Answer:
[tex]\huge\boxed{\sf x = 14 , y = 10}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:
x + y = 24 ---------------------(1)Condition # 2:
x = 2y - 6 ----------------------(2)[tex]\rule[225]{225}{2}[/tex]
Putting Equation # 2 in Equation # 1
2y - 6 + y = 24
3y - 6 = 24
Adding 6 to both sides
3y = 24 + 6
3y = 30
Dividing both sides by 3
y = 10
[tex]\rule[225]{225}{2}[/tex]
Putting y = 10 in Equation # 2
x = 2y - 6
x = 2(10) - 6
x = 20 - 6
x = 14
[tex]\rule[225]{225}{2}[/tex]
The two numbers are 10 and 14.
The sum of 2 numbers is 24.
let the number be x and y . Therefore,
x + y = 24
One is 6 less than twice the other. therefore,
2x - y = 6
Combine the equations
x + y = 24
2x - y = 6
3x = 30
x = 30 / 3
x = 10
x + y = 24
10 + y = 24
y = 24 - 10
y = 14
The 2 numbers are 10 and 14 .
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Apply the distributive property to the expression 3(2 + x).
the set of multiples of 8 which are greater than 20 but less than 40
Answer:the answer would be i do believe 32
What is the volume of the figure?
A triangular pyramid is sliced by a plane perpendicular to its base. Draw the cross section
Step-by-step explanation:
Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.
Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid
I need help on graphic pls. Thank you
Answer:
k = 7/3
Step-by-step explanation:
Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:
5 - 2k = -(-k) - 2
5 - 2k = k - 2
5 - 3k = -2
-3k = -7
k = 7/3
Enter the answer to the problem below, using the correct number of
significant figures.
125.6.1
Answer:
126
Step-by-step explanation:
because after point no. greater than 5 will definitely
be 1 no. more than that
The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures
Answer:
28.1 - (-6.5) = 34.6
Step-by-step explanation:
Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6
Answer:
yeah it is 34.6
Step-by-step explanation:
If you parents made $4.00 an hour in 1980 and you make $12.00 an hour as a fryer technologist at Zippy burger today ,then you make three times as much as they did . yes ?NO?explain
ILL GIVE YOU BRAINLIST !!! Evaluate
4x – 2m
Answer:
m = 2x
Step-by-step explanation:
Simplifying
4x + -2m = 0
Reorder the terms:
-2m + 4x = 0
Solving
-2m + 4x = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2m + 4x + -4x = 0 + -4x
Combine like terms: 4x + -4x = 0
-2m + 0 = 0 + -4x
-2m = 0 + -4x
Remove the zero:
-2m = -4x
Divide each side by '-2'.
m = 2x
Simplifying
m = 2x
Answer:
Step-by-step explanation:
4x - 2m = 4*8 - 2*3 = 32 - 6 = 26
SoIve: -20 = -4x - 6x
x = 3.5
x = 2
x = 10
x = 4
Answer:
2
Step-by-step explanation:
-4x - 6x = -10x
Divide both sides by -10
What is p multiplied by 3
Answer:
p multiplied by 3 is 3p I'm not great at explaining but that's the answer
Answer:
3p
Step-by-step explanation:
Simplify (23)^–2 genuinely confused
Answer:
1/529
Step-by-step explanation:
[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]
Answer:
1/529
Step-by-step explanation:
just done it on edge
Find 7/8 divided by 1/3
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?
Please help :)
Answer:
ggtr
Step-by-step explanation:
GIMME THOSE POINTS
Help please no one helps me
Answer:
The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer
Write with a single exponent 1/10*1/10*1/10
Please help
Answer:
[tex] {10}^{3} [/tex]
translate & solve: 616% of what number is 4620
Answer:
250
Step-by-step explanation:
1540*100 divided by 616
What is the answer for 10-6(5-2y)
Answer:
-20 + 12y
Step-by-step explanation:
Equation: 10 - 6(5 - 2y)
Step 1:
10 - 30 + 12y Multiply (5 - 2y) by -6 (distributive property)
Step 2:
-20 + 12y Subtract 10 by 30 (10 - 30 = -20)
Answer:
[tex]12y-20[/tex]
Step-by-step explanation:
First, we need to distribute.
[tex]= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y[/tex]
Now, we need to combine these terms.
[tex]=10+-30+12y=(12y)+(10+-30)=12y+-20[/tex]
The answer is
[tex]12y-20[/tex]
x+12=7 x= needing help with this
Answer:
x=−5
Step-by-step explanation:
x+12=7
Step 1: Subtract 12 from both sides.
x+12−12=7−12
x=−5
Answer:
x = -5
Step-by-step explanation:
We subtract 12 on both sides.
After that, we got x = -5
And we're done ^^
Please help. Don’t understand this math problem!!!
Answer:
1). Option (C)
2). Option (A). degree of 3 = 0
Step-by-step explanation:
A polynomial having one term is called 'Monomial' in algebraic terms.
3 is a number that is a polynomial with a single term.
Therefore, the given expression is a polynomial.
Hence Option (C) is the answer.
3 can be written as 3x⁰ (Since x⁰ = 1)
Therefore, degree of the polynomial is 0.
Option (A). degree of the polynomial = 0
find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please
Answer: 5) 72.6° 6) 68.7° 7) 37.3° 8) 81.5°
Step-by-step explanation:
Law of Cosines: a² = b² + c² - 2bc · cos A
b² = a² + c² - 2ac · cos B
c² = a² + b² - 2ab · cos C
5) a = 27, b = 26, c = 20, A = ???
a² = b² + c² - 2bc · cos A
27² = 26² + 20² - 2(26)(20) · cos A
729 = 676 + 400 - 1040 cos A
729 = 1076 - 1040 cos A
-311 = -1040 cos A
[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]
72.6° = A
6) a = 11, b = 13, c = 12, B = ???
b² = a² + c² - 2ac · cos B
13² = 11² + 12² - 2(11)(12) · cos B
169 = 121 + 144 - 264 cos B
169 = 265 - 264 cos B
-96 = -264 cos B
[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]
68.7° = B
7) a = 19.2, b = 11.7, c = 16.5, B = ???
b² = a² + c² - 2ac · cos B
11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B
136.89 = 368.64 + 272.25 - 633.6 cos B
136.89 = 640.89 - 633.6 cos B
-504 = -633.6 cos B
[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]
37.3° = B
8) a = 8.8, b = 12.4, c = 14.1, C = ???
c² = a² + b² - 2ab · cos C
14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C
198.81 = 77.44 + 153.76 - 218.24 cos C
198.81 = 231.2 - 218.24 cos C
-32.39 = -218.24 cos C
[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]
81.5° = C
Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).
Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
m = 1/2
y = 1/2x + b
Step 2: Find b
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
which expression is equivalent to x^6 - 5
Answer:
there are no options given
Step-by-step explanation:
A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.What is the population in the study?a. bottles of orange juice produced in the plantb. the 40 bottles of orange juice produced in the plantc. the 40 bottles of orange juice produced in the plant on june 12d. bottles of orange juice produced in the plant on june 12
Answer:
Option D - bottles of orange juice produced in the plant on june 12
Step-by-step explanation:
The population describes the data from which the sample size is gotten.
Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.
This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:
bottles of orange juice that were filled on june 12.
Option D is correct
Solve the compound inequality: 3x + 6 < 12 AND 6x + 24 < 12
Answer:
[tex]x < -2[/tex].
Step-by-step explanation:
It is given that [tex]3x + 6 < 12[/tex] and [tex]6x + 24 < 12[/tex].
For [tex]3x + 6 < 12[/tex],
[tex]3x < 12-6[/tex]
[tex]3x < 6[/tex]
Divide both sides by 2.
[tex]x < 2[/tex] ...(i)
For [tex]6x + 24 < 12[/tex],
[tex]6x< 12-24[/tex]
[tex]6x< -12[/tex]
Divide both sides by 6.
[tex]x < -2[/tex] ...(ii)
From (i) and (ii), we get
[tex]x < 2\text{ and }x<-2[/tex]
[tex]\Rightarrow x<-2[/tex]
Therefore, the required answer is [tex]x < -2[/tex].
Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
Answer:
The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"
45.50 ÷ 7 = ?
As per linear equation, 4th problem can be solved by division of decimals.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
The given questions are:
1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?
This problem can be solved by multiplication of decimals.
2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?
This problem can not be solved by division of decimals. It requires addition and subtraction.
3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?
This problem can not be solved by division of decimals. It requires subtraction.
4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
This problem can be solved by division of decimals.
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The entire collection of individuals about which information is sought is called a
Answer: u may want to look at your vocabulary
Step-by-step explanation:
anyways: The entire collection of individuals about which information is being sought is called a. population.
I’m stuck please help?
Answer:
1,3,5,7,9...
Step-by-step explanation:
All of the answers go up by +2
6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's assets to each cousin inherit
Answer:
9 1/9 per cousin
Step-by-step explanation:
if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.
since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9
Answer:
the answer on eduguinty is 5/48 of the inherrit .
Step-by-step explanation:
:)
Tammy made a shirt using
1/4 yards of green fabric and
1/3 yards of red fabric. How many more yards of red fabric did Tammy use?
Write your answer as a fraction in simplest form.
The number of more yards of red fabric Tammy used will be 1/12 yards.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.
Then the number of more yards of red fabric Tammy used will be
⇒ 1/3 - 1/4
⇒ (4 - 3) / 12
⇒ 1 / 12
The number of more yards of red fabric Tammy used will be 1/12 yards.
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