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BigorU [14]
3 years ago
9

The number of girls in cobbs class is 2 less than 3 times the number of boys. She has 26 students in her class how many are boys

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

7 are boys

Step-by-step explanation:

Make a system of equations where g is for girls and b is for boys.

b+g=26

g=3b-2

Substitute "3b-2" in for "g" in the first equation.

b+(3b-2)=26

Rewrite without the parentheses because it's addition and not multiplication.

b+3b-2=26

Combine like terms.

4b-2=26

Add 2 to both sides.

4b=28

Divide by the coefficient of the variable to get it alone.

b=7

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Find the missing variable for a parallelogram: A=64 h= b= 12.6
gizmo_the_mogwai [7]

Answer: h= 5.08

Step-by-step explanation:

In a parallelogram , the formula to find the area of the parallelogram is given by :-

A=b\times h , where b is the base and h is the height of the parallelogram.

Given : A=64                      h=?                     b= 12.6

Substitute these values in the above formula , we get

64=12.6\times h

Divide both sides by 12.6 , we get

h=\dfrac{64}{12.6}=5.07936507937\approx5.08

∴ The missing variable : h= 5.08

3 0
3 years ago
What is the slope of the line given by the equation y = -5x? Enter your answer as an integer or fraction in lowest terms.
posledela
Y=mx+b
m= slope
so -5 is the slope of the given line
5 0
3 years ago
What is the third angle of a right triangle if one of the angles measures 42.6
Llana [10]

Answer:

112

Step-by-step explanation:

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5 0
3 years ago
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What is 3 more than -5 ?<br><br><br><br> plsssss answer i will mark as brilliant
WARRIOR [948]

Answer:

-2

Step-by-step explanation:

3 0
2 years ago
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Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
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