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3 years ago

17 + x = 18 in 6th grade math what’s the answer?

Mathematics

2 answers:

Masteriza [31]3 years ago

6 0

Subtract 17 from both sides , x=1

morpeh [17]3 years ago

6 0

Hello!!! Hope you are having a good day!!! So for this type of equation just do 18-17=1 so x=1. This is because the equation they are just asking 17 plus what equals 18 and 17+1=18
Hope this helps have a good day!!
(I only need one more brainliest, so it will be appreciated if I get one!!!) :))))

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Susan purchased company ABC's stock and invested the balance in her money market account. ABC's stock yielded 13% last year and

garri49 [273]

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Step-by-step explanation:

Susan purchased company ABC's stock and invested the balance in her money market account

ABC's stock yielded 13% last year and her money market account yielded 5% last year
Susan's initial investments amount to $15000, and the annual income is $1070

We need to find how much money is invested in stock and how much is invested in her money market account

Assume that she invested $x in ABC's stock and $y in her money market account

∵ She invested $x in ABC's stock

∵ She invested $y in her market account

∵ Her initial investments amount is $15000

∴ x + y = 15000 ⇒ (1)

The interest formula is I = Prt, where P is the initial investment, r is the rate of interest in decimal and t is the time

In ABC's stock:

∵ She invested $x

∴ P = x

∵ The rate is 13%

∴ r = 13% = 13 ÷ 100 = 0.13

∵ t = 1

- Substitute all of these values in the formula of interest above

∴ $I_{ABC}$ = x(0.13)(1)

∴ $I_{ABC}$ = 0.13x

In her market account:

∵ She invested $y

∴ P = y

∵ The rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ t = 1

- Substitute all of these values in the formula of interest above

∴ $I_{market}$ = y(0.05)(1)

∴ $I_{market}$ = 0.05y

∵ Her annual income is $1070

- Add the interest of ABC's stock and the interest of her market

account, equate the sum by 1070

∴ 0.13x + 0.05y = 1070 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -0.05 to eliminate y

∵ -0.05x - 0.05y = -750 ⇒ (3)

- Add equations (2) and (3)

∴ 0.08x = 320

- Divide both sides by 0.08

∴ x = 4000

- Substitute value of x in equation (1) to find y

∵ 4000 + y = 15000

- Subtract 4000 from both sides

∴ y = 11000

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

7 0

3 years ago

Jennifer has measured the amount of rain water in several different beakers for a science experiment. The amounts she measured a

andreev551 [17]

The answer is D.1.29 liters..hope that helped

3 0

3 years ago

ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tos

snow_tiger [21]

Given:

The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.

To find:

The probability $P(T=3)$ .

Solution:

In the given table T represents the number of tails.

From the given table it is clear that the value of probability is $\dfrac{1}{8}$ and $T=3$ . So,

$P(T=3)=\dfrac{1}{8}$

Therefore, the probability $P(T=3)$ is equal to $\dfrac{1}{8}$ .

3 0

3 years ago

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25

sergey [27]

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

<h3>What are the coordinates of vertex for a quadratic function?</h3>

For a quadratic function of the form $y = ax^2 + bx + c$ , its vertex form is obtained as:

$y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$

For the form $y = a(x-h)^2 + k$ , the vertex has coordinates (h, k)

Thus, for the obtained equation $y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$ , we get the coordinates of vertex as:

$h = -b/2a$ , $k = c - a\times(b/2a)^2$

Thus, the coordinates of vertex of $y = ax^2 + bx + c$ is:

$(h,k) = (-b/2a, c - a \times (b/2a)^2 )$

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. $f(x) = a(x+1)(x-5)$
Substitute x = 0, y = f(x) = -25 to determine a. $-25 = a(0+1)(0-5)$
Simplify and solve to find a. $a=5$
Rewrite the function. $f(x) = 5(x+1)(x-5)$
Rewrite in standard form. $f(x) = 5x^2-20x-25$
Find the x-coordinate of the vertex. $x = -20/2(5) = -20/10; x = -2$
Find the y-coordinate of the vertex.

$y = 5x^2-20x-25$

$y = 5(-2)^2-20(-2)-25$

$y = 35$

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function $f(x) = 5x^2-20x-25$ ,

Comparing this to $f(x) = ax^2 + bx + c$ , we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

brainly.com/question/9912128

6 0

3 years ago

A shipping container will be used to transport several 40-kilogram crates across the

Aliun [14]

25500-10900=40x
14600=40x
x=365

3 0

3 years ago