3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3​

Answers

Answer 1

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:


Related Questions

100 POINTS
What is the best name of the solid that can be formed by this net?
A. cube
B. cylinder
C. rectangular prism
D. square prism

Answers

Answer: rectangular prism

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

Select all of the statements that are true, according to the box plots.

A. The weights of the pineapples in Crate 1 were the most variable.

B. The heaviest pineapple was in Crate 1.

C. The lightest pineapple was in Crate 1.

D. Crate 3 had the greatest median weight and the greatest IQR.

E. More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.

Answers

Answer:

The heaviest pineapple was in Crate 1.

More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.

Step-by-step explanation:E.

i don't have much time left could someone help me super quickly (trinomials) btw you could get extra 50 points from a previous question on my profile (only if you want) i would really appreciate if i could have help understanding things

Answers

Answer:

(a)  [tex](x-2)(x+4)[/tex]

zeros: x = 2, x = -4

vertex: (-1, -9)

(b)  [tex]-(x+2)(x+7)[/tex]

zeros: x = -2, x = -7

vertex = (-4.5, 6.25)

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]:

Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.

To find zeros of a factored quadratic in the form [tex](ax+b)(cx+d)[/tex]

Set each of the parentheses to zero and solve for [tex]x[/tex]

The midpoint between the two zeros is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.

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

Question (a)

Factored

Factor  [tex]y=x^2+2x-8[/tex]

[tex]ac=-8[/tex]  and  [tex]d+e=2[/tex]

[tex]\implies d=4[/tex] and [tex]e=-2[/tex]

Rewrite [tex]2x[/tex] as [tex]+4x-2x[/tex]:

[tex]\implies x^2+4x-2x-8[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x+4)-2(x+4)[/tex]

Factor out common term [tex](x+4)[/tex]:

[tex]\implies (x-2)(x+4)[/tex]

Zeros

[tex]\implies (x-2)=0\implies x=2[/tex]

[tex]\implies (x+4)=0\implies x=-4[/tex]

Vertex

[tex]\sf x-value=\dfrac{2+(-4)}{2}=-1[/tex]

[tex]\sf y-value=(-1)^2+2(-1)-8=-9[/tex]

Vertex = (-1, -9)

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

Question (b)

Factor  [tex]y=-x^2-9x-14[/tex]

[tex]ac=14[/tex]  and  [tex]d+e=-9[/tex]

[tex]\implies d=-7[/tex] and [tex]e=-2[/tex]

Rewrite [tex]-9x[/tex] as [tex]-7x-2x[/tex]:

[tex]\implies -x^2-7x-2x-14[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies -x(x+7)-2(x+7)[/tex]

Factor out common term [tex](x+7)[/tex]:

[tex]\implies (-x-2)(x+7)[/tex]

Factor [tex](-x-2):-(x+2)[/tex]

[tex]\implies -(x+2)(x+7)[/tex]

Zeros

[tex]\implies -(x+2)=0\implies -x-2=0 \implies x=-2[/tex]

[tex]\implies (x+7)=0\implies x=-7[/tex]

Vertex

[tex]\sf x-value=\dfrac{-2-7}{2}=-4.5[/tex]

[tex]\sf y-value=-(-4.5)^2-9(-4.5)-14=6.25[/tex]

Vertex = (-4.5, 6.25)

What is the approximate volume of the sphere shown?
r= 13 inches
o 527 cubic inches
o 7327 cubic inches
o 2,9297 cubic inches
0 2,1977 cubic inches
< Previous

Answers

Answer:

2,197 is D

Explanation:

4/3 * 3.14 * 13^3 =

2,197

find the volume please thanks

Answers

answer:

volume= lwh

= 20*12*8

= 1920 cm³

Allie has a round tablecloth with a radius of 2 meters. What is the tablecloth's circumference?

Answers

C=2 *pi* r
=2*3.14*2
C=12.56

Solve the equation by factoring. z2 – 6z – 27 = 0

z = –3 or z = 9
z = –3 or z = –9
z = 3 or z = –9
z = 3 or z = 9

Answers

Answer:

The value of z = -3 or z = 9

Step-by-step explanation:

Given equation => z² – 6z – 27 = 0

=> z² - 9z + 3z - 27 = 0

=> z(z -9 ) +3 (z - 9 ) = 0

=> (z + 3) (z - 9)

=> z = -3 or z = 9

Answer:z = –3 or z = 9

Step-by-step explanation:

Which sum does the model below represent?
+
+
+
+
ĐO
oo ooo
0 4+(-7) = -3
O 4+ 7 = 11
O 8+(-3) = 4
O 11+ (-4) = -3

Answers

Answer:

THIS ANSWER IS CORRECT

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

Step-by-step explanation:

BRAIN LESS ANSWER

Pls help give brainlest

Answers

Answer:

problem 18=E

problem 20= 135

problem 19= 14

problem 21= -2

problem 22= 0.5

You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 8x + 7 and the path of the dog is modeled by y = 2x + 7, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?

Yes, they intersect at the coordinates (0, 7) and (3, 13)
Yes, they intersect at the coordinates (0, 7) and (6, 19)
Yes, they intersect at the coordinates (0, 7) and (7, 21)
No, the paths do not cross

Answers

Answer:

Yes, they intersect at the coordinates (0, 7) and (6, 19)

Step-by-step explanation:

[tex]y = -x^2 + 8x + 7\\y = 2x + 7\\y = y\\-x^2 + 8x + 7 = 2x + 7\\-x^2+ 6x = 0\\x^2 - 6x = 0\\x(x - 6) = 0\\x = 0\ \ \text{or}\ \ x = 6\\[/tex]

[tex]\text{if}\ x = 0\\y = 2x + 7\\y = 2(0) + 7 = 7\\\text{coordinate is:}\ (0, 7)[/tex]

[tex]\text{if}\ x = 6\\y = 2x + 7\\y = 2(6) + 7 = 12 + 7 = 19\\\text{coordinate is:}\ (6, 19)[/tex]

Answer:

B. Yes, they intersect at the coordinates (0, 7) and (6, 19)

Step-by-step explanation:

I took the Algebra exam

Luke and Ella have money in their bank account in the ratio 7:8

Luke gives £2 to Ella, and the ratio becomes 4:5.

Work out the original amount of money that Ella had.

Answers

Answer:

$48

Step-by-step explanation:

Ratios can be written as fractions.

1) Initially, Luke had 7x money, Ella had 8x money. Luke gives $2 to Ella. So, Luke now has 7x - 2 money and Ella has 8x + 2. The total amount of money is 4:5. These could be shown as fractions.

7x - 2/8x + 2 = 4/5

4(8x + 2) = 5(7x - 2)

32x + 8 = 35x - 10

8 + 10 = 35x - 32x

18 = 3x

18/3 = x

x = 6

2) Substitute the result (x = 6) into 7x:8x.

= 7(6)

= 42

= 8(6)

= 48

Please help me understand the question

Answers

Answer:

a and c

Step-by-step explanation:

For the pair of functions, find the quotient (f/g)​

Answers

find the excluded values :
f / gx x = 2 x ( -3 ) , g = 0

multiply both sides :
fx = 6g

divide both sides :
x = -6g / f , f = 0

rewrite the fraction :
x = - 6g / f , f = 0

write the restrictions :
x = -6g / f , f = 0 , g. = 0

Answer :

x = -6g / f , f = 0 , g. = 0

Find the area of the figure.EXPLAIN THE STEPS!!!!!

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area is enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 550 miles. Flying against a headwind, it takes 1
hour longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)

Answers

Answer:

55.5 mph

Step-by-step explanation:

Time period of flight

Distance travelled / Speed of plane550 miles / 205 mph2.68 hours

Return trip flight speed

Distance travelled / Time taken550 miles / 2.68 + 1 hours550 miles / 3.68 hours149.46 mph

Wind velocity

Original speed - Speed on return trip205 - 149.4655.5455.5 mph

i need help with my math homework what is 234234x3432

Answers

The answer is: 803,891,088, just multiply.

Find the missing number in the following fraction calculation
/7 ÷10 =3/35

Answers

x=6

Step-by-step explanation:

x ÷ 7 ÷10 = 3/35

(Use trial & error - since I knew x<7)

6/7 ÷ 10 = 3/35

Or

3/35 x 10

(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)

Hope this helps!

5What is 20% of 50cm

Answers

Answer:

20% of (50 cm)= 10 Centimeters

Step-by-step explanation:

calculator!

Answer:

10 cm

[tex]20 \div 100 \times 50\% = 10cm[/tex]

1. [15 points] An electric company makes motors for a variety of applications. Its two plants ship their production to three dealers. The production hours available in the plants for the second quarter vary because of downtime for scheduled maintenance on equipment: Plant April May June A 400 360 360 B 425 350 375 Plant A requires 20 hours to produce a motor. Plant B requires 25. Because B is older and less efficient, production costs are $100 more per motor in B than in A. Shipping costs from the plants to the dealers and orders for the quarter are show below Monthly Shipping orders costs from Dealer April May June A B 1 12 9 11 45 60 2 10 12 8 50 70 3 8 11 12 75 40 Building ahead and stockpiling of motors is possible with a cost of $55 per month. Orders that are not shipped in the month requested are subject to a contractual penalty of $80 per month. At the end of June all orders need to be satisfied. Formulate an LP problem that can determine a production schedule to meet the demands for the motors with the minimum total of shipping, storage, penalty and production differential costs.

Answers

100by 60 by 50 by 40 by 30

What is the sum of the
greatest common factor and the least common
multiple of 4 and 10?
A 18
B 20
C 22
D 24

Answers

Answer:

C

Hope This Helps! :) Please Give Brainliest if this does!

Hewo

My question:
1/2÷4 but if you could! draw a model plsss

Answers

Answer:

0.125

Step-by-step explanation:

So since we have 1/2 we will convert that to half of a pie... (the half circle)

We need to divide by four so we take that half of a pie and slice it into four parts... each part is now equivalent to our answer...

Equation... (as follows)

0.50 / 4 = 0.125

to check our work 0.125 x 4 = 0.50...

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Which is the BEST description of the data in the scatterplot?

Answers

Answer:

2. linear with a negative correlation

PLEASE HELPPP!!! ILL GIVE BRAINLIEST!!!

Answers

Answer:

240 ft²

the explanation is in the picture

What is the vertex of angle 1

Answers

Answer:

b

Step-by-step explanation:

Answer:

i believe it be

Step-by-step explanation:

correct me if its wrong

could someone help me super fast? no fake answers please
optionally could someone help me too with any of the other questions on my profile they are worth 50 points each too

Answers

Answer:

(a)  graph iii)

(b)  graph v)

(c)  graph ii)

(d)  graph iv)

Step-by-step explanation:

All given equations are in vertex form:  y = (x - h)² + k

where (h, k) is the vertex of the parabola

The vertex is the turning point of the parabola, so the minimum point for parabolas that open upward, and the maximum point for parabolas that open downward.

Vertices of the given graphs:

i) (-3, 2)

ii) (-3, -2)

iii) (2, 3)

iv) (3, 2)

v) (-2, -3)

vi) (2, -3)

Part (a)

Given equation:  y = (x - 2)² + 3

Therefore, the vertex is (2, 3) → graph iii)

Part (b)

Given equation:  y = (x + 2)² - 3

Therefore, the vertex is (-2, -3) → graph v)

Part (c)

Given equation:  y = (x + 3)² - 2

Therefore, the vertex is (-3, -2) → graph ii)

Part (d)

Given equation:  y = (x - 3)² + 2

Therefore, the vertex is (3, 2) → graph iv)

Vertex form of parabola having vertex (h,k)

y=a(x-h)²+k

#1

y=a(x-2)²+3

Vertex (2,3)

Graph III

#2

y=(x+2)²-3

Vertex (-2,-3)

Graph V

#3

y=(x+3)²-2

Vertex (-3,-2)

Graph II

#4

y=(x-3)²+2

Vertex (3,2)

Graph IV

Two binomials that have a product of y^2 - 1

Answers

Answer:

(y-1) x (y+1)

Step-by-step explanation:

Write the number in the exponential

form with an exponent of 2

Use a² - b² = (a - b)(a +b) to factor the expression

Simplifying please help i don’t know how to do this

Answers

Answer:

8,400

Step-by-step explanation:

840*10^1 = 8400

Answer:

8400

Step-by-step explanation:

840 * 10 = 8400

When multiplying by 10 in this scenario, simply add a zero to the end of the number.

Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount?
A. in the PAYMENT or WITHDRAWAL AMOUNT column
B. in the DEPOSIT AMOUNT column
C. in the BALANCE column
D. in the FEE column

Answers

C
Because you are balancing how much you have left in your bank

A cuboid with a volume of 374cm^3 has dimensions 2cm,(x+3)cm and (x+9)cm
Please help me get the full 7 marks

Answers

Answer:

x² + 12x - 160 = 0

x = 8 or x = -20

The dimensions are 2 cm, 11 cm, 17 cm.

Step-by-step explanation:

The volume of the cuboid is the product of the three dimensions.

volume = 2(x + 3)(x + 9)

volume = 2(x² + 12x + 27)

volume = 2x² + 24x + 54

We are told the volume equals 374 cm³.

2x² + 24x + 54 = 374

2x² + 24x - 320 = 0

x² + 12x - 160 = 0

(x - 8)(x + 20) = 0

x - 8 = 0 or x + 20 = 0

x = 8 or x = -20

We do not use x = -20 because it would cause two dimensions to be negative which cannot be.

x = 8

x + 3 = 8 + 3 = 11

x + 9 = 8 + 9 = 17

The dimensions are 2 cm, 11 cm, 17 cm.

What percent of 50 (is)40?

Answers

Answer:

80% :)

Step-by-step explanation:

We divide to solve this!!

40/50 = 0.8

Now multiply to get a percent!!

0.8 x 100 = 80%

Have an amazing day!!

Please rate and mark brainliest!!

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