Ask question

Ask question

All categories

2 years ago

14

Danica is arranging flowers for a party. On each table, t, there will be a vase of 9 flowers and 3 bowls of flowers with f flowe

rs inside. Danica needs an additional 12 flowers for a cake topper. This situation can be written as the following expression:
9t + (3f)t + 12

How many flowers should Danica purchase if she has 21 tables with 3 flowers in each bowl?
help!!!!!

1 answer:

suter [353]2 years ago

5 0

Subst for f and t in...
9t+3ft+12 = 9×21 + 3×3×21 + 12 = 390

You might be interested in

(6x10^2)/(3x10-5) help what is this in standard form?

Tasya [4]

<u>Answer: </u>

The standard form of $\frac{6 \times 10^{2}}{3 \times 10^{-5}}$ is 20,00,0000

<u>Solution: </u>

Given that $\frac{6 \times 10^{2}}{3 \times 10^{-5}}$ ---- eqn 1

To write $\frac{6 \times 10^{2}}{3 \times 10^{-5}}$ in standard form,

We know that $\bold{\frac{1}{a^{-m}} = a^{m}}$ .So $\frac{1}{10^{-5}}$ becomes $10^{5}$ .

Now eqn 1 becomes,

$= \frac{6 \times 10^{2}}{3} \times 10^{5}$ ----- eqn 2

We know that $\bold{a^{m} \times a^{n}=a^{m+n}}$ , so $10^{2} \times 10^{5} = 10^{7}$

Now eqn 2 becomes,

$= \frac{6}{3} \times 10^{7}$

$= 2 \times 10^{7}$ ---- eqn 3

Expanding $10^{7}$ :

Here 10 is the base term and 7 is the exponent value. So base term 10 is multiplied by itself 7 times.

$10^{7} = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10$

Now eqn 3 becomes,

$= 2 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10$

= 20,00,0000

Hence the standard form of $\frac{6 \times 10^{2}}{3 \times 10^{-5}}$ is 20,00,0000

6 0

3 years ago

The sum of the angles in a hexagon is 720°.

qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

$m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.$

The sum of the angles in a hexagon is 720°.

$m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ$

$90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ$

$90+126.87+(3x)+90+143.13+143.13 =720$

Therefore, the required equation is $90+126.87+(3x)+90+143.13+143.13 =720$ .

(b)

On solving the above equation, we get

$593.13+3x =720$

$3x =720-593.13$

$3x =126.87$

Divide both sides by 3.

$x =\dfrac{126.87}{3}$

$x =42.29$

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

$m\angle C=(3x)^\circ$

$m\angle C=(3\times 42.29)^\circ$

$m\angle C=126.87^\circ$

Therefore, the measure of angle C is 126.87 degrees.

7 0

3 years ago

Help!! Solve: 4d² + 19d -5 =0 Thanks!!

-BARSIC- [3]

I think it is 1/4 and -5

6 0

3 years ago

1. Given: Angle 2 is 65 degrees. Please note that L || M. (a) What is the angle measurement of Angle 4? Explain the angle relati

Natali5045456 [20]

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

From the diagram:

∠2 + ∠4 = 180° (sum of angles in a straight line)

∠4 + 65 = 180

∠4 = 115°

b) ∠2 = ∠3 (vertically opposite angles)

∠3 = 65°

c) ∠3 = ∠7 (corresponding angles)

∠7 = 65°

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

Find out more on Equation at: brainly.com/question/18831322

4 0

2 years ago

Write an equivalent expression for 36x + 12

larisa86 [58]

12+ 36x = 36x +12

Thai your answer

3 0

3 years ago

Read 2 more answers