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3 years ago

Evaluate the expression when c=-5 and y= 5 -4c+y

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

Step-by-step explanation:

-4c+y

=-4(-5)+5

=20+5

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Marcus has one book less than three times the number of books that Jessie has. Use the algebra tiles to create a model of the nu

Talja [164]

Answer:

Let's define the variables:

M = number of books that Marcus has.

x = number of books that Jessie has.

We know that:

"Marcus has one book less than three times the number of books that Jessie has."

Then the equation that represents the number of books that Marcus has is:

M = 3*x - 1.

Then if x tiles represent the number of books that Jessie has, the number of tiles for Marcus will be 3 times that, and then subtract one tile.

8 0

3 years ago

Divide (18x^3 + 12x – 3x) ÷ 6x^2.

Scilla [17]

18x^3 +9x / 6x^2 = 3x
18x^3
--------
0 9x

so than (18x^3 +9x) divided by 6x^2 will be equal 3x and the remainder is 9x

3 0

4 years ago

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Artyom0805 [142]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

4 0

3 years ago

Write an equation of the line that is perpendicular to -x+y=15 and passes through the point (2,-5)

hichkok12 [17]

2-5=15

2+5=15

i think . sorry if its wrong

3 0

3 years ago

What is AE and the perimeter of BCDE? Round your answer to the nearest tenth.

Oliga [24]

Answer:

AE = 43.2 units

Perimeter = 229.2 units

Step-by-step explanation:

Let the side AE be 'x'.

Consider triangles AEB and ADC

Statements Reasons

1. ∠ ABE ≅ ∠ ACD Right angles are congruent.

2. ∠A ≅ ∠A Common angle

Therefore, the two triangles are similar by AA postulate.

Now, for similar triangles, the ratio of their corresponding sides are also proportional to each other. Therefore,

$\frac{AE}{AD}=\frac{AB}{AC}=\frac{BE}{DC}\\\\\frac{AE}{AE+ED}=\frac{AC-BC}{AC}$

Now, plug in the given values and solve for 'x'. This gives,

$\frac{x}{x+72}=\frac{88-55}{88}\\\\88x=33(x+72)\\\\88x=33x+2376\\\\88x-33x=2376\\\\55x=2376\\\\x=\frac{2376}{55}=43.2$

Therefore, AE = 43.2 units

Now, from right angled triangle ABE,

$(AB)^2+(BE)^2=(AE)^2...(Pythagoras\ Theorem)\\\\(33)^2+(BE)^2=(43.2)^2\\\\BE=\sqrt{(43.2)^2-(33)^2}=27.879$

Similarly from right angled triangle ACD,

$CD=\sqrt{AD^2-AC^2}\\\\CD=\sqrt{(72+43.2)^2-88^2}=74.344$

Now, perimeter is the sum of all the sides of a figure. Therefore, the perimeter of BCDE is given as:

Perimeter = BE + ED + CD + BC

Perimeter = 27.879 + 72 + 74.344 + 55 = 229.223 ≈ 229.2 (Nearest tenth)

Therefore, the perimeter = 229.2 units

6 0

3 years ago