MATHEMATICS MIDDLE SCHOOL

Two-fifths time a plus a over 2 equals a minus 2

Answers

Answer 1
Answer:

Two-fifths time a plus a over 2 equals a minus 2 will be a=20

Step-by-step explanation:

We have to find a, by first writing the verbal expression into an arithmetic form as,

Two fifths times a = (2/5)a

a over 2 = a/2

a minus 2 = a-2

(2/5)a + (a/2) = a-2

We have to take LCM on LHS as 10.

(2×2 /5×2)a + (a×5 /2×5) = a-2

(4a/10) + (5a/10) = a-2

Moving 10 to the other side, we will get,

4a+ 5a = 10(a-2)

9a = 10a -20

Grouping terms we will get,

10a - 9a = 20

a = 20

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The function g(x) = 2^x. The function f(x) = 2^x + k and k < 0. Which of the following statements is true?​

350 is 70% of what number 500
420
245
280

what percent of 64 is 24
267%
62.5%
40%
37.5%

what percent of $6.50 is $2.60
25%
40%
90%
250%

20% of 140 is what answer
280
120
28
12

Answers

The requried solution for each percentage is
1.  350 is 70% of 500          2. 37.5% of 64 is 24
3. 40% of 6.50 is 2.60         4. 20 of 140 is 28.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
We have to determine a number, whose 70% is 350
Let eh number x,

According to the question,
70% of x = 350
x = 350/ 70%
x = 350/0.70
x = 500

Similarly,
37.5% of 64 is 24
40% of 6.50 is 2.60
20 of 140 is 28.

Thus, the requried solution for each percentage is shown above.

Learn more about percentages here:

brainly.com/question/894456

#SPJ2
learn this , it will help u with all of these percent problems.
percent formula : is/of = %/100

350 is 70% of what number....
is = 350
% = 70
of = x
now sub
350/x = 70/100
cross multiply
70x = 35000
x = 35000/70
x = 509....so 350 is 70% of 500.
=====================
is/of = %/100

what percent of 64 is 24...
% = x
is = 24
of = 64
now sub
24/64 = x/100
cross multiply
64x = 2400
x = 2400/64
x = 37.5..so 37.5% of 64 is 24
====================
u get the idea....
the last 2 answers are : 40% and 28

The volume of a pyramid with a square base is 99 mm3 and the height is 9.5 mm. What is the length of each side of the base?

Answers

volume of pyramid is
V=(1/3)LWH
since it is a square pyramid, L=W
V=(1/3)L^2H
H=9.5
V=99

99=(1/3)L^2(9.5)
times 3/1 both sides
297=L^2(9.5)
divide boh sides by 9.5
31.263157894736842105263157894737=L^2
square root both sides
5.5913466977765599922751590799034=L=W

the legnth of each side is 5.5913466977765599922751590799034mm
The formula for the volume of a square pyramid is V=Bh
Plug in the numbers you are given:   99=B(9.5)
Divide (9.5) from both sides: 99/9.5 = B
You get approximately 10.42105
B= s*s = s^2
So, 10.43=s^2
sqrt 10.43=s

S= approx. 3.22

Dayton is due north of Richmond, and Easton is 16 mi due east of Richmond. Dayton is 32 mi from Easton.How far apart are Dayton and Richmond? Round to the nearest tenth of a mile.


mi

Answers

Given:
                          Dayton
                                             --32 mi--                                                                                                   
                                                                                                                                                Richmond  -- 16 mi--           Easton


I can't draw a line but the figure drawn based on the given description is a RIGHT TRIANGLE.

Richmond to Easton is the short leg.
Dayton to Easton is the hypotenuse.
Richmond to Dayton is the long leg.

We are looking for the measure of the long leg. We will use the Pythagorean theorem.

a² + b² = c²
a² + 16² = 32²
a² + 256 = 1,024
a² = 1,025 - 256
a² = 768 mi²
a = √768 mi²
a = 27.71 mi   This is the distance of Dayton from Richmond
D
|
|
|
|
R ---------E

RE = 16mi
DE = 32 mi

DR^2 = DE^2 - RE^2 = (32mi)^2 - (16mi)^2 = 768 mi^2

DR = √(768 mi^2) = 27.7 mi

Help me solve this question what do I do

Answers

the question said estimate so
4 and 1/2 is in the middle so leave it

3 and 5/6 is like 4

so 4 and 1/2-4=1/2 but the answer is actually more less since we made 3 and 5/6 go up
so the answer is more than 1/2

(1/2-1/6 =3/6-1/6=4/6=2/3)
so u need to convert the fractions which are 9/2 and 23/6 then u make them have the same denominator so 9/2=27/6 and 27/6-23/6 = 4/6

How many degree has ABC

Answers

this triangle is obtuse meaning the degree it's currently at is 270°

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seconds number and 5 what which equation can show this x represent the second number

Answers

first number=1/2x+3
first number=1/4x+5
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