Write the expression in expanded form.<br> (4.2z)(-5y-3)

Justin wants to make a necklace with 72 beads. He knows that 12 beads

strojnjashka [21]

Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

4 0

3 years ago

Read 2 more answers

A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is

IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

${w}^{2} + {42}^{2} = {62}^{2}$

${w}^{2} = {62}^{2} - {42}^{2}$

${w}^{2} = 2080$

${w} = \sqrt{2080}$

$w = 4 \sqrt{130}$

The width of the painting is 45.6cm to the nearest tenth.

4 0

3 years ago

Simplify (3+√5)(3+√2)

ANEK [815]

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

<h3>Surd operation </h3>

a√b × c√d = (a × c)√(b × d)

<h3>How to simplify (3 + √5)(3 + √2)</h3>

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

Learn more about surd:

brainly.com/question/24700530

#SPJ1

3 0

2 years ago

Solve each system of equations by writing a new system that eliminates one of the variables.

Rufina [12.5K]

Answer:

$x=33\\y=-41$

Step-by-step explanation:

Let:

$2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)$

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

$2*(1)\equiv\hspace{5}4x+2y=50$

Now subtract (2) from 2*(1) in order to eliminate x:

$2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41$

Solving for y:

Multiplying both sides by -1

$y=-41$

Finally, replacing the value of y in (1)

$2x-41=25$

Solving for x:

add 41 to both sides:

$2x=66$

Multiply both sides by 1/2:

$x=\frac{66}{2} =33$

3 0

3 years ago

Lynette buys candy at the grocery store. she gives half of the pieces to her son and 2 pieces to her daughter. if she has 4 piec

nevsk [136]

Let Lynette has originally candies in hand = x

She gave half to her son means x/2 given to son.

2 candies gave to daughter and left with 4.

x - x/2 - 2 = 4

adding 2 both sides

x - x/2 - 2 + 2 = 4 + 2

x - x/2 = 6

x /2 = 6

x = 12

Means she have 12 candies originally : Answer

Hope it will help :)

5 0

3 years ago

Write the expression in expanded form. (4.2z)(-5y-3)