The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
7 ²/₅ = (2/3) x - 4 ¹/₂
Simplify the expression,
37/5 = (2/3)x - 9/2
37/5 + 9/2 = (2/3)x
(74 + 45) / 10 = (2/3)x
119 / 10 = (2/3)x
357/20 = x
x = 357 / 20
x = 17.85
The simplest form for the value of x, of the given expression, is 357 / 20.
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Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
1/3 of 12= 2/3 of
how do I do this I've forgotten please help
Answer:
6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.
Step-by-step explanation:
Help plz.
3:5=____%
Answer:
3:5=_____%
Step-by-step explanation:
3:5 equal to 60%
if x+y=5,and xy=10, find the value of x2+y2
Answer:
Step-by-step explanation:
x+y=10-----(1)
xy=5------(2)
dividing (1) by(2)... we get!
x/y+ y/x=10/5
=>2
we have :[tex]x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5[/tex]
ok done. Thank to me :>
what equation is equal to 2x+3y=12
Answer:
y=-2/3x+4
Step-by-step explanation:
2x+3y=12 --- rewrite so it looks like y=mx+b
3y=-2x+12
y=-2/3x+4
Please solve: 7x - 4 = 2
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
Solve for x.
5 = 2x − 3
(✿◡‿◡)
Answer: x=4
Step-by-step explanation:
find the equation with a diameter that has endpoints located at (2,8) and (2,-4)
Answer:
32.4/-4.6 nearest circumfrence :)
Step-by-step explanation:
hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !
PLEASE HELP! 20 POINTS
What is the x-intercept of the line with this equation -2x+1/2y=18?
Enter your answer in the box
( ,0)
Answer:
x - intercept = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
- 2x + [tex]\frac{1}{2}[/tex] (0) = 18
- 2x + 0 = 18
- 2x = 18 ( divide both sides by - 2 )
x = - 9 or (- 9, 0 ) in coordinate form
How do u solve this? pls LOL
Answer:
8
Step-by-step explanation:
HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .
Hence the smaller and the larger triangle will be similar to each other.
Also we know the corresponding sides of similar triangles are proportional .
=> 10 / z = 10+5/12
=> 10/z = 15/12
=> z = 10 *12/15
=> z = 8 yards
Answer:
8
Step-by-step explanation:
PLZ HELP DUE SOOOONNNN (solve for z).
Answer:
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Step-by-step explanation:
Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :
The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:
[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]
[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]
4x = 3yz²
Next, divide both sides by 3y:
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]
Lastly, take the square root of both sides to isolate the variable, z :
[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Therefore, the equation for z is: [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
The store owner purchased 26 shirts for $810.68. How much did each shirt cost?
Answer:
$31.18
Step-by-step explanation:
810.68/26=31.18
Answer:
$31.18 e/a
Step-by-step explanation:
ΔCDE was translated down and right to form triangle
ΔC′D′E′ Which statements are true? Check all that apply.
Answer:
1) DE ≅ D′E′
2) EC ≅ E′C′
5) D′C′ ≅ DC
6) ΔCDE ≅ ΔC′D′E′
Hope it helps!
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
How many whole groups can you fit into 51?
Step-by-step explanation:
in one group 17members
in second group 17members
in third group 17members
Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.
Why does the slope intercept forumla use m and b.
Answer:
y=mx+b
Step-by-step explanation:
m=slope
b= y-intercept
Suppose that you randomly selected 22 adults. If 10% of the population smoke, a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 22 adults?
Answer: 2 to 3 people who would be smoking
Step-by-step explanation:
22 divided by 10 = 2.2
and since there could be more
or less so it could be 2 or 3
Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
How much farther did Molly walk than her brother and sister combined?
O 0.38 miles
1.37 miles
O 2.22 miles
O 5.53 miles
Answer:
1.37 miles
Step-by-step explanation:
First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.
50 points if you get this right
Answer:
"A plane does not extend infinitely"
Step-by-step explanation:
Question 1 (3 points) What value of p makes this equation true? 3p - 8 = -23 . O p = -6 Op = -5 Op = 5 p = 6
The value of p that makes the given equation true is equal to: B. p = -5
Given the following equation:
[tex]3p - 8 = -23[/tex]To find a value of p that makes the given equation true:
In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.
Rearranging the equation by collecting like terms, we have:
[tex]3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}[/tex]
p = -5
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Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
The Roosevelts and the Jaspers live in the same city and pay the same sales
Roosevelts made $91,000 and the Jaspers made $37,000 last year, is the
sales tax in their city an example of a regressive tax?
tax rate, and both families made $16,000 in taxable purchases last year. If the If
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
50 POINTS!!
Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference
Answer:
x² + y² = 169
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.
Substitute (12, 5 ) into the equation
12² + 5² = r²
144 + 25 = r²
169 = r²
Then equation of circle is
x² + y² = 169
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Please help me with this question! It's a writing question.
Answer:
That he made a medicine that reduces coughing
Step-by-step explanation:
4. How many y-intercepts can the graph of an absolute value function have?
Answer: a function can only have one y-intercept.
which is not a factor of 36
Answer:
all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step-by-step explanation:
Can someone help me please
Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
find the two numbers such that the sum of the two numbers is 24 and the product of the two nuumbers is 143
Answer:
119
Step-by-step explanation:
first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119