The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?

Answer:

Twice something means multiply by 2 , you have 80 feet of fencing all together so half of 80 is 40 . Then take 40 and times it by 2 . which comes out to 80 .

(Just copy and Paste)

Step-by-step explanation:

Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.

Step-by-step explanation:

For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.

Answer:

the first one is an 8 pack of glue sticks

the second one is 1 tape roll for .19

the third one is 100 pack of pencils for 4.88

the fourth one is a 25 pack of paper clips

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

set them up as a fraction.

21/49=x/56

cross multiply: 21*56=49x

1176=49x

divide both sides by 49

x=24

Answer:

28

Step-by-step explanation:

notice that when x=21 thats 3x7=21  

then when y=49  thats 7x7  

so when y=56  that's 8x7

notice there is a patter of 7 being used?   there are probably a lot of other patterns that would also work.. but.  if your class is working on multiplying by 7 , then this is probably the right pattern.  

from the above pattern, then,

x=4x7 when y=56

x=28

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(Blue)=\dfrac{x}{15}[/tex]

It is given that,

[tex]P(Green)=\dfrac{1}{5}[/tex]

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,

[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]

[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]

Multiply both sides by 75.

[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]

[tex]x=2\times 3[/tex]

[tex]x=6[/tex]

Therefore, the number of blue marbles in the bag is 6.

The total area of the composite figure made up of triangle, rectangle and square is; 106 m²

The area of the Triangle is;

A_t = (1/2) * (6 + 4) * 9

A_t = 45 m²

Area of Square;

A_s = 5 * 5

A_s = 25 m²

Area of Rectangle is;

A_r = 6 *  6

A_r = 36 m²

Total Area = 45 m² + 25 m² + 36 m²

Total Area = 106 m²

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Answer:

67

Step-by-step explanation:

Answer:

3x² - 8x - 3y

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

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Answer:

Im sorry if this is wrong.

a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short

Step-by-step explanation:

The degree of spin Sarah wants to = 360 degrees

Hence, 1 turn = 360 degrees

Sarah does a quarter turn

A quarter is equivalent to : [tex]\frac{1}{4}[/tex]

So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees

= 90 degrees.

The number of degrees short of her goal that Sarah was of her first attempt is  calculated as :

360 degrees - 90 degrees

= 270 degrees.

Therefore, Sarah was 270 degrees short of her goal at her first attempt.

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Answer:

what should we have to do here

I don't understand

Answer:

500$ is the answer....

Answer:

$60 and $560

Step-by-step explanation:

Prt= Interest

(500)(0.04)(3)= $60

A = P(1 + rt)

A = 500 (1 + 0.04(3))

A= $560

Answer:

John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?

Pretty simple, hopefully it is good enough, hope this helps!

A line's equation is a unified representation of all of the line's points.

Find the equation of the line pass though origin and slope 1/2 ?

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Answer:

35

Step-by-step explanation:

The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.

Hope this helps and pls do mark me brainliest if you can:)

Answer:

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are corresponding angles

∠6, ∠9, ∠2, ∠13, ∠4, ∠15, ∠8, ∠11 are alternate interior angles

∠1, ∠14, ∠5, ∠10, ∠3, ∠16, ∠7, ∠12 are alternate exterior angles

∠6, ∠13, ∠2, ∠9, ∠4, ∠11, ∠8, ∠15 are consecutive interior angles

sry i dont  know which are the consecutive exterior angles

but i hope you understood

<2 and <13 are alternate interior angles

Reason: At the opposite sides of the transversal and fall between

<4 and < 11 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<1 and <16 do not have any direct relationship

<3 and <12 are co-exterior angles

Reason: Same side of the transversal but each of them are outside the  parallel lines

<3 and <5 are co-interior angles

Reason: Same side of the transversal and fall between the two parallel lines

<14 and 16 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<1 and <3 are corresponding angles

Reason: They are at corresponding sides of the parallel lines to the transversal

<5 and <10 are alternating exterior angles

Reason: Alternate side of the transversal but each of them are outside the  parallel lines

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Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides

Let us solve the problem

∵ The lengths of the sides of a triangle are:

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

Answer:

C.

Step-by-step explanation:

0.1x − 16

Answer:

C. 472

Step-by-step explanation:

16x29.5=472

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

Answer:

c. 5 units left and 3 units up

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.

If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)

The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up

Let the smallest angle in a triangle be = x

Largest angle in a triangle = 55 + x

The middle angle in a triangle = 3x ( triple the measure of the smallest angle )

Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )

This can be written as :

= x + 55 + × + 3x = 180

Let us find each angle by solving the equation .

= x + 55 + x + 3x = 180°

= x + x + 3x + 55 = 180°

= 5x + 55 = 180°

= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )

= 5x = 125

= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 25

Using this let us find the measure of each angle .

Smallest angle = x = 25

Smallest angle = 25°

Middle angle = 3x = 3 × 25 = 75

Middle angle = 75°

The largest angle = x + 55 = 25 + 55 = 80

Largest angle = 80°

Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .

We have that the measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

From the question we are told that:

The measure of the middle angle  is triple the measure of the smallest angle

The measure of the largest angle is 55° greater  than the measure of the smallest angle

Let

[tex]\theta_1=Largest\ angle[/tex]

[tex]\theta_2=Middle\ angle[/tex]

[tex]\theta_3=Smallest\ angle[/tex]

Therefore

[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]

Generally, the equation for the angle of a triangle is mathematically given by

[tex]\theta_1+\theta_2+\theta_3=180[/tex]

Therefore

[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]

[tex]\theta_3=25 \textdegree[/tex]

Therefore

Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]

For [tex]\theta_1[/tex]

[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]

For [tex]\theta_2[/tex]

[tex]\theta_2=3*\theta_3[/tex]

[tex]\theta_2=3*25 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

in conclusion

The measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

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Answer:

x + y = 6

Step-by-step explanation:

9 = -2(-1) + b

9 = 3 + b

b = 6

y = -1x + 6

x+y =6

Answer:

$5.25

Step-by-step explanation:

Step 1:

10.50 / 6 = x / 3       Equation

Step 2:

6x = 31.5      Multiply

Step 3:

x = 31.5 ÷ 6      Divide

Answer:

x = 5.25

Hope This Helps :)

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

Answer:

Atomic mass unit-

It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.

Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.

1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.

Atomic mass of an element = mass of one atom of the element / 1 amu

Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.

For ex-

Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.

Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.

Average Atomic weight (Mass)-

“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”

Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.

Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100

= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100

Average atomic mass= 12.011 amu

Molar volume –

Molar volume of a substance is volume occupied by 1 mole of that substance .

Molar volume of solid or liquid = molar mass / density

Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.

Gram atomic mass(weight) or gram atom –

“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”

Ex –

mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm

Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.

Hence, Gram atomic weight of oxygen = 16 gm.

No. of gram atoms = mass of element in gm / atomic mass of element in gm.

Answer:

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

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Answer:

should be 1

Step-by-step explanation:

its constant meaning its an exact slope

and it runs through intersections every 1-1

so the answer is 1 because 1 over 1 in a fraction is still 1

the slope is positive because as you move to the right, the graph goes up

the slope is rise/run = 3/3 = 1

the slope of the line is 1

hope this helps!

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]

We have the final answer as

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation: