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3 years ago

The sum of two numbers is 64 and the difference is 6. What are the numbers?

Mathematics

1 answer:

Ne4ueva [31]3 years ago

7 0

Answer:

29 and 35

Step-by-step explanation:

x+y=64

x-y=6

Solve by substitution.

x=6+y

6+y+y=64

6+2y=64

y=29

Then plug in 29 for y.

x+29=64 ......35

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Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. For each hour after 40 hours,

blondinia [14]

Answer:

15.5

Step-by-step explanation:

for every hour we can say that the wage is x

hence we can create an equation:

40x + 160%*x = 644.80

now solve for x

40x + 1.6x = 644.8

41.6x = 644.8

x = 15.5

hourly wage is 15.5

3 0

3 years ago

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Someone please help me!!

Alinara [238K]

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

4 0

3 years ago

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available

Sergeu [11.5K]

Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92

where V is the volume of each sphere
Solving for V
V = 113.0973

The formula for the volume of the sphere is:
V = (4/3) π r³

Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³

Since V = 113.0937
113.0937 = (1/6) π D³
D = 6

<span>Therefore, the diameter is 6 inches </span>

5 0

3 years ago

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A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are there

solong [7]

Answer

42

Explanation

Let’s say:

Set of envelopes: {a,b,c,d,e,f,g}

Set of postage stamps: {1,2,3,4,5,6}

For an envelope you can have:

1a 2a 3a 4a 5a 6a (6 different combinations)

This applies to all 7 different types of envelopes.

Therefore 7 • 6 = 42

5 0

3 years ago

Standing 140 feet from the base of a tree, Alejandro uses his clinometer to site the top of the tree. The reading on his clinome

Advocard [28]

Answer:

132 feet

Step-by-step explanation:

Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.

Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.

The distance between points A and C, AC=140 feet.

Drawing a horizontal line from point E which meets AB at point D as shown.

As ACED forms a rectangle, so

AC=DE=140 feet ...(i)

CE=AD= 6 feet ...(ii)

The height of the tree, AB=AD+DB

By using equation (ii), AB=6+DB ...(iii)

Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.

So, $\angle DEB = 42^{\circ}$

In triangle DEB,

$\tan 42^{\circ} = \frac {DB}{DE} \\\\\Rightarrow DB = DE \times \tan 42^{\circ} \\\\$

$\Rightarrow DB = 140 \times \tan 42^{\circ}$ [from (i)]

$\Rightarrow DB = 126$ feet

From equation (iii) the height of the tree is

AB=6+126=132 feet.

Hence, the height of the tree is 132 feet.

7 0

3 years ago