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2 years ago

Manny makes the following purchases at the store:

Mathematics

1 answer:

erik [133]2 years ago

3 0

1. 32.65+3(14.89)+39.99=117.31
2. 117.31*0.10=11.73
3.117.31-11.73=105.58
4. 105.58*1.08=144.03

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Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3

katen-ka-za [31]

Answer:

6 divided by 3/5 is 10

Step-by-step explanation:

I don't know how to do the number line, sorry.

6 0

3 years ago

Based on the data in the table, how many members would

bezimeni [28]

Answer:

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

5 0

3 years ago

1) Determine the discriminant of the 2nd degree equation below:

Aleksandr-060686 [28]

$\LARGE{ \boxed{ \mathbb{ \color{purple}{SOLUTION:}}}}$

We have, Discriminant formula for finding roots:

$\large{ \boxed{ \rm{x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }}}$

Here,

x is the root of the equation.
a is the coefficient of x^2
b is the coefficient of x
c is the constant term

1) Given,

3x^2 - 2x - 1

Finding the discriminant,

➝ D = b^2 - 4ac

➝ D = (-2)^2 - 4 × 3 × (-1)

➝ D = 4 - (-12)

➝ D = 4 + 12

➝ D = 16

2) Solving by using Bhaskar formula,

❒ p(x) = x^2 + 5x + 6 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5\pm \sqrt{( - 5) {}^{2} - 4 \times 1 \times 6 }} {2 \times 1}}}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm \sqrt{25 - 24} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 5 \pm 1}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = - 2 \: or - 3}}}$

❒ p(x) = x^2 + 2x + 1 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{ {2}^{2} - 4 \times 1 \times 1} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm \sqrt{4 - 4} }{2} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - 2 \pm 0}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = - 1 \: or \: - 1}}}$

❒ p(x) = x^2 - x - 20 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 1) \pm \sqrt{( - 1) {}^{2} - 4 \times 1 \times ( - 20) } }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{ 1 \pm \sqrt{1 + 80} }{2} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{1 \pm 9}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = 5 \: or \: - 4}}}$

❒ p(x) = x^2 - 3x - 4 = 0

$\large{ \rm{ \longrightarrow \: x = \dfrac{ - ( - 3) \pm \sqrt{( - 3) {}^{2} - 4 \times 1 \times ( - 4) } }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm \sqrt{9 + 16} }{2 \times 1} }}$

$\large{ \rm{ \longrightarrow \: x = \dfrac{3 \pm 5}{2} }}$

So here,

$\large{\boxed{ \rm{ \longrightarrow \: x = 4 \: or \: - 1}}}$

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5 0

2 years ago

Read 2 more answers

Choose all expressions that are equal to 15.02. it dosent show elementary school but I'm in 5 grade so can someone help me pleas

8090 [49]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.

galben [10]

Answer:

D. $1.95

F. $3

Step-by-step explanation:

dimes: x + 2

quarters: x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes: x + 2 = 5 + 2 = 7

quarters: x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes: x

quarters: 2x

x + 2x = 15

3x = 15

x = 5

dimes: x = 5

quarters: 2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

5 0

2 years ago