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4 years ago

The ratio of two numbers is 5/4 and the first number is 7 more

Mathematics

2 answers:

Makovka662 [10]4 years ago

8 0

I would say 35/28 mabey......

vlada-n [284]4 years ago

4 0

In this case, the numbers would be 5*7 and 4*7 which is 35 and 28 respectively

You might be interested in

When c=3 and d=7 21c + 2d - |-11|d

NeX [460]

Answer:

Step-by-step explanation:

21(3) +2(7) - 11(7) because the absolute value of -11 is 11

63+14-77

8 0

4 years ago

Plz help I have no idea how to answer it

saveliy_v [14]

5. Answer: see explanation

Step-by-step explanation:

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0 and x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0 then p = -4m and q = 3m²

3p² = 3(-4m)² 16q = 16(3m²)

= 3(16m²) = 48m²

= 48m²

3p² = 48m² = 16q ⇒ 3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

Step-by-step explanation:

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

Bigger non-shaded Δ: L = 12-x, w = 10 ⇒ $A = \dfrac{10(12-x)}{2}$
Smaller non-shaded Δ: L = x, w = x ⇒ $A=\dfrac{x(x)}{2}$

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

$\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}$

Area of ΔBEF:

$\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18$

5 0

3 years ago

Tristen walked 13 1/4 hours in May and June. In May he walked 6 4/6 hours. How many hours did he walk inJune

valina [46]

Answer:

6 7/12 hours in June

Step-by-step explanation:

Find the answer to this question by subtracting 6 4/6 hours from the total 13 1/4 hours:

13 1/4 hours is equivalent to 12 5/4 hours (we borrow '1' from 13 1/4).

Thus, we have

12 5/4 hours Note that the LCD of 5/4 and 4/6 is 12. Thus

- 6 4/6 hours we have

12 15/12 hours

- 6 8/12 hours

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

6 7/12 hours

Tristen walked 6 7/12 hours in June.

7 0

3 years ago

Can someone help me in this plssss I really need it

kompoz [17]

Answer:

$\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}$

Step-by-step explanation:

Your expression is

$\sqrt [3] {-54x^{5}y^{6}}$

Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

$\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}$

$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

6 0

4 years ago

Find the measure of the arc or angle indicated

ycow [4]

Step-by-step explanation:

Let O be the center of the circle

We have Angle YOW = 125°

and Angle WOX = 121°.

Therefore Angle YOX = 360° - 125° - 121° = 114°.

(Sum of angles around a point is 360°)

Since Angle at Center = 2 * Angle at Circumference,

Angle YWX

= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)

6 0

3 years ago