Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.
What are the values of t, x, y, and c ?​

Answer:

Step-by-step explanation:

This table reflects the proportional relationship amongst number of teaspoons, number of tablespoon, number of cups.

In other words these three measures are proportional.

By taking proportionality ratio of 'number of tablespoons' and 'number of cups' first.

[tex]\frac{12}{48}=\frac{C}{3}[/tex]

C = [tex]\frac{12\times 3}{48}[/tex]

C = 0.75

Similarly, [tex]\frac{y}{2}=\frac{12}{C}[/tex]

[tex]\frac{y}{12}=\frac{2}{0.75}[/tex]

y = [tex]\frac{24}{0.75}[/tex]

y = 32

Now, [tex]\frac{t}{36}=\frac{y}{12}[/tex]

[tex]\frac{t}{36}=\frac{32}{12}[/tex]

t = 96

By the same rule,

[tex]\frac{36}{x}= \frac{12}{48}[/tex]

x = [tex]\frac{48\times 36}{12}[/tex]

x = 144

Therefore, complete table will be,

Number of teaspoons       Number of tablespoons          Number of cups

          96                                            32                                          2

          36                                            12                                        0.75

         144                                            48                                          3

Express as a trinomial.
(2x+4)(x-1)

what is the mystery number 1,2,4,8,16,32

PLEASE HELP I WILL MARK BRAINLEIST
The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?

160 mm
25 mm
1 mm
800 mm

Solve the inequality: l 2x + 5 l > 15

Which has the same value 75%

Which of the following shows numbers ordered from least to greatest?
Group of answer choices

-2, -1, 0, 1

-2, 1, -1, 0

-2, -1, 1, 0

1, 0, -1, -2

which of the following polynomials are quadratic
Choose all answers that apply:
4x^2+3x+1
x+y
x^2+4x

EXTRA CREDIT: Complete the truth table. Choices are on the next page. (3 points)
Hurry please

how to find constant of proportionality

PLEASE HELP DUE NOW Pentagon A'B'C'D' E' is the image of
pentagon ABCDE under a dilation with a
1
scale factor of
2
4
What is the length of segment C'D'?
units

Mike is about 1.6 meters tall. A rock is about 2.3 x 10-² meters tall.
About how many times shorter is the rock compared to Mike?

A.1,400
B.700
C.140
D.70

A grocery store sells fruit snacks that come packaged in two different sizes. The small box has 8 snacks for $2.48, and the large box has 12 snacks for $3.48. The unit rate (in dollars per snack) of the larger box IS HOW MUCH CHEAPER than that of the small box?

Simplify the inequality:
-12.4x+8x > -0.4x-5.2-2.7

Michael buys some items at a grocery store.

Use the slope formula to determine the slope of the line containing the two points.

(-1, -7) and (-6, -3)

A. 10/7
B. -4/5
C. -1/2
D. -5/4

What is the quotient?
36-6

O -30
O-6
O 6
O 30

Helpppp me please

9/2x -6y = 12
3x - 4y = 8

Amy’s pets groundhog ate 32 lbs. of the food this month. Last month, it only ate half that much. How much did it eat last month?

HALLPPPPP!!
Find k if the line y = kx+5 passes through the point (-6,14)

what is 29( 86 + 34)

A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?

EACH BULK BLUEBONNET SEED BAGS CONTAINS 2 / 3 OF A POUND OF SEEDS. THE CENTER WILL BUY 14 BLUEBONNET SEED BAGS. EACH BULK ROCKROSE SEED BAG CONTAINS 5/6 OF A POUND OF SEEDS. THE CENTER WILL BUY 7 ROCKROSE SEED BAGS. ESTIMATE HOW MANY POUNDS OF SEED THE WILDFLOWER CENTER WILL PURCHASE?
​

The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.

Write the scale as a ratio a 4-inch drawing of a soccer field that is 108 yards long A 1in:27yd. B 27ud:1in. C 108yd:4in. D 4in:108yd

Need help I’m very confused

find the unit rate
1/5 kilograms: 3/5 foot

Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}

Si Mark ay nakagawa ng 84 na pirasong cookies. Kung ang mga ito ay kaniyang isisilid sa 7 maliliit na kahon. Ilang
pirasong cookies ang laman ng isang maliit na kahon?
1. lláng cookies ang nagawa ni Mark?
2. Ilang maliliit na kahon ang lalagyan ni Mark?
3. Isulat ang division equation:
4. Isulat ang multiplication sentence.
5. Ilang pirasong cookies ang laman ng isang maliit na kahon?​

Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
the experimental probability that the next gumball dispensed will be purple?
Simplify your answer and write it as a fraction or whole number
P(purple) =

Does this expression represent the sum 13.76 + 2.8?

sixteen and fifth-six hundredths