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Lera25 [3.4K]
3 years ago
5

Maryam made a fruit salad with 1 pound of melon and 8 2/5 pounds of berries. How many pounds of fruit did Maryam use in all?

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

9 2/5 lb

Step-by-step explanation:

Both melon and berries are "fruits."

The total weight of the fruit used is thus 1 lb + 8 2/5 lb, or 9 2/5 lb.

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Convert 6 x 10 to the power of 5 into standard form
WINSTONCH [101]

First let's write it out with just numbers

6×10^{5}

Now solve!

Solve exponent first

10^5 = 100,000

Now multiply

6 x 100,000 = 600,000

600,000 is your answer

6 0
3 years ago
Complete the statement using always, sometimes, or never. A rectangle is __________________ a rhombus.
Lesechka [4]
Hi!

A rectangle can sometimes be a rhombus if it has sides of all equal lengths. If a rectangle was a rhombus, it would also be a square. Furthermore, a square is always a rhombus.

Hope this helps! :)
7 0
3 years ago
The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.
pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

m_{1}\times m_{2}=-1

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

m_{normal} \times m_{tangent}=-1

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

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

         =\frac{8-4}{-6+6}

          = ∞

Slope of the normal is infinity and hence slope of tangent is -1/∞ = 0

Hence m=0

Putting m=0 in equation 1 we get:

c = 8

The equation of tangent line at (-6,8) is:

y = 8

6 0
3 years ago
Which inequality is shown in this graph
Katena32 [7]

ANSWER

y \leqslant   - 2x - 2

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

m =  \frac{ - 2 - 2}{0 -  - 2}

m =  \frac{ - 4}{2}  =  - 2

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

y = mx + c

We substitute values to obtain;

y =  - 2x - 2

Since the lower half-plane is shaded the required inequality is

y \leqslant   - 2x - 2

7 0
3 years ago
John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?
dimulka [17.4K]
Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4
3 0
3 years ago
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