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Lelechka [254]
3 years ago
11

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

<u>Initially</u>

Ruby: 10 strawberries

Sapphire: 30 strawberries

<u>After x minutes</u>

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

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What is the product of 115 and 22?
Bess [88]

Answer :D

2530

Question explanation:

115 * 22 = 2530.

<em>I'm truly sorry if this is incorrect - Answered by Lilo</em>

8 0
2 years ago
The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point
marishachu [46]

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

5 0
3 years ago
Please help with questions<br> 1d) and 1e)<br><br> Any help is much appreciated thanks
Anestetic [448]

Answer:

1d 6.742     1e 6

Step-by-step explanation: By sketching out the graph you can see the positive x intercept to find 1d

You can also replace h with 25 and isolate t to find 1e

5 0
2 years ago
Give an example of a job that would have a y-intercept of $0 and another with a y-intercept of $20. What do these y-intercepts m
strojnjashka [21]

Answer

I) A job pays $15/hr with no bonus first day pay.

II) A job pays $15/hr with a $20 bonus first day pay.

Step-by-step explanation:

The y-intercepts would represent additional income that is added on to the base wage. It means it is what the worker would already earn (one-time), adding on to their standard pay.

Let X represent hours, and the y-intercept be what is mentioned above.

I) 15x + 0

II) 15x + 20

6 0
3 years ago
Help please 1. Describe the transformations necessary to transform the graph of
natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

x^2\mapsto (x-1)^2

The general transformation is

f(x)\mapsto f(x+k)

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

(x-1)^2\mapsto 3(x-1)^2

The general transformation is

f(x)\mapsto kf(x)

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

3(x-1)^2\mapsto 3(x-1)^2+4

The general transformation is

f(x)\mapsto f(x)+k

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of f(x)=x^2 and we:

  • Translate it 1 unit to the right
  • Stretch it vertically by a factor 3
  • Translate it 4 units up

(the order is important!)

to get the graph of g(x)=3(x-1)^2+4

4 0
3 years ago
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