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3 years ago

Chose 1 answer: A. 5.4 B. 5-4 C. 4/5 D. 5/4

Mathematics

1 answer:

umka2103 [35]3 years ago

8 0

Answer:

D. 5/4

Step-by-step explanation:

A. 5.4 can't be 'cause the shade did not reach 5 on number line.

B. 5 - 4 = 1 can'e be 'cause it pass 1.

C. 4 / 5 = 0.8 can't be 'cause its less than the shade.

D. 5 / 4 = 1.25 correct

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What are the solutions to 16x^2-12x=54? Select all the apply.

lesya692 [45]

Answer:

-3/2 or 9/4

Step-by-step explanation:

16x^2 - 12x = 54

Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.

16x^2 - 12x - 54 = 0

Dividing both the sides by 2, we get,

8x^2 - 6x - 27 = 0

Now, we use factorization method,

8x^2 + 12x - 18x - 27 = 0

or, 4x (2x + 3) - 9 (2x + 3) = 0

or, (2x + 3) (4x - 9) = 0

Now, 2x + 3 = 0; or, 4x - 9 = 0

2x = - 3; or, 4x = 9 (changing the sides)

or, x = - (3÷2); or, x = (9÷4)

Therefore, the solution set for x is either - 3/2 or 9/4

4 0

4 years ago

Find the length of diagonal HJ. Round to the nearest hundredth.

Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ $x_{1}=-4$ and $x_{2}=5$

∴ $y_{1}=3$ and $y_{2}=-3$

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = $\sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}$

∴ HJ = $\sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665$

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0

3 years ago

Which of the following options have the same value as 30\%30%30, percent of 818181?

Nataly_w [17]

Answer:

Option B is correct = $0.3 \times 81$

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) $\frac{30}{100}\times 81 \times 100$

(B) $0.3 \times 81$

(D) $\frac{3}{10}\times 81 \times 10$

(E) $30 \times 81$

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

30% of 81 = $\frac{30}{100} \times 81$

= $\frac{3}{10} \times 81$ = $0.3 \times 81$

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

$\frac{30}{100}\times 81 \times 100$ = $30 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

$0.3 \times 81$

This matches with our answer, so this option is correct.

Option (C) is given;

$0.03 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

$\frac{3}{10}\times 81 \times 10$ = $3 \times 81$

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

$30 \times 81$

This doesn't match with our answer, so this option is not correct.

6 0

4 years ago

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression

butalik [34]

To find the answer to this, you have multiply both expressions by each other. To do this, you have to multiply each term in the first expression by each term in the second expressions. This yields the following: 3x^4-9x^3-3x^2+5x^3-15x^2-5x+10x^2-30x-10. Combing like terms and simplifying gives the final expression: 3x^4 - 4x^3 - 8x^2 - 35x - 10

3 0

3 years ago

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How many milliliters are equal to 4 liters?

Brut [27]

Answer:

4000 millilitres

Step-by-step explanation:

6 0

3 years ago

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