14)
The missing value is 42.
15)
The missing value is 17.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
14)
0.5 x ( 8 + ___ ) = 25
We will write in terms of x.
0.5 x (8 + x ) = 25
8 + x = 25/0.5
8 + x = 50
x = 50 - 8
x = 42
15)
165 = 5 x ( 16 + __ )
We will write in terms of x.
165 = 5 x ( 16 + x )
165/5 = 16 + x
x = 33 - 16
x = 17
Thus,
The missing value of x is 42 and 17.
Learn more about expressions here:
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You are working for the company Trinity Mathematical Concepts are
asked for create the following logo for the company. If each vertices of the triangle are the centers of the circles, what is the area of the shaded region?
Your answer will be in terms of "x", where "x" is the radius of the circles.
Answer:
[tex](2\pi -3\sqrt{3})x^2/4[/tex]Step-by-step explanation:
The sides of the triangle in the middle are equal to x so tis is equilateral triangle.
Its interior angle is 60°.
Each shaded part is the area of 60° segment of circle with the radius x.
The area of each segment is the difference between 60° sector and the area of triangle.
[tex]A_{segment}=A_{sector}-A_{triangle}[/tex]Area of sector
[tex]A_{sector} = (60/360)*\pi r^2=(1/6)\pi x^2[/tex]Area of triangle
[tex]A_{triangle}=(\sqrt{3}/4)a^2= (\sqrt{3}/4)x^2[/tex]The shaded area is
[tex]A = 3((1/6)\pi x^2 - (\sqrt{3} /4)x^2)=((1/2)\pi -3\sqrt{3} /4)x^2=(2\pi -3\sqrt{3})x^2/4[/tex]helpppppppppppppppppppppppppppppppppppppppppppppppppppp
find four rational number between -1/7 and 2/7...
Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.
======================================================
Rational numbers between -1/7 and 2/7 : -
-0.1-0.0500.050.10.150.20.25Make a number line and find the numbers between the two given numbers.
I need help with this so it said 36 is 9 times more than this number
Answer:
36 is 9 times more than 4
Step-by-step explanation:
9 * ?? = 36
to find the unknown number we solve:
36/9 = 4
so 9 times 4 equals 36
means that 36 is 9 times more than 4
HOPE THIS HELPS :)
Answer:
4
Step-by-step explanation:
9x4=36. I corrected both the guys before me who messed up
Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a and b are legs, c is the hypotenuse
[tex]9^{2}[/tex] + [tex]11^{2}[/tex] = [tex]c^{2}[/tex]
81 + 121 = [tex]c^{2}[/tex]
202 = [tex]c^{2}[/tex] ( square root each side [tex]\sqrt{202}[/tex]
14.2126704036 = c
c = 14.2
can y’all help me answer question 4 pleas e
Answer:
b = a + 13
Step-by-step explanation:
bc 1 + 13 = 14
Hope this helps !
Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42
Answer:
The answer for the first part is 2/5
Step-by-step explanation:
Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5
PLEASE MARK AS BRAINLIEST
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
Which property of addition is shown below?
If x = a + bi and y = –a – bi, x + y = 0.
commutative property
identity property
associative property
inverse property
Answer: D
Step-by-step explanation:
Can someone please help me I will give u brainest please
Answer:
1/24
Step-by-step explanation:
1/2x1/2x1/6
"1/2" for which marble you choose
"1/2" for what the spinner lands on
"1/6" for what number the dice rolls
the 7th grade has 207 students. there are 23 more girls than boys in the grade. how many boys are in the 7th grade
Answer:
92 boys
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
Answer:
42 boys
Step-by-step explanation:
Represent the number of boys with 'b' and that of girls with 'b + 23.'
Then b + (b + 23) = 207.
Simplifying, we get 2b = 84, so that b is 42. There are 42 boys and
(42 + 23) girls, or 65 girls.
You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
How to determine the distance AC?To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
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Abraham is three times as old as Sylvia.
In eight years' time, Abraham will be
twice as old as Sylvia. How old is
Abraham?
Answer:
24 years old
Step-by-step explanation:
let x = age of abraham, y = age of sylvia
x = 3y
x + 8 = 2y+16 => (2(y+8))
3y + 8 = 2y + 16
y = 8
x = 3(8)
x = 24
hello, people, can you help me please if you get it right I will give you the CROWN
Answer:
[tex]\sf 343\dfrac{3}{4} \ mi[/tex]
1 inch = 125 miles
[tex]\rightarrow \sf 2\dfrac{3}{4} \ * \ 125[/tex]
[tex]\rightarrow \sf \dfrac{11}{4} \ * \ 125[/tex]
[tex]\rightarrow \sf \dfrac{1375}{4}[/tex]
[tex]\rightarrow \sf 343\dfrac{3}{4} \ mi[/tex]
Answer:
Option A
Step-by-step explanation:
Given:
1 inch = 125 milesTo avoid confusion, let's convert 2 3/4 into decimals. To convert a fraction into decimals, multiply and divide the fraction by 100.
⇒ (2 3/4 x 100)/100 = (11/4 x 100)/100 = (1100/4)/100 = 275/100 = 2.75
Now, multiply 2.75 to both sides of the equation "1 inch = 125 miles", as we need to find the actual distance of 2.75 inches
⇒ 1 inch = 125 miles
⇒ 1 × 2.75 = 125 × 2.75
⇒ 2.75 inches = 343.75 miles
The options given are in fraction form. So, we need to reconvert 343.75 into fraction form. Once again, multiply and divide the decimal by 100.
⇒ (343.75 × 100)/100 = (34375)/100
We can clearly tell that this is a mixed fraction because 34375 is greater than 100. To convert this fraction into mixed fraction, let's write the expanded form of this fraction.
⇒ (34375)/100 = 34000/100 + 300/100 + 75/100
⇒ (343 x 100)/100 + 75/100
⇒ 343 + 75/100 = 343 + 3/4
⇒ 343 3/4 miles (Option A)
A football team loses 5 yards on each of 3 consecutive plays.
What signed number represents the team's total loss of yards on the 3 plays? Write you
Part A
answer in the space provided.
Part B
Explain how you found your answer. Write your answer in the space provided.
Part A
Using proportions, it is found that the signed number -15 represents the team's total loss of yards on the 3 plays.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in one play, the team lost 5 years, that is, the amount is -5. What is the amount on three plays? The rule of three is given by:
1 play - -5 yards
3 plays - n yards
Applying cross multiplication:
n = 3 x (-5) = -15.
The signed number -15 represents the team's total loss of yards on the 3 plays.
More can be learned about proportions at https://brainly.com/question/24372153
Carl Lewis one United States of America greatest athletes in Track and field,Ran a hundred meters in 10.1 seconds,
at this speed what is his rate in
kilometers per
hour?
Answer:
35.64 km / hour
Step-by-step explanation:
100m = 10.1s
100/10.1 m per second
3600 seconds in a hour
100/10.1 X 3600 = 35643.56436
= 35.64356436 km per hour
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Answer:
First option
Step-by-step explanation:
Given the following question:
[tex]x+3=5[/tex]
To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.
[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]
Which means your answer is the first option or "subtract 3 from both sides."
Hope this helps.
Order the steps to solve the equation
log(x^2-15)= log(2x) form 1 to 5
x^2-2x-15=0
Potential solutions are -3 and 5
x^2-15=2x
x-5=0 or x+3=0
(x-5)(x+3)=0
Answer:
Step-by-step explanation:
When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:
[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]
Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:
[tex]x^2-15=2x[/tex]
Subtract 2x on both sides to get:
[tex]x^2-2x-15=0[/tex]
Use the quadratic formula to solve for 'x' to get:
[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]
[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]
Beginning with the first solution:
[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=2+\sqrt{4+60} )/2[/tex]
[tex]x=(2+\sqrt{64}) /2[/tex]
[tex]x=(2+8)/2[/tex]
[tex]x=5[/tex]
Second solution:
[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=(2-\sqrt{4+60} )/2[/tex]
[tex]x=(2-8)/2[/tex]
[tex]x=-6/2[/tex]
[tex]x=-3[/tex]
Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2
2
1) You have a 24 foot round swimming pool
that is four feet deep. What is the surface
area of the sides and bottom of the pool?
Round to the nearest tenth of a foot.
Answer:
The surface area is 301.4ft
Step-by-step explanation:
To find the surface area of a circular pool, you multiply the diameter and depth and then multiply by 3.14.
24*4 = 96
96*3.14 = 301.44
Solve for x. Leave your answer in simplest radical form.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Answer:
x = 7
Step-by-step explanation:
I used the formula c^2 = a^2 + b^2
if you need further explanation,let me know
Question 3:
Solve for e.
m=-2e+c/3
Answer:
5
Step-by-step explanation:
The electrician charges a $20 service fee, plus $60 per
hour for electrical repairs, shown by the equation below.
Solve the equation 60h + 20 = 140 and explain the
meaning of the solutions• (What does h represent?
What do the numbers in the equation represent, etc.)
Now let's change this equation into an inequality:
60h + 20 < 140
How does the change from an equation to an inequality
impact the meaning? Give one scenario that could
account for the less than sign.
Answer:
1a) h = 2
1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.
2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.
2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140
Step-by-step explanation:
60h+20=140
60h=120
h=2
Sam filled 4 large bottles and 6 small bottles with 6.8 litres of orange juice . Each large bottle could hold 0.5 litres more than each small bottle. How much orange juice can a small bottle hold?
Answer:
0.48 litres
Step-by-step explanation:
let the large bottles be x and small bottles be y
4x + 6y = 6.8
x = 0.5 + y
so substituting x in equation 1:
4(0.5 + y) + 6y = 6.8
2 + 4y + 6y = 6.8
10y = 4.8
y = 0.48
please help. 50 points on the line
Answer:some where from 65-75 feet
Step-by-step explanation:
PLEASE HELP
Circle each correct surface area. Draw and label the net for each figure if needed. The first one is done for you.
for a area and perimeter math question what is 2/3x2/3????????
Answer:
4/9
Step-by-step explanation:
2/3 × 2/3 is 4/9
2×2 is 4 and 3×3 is 9
what make this equation true? 4s+3=63
★ 1st solve the given equation to find value of "s".
[tex]\sf{⇝4s+3=63} \\ \\ \sf{⇝arranging \: terms} \\ \\ \sf{⇝4s=63-3} \\ \\ \sf{⇝4s=60} \\ \\ \sf{⇝s=\cancel\frac{60}{4}} \\ \\ \sf{⇝s=15} \\ \\ [/tex]
★ substituting s= 15 to check whether the equation is true or not?
4(15)+3=6360+3=6363=63 LHS=RHS★ hence,the above equation is true !
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
WRITE INEQUALITY AND SOLVE• Lamar weighs 250 pounds. If he loses 10 pounds
and then 2 pounds per week after that, how many
weeks will it take him to weigh less than 175 pounds?
Answer:
40 weeks
Step-by-step explanation:
2 x 40 = 80
240-80=160
so for him to get under 175 it could be 40
i am so sorry if this is inccorect.