write the ratio 75g:3kg in its simplest form

Answer:

Step-by-step explanation:

The first table represents a linear function

The second table represents an exponential function

Answer:

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

Answer:

the third one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point the line passes through.

For this problem, the slope is -2 and the point is (5,7). Therefore:

[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]

Substitute the values into the formula.

[tex]y-7= -2(x-5)[/tex]

We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).

Distribute the -2.

[tex]y-7= (-2*x ) + (-2*-5)[/tex]

[tex]y-7= -2x+10[/tex]

7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.

[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]

The equation of the line is y= -2x+17

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Answer:

3

Step-by-step explanation:

A term is a mathematical expression. Each of these is a term. Therefore, there are 3 terms.

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+ 80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

Answer:

4.1

Step-by-step explanation:

Answer:

3x2+5=11

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

Answer:

the difference of median before the well (which was 53 minutes) and after the well (which was 28 minutes) is 25 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]

Answer:

130

Step-by-step explanation:

[tex]2x \degree + 460 \degree = (6 - 2) \times 180 \degree \\ \\ 2x \degree + 460 \degree =4 \times 180 \degree \\ \\ 2x \degree + 460 \degree =720 \degree \\ \\ 2x \degree =720 \degree -460 \degree \\ \\ 2x \degree =260 \degree \\ \\ x \degree= \frac{260\degree}{2} \\ \\ x \degree= 130 \degree \\ \\ x = 130[/tex]

Answer:

T = 5n + 7

Step-by-step explanation:

Bonnie : n

Clara : 3n

Danesh : 7 + n

T = n + 3n + 7 + n

T = 5n + 7

Answer:

D

Step-by-step explanation:

Answer:

Kathy=105

Pete=93

Answer:

9:4

13:9

Step-by-step explanation:

Step-by-step explanation:

Answer:

Variable: t

Constant: 18

Step-by-step explanation:

A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant  with digits. I hope this helps  :0)

Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

Answer:

A is the answer

Step-by-step explanation:

Answer:

37 more than the quotient of 24 and 8 ​= 24 ÷ 8 + 37

Step-by-step explanation:

24 ÷ 8 + 37

Order of Operations

3 + 37

Add

= 40

The expression is 24 ÷ 8 + 37

Answer:

Step-by-step explanation:

a+c=62, c=62-a

7a+3.5c=364, using c found above gives you

7a+3.5(62-a)=364 expand left side

7a+217-3.5a=364 group like terms on left side

3.5a+217=364 subtract 217 from both sides

3.5a=147 divide both sides by 3.5

a=42, since c=62-a

c=62-42=20

So 20 children and 42 adult tickets were sold.

Answer:

3

Step-by-step explanation:

why is there no option fr 3???

Answer:

98

Step-by-step explanation:

angles 1 and 2 are congruent, the lines in each side of the shape prove this.

another way to solve if you are not sure is to subtract all of the numbers from 360. all quadrilaterals equal 360 degrees, so if you subtract each of the three angles from 360, you will be left with the last angle.

360-120-44-98=98

Answer:

97% I think I am not sure I cant do it well