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3 years ago

Type the missing number.Hint: Use properties of multiplication

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

The missing number is 406.66

Step-by-step explanation:

Step 1: Use the distributive property of multiplication to find the missing number. Distributive property of multiplication is a(b + c) = (a × b) + (a × c)

Here, a = 9.8, c = 607.36

So the missing number, b = 406.66

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Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

You earned the following scores on four english tests: 96, 88, 74, and 76. The greatest score you can earn on a test is 100. Is

svetlana [45]

Answer:

Step-by-step explanation:

96+88+74+76=334/4=83.5

96+88+74+76+100=434/5=86.8

The average can't be higher than a 91%

5 0

2 years ago

Mason plays a game by flipping two fair coins. He wins the game if both coins land facing heads up. If Mason plays 200 times, ho

aev [14]

Answer:

Total no.of possible outcomes = 200 × 4 = 800

No.of favourable outcomes = 200 × 1 = 200

P (E) = no.of favourable outcomes / total no.of possible outcomes

= 200/800

= 1/4

7 0

3 years ago

Read 2 more answers

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

Write the inequality (without solving)

Lesechka [4]

Answer:

$2.15f+4.6n\leq 150$

Step-by-step explanation:

She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤

Each folder is $2.15, so you are going to multiply: 2.15 × f

Each notebook is $4.60, so you will multiply: 4.6 × n

You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.

Make the equation:

$2.15f+4.6n\leq 150$

:Done

6 0

3 years ago

Type the missing number.Hint: Use properties of multiplication ​

Type the missing number.Hint: Use properties of multiplication