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svetlana [45]
3 years ago
6

Dave is helping his grandmother make trail mix. His grandmother ask

Mathematics
1 answer:
Flura [38]3 years ago
7 0

9514 1404 393

Answer:

  3/5 cup of fruit

Step-by-step explanation:

Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:

  3/5 cup of fruit for 1 cup of nuts

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The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR
vfiekz [6]

Answer:

y = \frac{3}{4} x+ \frac{7}{4}

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = \frac{3-(-1)}{2-5} =-\frac{4}{3}

Therefore, the slope of the altitude passing through Q(-1,1) will be \frac{3}{4} {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is y=\frac{3}{4} x + c where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get  

1 = -\frac{3}{4} + c

⇒ c=\frac{7}{4}

Therefore, the equation of the altitude is y = \frac{3}{4} x+ \frac{7}{4} (Answer)

6 0
3 years ago
Determine the x- and y-intercepts of the graph of y = 1/4x - 2
Olegator [25]
8,-2. place the x as 8 and y as -2.

8 0
3 years ago
Read 2 more answers
A car is traveling at 70 ​mi/hour. What is the​ car's speed in feet per​ second?
Pepsi [2]
70 miles per hour
5280 feet per mile
5280 x 70 = 369600 feet per hour
3600 seconds per hour
369600 divided by 3600 =
102.67 feet per second (rounded to the nearest hundredth)
3 0
3 years ago
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S Rob and Bob together scored 88
Paul [167]
Rob scored 34 points. 88-54=34
3 0
3 years ago
Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).
kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Finding the lengths of the segments

For AB

AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14

For BC

BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28

For CD

CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12

For DA

DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0
3 years ago
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