Answer:
y = - 24
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 3
k = 
= 
= - 4
y = - 4x ← equation of variation
When x = 6, then
y = - 4 × 6 = - 24
Answer:
since you recorded the first marble then replaced it, you drew 10 blue marbles, so therefore we can predict the next marble you drew, was blue.
Step-by-step explanation:
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.
</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.
A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.
12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.
Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.
Shape C is a <em>prism.</em>
Shape D is a <em>pyramid.
</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.
A cube is a 3-D shape with six sides, all made up of squares of the same size.
The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.
This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.
1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.
To find the number of layers needed to fill the box, you divide 120 by 24.
120 ÷ 24 = 5
The answer to #13 is 5 layers.
You invested 11000 in in 2st fund and 9000 in 2nd fund
<h3><u>Solution:</u></h3>
Given that, You invested money in two funds.
Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.
This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.
Let the amount in Fund I be $x and amount in Fund II be $ y
Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)
And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)
Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660
Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500
Subtract the two equations
(2) ⇒ 0.6x + 0.1y = 7500
(1) ⇒ 0.16x + 0.1y = 2660
(-) --------------------------------
0.44x + 0 = 4840
x = 11000
Now, from eqn (2)
0.12(11000) + 0.02y = 1500
0.02y = 1500 – 1320
0.02y = 180
y = 9000
Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund
Answer:
Contradictrion
Step-by-step explanation:
First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:
x + 65 -x =289
Then combine like terms.
65 = 289
There are no values of x that make the equation true. The input is a contradiction.
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NO ANSWER</u></h2>
