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3 years ago

One number is four times another. the greater number is xx. write an expression for the lesser number.

1 answer:

8 0

xx/4=y Y is the lesser number. xx is the greater number. Since xx is four times y, you need to divide xx by four to find y. To find xx, you would need to multiply y times four, and the resulting expression would be 4y=xx.

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What is the total number of pages in the e-book

Dafna1 [17]

Answer:

Step-by-step explanation:

If 75 percent is 180 pages, we need to find the amount of pages the remaining 25 percent of the book has and add that to 180 pages because 75+25 = 100. 75/3 is equal to 25.

75:180 =

25:60.

By dividing the ratio, we found out that if Logan read 25 percent of his book, he would have read 60 pages.

180 + 60 = 240.

The total number of pages is 240

3 0

3 years ago

E bisects line segment df. df=2y, and ef=8y-3. find de, ef, and df.

Usimov [2.4K]

1/2DF = EF

1/2(2y) = 8y - 3

Multiply 1/2 * 2y.

y = 8y - 3

Subtract 8y from both sides.

-7y = -3

Divide both sides by -7.

y = 3/7

Plug 3/7 for y into DF and EF.

DF: 2(3/7) = 6/7

EF: 8(3/7) - 3 = 24/7 - 3 = 3/7

EF = DE because they are bisected, so DE = 3/7

8 0

3 years ago

Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no

Reika [66]

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is $x-y=0$ and $x+y=8$ .

Step-by-step explanation:

The given is,

$x-y=0$ ...............................(1)

$x+y=8$ ...............................(2)

Step:1

Solution can be obtained by Elimination method,

Equation (1) is multiplied by (-1) ( Eqn (1) × -1 )

$-x+y=0$ ..............................(3)

Substrate the equation (1) and equation (3),

$-x+y=0$

$x+y=8$

( - )

$(-x-x)+(y-y)=(0-8)$

$(-2x)=-8$

$-2x = -8$

we can cancel the minus because it is available in both sides,

$2x=8$

$x = \frac{8}{2}$

x = 4

From the value of x, Equation (2) becomes,

$x+y=8$

$4+y=8$

$y = 8-x$ (Value of y in terms of x)

Where, x = 4

$y = 8-4$

$y =4$

Step:2

Check for solution,

$x+y=8$ .....................................(2)

Substitute the values of x and y,

4 + 4 = 8

8 = 8

Result:

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is $x-y=0$ and $x+y=8$ .

5 0

3 years ago

NJ Transit raises its train fees. Snooki wants to visit her parents which used to cost $28 but they increased the fares by 15%.

Romashka [77]

Answer: 32.20$ Train Fee

Step-by-step explanation:

15% of 28 is 4.20... 4.20 will be added to the current Train Fee

28.00$

+ 4.20$

32.20$

Final result: The Train Fee will be 32.20$

4 0

2 years ago

Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the Pithagorean theorem:

$h^{2}=y^{2} +d^{2}$ (7)

Isolating $h$ and writing with the known values:

$h=\sqrt{y^{2} +d^{2}}$ (8)

$h=\sqrt{(19.017 ft)^{2} +(119.017 ft)^{2}}$ (9)

$h=125.80 ft$ This is the distance between the kite and the house

3 0

3 years ago