MATHEMATICS MIDDLE SCHOOL

HELP!!!With working out... what’s the values of a b and c

(2x+1)(ax+b)=(6x^2-5x+c)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

(2x + 1)(ax + b) = 6x² - 5x + c

Expand the left side and put that half into standard form:

2ax² + 2bx + ax + b = 6x² - 5x + c

2ax² + (2b + a)x + b = 6x² - 5x + c

So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:

2a = 6

a = 3

Then look at the x terms, those coefficients will then be equal:

2b + a = -5

2b + 3 = -5

2b = -8

b = -4

and finally, then non-x terms are equal:

b = c

-4 = c

so:

a = 3, b = -4, c = -4

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Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12.

Answers

Answer:

Step-by-step explanation:

x = pens and y = pencils

4x + 5y = 6.71....multiply by 5

5x + 3y = 7.12....multiply by -4

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

20x + 25y = 33.55 (result of multiplying by 5)

-20x - 12y = - 28.48 (result of multiplying by -4)

--------------------add

13y = 5.07

y = 5.07 / 13

y = 0.39 <=== cost of a pencil

4x + 5y = 6.71

4x + 5(0.39) = 6.71

4x + 1.95 = 6.71

4x = 6.71 - 1.95

4x = 4.76

x = 4.76/4

x = 1.19 <==== cost of a pen

I have 1 hundreds, 4 ones, 2 tens, and 1 tenths. What number am I?

Answers

You are the number 124.1

124.1 is the number you want

A shoe box is 10 inches long and 6 inches wide. It is 3 inches tall. Sage is wrapping the shoe box and determined that she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap. How many square inches of gift wrap does she need?

Answers

Answer: $360\ in^2$

Step-by-step explanation:

For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length, "w" is the width and "h" is the height of the prism.

In this case you can identify that:

$l=10\ in\n\nw=6\ in\n\nh=3\ in$

Therefore, substituting values, you get that the surface area of the shoe box is:

$SA = 2(6\ in)(10\ in) + 2(10\ in)(3\ in) + 2(10\ in)(6\ in)\n\nSA=300\ in^2$

The 20% of this surface area is:

$(300\ in^2)(0.20)=60\ in^2$

Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:

$Total=300\ in^2+60\ in^2=360\ in^2$

Is 52L greater than 5,200mL?

Answers

1L = 1,000mL

therfore

52L = 52 × 1,000mL = 52,000 mL

52L = 52,000mL !!!!

5200mL → 520 cL → 52dL → 5.2L

Example:

If

1L ------ 1000mL
x -------- 5200mL

1000x = 5200
$x = (5200)/(1000)$
x = 5,2

Therefore:
52L > 5200mL or 5.2L (True)

How do you write 10,458,340 in exsapanded form

Answers

Ten-million, four-hundred and fifty-eight thousand, three-hundred and forty.

10,000,000+400,000+50,000+8,000+300+40+0

15 points because I need it quickly!! I will give brainliest to first answerMiss Holman gave a 90-cent tip to a waitress for serving a meal costing $6.00, before tax. a) What percent of the bill was her tip? b) If tax was 6.25%, what was the total bill including tip?