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san4es73 [151]
3 years ago
10

James is earning money to buy a $100 bicycle. For each dollar James earns, his mother has agreed to give him $1. So far, he has

earned $14 mowing the lawns and $7 washing cars. How much more money must James earn in order to buy the bicycle?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

he has to earn $78 more.

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Caleb and two friends are sharing a half quart of milk equally what fraction of a quart of milk does each other friend get
AveGali [126]
To find out what fraction of the half quart each friend will get, divide the 1/2 quart into 2 groups.

1/2 divided by 2 is the same as 1/2 x 1/2 or 1/4 quart.

Each friend will get 1/4 quart of milk.
5 0
4 years ago
A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

3 0
3 years ago
lan has a flower pot in the shape of a rectangular prism . The base of the flower pot is 36 square inches . The flower he's plan
JulijaS [17]

Answer:

108

Step-by-step explanation:

  1. volume = area  of the base * height
  2. Area of the base = 36 square inches .
  3. The height = 3 inches
  4. 36 * 3 = 108
4 0
4 years ago
A regular nonagon has a perimeter of 36 cm and an
aniked [119]

Answer:

2.56

Step-by-step explanation:

6 0
3 years ago
At Costco, you can buy a ten-pound bag of Halloween candy for $23.99. Kroger is running a special on the same brand of candy: bu
kirill [66]

Answer:

A. 2.40

B. 4

C. Costco is the better deal

Step-by-step explanation:

23.99/10= 2.399 (rounded to 2.40)

10/2.5 lbs (16 oz = 1 lb) = 4

6 0
3 years ago
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