Answer:
15 basketballs
Step-by-step explanation:
3:1:4= 8
40/8= 5
3*5=15
1*5=5
4*5=20
15:5:20
Answer:x1 = - 2.5
x2 = 29
x3 = 10
Step-by-step explanation:
2x1 + x2 − 2x3 = 4 - - - - - - - - - - 1
4x1 + 2x3 = 10 - - - - - - - - - - - - - 2
−4x1 + 5x2 − 17x3 = −15 - - - - - - - 3
Adding equation 2 to equation 3, it becomes
5x2 - 15x3 = - 5 - - - - - - - - - - -;-4
Multiplying equation 1 by 4 and equation 3 by 2, it becomes
8x1 + 4x2 − 8x3 = 16
8x1 + 10x2 − 34x3 = −30
Subtracting
- 6x2 + 26x3 = 46- - - - - - - - - - - - 5
Multiplying equation 4 by 6 and equation 5 by 5, it becomes
30x2 - 90x3 = - 30
- 30x2 + 130x3 = 230
Adding, it becomes
20x3 = 200
x3 = 200/20 = 10
Substituting x3 = 10 into equation 4, it becomes
5x2 - 15 × 10 = - 5
5x2 - 150 = - 5
5x2 = - 5 + 150 = 145
x2 = 145/5 = 29
Substituting x3 = 10 into equation 2, it becomes
4x1 + 2 × 10 = 10
4x1 = 10 - 20 = - 10
x1 = - 10/4 = - 2.5
If you do it by 100s
500+300=800
The figure is missing so I attached a helping figure
Answer:
Line segment ST is congruent to line segment UT
Step-by-step explanation:
From the attached figure
∵ ST and UT are tangents to circle K at points S and U
∵ SK and UK are radii in the circle K
- The tangent is perpendicular to the radius at the point of tangent
∴ ST ⊥ KS ⇒ at point S
∴ m∠KST = 90°
∴ UT ⊥ KU ⇒ at point U
∴ m∠KUT = 90°
∴ m∠KST = m∠KUT
In the two triangles KST and KUT
∵ KS = KU ⇒ radii
∵ m∠KST = m∠KUT ⇒ proved
∵ KT is a common side in the two triangles
- That means the two triangles are congruent by HL postulate
of congruence (hypotenuse and leg of right triangle)
∴ Δ KST ≅ KUT ⇒ HL postulate of congruence
- By using the result of congruence
∴ ST = UT
Line segment ST is congruent to line segment UT
Amount of fuel in the tank before the story begins . . . . . zero.
Total amount poured in . . . . . 3/4 gallon.
Total amount burned:
on Friday . . . . . 1/4 gallon
on Sunday . . . . 1/4 gallon
Total used . . 1/2 gallon .
Amount remaining in the tank on Monday:
(3/4 gallon in) - (1/2 gallon burned) = 1/4 gallon left.
==> NOT empty
The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
