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Pie
3 years ago
7

Find an equation of variation in which y varies directly as x and y=10 when x equals 0.5. Then find the value of Y when equals 1

9
Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

If x equals 19 then y would equal 380.

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If the 4th and 7th terms of a GP are 250 and 31250 respectively. Find the two possible values of a and r
Over [174]

Answer:

a = 2, r = 5

Step-by-step explanation:

Nth term of a GP = a×r^(n-1)

Where 'a' is the first term and 'r' is the common ratio

4th term = a×r^3 = 250

r^3 = 250/a

7th term = a×r^6 = 31250

a×r^6 = 31250

a×(r^3)^2 = 31250

a×(250/a)^2 = 31250

a×(62500/a^2) = 31250

62500/a = 31250

a = 62500/31250 = 2

a = 2

since r^3 = 250/a,

r^3 = 250/2 = 125

r = (125)^(1/3)

r = 5

5 0
3 years ago
Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
aliya0001 [1]

The slope of Anya’s line on the graph is 3

<h3>How to determine the slope of the line?</h3>

The equation is given as:

(y−2)=3(x−1)

Remove brackets

y − 2 = 3x − 3

Add 2 to both sides

y = 3x − 1

A linear equation is represented as:

y = mx + c

Where m represents the slope;

By comparison, m = 3

Hence, the slope of Anya’s line is 3

Read more about slope at:

brainly.com/question/1884491

#SPJ1

5 0
2 years ago
Read 2 more answers
Find AD. Show how you got your answer.
stealth61 [152]
Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half

notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base

now, the base is 8, AD is bisecting that too, to 4 and 4

now, using the Law of Sines

\bf \textit{Law of sines}&#10;\\ \quad \\&#10;\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\&#10;----------------------------\\\\&#10;\cfrac{sin(18^o)}{4}=\cfrac{sin(72^o)}{\overline{AD}}\implies \overline{AD}=\cfrac{4\cdot sin(72^o)}{sin(18^o)}

keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode

4 0
3 years ago
The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana sp
Nataliya [291]

Answer:

$82 sundaes

$74 banana split

Step-by-step explanation:

Step one :

Given data

Cost of sundaes =$2 each

Cost of banana split =$3 each

Let the number of sundaes bought be x

And the number of banana split bought be y

The total is x+y

The shop sold 8 more Sundaes than the Banana split

x=8+y—-------1

Total amount made = $156

Therefore the system of equation for the situation is

x=8+y----—----------1

2x+3y=156---------2

But x=8+y

8+y+y=156

8+2y=156

2y=156-8

2y=148

Divide both sides by 2

y=148/2

y=74

On That day they sold $74 banana split

And also they sold x=8+74=$82 sundaes

4 0
3 years ago
I need help pls ASAP
Pavlova-9 [17]
2radical 10 for simplifying radical 40
3 0
2 years ago
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