Answer:
-12
Step-by-step explanation:
Let x be "the number."
"Three times a number" means 3x
"is 24 less than the number" means = x-24
Put them togehter:
3x = x-24
2x = -24
x = -12
Check: Is 3(-12) = 24 less than -12? YES.
Answer:
A. fourteen sixteenths
Step-by-step explanation:
Hope I helped you out!
~PumpkinSpice1
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Answer:
23
Step-by-step explanation:
-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.
-We apply the formula for surface area and equate to solve for x:
#Equate to zero as below:
length dimensions are always positive.
Hence, the value of x is 23
Answer:
3/2 = 6/4
Step-by-step explanation:
Given that ∆BDE ~ ∆BAC by dilation of a scale factor of 2, it means therefore that:
BA/BD = BC/BE = AC/DE = 2
BD = 2
BA = 2*BD = 2*2 = 4
BE = 3
BC = 2*BE = 2*3 = 6
DE = 3.61
AC = 2*DE = 2*3.61 = 7.22
Also:
<D = <A,
<E = <C
=>Find tan <D, and tan <A using trigonometric function to determine which proportion gives us tan<D = tan<A
Tan<D = opposite/adjacent
Tan<D = BE/BD
Tan<D = 3/2
Tan<A = opposite/adjacent
Tan<A = BC/BA
Tan<A = 6/4 = 3/2
<em>Therefore, the proportion that proves that tan<D = tan<A is:</em>
<em>BE/BD = BC/BA = 3/2 = 6/4</em>
Answer:To make 5 batches, Jude needs to use 20 packages of pre-mixed mortar.
Jude uses 9 quarts of water to make 3 batches of cement
If jude uses 16 packages of pre-mixed mortar, he will need to use 12 quarts of water
To make 0.5 batch of cement , Jude should use 2 packages of pre-mixed mortar
Step-by-step explanation:
