14 karat is 7/12 pure gold and 5/12 other metals. how much pure gold is in 4 ounces of 14-karat gold

Cierra has three more than 1/2 as many purses as Asia defined a variable and write an expression to represent the number of purs

Ray Of Light [21]

Answer:

The equation representing the number of purses Ceirra has is $c=3+\frac{1}{2}\times a$ .

Ceirra has <u>9</u> purses in her collection.

Step-by-step explanation:

Given,

Cierra has three more than 1/2 as many purses as Asia.

Solution,

Let the number of purses Cierra has be 'c'.

And also the number of purses Asia has be 'a'.

Now according to question, Cierra has 3 more than 1/2 purses as Asia has.

Framing in equation form, we get;

$c=3+\frac{1}{2}\times a$

Hence The equation representing the number of purses Ceirra has is $c=3+\frac{1}{2}\times a$ .

Now we solve the equation;

Since Asia has 12 purses.

So we substitute the value of 'a', and get;

$c=3+\frac{1}{2}\times12=3+6=9$

Hence Ceirra has <u>9</u> purses in her collection.

6 0

3 years ago

Shonda’s car gets an average of 27 miles per gallon. Gas costs $2.25 per gallon and she drives 892 miles to get from Baltimore,

bekas [8.4K]

She will spend $74.25 on gas.

Step-by-step explanation:

Given,

27 miles = 1 gallon

1 mile = $\frac{1}{27}\ mile$

Distance to cover = 892 miles

We will multiply this number with gallons of gas used for 1 mile.

892 miles = $\frac{1}{27}*892$

892 miles = 33.04 gallons of gas

Rounding off to nearest whole number;

892 miles = 33 gallons

Cost of one gallon of gas = $2.25

Cost of 33 gallons = 2.25*33 = $74.25

She will spend $74.25 on gas.

Keywords: unit rate, conversion

Learn more about conversion at:

#LearnwithBrainly

4 0

3 years ago

Angles. Maybe using law of sines

uranmaximum [27]

Answer:

(a) 5.36°

(b) β = 84.64° -θ

(c) d = 58.36·sin(84.64° -θ)/sin(θ)

(d) see the attached table

Step-by-step explanation:

(a) The lean angle can be found from the definition of the sine function:

sin(α) = Opposite/Hypotenuse = (5.45 m)/(58.36 m) ≈ 5.36°

__

(b) The angle β does not depend on d; it only depends on the angle θ. Since the sum of angles of a triangle is 180°, we have ...

θ + (90°+α) + β = 180°

β = 180° -90° -5.36° -θ

β = 84.64° - θ

__

(c) The law of sines tells you ...

d/sin(β) = 58.36/sin(θ)

Using the above expression for β and multiplying by sin(β), we get ...

d = 58.36·sin(84.64° -θ)/sin(θ)

___

This can be simplified, if desired, to ...

d = 58.10·cot(θ) -5.45

4 0

3 years ago

Complete the proof please. A. SAS B. ASA C. AAS D.HL

riadik2000 [5.3K]

Option B:

ASA congruence

Solution:

Step 1: Given

$\overline{Q S} \perp \overline{Q T}$

Step 2: Given

$\overline{R T} \perp \overline{R S}$

Step 3: Given

$\overline{Q U} \cong \overline{R U}$ (Included side)

Step 4: All right angles are congruent.

$\angle Q \cong \angle R$ (Angle)

Step 5: By vertical angle theorem

$\angle Q U T \cong \angle R U S$ (Angle)

Step 6: By ASA congruence

QU and RU are included side of corresponding angles.

Therefore by ASA congruence rule,

$\Delta Q T U \cong \Delta R S U$

Option B is the correct answer.

Hence proved.

6 0

4 years ago

Which equation passes through the gym

Nata [24]

Answer:

There is no enough info

3 0

3 years ago