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STatiana [176]
2 years ago
10

Mondo correctly finds the closest benchmarks for three numbers.

Mathematics
1 answer:
Bogdan [553]2 years ago
5 0

Answer:

From greatest to least, the order is:

3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}

Step-by-step explanation:

Given

Closest\ Benchmark \to Number

3\frac{6}{25} \to 3

3\frac{4}{9} \to 4

Required

Order 3\frac{6}{25}, 3.8, 3\frac{4}{9} from greatest to least

From the given parameters, we have:

3\frac{6}{25} \to 3

3\frac{4}{9} \to 4

This implies that:

3\frac{4}{9}\ >\  3\frac{6}{25} --- we know this from the nearest benchmark

Convert 3\frac{4}{9} to decimal

3\frac{4}{9} = 3.44

By comparison;

3.8 >\  3\frac{4}{9}

Hence, the list is:

3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}

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The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true
garri49 [273]

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/

3 0
3 years ago
Read 2 more answers
The radius of the circular track was 157.64 feet find the circumference of the track
DerKrebs [107]
Before we solve for anything, let's remember what our formula is.

The circumference of a circle is 2PiR (2 x Pi x R).

Our radius is 157.64.
Pi is 3.14 (estimated).

Let's plug our numbers into the formula.

Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).

Your circumference is:
989.979 ft^2.

I hope this helps!
7 0
3 years ago
Logx(8x-3)-logx 4=2<br> please help ill give you everything i have !!
Gelneren [198K]
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2

2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2

Answer: Two solutions: x=1/2 and x=3/2
6 0
3 years ago
A scientist needs 60 liters of a 40​% acid solution. He currently has a 20 % solution and a 50 % solution. How many liters of ea
Stella [2.4K]

percent ---------------- quantity

Acid type I 60.00% ---------------- x liters

acid type II 30.00% ------ 60 - x liters

Mixture 40.00% ---------------- 60

Total 60 liters

60.00% x + 30.00% ( 60 - x ) = 40.00% * 60

60 x + 30 ( 60 - x ) = 2400


60 x + 1800 - 30 x = 2400

60 x - 30 x = 2400 - -1800

30 x = 600

/ 30

x = 20 liters 60.00% Acid type I

40 liters 30.00% acid type II

brainliest plzz

6 0
3 years ago
PLEASEEEEE HELPPPP MEEEE!!!! There are 5 friends who decide to split an 88- ounce bag of popcorn. If they split it evenly, how m
timurjin [86]

Answer:

17.6 ounces (U.S.) and or 2.2 cups (U.S.)

Step-by-step explanation:

88 ounces divided by 5 equals 17.6 ounces

88 / 5 = 17.6

The remainder can round the answer to 18 (five or more raise the score -- four or less let it rest) but the 88 ounce bag of popcorn will not be even if everyone gets 18 ounces of popcorn

If everyone were to get 18 then the bag a popcorn would have to have 90 ounces of popcorn in it

*Side note: 8 ounces is 1 cup

3 0
3 years ago
Read 2 more answers
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