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ladessa [460]
2 years ago
9

Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup.

Mathematics
1 answer:
kondor19780726 [428]2 years ago
4 0

Answer:

40 grams

Step-by-step explanation:

y * 25% + x * 10% = 120 * 15%

x = 120 - y

(120-y) * 10% = x * 10%

y * 25% + (120 - y ) * 10% = 120 * 15%

0.25y + 12 - 0.1y = 18

0.15y = 6

y = 6 / 0.15

y = 40

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2 years ago
a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism
Nataliya [291]

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

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7 0
2 years ago
How do I solve 1 and 2?
LuckyWell [14K]
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds

2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.

5 0
3 years ago
What is the answer to this problem?<br>2(-7+x)&gt;-2
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Isolate the variable by dividing each side by factors that don't contain the variable.

x > 6
8 0
3 years ago
Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.
Agata [3.3K]
Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4

Therefore, d = 2(4) = 8 inches.
5 0
3 years ago
Read 2 more answers
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