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photoshop1234 [79]
3 years ago
11

Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua d

eposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?
Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

$55 beacause he deposit 50 and 90

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
2 years ago
Does x+y=1 have an x-intercept of (1,0) and y intercept of (0,1)?
aivan3 [116]

Answer:

Yes

Step-by-step explanation:

To find the y intercept of this formula, you first need to convert it into slope intercept form.

x+y=1

y=-x+1

Here, the slope is negative 1 and the y intercept is (0,1). If you imagine the line with a slope of negative 1, it will indeed cross the x axis at (1,0). Hope this helps!

4 0
3 years ago
A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur
stellarik [79]

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

8 0
3 years ago
Please help I mark brainliest ​
Lemur [1.5K]

Answer:

graph a

Step-by-step explanation:

y has to be less than the line

postive slope

the only graph that has both is graph a

6 0
3 years ago
Read 2 more answers
Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 14 inches by 11 inches
kati45 [8]

Answer:

Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

Step-by-step explanation:

Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:

1 square yard = 1296 square inches

14 x 11 x 13 = X

154 x 13 = X

2.002 = X

2.002 / 1.296 = 1.54

Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

7 0
3 years ago
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