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AfilCa [17]
3 years ago
9

A driving distance is 650km. The distance shown on a map is 4 cm. Express the map scale in words.

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0
650 kilometers divided by 4 centimeters. / 650 ÷ 4 (for your answer).
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Solve the system by substitution...
Nataly_w [17]

Answer: 14

Step-by-step :x +3 y = 15 , 2 x -y =14

but let me know if it's right ok

6 0
3 years ago
Jennifer sold 57 pieces of art if she sold twice as many paintings as sculptures how many painting did she sell??
Westkost [7]

so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.

we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

\bf \cfrac{paintings}{sculptures}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}\implies \cfrac{2\cdot 19}{1\cdot 19}\implies \cfrac{\boxed{38}}{19}

3 0
3 years ago
A video game sets the points needed to reach the next level based on the function g(x) = 7(3)^x − 1, where x is the current leve
inna [77]
Well, using the current level function of g(x), the player on level 4 will then need 7(3)⁴-1 to get to the next level.

however, if the player is using the hardest setting, the hardest setting promises to quadruple any points on the current level, so, he/she will only need a quarter of 7(3)⁴-1.

now, 7(3)⁴-1 is 566, however, you don't need all 566 in hardest setting, you can do with only 566/4, since the hardest setting will give you 4x or quadruple of the amount of points.
5 0
3 years ago
A planter in the shape of a cube has a volume of 1,000 inches to the 3 power. Is the area of the base of the cube greater than o
GuDViN [60]
When the solid is a cube,its volume is equal to its side raised to the power of 3. The equation is written below:

V = s³

Since 1,000 is raised to the power of 3, then it means that the side length is equal to 1,000 inches. The base of the cube is also a square. Thus, its area is s². Note that there are 12 inches in 1 ft.

A = (1000 in * 1ft/12 in)² = 6,944.44 ft²

Thus, the area of the base is greater than 1 square foot.
6 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by thir
nevsk [136]
The equation of an ellipse is:
(x-h)²/a² + (y-k)²/b², where h, k are the coordinates of the center, a & b represent half of the major & minor axis respectively.
The given equation is:
x²/100 + y²/36 = 1.( a =10 and b = 6)

CENTER: Since h and k = 0, then the center of this ellipse is the origin (0,0)

VERTICES: a² = 100, → a = +10 and a = -10, then the right vertex is (10,0) and the left vertex is (-10,0)

FOCI: The distance "c" from the center to the focus is given by the following:

c² = a² - b²

c² = 100 - 36 = 64  and c = +8 and - 8

The coordinate of the right focus F₁(8,0) and F₂(-8,0) for the left focus
6 0
3 years ago
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