Describe the slope of the line.

Answer:

Option 4 from the top down: -2.4 ≤ -2.40

Step-by-step explanation:

If looked at without regard for their amount of significant digits, we can state that:

-2.4 = -2.40

Thus, it is true that

-2.4 ≤ -2.40

As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.

Answer:

5/8

Step-by-step explanation:

there is 8 total and 5 of them are basketballs

Answer:

No, 29 is prime

Step-by-step explanation:

Answer:

A. 30÷6 = 5

24÷6=4

=4/5.

Step-by-step explanation:

sssssssssssssssssssssss

Answer:

cy+d to the middle of the problem

Answer: 1/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-6-(-5)=-6+5

         =-1

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

Answer:

The answer is 60 and 80

Step-by-step explanation:

Answer:

they will need 2 gallons of punch

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.

likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

[tex]20 \div 10[/tex]

which equals 2

To find our water melon we will multiply it by 2

[tex]71 \times 2[/tex]

which equals 142

She will have 142 watermelons

Answer: -7 on the y-axis

Step-by-step explanation:

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Step-by-step explanation:

We need to break up the given expression into two separate fractions so that when they are added together, we will get the original expression.

Note that the denominator is made up of two factors, [tex](2x - 1)[/tex] and [tex](x^2 + 1).[/tex] But note that the 2nd factor is a 2nd order polynomial so as a rule, the numerator of the fraction containing this factor must be an (n - 1)-order polynomial, where n is the order. With that in mind, we can write the general form of the partial fractions as follows:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{Ax + B}{x^2 + 1} + \dfrac{C}{2x - 1}[/tex]

[tex]\:\:\:\:=\dfrac{2Ax^2 + Bx - Ax - B + Cx^2 + C}{(2x - 1)(x^2 + 1)}[/tex]

Here, we combined the two fractions to form the equation above. Next, we compare the numerators on either side. Note that we satisfy the equality if we impose the following conditions:

[tex]2A + C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(1)[/tex]

[tex]2B - \:A = 1\:\:\:\:\:\:\:\:\:\:\:\:\:\:(2)[/tex]

[tex]-B + C = 7\:\:\:\:\:\:\:\:\:\:\:\:\:\:(3)[/tex]

To find the values of the constants A, B and C, we need to solve this system of equations. We start by multiplying Eqn(3) by 2 and then adding it to Eqn(2) to get

[tex]-A + 2C = 15\:\:\:\:\:\:\:\:\:\:\:\:\:\:(4)[/tex]

Then, multiply Eqn(1) by -2 to get

[tex]-4A - 2C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(5)[/tex]

Add Eqn(4) to Eqn(5) and we will get

[tex]-5A = 15 \Rightarrow A = -3[/tex]

Now that we know the value of A, we can use this in Eqn(2) to get

[tex]2B - (-3) = 1 \Rightarrow B = -1[/tex]

Next, to solve for C, we use the value of A in Eqn(1) to get

[tex]2(-3) + C = 0 \Rightarrow C = 6[/tex]

Therefore, the given expression can be written as

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

As a check, let's combine the two fractions together:

[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]

[tex]= \dfrac{6x^2 + 6 - 6x^2 - 2x + 3x + 1}{(2x - 1)(x^2 + 1)}[/tex]

[tex]= \dfrac{x + 7}{(2x - 1)(x^2 + 1)}[/tex]

As expected, we got the original expression.

Answer:

x=10

Step-by-step explanation:

4(2x+9) +2(4x-8) = 180 >> sumpplementary angles .

16x = 180 -36+16

16x=160

x=10

Answer:

60

Step-by-step explanation:

Perimeter = 2l + 2w

57x2 = 114

234 - 114 = 120

120 / 2 = 60

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

[tex]-2 \dfrac 5{12} - \left( - 10 \dfrac 89 \right)\\\\\\=- \left(2 + \dfrac 5{12} \right) + \left(10 + \dfrac 89 \right) \\\\\\=8 + \dfrac 89 - \dfrac 5{12}\\\\\\=8+ \dfrac{32}{36} - \dfrac{15}{36}\\\\\\= 8 + \dfrac{17}{36}\\\\\\= 8 \dfrac{17}{36}[/tex]

Answer:

Galaxies are moving closer together as time progresses

Step-by-step explanation:

Let me know if this helps!

Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

Answer:

21 cupcakes

Step-by-step explanation:

6 = $7

18 = 6 x 3

18 = 7 x 3

18 = $21

Answer:

21

Step-by-step explanation:

We can use proportions to solve

6 cupcakes        18 cupcakes

------------------- = -----------------

7 dollars               x dollars

Using cross products

6x = 7* 18

6x =126

Divide by 6

6x/6 =126/6

x =21

Check the picture below.

well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

there you go the answer is in the picture

Answer:21 :)

Step-by-step explanation:

Answer: (4,5)

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

Answer:

a) 34

b) 17

c)46

Step-by-step explanation:

55-21 = 34

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