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3 years ago

What is the value of x? 80 ÷ x = 4

Mathematics

2 answers:

prisoha [69]3 years ago

4 0

Answer:

Step-by-step explanation:

to find x, divide 80 by 4, and you can check your answer two ways after.

Way #1 - insert your answer into x, and see if it works. (80/20=4)

Way #2 - multiply your answer by 4 and see if it equals 80 (20*4=80)

Kaylis [27]3 years ago

3 0

Answer:x=20 20x4=80

Step-by-step explanation:

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

6 0

3 years ago

Is a triangle with sides 7 feet, 12 feet, and 14 feet a right, acute or obtuse triangle?

tresset_1 [31]

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

7 0

3 years ago

If 3 times a certain number is increased by 4 the result is 28. What is the number?

k0ka [10]

x = number

the equation to use is: 3x+4=28

3x+4=28

3x=24

x-24/3 =8

x=8

8 0

4 years ago

A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H

lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

$^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8$

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0

4 years ago

Help please! Need help solving

NISA [10]

For the perimeter you have to consider the EXTERNAL SHAPE ONLY:

a) the perimeter of half a circle WITHOUT ITS DIAMETER is:
π.R - 2R → 3.14x1.5 - 2x1.5 → 1.71 cm

b) the perimeter of the rectangle WITHOUT THE UPPER SIDE is:
2.5+3+2.5 = 8 cm

Hence the perimeter of the figure is 1.71 + 8 = 9.71 cm

2) Area of the figure:
Area of half circle is π.R²/2 →3.14 x (1.5)²/2 → Area half circle = 3.5325 cm²
Area of rectangle = 2.5 x 3 = 7.5 cm²
Total area = 3.5325 + 7.5 = 11.0325 ≈ 11 cm²

3 0

3 years ago