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Elodia [21]
1 year ago
10

Need help asap. Need answer and how to solve it please

Mathematics
1 answer:
Ganezh [65]1 year ago
4 0

Answer:

we can say this is just 1/6 minus 6/7.

Step-by-step explanation:

since the 7 in the second equation is negative, this means the whole fraction is negative. youre gonna do whats called adding the opposite. now to find a common denominator, well 6 and 7 both go into 42 so youre gonna change both denominators to 42. 7 × 1 is 7, so the first is now 7/42. -7 × -6 is 42, and 6 × -6 is -36. so the other one is now -36/42. once you add them together youll get -29/42. hope this helps if you have any questions lmk :)

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Eight times a number plus five another number is -13. The sum of the two numbers is 1. What are the numbers?
Pani-rosa [81]
Eight *(a number) plus 5*(another number) is -13.

translates to:

8(x) + 5(y) = -13

The sum of (the number) and (the other number) is 1.

translates to:

(x) + (y) = 1


We have a system of two equations involving two unknowns: x and y.

\rm 8x+5y=-13\\
~~x+~~y=~~~~1

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.

We'll multiply the second equation by -8 so that the x's match up.

\rm ~~~8x+5y=-13\\ -8x-8y=-8

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

\rm -3y=-21

Divide by -3,

\rm y=7

Plug back into one of your original equations to find the value of x,

\rm x+y=1\\
x+7=1

Subtract 7,

\rm x=-6
8 0
3 years ago
There are 26 students in Jenna's class. Jenna brought in 16 cupcakes. Which equation can be used to find the number of cupcakes
Olin [163]

Answer:

Step-by-step explanation:

16+n=26

26-16=n

4 0
3 years ago
Read 2 more answers
PLEASE help me I need help
Alexxandr [17]

Answer:

D

Step-by-step explanation:

The rest you can elimate because of obvious inferring and reasoning so process of elimination

7 0
3 years ago
Read 2 more answers
A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
5. On a recent day, the exchange rate for US dollars to British pounds
attashe74 [19]
250*0.62= 155

155 pounds is your answer.
8 0
3 years ago
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