Answer:
x=10
Step-by-step explanation:
part 1:
4x+3=5x-7
(subtract 4x from 5x to get 1x and add 7 to 3 to get 10)
1x=10
x=10
part 2:
WX=4(10)+3=43
XY=5(10)-7=43
WY=7(10)-66=4
An isosceles triangle, have two congruent sides.
The value of x is 23The measure of each side is 95, 95 and 108From the question, we have the following highlights
[tex]\mathbf{WX = WY}[/tex]
[tex]\mathbf{WX = 3 + 4x}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
(a) Find x
We have:
[tex]\mathbf{WX = WY}[/tex]
Substitute values for WX and WY
[tex]\mathbf{3 + 4x = 7x - 66}[/tex]
Collect like terms
[tex]\mathbf{7x - 4x = 3 + 66}[/tex]
[tex]\mathbf{3x = 69}[/tex]
Divide both sides by 3
[tex]\mathbf{x = 23}[/tex]
Hence, the value of x is 23
(b) The measure of each side
Substitute 23 for x in:
[tex]\mathbf{WX = 3 + 4x}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
[tex]\mathbf{W = 3 + 4 \times 23}[/tex]
[tex]\mathbf{W = 95}[/tex]
[tex]\mathbf{XY = 5x - 7}[/tex]
[tex]\mathbf{XY = 5 \times 23 - 7}[/tex]
[tex]\mathbf{XY = 108}[/tex]
[tex]\mathbf{WY = 7x - 66}[/tex]
[tex]\mathbf{WY = 7 \times 23 - 66}[/tex]
[tex]\mathbf{WY = 95}[/tex]
Hence, the measure of each side is 95, 95 and 108
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One number is 4 less than a second number. twice the second number is 19 less than 5 times the first. find the two numbers.
Arthur is treating his friends to a meal at Chez Rich. The meals added up to $152.30. If he tips the waiter 15%, what is the amount of the tip.
a. $20.80
b. $15.24
c. $22.85
d. $13.37
Answer:
Option C. $22.85
Step-by-step explanation:
Arthur is treating his friends to a meal at Chez Rich.
The meals added up to = $152.30
He tips the waiter = 15% of the bill
The amount of the tip = 15% × 152.30
= 0.15 × 152.30
= 22.845 ≈ $22.85
The amount of the tip would be $22.85.
Option C. $22.85
If 3^2x+1=81, what is the value of x?
x=1/4
x=1/2
x=3/2
x=2/3
Thomas paid $5 for a multicolor file folders. There were 100 folders in the box .what was the cost of each folder?
When matter changes state, what two things are always conserved?
In a change of state, mass and energy are the two things that are always conserved, in accordance with the law of conservation of matter and the first law of thermodynamics, respectively.
When matter changes state, the two things that are always conserved are mass and energy. This is explained by the law of conservation of matter, which states that the total mass of the products must equal the total mass of the reactants in a chemical reaction, and the law of conservation of energy, often referred to as the first law of thermodynamics.
In any given closed system, neither mass nor energy is created or destroyed, but can be transformed from one form to another. For example, when a substance burns, its matter is not lost but is instead transformed into other substances with the same total mass. Likewise, energy can be moved or transformed, but the total amount of energy remains constant. These principles apply to both living and non-living systems, keeping the total quantity of matter and energy fixed in the universe.
A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.
Answer:
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Step-by-step explanation:
Volume of rectangular prism = Length x Width x Height
[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]
Substituting
[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
How to write three times the difference of two times m and five is equal to eight times m to the second power increased by four in a problem?
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.
PLEASE HELP QUICK!!!!!
WILL GIVE BRAINIEST TO FIRST ANSWER
Solve the inequality below for t.
9 - 7t > -9 - 4t
A. t is greater than or equal to 0
B. t is less than or equal to 0
C. t is grater than or equal to 6
D. t is less than or equal to 6
Without graphing, find the slope of each line described below.
A) A line that goes through the points (4,1) and (2,5)
B) A line that goes through the origin and the point (10,5)
C) A vertical line that goes through the point (6,-5)
D) A line that goes through the points (1,6) and (10,6)
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
What is Slope?
Slope is defined as the steepness of the line.
Since, Slope of line passes through points (x₁ , x₂) and (y₁ , y₂) is;
m = (y₂ - y₁) / (x₂ - x₁)
Now,
A) The slope of line that goes through the points (4, 1) and (2, 5) is;
m = 5 - 1 / 2 - 4
m = 4 / -2
m = - 2
B) The slope of line that goes through the (0, 0) and the point (10, 5) is;
m = 5 - 0 / 10 - 0
m = 5 / 10
m = 1 / 2
C) A vertical line that goes through the point (6,-5) has undefined slope.
Because the horizontal change is 0 and we cannot divide a number by 0.
D) The slope of line that goes through the points (1, 6) and (10, 6) is;
m = 6 - 6 / 10 - 1
m = 0 / 9
m = 0
Thus,
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
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Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min
Graph f(x)=−0.25x+4.
Answer:
Point, (0,4) and (-4,5), just took the test
The question that says " a school has 1200 pupils "
Compute the mean, variance, and standard deviation for the following data set. Round all answers to the nearest tenth. {85,95,90,70,75,95,85,85,95,90,70,75}
Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost
True or False: Is the number 2 a solution to 7≥−3k
I'm not sure about this. Please explain
If a parent function is y=2x which is the function of the graph
if the line is on the positive side then your answer is "y=2^x+1 +2"
if the line is on the negative side your answer is "y=2^x-1 +2"
Positive always goes with positive
What is the best approximation for the measure of angle ABC?
Write an equation of the line that passes through the points (−3,12) and (0,6)
An equation of the line is y=
Solve for x: −3 |x + 7| = −12
What is 334.54 + 198 grams
How many 1/3 pound paperback books together weigh 25 pounds?
We can find the quantity of 1/3 pound paperback books that weigh a total of 25 pounds by performing the calculation, 25 ÷ 1/3 or equivalently, 25 x 3, which equals 75. Therefore, we would need 75 of these books to total 25 pounds.
Explanation:To find out how many 1/3
pound
paperback
books weigh a total of 25 pounds, we use division. Since each book weighs 1/3 of a pound, we divide the total weight we want (25 pounds) by the weight of each individual book (1/3 pound). So, our calculation would look like this:
25 ÷ 1/3
. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 1/3 is 3/1, or just 3. So, our calculation is now:
25 x 3
. Multiplying 25 by 3 gives us 75. So, we would need
75
of these paperback books to
weigh
a total of 25 pounds.
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Please help, this is due in 5 minutes
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
Answer: the answer is 1.18p
Step-by-step explanation:
It is trust me (;
The slope of the line below is –. Write a point-slope equation of the line using the coordinates of the labeled point.
A. y + 4 = 8/7 –(x + 4)
B. y – 4 = 8/7–(x – 4)
C. y – 4 = 8/7(x – 4)
D. y + 4 = 8/7(x + 4)
Simplify 4x2(2x2− 8x + 6). 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = eight divided by x squared + 2
What is the square root of 53 rounded to the nearest hundreth
Solve for x. 5x−2(x+1)=1/4
What is the slope of this graph?