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serious [3.7K]
3 years ago
12

2x+3y=-12 2x+t=-16 X=. Y= Help plz

Mathematics
1 answer:
8090 [49]3 years ago
8 0

<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>

Answer:

<em>x = -9</em>

<em>y = 2</em>

Step-by-step explanation:

<u>Solve the system:</u>

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

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A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
Ramona and Beezus love to read books. Ramona reads 16 less than 5 times the number of books Beezus reads. Ramona reads 134 books
Fittoniya [83]
I think the answer is 30, because if 134 +16 is 5 times the number of books Beezus reads, than just divide by 4 for the answer of 30
6 0
4 years ago
Read 2 more answers
What is the ratio of the volume of the cylinder to the volume of the cone, when x=2 and y=2? help pls
postnew [5]

Answer:

sorry I really need points

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
A crane lift a pallet of concrete Blocks 8 feet from the back of a truck the truck drives away in the crane lowers the palate 13
levacccp [35]

Answer:

  5 ft below the level of the back of the truck

Step-by-step explanation:

+8 -13 = -5

Relative to the back of the truck, the final position of the pallet is 5 ft below where it started.

6 0
4 years ago
Point B is a point of tangency. Find the radius r of OC.
Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = \frac{576}{36}

r = 16 units

6 0
3 years ago
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