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3 years ago

Change 7/5 to a whole number

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Write it as a mixed fraction 7/5 = 1 2/5

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

Factor 1/3 out of 1/3x−50/3

wlad13 [49]

Answer:

50 1/3

Step-by-step explanation:

3 0

3 years ago

Keli is buying pajamas for her five closest friends. Using the graph shown below, how much money will it cost her if she decides

Oksi-84 [34.3K]

Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

8 0

3 years ago

Paper rectangle ABCD is folded in such a way that the fold passes through point B, and so A coincides with point H where H ∈ CD.

aivan3 [116]

The answer is BC = 38.22 cm.

<u>Step-by-step explanation</u>:

We have, ∠BKD = 120° ,BK = 28 cm, Draw a perpendicular from point K on BC let it intersect at point M. In right angled ΔBMK, ∠BKM=30° and BK = 28 cm

sin30° = perpendicular/hypotenuse

1/2 = BM/BK

1/2 = BM/28

BM= 14 cm

Now , In right angled ΔBMK ,

cos30° = base/hypotenuse

√3/2 = MK/28

MK = 14√3 = 24.22 cm

KMCD is a square MK = MC = 24.22 cm

also, BC = BM + MC , putting values of BM & MC we get :

BC = 14 cm + 24.22 cm

BC = 38.22 cm.

5 0

3 years ago

razones y proporciones. un pelotero profesional ha bateado 14 imparables , en 40 turnos al bate . hallar la razón entre las vece

ElenaW [278]

Answer:

El pelotero ha bateado imparables en el 35% de sus intentos.

Step-by-step explanation:

Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:

14 / 40 = X

0.35 = X

0.35 x 100 = 35

Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.

5 0

3 years ago