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3 years ago

What is 5/7-(-1/7) as a fraction?

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

$\frac{5}{7} - \frac{1}{7}$

elena55 [62]3 years ago

6 0

Hopefully this helps

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Find the surface area of the figure. 12 in. SA = [ ? ]in.? 5 in. 16 in.

tekilochka [14]

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

= 2(332)

= 664 in.²

5 0

2 years ago

Solve (26/57)=(849/5x)

Gnesinka [82]

Cross multiply 26*5x = 849 * 57 130 x = 48393 x = 48393 / 130 x = 372.25

4 0

2 years ago

Read 2 more answers

Write an equation of the circle with center (-6, 2) and diameter 10.

marshall27 [118]

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

Finding the radius of the circle.

Diameter: 10 units
Radius: 10/2 units = 5 units

Creating the equation:

(x – h)² + (y – k)² = r²
=> (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

6 0

1 year ago

Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s

timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

$y = 2x + 5$ --- equation

$y = 5$ --- y intercept

$m = 2$ --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

$(x_1,y_1) = (15,35)$

$(x_2,y_2) = (0,5)$

The slope (m) is:

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

$m = \frac{5-35}{0-15}$

$m = \frac{-30}{-15}$

$m = 2$

So, the line of best fit is:

$y = m(x - x_1) + y_1$

Substitute known values:

$y = 2(x - 0) + 5$

$y = 2(x) + 5$

$y = 2x + 5$

The y-intercept is when $x=0$

So, we have:

$y = 2*0 + 5$

$y = 0 + 5$

$y = 5$

6 0

2 years ago

Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?

VikaD [51]

$\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}$

$\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}$

Hence, Jake's running time in decimal is: 3.2 hours

4 0

2 years ago