The width of a painting is 4 inches less than the length , and the surface area is 320 square inches. Find the length.

Answer:

I've done this on Odyssey Ware and it's the second graph

Hope This Helps!      Have A Nice Day!!

Answer:

Step-by-step explanation:

This is an equilateral triangle, 3 equal sides and 3 equal angles (60°)

so angle C is 60°

you can solve qith an equation

8y - 4 = 60

8y = 60 - 4

8y = 56

y = 56 : 8

y = 7

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

check

8y - 4 = 60

(8 * 7) - 4 = 60

56 = 60 - 4

56 = 56

the answer is good

Final answer:

The probability of drawing a spade, putting it back, and then drawing another spade is 6.25%. This is calculated by multiplying the probability of drawing a spade twice with replacement.

Explanation:

The probability of drawing a spade from a standard deck of 52 cards is 13/52, since there are 13 spades in a deck. If you replace the card and reshuffle, the condition remains the same for the second draw.

Therefore, the probability of drawing another spade is also 13/52. To find the combined probability of two independent events, you multiply the probabilities of both events occurring.

Thus, the probability of drawing a spade, replacing it, and then drawing another spade is:

(13/52) × (13/52)

When you calculate that, you get:

= 169/2704

= 0.0625 or 6.25%

This means that there is a 6.25% chance of drawing a spade, replacing it, and drawing another spade on two consecutive draws from a standard deck of cards.

The cosine of the angle is Negative.

The sine of the angle is Negative.

The given angle's terminal side resides in the third quadrant.

In the first quadrant, all trigonometric ratios are positive.

In the second quadrant, only sine and cosecant are positive.

In the third quadrant, only tangent and cotangent are positive.

In the fourth quadrant, only cosine and secant are positive.

In the third quadrant, both sine and cosine of given angle are negative.

Thus, the cosine of the given angle is Negative and

the sine of the given angle is Negative.

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Answer:

C) 9

Step-by-step explanation:

well 45/5 would eqaul 9 exactly

To find out how many students will be on each of Mr. Andrews' 5 teams, divide the total number of students, 45, by the number of teams, which results in 9 students per team. C is correct.

To determine how many students will be on each team when Mr. Andrews divides his classroom of 45 students equally into 5 teams, you need to divide the total number of students by the number of teams. This is a division problem in mathematics.

Here is the calculation:

Write down the total number of students: 45.

Write down the number of teams: 5.

Divide the total number of students by the number of teams:
45  ÷  5 = 9.

So, there will be 9 students on each team, which corresponds to option C.

Answer:

you need to provide the statement

Step-by-step explanation:

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8  (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

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

x^4 -x^3 -4x^2 -3

2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

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

x^4 -x^3 -4x^2 -3

2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

if you need anymore help just ask and if you wondering i found another question which its the same one as this one so her it is

Answer:The numerator represents the total cost for renting the truck over a three-day period.

Step-by-step explanation:

The numerator of the rational expression represents:

x represent the number of miles driven during the rental period.

Also, the fixed charge of the truck when it is rented for a three day period is: $ 115

The charge per mile is: $ 0.83

This means when the car is driven x miles in three day period then the cost is: $ 0.83x

Total cost of the truck in the rental period is: 115+0.83x

This means that the  average cost per mile for a three-day period is :

Ratio of total cost of truck to the number of miles driven.

i.e.

[tex]Average\ cos\ per\ mile=\dfrac{115+0.83x}{x}[/tex]

Hence, the numerator represent Total cost of truck during the rental period.

Answer:

B

Step-by-step explanation:

To find the value of f(x) at x=-1, we substitute x=-1 and simplify.

[tex]f(-1)=\sqrt{3-(-1)}=\sqrt{3+1)} =\sqrt{4}  =2[/tex]

f(-1)=2.

Answer B.

Answer:

b

Step-by-step explanation:

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

Final answer:

To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation.  The estimated total number of animals at the zoo is 670

Explanation:

The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.

To estimate the total number of animals, you need to round each number to the nearest tenth:

Round 218 to the nearest tenth: 220

Round 454 to the nearest tenth: 450

By rounding, the estimated total number of animals at the zoo is 670.

Answer:

10.: B. C(n) = 0.75n - 0.5; $7.00

12.: A. 90 light bulbs

Step-by-step explanation:

10. One soda costs 0.75. n sodas cost 0.75n. Then you subtract the coupon amount, so you pay 0.75n - 0.5.

The cost function is:

C(n) = 0.75n - 0.5

The cost of 10 sodas is:

For 10 sodas, n = 10.

C(10) = 0.75 * 10 - 0.5

C(10) = 7.5 - 0.5

C(10) = 7

Answer: B. C(n) = 0.75n - 0.5; $7.00

12. b(n) = 6n

The number of chandeliers is n.

If n = 15, then you have:

b(15) = 6 * 15

b(15) = 90

Answer: A. 90 light bulbs

Answer:

 10.   B. C(n) = 0.75n - 0.5; $7.00

12 A. 90 lightbulbs

Step-by-step explanation:

10.  Cost of the purchase = number of cans * cost per can - coupon

We know the cost per can is .75 and the coupon is a one time coupon for .50

                            C(n)                = n * .75 - .5

If we let n=10 to buy 10 cans

C(10) = 10*.75 -.50

          = 7.50 - .5

          = 7.00  is the cost of 10 cans

12.  b(n) = 6n   where n is the number of chandeliers

                       b(n) is the number of light bulbs

If we have 15 chandeliers how many light bulbs do we need?

b(15) = 6*15 = 90

We will need 90 light bulbs

Answer:

Ohn has paid $5730 in first 20 installments

Step-by-step explanation:

As per the question Ohn payed the first installment =$100

Next month Ohn payed the installment = 1.1×$100

Similarly subsequent installment =1.1×1.1×$100

So we can write first 20 installments as

⇒100+100×1.1+100×1.1²+100×1.1³.........+100×[tex]1.1^{20}[/tex]

And we know in geometric series

1+x²+x³+...........[tex]x^{20}[/tex] = (1-[tex]x^{n-1}[/tex])÷(1-x)

Therefore sum of first 20 installments will be

⇒100(1+1.1²+1.1³............[tex]1.1^{20}[/tex] =(1- [tex]1.1^{20}[/tex])÷(1-1.1)

= 100(1-6.73)÷(-.1)

=100×5.73÷.1

= $5730

So Ohn has paid $5730

Answer:

12

Step-by-step explanation:

60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family

Final answer:

To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.

Explanation:

To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:

Number of cookies for her teachers = 60 x 4/5 = 48 cookies

Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:

Number of cookies for her family = 60 - 48 = 12 cookies

Answer:

The fourth graph.

Step-by-step explanation:

The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.

-3x  + 5y = 15

5y = 3x + 15

y   =  3/5x  + 3  is slope intercept form.

The slope is 3/5 and the y-intercept is at y = 3.

It is the fourth graph.

Answer: The quadrilateral used here is a trapezium.

It is a 3rd degree monomial, meaning it has only one term.

Hope I helped!

Assuming the system is composed of the equations y = 5x+7 and x = 8, then the answer is (8,47) which is choice A

To get this answer, we simply replace x in the first equation with 8, and then compute

y = 5x+7

y = 5*8+7 .... replace x with 8

y = 40+7

y = 47

So together x = 8 and y = 47 pair up to get us the solution (x,y) = (8,47)

After solving the equation by substitution method, the correct pair for x and y will be (8, 47). Hence, option A is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given data provided by the question,

The equation is,

y = 5x + 7

Substitute x = 8 in the equation,

y = 5 (8) + 7

y = 47.

So, after substituting the x=8 the value obtained for y is 47.

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Answer:

The interest is $1852

Step-by-step explanation:

We are given

down payment = $500

$299 per month for 48 months

per month installment =$299

total months =48

total amount paid = (per month installment)*( total months)

now, we can plug values

total amount paid is

[tex]=299\times 48[/tex]

[tex]=14352[/tex]

total amount paid is $14352

The cash price is $12,500.00

so,

interest = (total amount paid)-( cash price)

so, interest is

[tex]=14352-12500[/tex]

[tex]=1852[/tex]

Answer:

A conclusion cannot be made based on the given information.

Step-by-step explanation:

Take an example of such two triangles where we are given the information that two sides are congruent and an angle that is not enclosed is congruent. These two particular triangles may or may not be congruent. However, they either are or are not - that does not change in time, so the third answer  "Two two triangles are sometimes congruent" is non-sense. The only remaining and correct option is the fourth one: conclusion on congruency cannot be made.

Answer:

The answer The two triangles are sometimes congruent.

Step-by-step explanation:

Answer: 6 and -6

Step-by-step explanation:

6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.

The numbers 6 units from zero on a number line are -6 and 6. These numbers are at an equal distance from zero but in opposite directions, with -6 being on the left (negative side) and 6 on the right (positive side) of zero.

The numbers that are 6 units from zero on a number line are -6 and 6. Both of these numbers are at an equal distance from zero, but in opposite directions. The number -6 is to the left of zero, representing a negative value, and the number 6 is to the right of zero, representing a positive value.

Therefore, the correct answers are -6 and 6.

The numbers 12 and 3 mentioned in the question are not 6 units from zero; 12 is much farther than 6 units away, and 3 is closer than 6 units to zero.

Answer:

A

Step-by-step explanation:

First term = 6 + (1 -1)(-4) = 6 + 0 = 6.

2nd term = 6 + (2 - 1)(-4) = 6 + (-4) = 2.

a3 = 6 + (3 - 1)(-4) =  6 + (-8) = -2.

Its Choice A.

[tex]a_n=6+(n-1)(-4)=6+(n)(-4)+(-1)(-4)=6-4n+4=10-4n[/tex]

Put n = 1, n = 2 and n = 3 to the equation:

[tex]a_1=10-4(1)=10-4=6\\\\a_2=10-4(2)=10-8=2\\\\a_3=10-4(3)=10-12=-2[/tex]

Answer:

The bike will cost $108.75

Step-by-step explanation:

In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.

75% * $145 = $108.75

Answer:

5/8

Step-by-step explanation:

well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)

12/8 - 7/8 =  5/8    ( since both denominators are the same numbers you can simply subtract the numerator )

Answer:

(a)

[tex]40=1,2,4,5,8,10,20,40[/tex]

(b)

factor=5 can only hold it

(c)

Only one arrangement is possible

(d)

we can put 5 cans into all 8 shelves

(e)

[tex]40=8\times 5[/tex]

Step-by-step explanation:

We are given

an empty kitchen cabinet has 8 shelves

and each shelf can hold no more than 30 cans you want to arrange 40 cans in the kitchen cabinet

so that the same number of cans is on each shelf that you use

(a)

we can find all possible factors of 40

[tex]40=1,2,4,5,8,10,20,40[/tex]

(b)

Since, an empty kitchen cabinet has 8 shelves

so, one of factor of 40 must be 8

so,

[tex]40=8\times 5[/tex]

So, factor=5 can only hold it

(c)

Only one arrangement is possible

because there is only one such possible factor

[tex]40=8\times 5[/tex]

(d)

Since, we got

[tex]40=8\times 5[/tex]

So, we can put 5 cans into all 8 shelves

(e)

Since, there are 8 shelves

and we can put 5 cans on each shelves

so, possible arrangement is

[tex]40=8\times 5[/tex]

Answer:

(a) 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

(b) Factors: 5, 8, 10, 20

(c) 4, that is, the quantity of factors in (b)

(d) 5 cans in 8 shelves, 8 cans in 5 shelves, 10 cans in 4 shelves, 20 cans in 2 shelves.