If a third plane could be drawn which contains both lines a and b, then lines a and b must be parallel. lines a and b cannot be parallel. lines a and b must be skew. lines a and b must be perpendicular.

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

Answer:

72

Step-by-step explanation:

It would take Charlie 72 minutes to run 9 laps. To solve the question find how long it takes to run 1 lap. Do this by dividing the number of minutes by the number of laps ran. For example, 16/2 equals 8, which means it took him 8 minutes to run one lap. To check you can divide the other values, like 32/4= 8 and 48/6 = 8. Then, multiply 8*9 it see how long it takes for him to run 9 laps. Therefore, the answer is 72 because 8*9=72.

Answer: 1/8 pounds of roasted almonds

Step-by-step explanation:

There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.

The almonds each friend will get will therefore be the 3/4 pack divided by 6:

= 3/4 ÷ 6

= 3/4 * 1/6

= 3/24

= 1/8 pounds of roasted almonds

When dividing by a number, you can instead multiply by the inverse of that number.

Given:

The equation of line is

[tex]4x+3y=12[/tex]

To find:

The points on y-axis which are at a distance of 4 units from the given line.

Solution:

The point lie on the y-axis. So, their x-coordinate must be zero.

Let the points are in the form of (0,k).

The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is

[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The given equation can be written as

[tex]4x+3y-12=0[/tex]

The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.

[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]

[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]

[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]

[tex]4=\dfrac{|3k-12|}{5}[/tex]

Multiply both sides by 5.

[tex]20=|3k-12|[/tex]

[tex]\pm 20=3k-12[/tex]

[tex]12\pm 20=3k[/tex]

[tex]\dfrac{12\pm 20}{3}=k[/tex]

Now,

[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]

[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]

Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].

Answer;;;;

explained

Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.

El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.

Answer:

90%

Step-by-step explanation:

20% = 18

1% = 0.8

100%=90%

Answer:

4/12

Step-by-step explanation:

Answer:

4480ft³

Step-by-step explanation:

formula: V=⅓Bh (B- base) (h-hight)

B=L×W, B=17.5×32= 560

h=24ft

V=⅓(L×W)h

V=⅓(560)24

V=⅓(13440)

13440÷3=4480ft³

Answer:

7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7

Answer:

dez q

Step-by-step explanation:

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that [tex]230\times 1.07 = 246.1[/tex], therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

a)539/847=

11×7²

____=7^(2-1)/11^(2-1)=7/11

7×11²

Step-by-step explanation:

(b)55/539=(5×11)/( 11 x 7²)=5/7²

Answer:

$11

Step-by-step explanation:

44/4 = 11

Answer:

11 was earned per hour

Step-by-step explanation:

44 divided by 4 is 11

Answer:

-4x-18

Step-by-step explanation:

pickle

Answer: -4x-18

Step-by-step explanation:

8x-16-12x-2=8x+-16+-12x+-2

Then you combine like terms.

8x+-16+-12x+-2= (8x+-12x)+(-6+-2)

Your answer will be -4x-18

I hope this helps

Answer:

Less

Step-by-step it is greater by 1.01

Answer:

Less than

Step-by-step explanation:

3 itself is already less than 4. How can 3.01 be greater than 4? When comparing positive numbers, compare from left to right. If the place of the first number is larger (for example comparing 10 with 100), than the one with the larger place is greater (tenth place will always be smaller than hundreds place).

If the first digit of both numbers are the same place (for example 10 and 20), than look at the value, which one is greater? Since 2 is greater than 1, we know 20 is bigger than 10. This holds true regardless of what follows the 2 or 1. For example, 20 is still bigger than 19.987

The only exception is when we are comparing 20 and 19.999 (where 9 is repeated). I will not be proving it here, but 0.999 (9 repeated) is said to be equal to one. Which means that 20 and 19.999 (9 repeated) are equal.

Answer:

x = 5

Step-by-step explanation:

Since the triangles have to be congruent (through SSS), we know that:

2x + 3 = 4x - 7

We simplify this to: 2x = 10

And then: x = 5

Step-by-step explanation:

-(3x+y=32)

3x-2y=17

-3x-y=-32

3x-2y=17

-3y=-15

y=5

3x+(5)=32

-5. -5

3x=27

x=9

Answer:

x=9

y=5

Answer:

x = 9

y = 5

Step-by-step explanation:

3x + y = 32...(1)

3x - 2y = 17....(2)

multiplying equation (1) by 2 we get,

6x + 2y = 64...(3)

Adding eq(2) and (3) we get,

6x + 2y = 64

+ 3x - 2y = 17

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

9x. = 81

therefore, x = 81/9

therefore, x = 9

substituting value of x in eq( 1)

3 * 9 + y = 32

27 + y = 32

y = 32 - 27

y = 5

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]

[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]

[tex] \tt \dashrightarrow 4y = 22[/tex]

[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]

[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]

[tex] \tt \dashrightarrow y = 5.5[/tex]

[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]

Hence, value of y = 5.5.

Answer: y = 5 ½ or y = 5.5

Step-by-step explanation:

4y - 7 = 15

Add 7 to both sides of the equation.

4y = 22

Divide both sides by 4

y = 5.5

Substitute y in the original equation.

4(5.5) - 7 = 15

22 -7 = 15

True.

Answer:

Step-by-step explanation:

7b + 8 < 100

subtract 8 from both sides

7b < 92

divide both sides by 7

b < 92/7 ≅ 13.1

Brian can buy at most 13 books.

Answer: You have to plug in the numbers.

So first let's plug in 13. 7*13+8=99

Now 15. 7*15+8=113

Now 18. 7*18+8=134

Lastly 20. 7*20+8=148

The answer is 13.

Step-by-step explanation:

Answer:

Step-by-step explanation:

   x | y

   2 | 10

   15| 15

21.5 | 17.5

Tax= $ 7,173.5

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5