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3 years ago

10. The ratio of boys to girls in a party is 6:5. Then 8 boys leave the party and the ratio of boys to girls is

Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:

4 boys 5 girls

8 boys 10 girls

12 boys 15 girls

16 boys 20 girls

Etc.......

Brainiest plz :)

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Which system of linear inequalities Is represented by this graphed solution?

SashulF [63]

Answer:

y ≥ 3x - 1

y < $-\frac{1}{2}x+2$

Step-by-step explanation:

Let the equation of the solid line passing through (x', y') given in graph is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of the solid line =

m = $\frac{3}{1}$

m = 3

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = 3x - 1

Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,

y ≥ 3x - 1

For the dotted line,

Slope of the line (m) = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-2}{4}$

= $-\frac{1}{2}$

y-intercept (b) = 2

Equation of the dotted line → y = $-\frac{1}{2}x+2$

Since, shaded (grey color) area is below the dotted line,

Inequality representing the solution area will be,

y < $-\frac{1}{2}x+2$

7 0

3 years ago

You need a quart of water but you only have a measuring cup. How many times do you need to fill the cup in order to get a quart?

larisa86 [58]

You need to fill the cup up 4 times since there are 4 cups in a quart.

6 0

4 years ago

Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3

Zigmanuir [339]

Answer:

P(x) = $x^{4}$ - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = $\sqrt{3}$ , x = - $\sqrt{3}$

Then the factors are (x - 2), (x + 2), (x - $\sqrt{3}$ ), (x + $\sqrt{3}$ )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - $\sqrt{3}$ )(x + $\sqrt{3}$ ) ← expand in pairs using FOIL

= (x² - 4)(x² - 3) ← distribute

= $x^{4}$ - 3x² - 4x² + 12 ← collect like terms

= $x^{4}$ - 7x² + 12

6 0

3 years ago

What is 938 written in standard form?

Furkat [3]

Answer:

$9.38 \times 10^{2}$

Step-by-step explanation:

All numbers in scientific notation or standard form are written

$m \times 10^n$ ,

where m is a number between 1 and 10.

8 0

3 years ago

Read 2 more answers

Rose and Andrew are financing 128,000 to purchase a condominium. They obtained a 15 year fixed rate loan with a rate of 5.05%. T

anzhelika [568]

Amount Financed(P) = $ 128,000

Time = 15 year

Rate of interest= 5.05%

Amount after 15 years translates to,

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{5.05}{100})^{15}\\\\ =128,000 \times (1.0505)^{15}\\\\=128,000 \times 2.0938\\\\=268,009.890$

Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

Cost of four points = 268,009.890 - 259,713.0404

= $8296.8496

3 0

3 years ago