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nikitadnepr [17]
3 years ago
15

4th grade math question:

Mathematics
2 answers:
sdas [7]3 years ago
8 0

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

BARSIC [14]3 years ago
7 0

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

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Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1
lubasha [3.4K]

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

The line intersects y-axis at \left( {0, - 1} \right). Therefore, the y-intercept is -1.

The line passes through the points \left( {0, - 1} \right) and \left( {3,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}

Substitute \dfrac{1}{3} for m, 3 for x and 0 for y in equation y = mx + c to obtain the value of c.

\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}

To check whether the equation includes origin substitute 0 for x and 0 for y in equation y \geqslant \dfrac{1}{3}x - 1.

\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}

The statement is true. The equation contains origin.

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

7 0
4 years ago
Read 2 more answers
What is the solution of 5x-1 &gt;O?<br> O x5-8 or x&gt;<br> © xx-8 or x<br> o -85 x &lt; 1/3<br> -8
ElenaW [278]

Answer:

x >1/5

Step-by-step explanation:

5x-1 >0

Add 1 to each side

5x-1+1 >0+1

5x >1

Divide each side by x

5x/5 >1/5

x >1/5

4 0
3 years ago
Read 2 more answers
Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric sto
nekit [7.7K]

Answer:

<em>159 feet of fabric</em>

Step-by-step explanation

We are told that 1 curtain is 36inches long

Since 1 foot = 12inches

x foot = 36inches

Cross multiply;

12 * x = 36

12x = 36

x = 36/12

x = 3

Hence 36inches is same as 3 feet

If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;

1 curtain = 3feet

53 curtain = y

y = 53 *3

<em>y = 159 feet</em>

<em>Hence she will need 159 feet of fabric</em>

<em> </em>

8 0
3 years ago
How many different license plates are possible if a license plate consists of 2 capital letters followed by 5 digits?
Alina [70]

The first letter can be any one of 26 letters.  For each one . . .
The second letter can be any one of 26 letters.  For each one . . .

The first digit can be any one of 10 digits.  For each one . . .
The second digit can be any one of 10 digits.  For each one . . .
The third digit can be any one of 10 digits.  For each one . . .
The fourth digit can be any one of 10 digits.  For each one . . .
The fifth digit can be any one of 10 digits.

The total number of possibilities is

                   (26 x 26 x 10 x 10 x 10 x 10 x 10) =

                   ( 26² x 10⁵) = (676 x 100,000) = <em>67,600,000</em> .


6 0
4 years ago
Read 2 more answers
Find the value of f(3) for the function.<br> f(x) = -2(x + 3)
BabaBlast [244]

Answer:

-2(3+3) = -12

Step-by-step explanation:

f(x) is telling you to substitute all the x values into the equation. The f(x) of the function is 3, telling you to plug in 3 in the equation. This leads to -2(6) = -12.

6 0
3 years ago
Read 2 more answers
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