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2 years ago

To find 27x9 I find 27x10 and remove 1 group of 27

Mathematics

1 answer:

solniwko [45]2 years ago

5 0

Answer:

yes because 10 groups 27 taking 1 group of 27 is now 9 groups of 27

10*27-27=243 is equal to 9*27=243

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Martha combined different amounts of oramge juice, pineapple juice, and strawberry juice to make 1 850ml of fruit punch. The amo

allsm [11]

We have the following variable:
x = The amount of orange juice
We have the following equation:
x + (× + 100) + 1/2 × = 1850
We clear x:
(5/2) x + 100 = 1850
(5/2) x = 1850 - 100
(5/2) x = 1750
x = 1750 / ((5/2))
x = 700 ml
pineapple juice = × + 100 = 700 + 100 = 800 mL
strawberry juice = 1/2 × = (1/2) 700 = 350 mL
The difference is:
800 - 350 = 450 mL
Answer:
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
450 mL

8 0

3 years ago

A group of climbers begin climbing at an elevation of 5000 feet and ascend at a steady rate of 1500 vertical feet per hour. This

KatRina [158]

Answer:

Linear function: $y=1500x+5000$

x- Independent variable

y- Dependent variable

Step-by-step explanation:

We are given that

Climbers start climbing at an elevation of height =5000 ft

The steady rate at which climbers start climbing=1500 ft/h

We have to find the independent variable and dependent variable.

Let time taken by climbers=x hours

In 1 hour, climbers cover distance =1500 ft

In x hours , climber cover distance=1500x ft

According to question

The total distance y covered by climber in x hours

$y=1500x+5000$

This is required linear function.

We can see that

x does not depend on any other quantity.Therefore, x is independent variable .

When the value of x changes then the value of y is also change.

It means the value of y depends on the value of x.

Therefore, y is dependent variable.

8 0

3 years ago

Kate wants to buy a scarf for $22. How much will the scarf cost if she buys it in Coconut Grove?

Sonja [21]

Elaborate more on your question! Include details that we don't know.

5 0

3 years ago

Determine the function which corresponds to the given graph the asymptote is x= -1

MissTica

Answer:

Can't answer

Step-by-step explanation:

6 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago