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Serjik [45]
3 years ago
10

Evie and Sophie are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61/3 tons. How many

loads,will it take for Evie and Sophie to haul all of the cement in their pickup truck, which can carry 3/4 tons?
Mathematics
2 answers:
creativ13 [48]3 years ago
4 0

Answer: There are approximately 9 loads.

Step-by-step explanation:

Number of tons the cement weigh is given by

6\dfrac{1}{3}\ tons\\=\dfrac{19}{3}

Weight of each load = \dfrac{3}{4}\ tons

So, Number of tons is given by

\dfrac{\text{Weight of cement}}{\text{weight of each load}}\\\\=\dfrac{\dfrac{19}{3}}{\dfrac{3}{4}}\\\\=\dfrac{19}{3}\times \dfrac{4}{3}\\\\=\dfrac{76}{9}\\\\=8.4\\\\\approx 9\ loads

Hence, there are approximately 9 loads.

olganol [36]3 years ago
3 0

Convert the 6 1/3 tons into an improper fraction:

6 1/3 = 19/3 tons.

Divide 19/3 tons by 3/4 tons per load:

19/3 / 3/4 = 19/3 * 4/3 = 76/9 = 8.4, so it will take 9 trips.

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2x + 5y - 3x + 11y =
Nitella [24]

Answer:

− x + 16y

Step-by-step explanation:

2x + 5y − 3x + 11y

= 2x + 5y + − 3x + 11y

Combine Like Terms:

= 2x + 5y + − 3x + 11y

= (2x + − 3x) + (5y + 11y)

= − x + 16y

7 0
3 years ago
Rectangle EFGH is graphed on a coordinate plane with vertices at E(-3,5), F(6,2), G(4,-4), and H(-5,-1). Find the slopes of each
Shalnov [3]
Slope of Side EF- 3
 Slope of Side FG- 2/-6
Slope of Side GH- 3
Slope of Side HE- 2/6
3 0
3 years ago
(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

6 0
3 years ago
Read 2 more answers
What is the value of x ?
zimovet [89]
Each angle of the triangle added together must be equal to 180, so 53+45=98. 180-98=82. So the top angle is 82, the value of x has to be equal to 180-82 which equals 98
8 0
3 years ago
What is the approximate perimeter of a rhombus with the diagonals that measure 12 feet and 18 feet
Fynjy0 [20]

Answer:

The perimeter of a rhombus with diagonals of 12 feet and 18 feet would be 60 feet.

Step-by-step explanation:

Perimeter of a rhombus: S1 + S2 + S3 + S4 = answer. (S stands for side.)

12 ft. + 18 ft. + 12 ft. + 18 ft. = 60 ft.

7 0
3 years ago
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