Area of rectangle = length x width

Therefore,

area of both rooms  = 18 + 48

                                 = 6x3 + 6x8

                                 = 6(3+8)

Hence,

The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)

Learn more about the rectangle visit:

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Answer:

Answers are all in pictures.

Answer:

1. Dosis de la vacuna de Oxford

Step-by-step explanation:

Answer:

<B=<D

Step-by-step explanation:

This is becasue angle B is 90 degrees while angle D is 29 degrees.

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

Answer:

C

Step-by-step explanation:

S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)

taking the distance formula : sqrt(4^2 +7^2)

= sqrt(65) = 8.1 which is answer C

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer:

The tangent segments whose endpoints are the points of tangency and the fixed point outside the circle are equal. In other words, tangent segments drawn to the same circle from the same point (there are two for every circle) are equal.

Step-by-step explanation: