The Malcolms are taking a trip. Midville is 214 miles
from their home. Walesburg is 3 times as far.
How far is Walesburg from their home?

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

Step-by-step explanation: Subtract the numbers

8x^2+4-12=8x^2-8

Anaswer: 8x^2-8

If this wasn't the right answer sorry

Answer:

8x^2+4-12=64x+4-12

64x+4-12= 4(16x-3)

hope it helps!!!!!

Answer:

x = 15

Step-by-step explanation:

[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]

[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]

[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]

x = 15

Answer:

78

Step-by-step explanation:

50 - 24 = 26

26 x 3 = 78

Hope it helps...

Answer:

[tex]Number\ is\ \frac{3}{4}[/tex]

Step-by-step explanation:

Let the number be x

Subtract 1/2 from x = (x - 1/2)

Multiply 1/2 to the result = 1/2(x - 1/2)

The result is 1/8

That is,

            [tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]

Answer:

125.00

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Ali's age = x

Given that, Omar is 6 years younger than Ali

So, Omar's age = [tex]\large\bold{x - 6}[/tex]

✐ Omar's age in terms of 'x' is x - 6 years.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

62

Step-by-step explanation:

Answer:

3.2 days

Step-by-step explanation:

All you have to do is divide 8 by 2.5

8 ÷ 2.5 = 3.2

Answer:

Step-by-step explanation:

From the graph it passes through (-4,2) and (4,-2)

Consider (-4,2) as (x1,y1)

(4,-2) as (x2,y2)

OPTION C

Answer:

The answer is 9.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

This can be solved using Pythagoras theorem, which is a² + b² = c², in which c is the hypotenuse (the longest side) and a and b are the two other sides. This only works for right-angled triangles, which we can see it will work for this question as there is a right angle marked by a square.

To find x, we must substitute the values in so 6² + x² = 10², which simplifies to the following:

36+x²=100.

Then we must take away 36 from both sides, leaving x²=64. To find x, find the square root of both sides, leaving x=8

I hope this helps! ;)

which type of data is best displayed in a histogram?

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

C) The daily number of movie tickets sold in January.

Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

-7

Step-by-step explanation:

-2x-22=-8

-2x=-8+22

-2x=14

X=14/-2

X=-7

Answer:

A. Independent

Step-by-step explanation:

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

112

Step-by-step explanation:

Answer:

4 is the range of the function

Answer:

x+6 and x+7

Step-by-step explanation:

Given the quadratic equation;

x^2 + 13x + 42

Factorize

x^2+13x+42 = 0

x^2 + 7x + 6x + 42 = 0

x(x+7)+6(x+7) = 0

(x+6)(x+7) =0

Hence the required binomials are x+6 and x+7

Answer:

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

Answer:

[tex]Find~x:-[/tex]

[tex]4x-37=49[/tex]

[tex]4x=49+37[/tex]

[tex]x=21.5[/tex]

[tex]Find ~y:-[/tex]

[tex]y/5=4x-3[/tex]

[tex]y=5(4*21.5-3)[/tex]

[tex]y=415[/tex]

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

Answer: 30,000

Step-by-step explanation:

1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.

2. The monthly payment is $1,587.

3. The total amount of the monthly payments is $191.

a.  From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.

Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $19.57 x (3,200 / 1,000)

= $62.624

= $63.

b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.

We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $24.06 x (66,000 / 1,000)

= $1,586.76

= $1,587.

c.  From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.

We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $31.34 x (6,100 / 1,000)

= $191.234

= $191.

Learn more about Monthly Payment here:

https://brainly.com/question/26192602

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Answer:

13 and 14

Step-by-step explanation:

Method I - use calculator to find the square root

√193 = 13.892443989449805

Two closest integers

13 and 14

Method II - figure the squares closest to 193

13² = 169

14² = 196

Answer:

The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5

Answer:

the slope for line RK is

m = 2/9

Step-by-step explanation: