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3 years ago

Which value of w will make the equation true? 6 + w = 37

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

Answer: 31

Step-by-step explanation: To solve this we want to work backward so we know that 6 and w = 37 so we need to do 37-6=w

37-6=31 so 31=W

If you need any further instruction or help let me know!

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In January Jennifer was allowed to use 150 text messages. If she is allowed to use the same amount of text messages every month.

Firlakuza [10]

She would have used 1200 messages in all by the month of August.

Step-by-step explanation:

Messages allowed per month = 150

There will be 8 months starting from January to August, therefore,

Time period = 8 months

Messages in 8 months = Messages per month * Time period

$Messages\ in\ 8\ months=150*8\\Messages\ in\ 8\ months=1200$

She would have used 1200 messages in all by the month of August.

Keywords: Multiplication

Learn more about multiplication at:

#LearnwithBrainly

6 0

3 years ago

A total of $12,000 is invested at an annual interest rate of 9%. Find the balance

sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First lets change 9% into a decimal:

9% -> $\frac{9}{100}$ -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

$A=12,000(1+\frac{0.09}{4})^{4(5)}$

$A=18,726.11$

The balance after 5 years is $18,726.11

6 0

3 years ago

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest answer !!!!!!!!!!!!!!!!!

ludmilkaskok [199]

Answer:

x = 8√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only]: Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 8

Leg b = 8

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]: 8² + 8² = x²
Exponents: 64 + 64 = x²
Add: 128 = x²
Isolate x: 8√2 = x
Rewrite: x = 8√2

4 0

2 years ago

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0

3 years ago

A cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7. What amount of this mixture contains 9 kilograms of Alm

Mice21 [21]

The total cereal mixture is 45 kilograms

Solution:

Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7

Therefore,

Almond : Wheat : Corn = 3 : 5 : 7

Let the almond present be 3x

Let the wheat present be 5x

Let the corn present be 7x

Therefore,

Total cereal mixture = 3x + 5x + 7x

Total cereal mixture = 15x

Given that mixture contains 9 kg of almond

Almond = 9

We know that,

Almond present = 3x

3x = 9

x = 3

Therefore,

Total cereal mixture = 15x = 15(3) = 45

Thus total cereal mixture is 45 kilograms

3 0

3 years ago