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2 years ago

Use the model to find the product.

Mathematics

1 answer:

Oduvanchick [21]2 years ago

8 0

The value of the product 5/9 × 1/5 is 1/9

<h3>How to determine the product?</h3>

The expression is given as:

5/9 × 1/5 =

Cancel out the common factors

5/9 × 1/5 =1/9 * 1/1

Evaluate the product

5/9 × 1/5 =1/9

Hence, the value of the product 5/9 × 1/5 is 1/9

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At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other

Juli2301 [7.4K]

Let’s call the speed of the slower car S, then the speed of the other is S+10mph.
At 5pm they have been travelling for 3 hours. The slower car travels a distance 3S and the faster one 3(S+10).
But the two distances must add up to 240 miles so 3S+3(S+10)=240, 3S+3S+30=240, 6S=210, S=35 mph. The faster car’s speed is 45mph. We can see that 3S is the same distance as 3x, so x=S=35 mph, and the distance the faster car travels is 3×45=135 miles.

5 0

3 years ago

Read 2 more answers

The sum of three consecutive integer is -204. what is the largest integer? -63 --44--67 -62

Lisa [10]

-x + -x-1 + -x-2 = -204
-3x=-201
x=-67

-67-68-69=-204

5 0

3 years ago

eleanor was curious if triangles DEF and GHI were similiar so she tried to map one figure onto the other using rigid transformat

luda_lava [24]

Answer:

Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.

Step-by-step explanation:

4 0

3 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

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3 years ago

Please someone help! i will give brainliest

frozen [14]

Answer:

Step-by-step explanation:

proportions

5 0

3 years ago