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3 years ago

Choose the numbers to create a story problem that represent 4 divide 1/3

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer:

Jack wants to give a treat to his 4 friends. Jack buys a big chocolate

filled cake. He divides the cake into 1/3 pieces. How much cake did each friend get?

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PLEASEE HELP AGAINNNN!!!! If a1 = 4 and an = -4an - 1 then find the value of a6

sertanlavr [38]

The 6th term of the geometric sequence is of -4096.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, we have that:

The first term is $a_1 = 4$ .

$a_n = -4a_{n - 1}$ , hence the common ratio is q = -4.

Thus the 6th term of the sequence is found as follows:

$a_6 = a_1q^5 = 4(-4)^5 = -4096$

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

6 0

11 months ago

Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

3 years ago

PLZ HURRY IT'S URGENT!!! Find the volume of the prism.

Mashutka [201]

Answer:

V = 210 cm³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = Ah ( A is the area of the base and h is the height )

Here A = 5 × 6 = 30 cm² and h = 7 cm , then

V = 30 × 7 = 210 cm³

7 0

2 years ago

Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the g

Stella [2.4K]

Answer:

The other two vertices are (4 , -2) and (4 , 2)

4 0

3 years ago

Read 2 more answers

Find the ordered pair that makes both the equations below true

NNADVOKAT [17]

Answer:

(3, 1)

Step-by-step explanation:

(a) Algebraic solution

(1) y = -⅔x + 3

(2) y = 2x - 5

Set Equation (1) equal to Equation (2)

-⅔x + 3 = 2x - 5

Multiply each side by 3

-2x + 9 = 6x - 15

Add 15 to each side

-2x + 24 = 6x

Add 2x to each side

24 = 8x

Divide each side by 3

(3) x = 3

Substitute (3) into (2)

y = 2×3 - 5 = 6 - 5 = 1

The ordered pair that makes both equations true is (3, 1).

(b) Graphical solution

In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).

7 0

3 years ago