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3 years ago

Find the area of every square that can be drawn by connecting dots on a 3 dot by 3 dot grid

Mathematics

1 answer:

Vinil7 [7]3 years ago

7 0

A three by three dot grid box would make a box with a height and length of two boxes, so the area of this would be 4.

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Help me, Ive got number 2 already

beks73 [17]

Answer:

1. is no

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the result of subtracting the second equation from the first? -2x+y=0 - 7x + 3y = 2

Monica [59]

Answer:

Photomath help you get the answer

Step-by-step explanation:

7 0

3 years ago

Find the perimeter of the figure shown above. a. 40 cm c. 52 cm b. 60 cm d. 75 cm Please select the best answer from the choices

cluponka [151]

I think the answer is 52 cm. If you add all the numbers and find out the two missing numbers you will get 52. ( if I’m sorry so how, I’m sorry :))

3 0

3 years ago

Read 2 more answers

La Biblia dice que Matusalén vivió 979 años, mientras que Abraham vivió 175 años, escribe la fracción que indica la relación de

LenKa [72]

Answer:

A 175/979 = M

Step-by-step explanation:

Si Matusalén vivió 979 años y Abraham vivió 175 esto quiere decir que abraham vivio menos años que Matusalén.

Por lo que la fracción va a tener que ser menor que 1 ya que al multiplicarla por la edad de Matusalén nos tiene que dar la de Abraham.

Tenemos que encontrar una fraccion que multiplicada por 979 nos de 175.

979 * X = 175

Tenemos que despejar la x y encontraremos el valor de la fraccion.

979 * X = 175

X = 175/979

Nos fijamos si se puede simplificar, no se puede asique este es el resultado final.

3 0

3 years ago