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Agata [3.3K]
3 years ago
13

Which quantity is proportional to 12⁄4?

Mathematics
1 answer:
shutvik [7]3 years ago
8 0

Answer:

3

Step-by-step explanation:

12 / 4 = 3

4 can go into 12 three times, so the fraction 12/4 is equal to 3

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Write an equation and solve this problem: Seventy is what percent of 50?
MrRissso [65]
70 = 50 * x/100
x = 70/50*100 = 140

Seventh is 140% of 50.
3 0
3 years ago
I WILL MARK BRAINLIEST PLEASE ANSWER ITS DUE AT 1:00 PLEASE
Airida [17]

Answer:

(7,3)

Step-by-step explanation:

4 0
2 years ago
75 is 128% of what number
Oksana_A [137]

\bold \pink{let \: the \: number \: be \: x}

\mathsf{128\% \times x = 75}

\\  \\  \frac{128}{100}  \times x = 75 \\  \\ x =  \frac{75}{1}  \times  \frac{100}{128}   \\ \\ x =  \frac{7500}{128}

\boxed{x = 58.59375}

75 is 128% of 58.59375

5 0
3 years ago
Read 2 more answers
Line Segment DE is parallel to side BC of right triangle ABC. CD = 3, DE = 6, and EB = 4. Compute the area of quadrilateral BCDE
dybincka [34]

The area of quadrilateral BCDE = 20.4 sq. units

Let AD = x and AE = y.

Since ΔABC and ΔAED are similar right angled triangles, we have that

AC/AD = AB/AE

AC = AD + CD

= x + 3.

Also, AB = AE + EB

= y + 4

So, AC/AD = AB/AE

(x + 3)/x = (y + 4)/y

Cross-multiplying, we have

y(x + 3) = x(y + 4)

Expanding the brackets, we have

xy + 3y = xy + 4x

3y = 4x

y = 4x/3

In ΔAED, AD² + AE² = DE².

So, x² + y² = 6²

Substituting y = 4x/3 into the equation, we have

x² + y² = 6²

x² + (4x/3)² = 6²

x² + 16x²/9 = 36

(9x² + 16x²)/9 = 36

25x²/9 = 36

Multiplying both sides by 9/25, we have

x² = 36 × 9/25

Taking square root of both sides, we have

x = √(36 × 9/25)

x = 6 × 3/5

x = 18/5

x = 3.6

Since y = 4x/3,

Substituting x into the equation, we have

y = 4 × 3.6/3

y = 4.8

To find the area of quadrilateral BCDE, we subtract the area of ΔAED from area of ΔABC.

So, area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of ΔABC = 1/2 AC × AB

= 1/2 (x + 3)(y + 4)

= 1/2(3.6 + 3)(4.8 + 4)

= 1/2 × (6.6)(8.8)

= 1/2 × 58.08

= 29.04  square units

area of ΔAED = 1/2 AD × AE

= 1/2xy

= 1/2 × 3.6 × 4.8

= 1/2 × 17.28

= 8.64 square units

area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of quadrilateral BCDE = 29.04 sq units - 8.64 sq units

area of quadrilateral BCDE = 20.4 sq. units

So, the area of quadrilateral BCDE = 20.4 sq. units

Learn more about area of a quadrilateral here:

brainly.com/question/19678935

4 0
2 years ago
Say you have $14,000 to invest into an investment account. You can either invest your money into an account with a 7% annual int
taurus [48]

Answer:

You should choose an account with a 7% annual interest rate which is compounded quarterly

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

part 1)

we have  

t=15\ years\\ P=\$14,000\\ r=0.07\\n=4  

substitute in the formula above  

A=14,000(1+\frac{0.07}{4})^{4*15}

A=14,000(1.0175)^{60}  

A=\$39,645.43  

part 2)

we have  

t=15\ years\\ P=\$14,000\\ r=0.068\\n=12  

substitute in the formula above  

A=14,000(1+\frac{0.068}{12})^{12*15}

A=14,000(1.0057)^{180}  

A=\$38,713.11  

7 0
3 years ago
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