Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.

Answer:

Y = 4x +2

substitute Y into the second equation

-6x +2[4x +2] =8

-6x +8x +4 =8

collect like terms

-6x +8x =8-4

2x=4

x=2

Substitute (x=2) into the first equation

Y= 4(2) +2

Y= 8+2

Y= 10

Answer:

7/16 of the shoes were either sandals or clogs.

Step-by-step explanation:

Find a CD, which is 16.

Because we multiplied the denominator, we multiply the numerator as well.

3/8 becomes 6/16.

Now, because both of the denominators are the same, we are free to add both of the fractions together.

6/16 + 1/16 = 7/16.

Because this fraction isn't reducible, the answer will be 7/16.

Answer:

x = 5.85

Step-by-step explanation:

Given that,

One angle = 26°

Middle angle = 90°

Third angle = 180-(90+26) = 64°

Height, H = 12

We need to find the value of x. Using trigonometry to find it such that,

[tex]\tan64=\dfrac{12}{x}\\\\x=\dfrac{12}{\tan(64)}\\\\x=5.85[/tex]

So, the value of x is equal to 5.85.

Answer:

5.9

Step-by-step explanation:

im doing this rn

Answer:

74.2

Step-by-step explanation:

First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.

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Answer:

No triangle possible since the lines need to attach, hope this helps :)

Step-by-step explanation:

Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

Answer:

188.5ft²

Step-by-step explanation:

Surface area of cylinder = 2πrh+2πr²

=2π3*7+2π3²

=42π+18π

=60π=188.495559215≈188.5ft²

Answer:

B

Step-by-step explanation:

I drew it out and triangle b is correct

Answer:

C) CA=40

Step-by-step explanation:

2y/(2y+4)=(2y+6)/4y

cross multiply

8y²=4y²+20y+24

4(2y²)=4(y²+5y+6)

divide both sides by 4

2y²=y²+5y+6

y²-5y-6=0

(y-6)(y+1)=0

So the answer must be either 6 or -1.  Since it can't be a negative number, it must be 6.

CA=2(6)+4+4(6)

CA=12+4+24

CA=40

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Answer:

62.33 degrees Fahrenheit.

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Answer:

3/9

Step-by-step explanation:

numerator:7-4=3/9

The subtraction of the the fraction 7/9 -4/6 results to 1/3.

Given Fraction:

7/9 - 4/9

To subtract fractions, have a common denominator.

In this case, both fractions already have the same denominator of 9,

Now, subtract the numerators as:

= 7/9 - 4/9

= (7 - 4)/9

= 3/9

By dividing both the numerator and denominator by 3 gives

3/9 = 1/3

So, the answer to 7/9 - 4/9 as a simplified fraction is 1/3.

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Answer:

Step-by-step explanation:

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Answer:

m<A=68°

m<B=85°

m<C=112°

m<D=95°

Step-by-step explanation:

8z+14z-7=180

22z=187

z=8.5

m<A=8z=8x8.5=68

m<B=10x=10x8.5=85

m<C=14z-7=14x8.5-7=112

m<D=180-85=95

Answer:

In the last diagram the object is being acted upon by forces not adding up to zero.

Step-by-step explanation:

(Assuming force 1=force 2 in terms of magnitude)

Let forces acting towards the left = -1

Let forces acting toward the right = +1

In the first diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the second diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the third diagram, force1 is acting towards the right and force2 is acting towards the left:

Total force = force1+force2=+1-1=0

In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:

Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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Answer:

Step-by-step explanation:

The side opposite to the angle 30 degree in right triangle is half of hypothenuse.

(highest) -(lowest)

17-10

=7

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

Answer:

The answer is approximately 3.

Step-by-step explanation:

You add all the numbers and then divide by 10

The approximate hold time for all customers who call the customer service department is 3 minutes.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

For the given situation,

The department receives about 850 calls each hour.

The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.

The approximate hold time for all customers who call the customer service department is calculated by mean as

⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]

⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]

⇒ [tex]\frac{34}{10}[/tex]

⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]

Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.

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9514 1404 393

Answer:

  g = 12

Step-by-step explanation:

You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:

  (g -12)² = 0

The only solution is the one that makes the squared term equal to zero:

  g -12 = 0

  g = 12

_____

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

Here, we have a=x, b=-12.

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

Answer:

8 or D

Step-by-step explanation:

I say this because AD is 8 so im thinking it should be parallel and so the same would be for the opposite, AE.