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2 years ago

You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How

Mathematics

1 answer:

Daniel [21]2 years ago

8 0

Answer:

15 weeks

$270

Step-by-step explanation:

60+14x=120+10x

4x=60

x=15 weeks

amount= 60+14*15= $270

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Which graph represents the function f(x) = (x – 5)2 + 3?

goblinko [34]

The function
$f(x)=(x-5)^2+3$
describes a parabola with vertex = (5, 3).

The graph of the function is attached.

4 0

2 years ago

Read 2 more answers

The speed of a sparrow is x km/h in still air. When the

Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

x = 5 (answer)

4 0

2 years ago

Candice bought 2 dozen eggs 9 of the eggs were bad . what percentage of the eggs were good

Dominik [7]

Answer:

63%

Step-by-step explanation:

2 dozen eggs is 24

24-9=15

15/24=.625 but when you rounded .63

4 0

2 years ago

A flower pot’s base has six sides that are all the same length. Each side measures x−6x-6 units. The base’s perimeter is 78 unit

NemiM [27]

Answer: The answer is x = 19.

Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

$6\times(x-6)~\textup{units}.$

According to the question, we have

$6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.$

Thus, the value of 'x' is 19 units.

6 0

2 years ago

Read 2 more answers

Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio $r$ . For example, we can say:

$a_2 = a_1 r$

$a_3 = a_2 r = (a_1 r)r = a_1 r^2$

We have $a_1 = 64$ . To find $a_2$ , let's multiply this term by $\frac{5}{4}$ :

$a_2 = 64 \cdot \frac{5}{4} = 80$

Now, let's use this to find all of our other terms:

$a_3 = 80 \cdot \frac{5}{4} = 100$

$a_4 = 100 \cdot \frac{5}{4} = 125$

$a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}$

Thus, our terms are 64, 80, 100, 125, and (625/4).

8 0

2 years ago