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Lelu [443]
3 years ago
10

In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season wi

th an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28​
Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

28

Step-by-step explanation:

For Luis to get a mean of 20 he would need:

14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20

Therefore 14 + 18 + 15 + 25 + x = 100

Solve for x to get 28

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carlos and Jacob each improve their yards by planting daylilies and ivy. They bought their supplies from the same stores. Carlos
34kurt

Answer:

Cost of each daylilies = $3

Cost of each ivy pot = $3

Step-by-step explanation:

Given:

Cost of 4 daylilies and 4 ivy = $24

Cost of 4 daylilies and 8 ivy = $36

Find:

Cost of each daylilies

Cost of each ivy pot

Computation:

Assume;

Cost of each daylilies = a

Cost of each ivy pot = b

So,

4a + 4b = 24....... eq 1

4a + 8b = 36 ....... eq 2

Eq2 - Eq1

8b - 4b = 36 - 24

4b = 12

b = 3

So,

Cost of each ivy pot = $3

4a + 4b = 24

4a + 4(3) = 24

4a + 12

a = 3

Cost of each daylilies = $3

6 0
3 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
A line passing through the points (6, –2) and (–2, 4). Complete the work shown: 1. Use slope formula to find the slope. 2. Subst
Dennis_Churaev [7]

Answer:

2.5

Step-by-step explanation:

8 0
3 years ago
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Mrs. Bush uses 9 gallons of gas per day. If she drove for 16 days and went 2,592 miles, how many milos is she able to go on 1 ga
Alex_Xolod [135]

Answer:shes able to go 26 milos on 1 gal of gas

4 0
2 years ago
What is the length of BD?
Ket [755]

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

4 0
3 years ago
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