Answer:
2 and 22
Step-by-step explanation:
You can put them into equations:
x+y=24 and 2x+y=26
Then, for each equation solve for one of the variables. It doesn't really matter which one but I chose y here.
y=24-x and y=26-2x
Since both equations are equal to y it means that the expression on the right sides of the equal sign are equal to each other:
24-x=26-2x
From here solve for x and you are left with:
x=2
Now that you know one variable go back and plug it into an equation and solve for y. Again, it doesn't matter which one you choose, you will end up with the same answer:
(2)+y=24
So..
y=22
The radius of a cylinder is 6.0 inches and the height is 9.0 inches, what is the volume of the cylinder? if the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder?
Answer:
A) The volume of the cylinder is 1017.9 in³.
B) The volume of the enlarged cylinder is 27,482.7 in³.
Step-by-step explanation:
What is the volume of the cylinder?The radius of the cylinder is r = 6 in and the height is h = 9 in.
The volume of a cylinder can be found using the formula:
V = πr²hSubstitute r = 6 and h = 9 into the formula.
V = π(6)²(9)V = π(36)(9)V = π(324)V = 1017.876The volume of the cylinder is 1017.876 in³.
What is the volume of the enlarged cylinder?If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.
Therefore, we need to multiply the original volume by a factor of three cubed; 3³.
V_enlarged = V · 3³V_enlarged = 1017.876 · 27 = 27482.652 in³The volume of the enlarged cylinder is 27,482.652 in³.
Summer school classes begin at 8:30 and last for two and a half hours. At what time
the classes end?
Answer:it ends at 11:00
Step-by-step explanation:8:30+2:30=11:00
Answer:
11:00
Step-by-step explanation:
8:30 + half an hour = 9:00
9:00 + 2 hours = 11:00
U
(a) Describe the relationship among the lengths of the segments formed by the secant, and the tangent segment. You may use words and/or an equation
Answer:
I think that in itself the strongest bond of relationship is the intersecting line that is unified from end to end points
I NEED HELPPP ON THISS ONEE PLEASSEEEE
Answer:
6 , 9
Step-by-step explanation:
- 3 x - 4y = - 54
4x + 4y = 60
Eliminate => x = 6
x + y = 15
when x =6 ; => y = 9
Needs help quick. What best describes the lined shown below?
Answer:
it is the third option
C. externally tangent
Answer:
it is the third option
C. externally tangent
Step-by-step explanation:
explain how mid-nineteenth-century American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art? how did the art influence society?
Answer:
Step-by-step explanation:
American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art
At Tower Middle School, there are 14 girls and 16 boys in Mr. Bell's class. There are 17 girls and 19 boys in Ms. Carlson's class. Which of the following best compares Mr. Bell's and Ms. Carlson's classes?
A.
They have the same ratio of girls to boys because a straight line can be drawn through the points (14,16) and (17,19) on a coordinate grid.
B.
They have the same ratio of girls to boys because a straight line can be drawn through the points (14,16), (17,19), and (0,0) on a coordinate grid.
C.
They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14,16) and (17,19) on a coordinate grid.
D.
They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14,16), (17,19), and (0,0) on a coordinate grid.
Answer:
D. They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14, 16), (17, 19), and (0, 0) on a coordinate grid.
Step-by-step explanation:
In order to check if the ratio is the same, convert the ratios to (x, y) points, plot them on a graph and see if you can draw a straight line through them and the origin (0, 0). If you can, then the ratios are the same. If not, then the ratios are not the same.
After plotting (14, 16) and (17, 19) and (0, 0) on a graph (attached), you can see that a straight line will only go through any two of the points, but not all three. Therefore, the ratios are not the same.
catalina spent &17.50 on 10 scrunchies. what is the unit cost?
Answer:
48
Step-by-step explanation:
20 scrunchies=3 dollars
7.25 dollars = ?
1 dollar=6.66666666
0.25 dollar=1.666666666666
7*6.66666666=46.666666
Please write the solution
Answer:
D .
Step-by-step explanation:
that is the answer to the question
PLEASE SOLVE ASAP!! WILL GIVE BRAINLIEST TO QUICKEST AND FIRST ANSWER!!
Solve: 5√(x + 10) - 15 = 30
Solve: √(x + 2) + 8 = 6
1. x=71
This is solved by isolating the radical then raising each side of the equation to the power of its index.
2. NO SOLUTION
There are no values of x that make the equation true.
Answer:
1. 71
2. No solution
What is the solution to this equation?
a/6-11=25
Answer:
a=216
Step-by-step explanation:
you and your mom enter drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing and how many ways can you win first prize and your mom went second prize
The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.
Then the number of the ways in which you can win first prize and your mom went the second prize will be
Let x be the number of different ways.
Then we have
[tex]\rm x = \ ^8C_1\\\\x = 8[/tex]
Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.
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Isaac Newton proved that fluids cool exponentially when left out in an open space. A cup of coffee was poured at a
temperature of 210°F and left on the dining room table to cool. If you start drinking it at a temperature of 150°F, 10 minutes
later, what will be the temperature be when you take the last sip 18 minutes after you poured it?
The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
Isaac Newton proved that fluids cool exponentially when left out in an open space.
A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.
If you start drinking it at a temperature of 150°F, 10 minutes later.
The exponential function is given as
[tex]\rm T_f = T_i (a)^{-t}[/tex]
Then the initial temperature will be 210°F.
[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]
Then the equation will be
[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]
Then the temperature will be when you take the last sip 18 minutes after you poured it.
[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]
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What is the value of the expression 5x2 + 2x when x = 5?
Answer:
135
Step-by-step explanation:
Given:
[tex]x = 5[/tex]
To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.
[tex]\implies 5x^{2} + 2x[/tex][tex]\implies 5(5)^{2} + 2(5) \longrightarrow \longrightarrow \longrightarrow (x = 5)[/tex][tex]\implies 5(5)(5) + 2(5)[/tex][tex]\implies 125 + 10[/tex][tex]\implies 135[/tex]Therefore, the value of the expression [tex]5x^{2} + 2x[/tex] when x = 5 is 135.
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4/7
of a number is 36
What is the number?
[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]
Answer:
[tex]\huge\boxed{\bf\:x = 63}[/tex]
Step-by-step explanation:
Given,
4/7th of a number = 36Let's take the unknown number as 'x'.
Now,
4/7 × x = 36
Take the reciprocal of 4/7 to the other side of the equation .
x = 36 × 7/4
Cancel 36 by 4.
x = 9 × 7
Multiply the 2 numbers
x = 63
[tex]\rule{150pt}{2pt}[/tex]
In the 2016 Rio Olympic games, the total of gold, silver and bronze medals won by China was 70.
They won:
• 18 silver medals,
• the same number of gold medals as they did bronze medals.
How many gold medals did China win?
theHighest Common Factor of 84 and 24
Answer:
12Step-by-step explanation:
theHighest Common Factor of 84 and 24
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
There are 6 common factors of 24 and 84, that are 1, 2, 3, 4, 6, 12. Therefore, the greatest common factor of 24 and 84 is 12.Use a tree diagram to find how many ways you can arrange the letters in the word FARM.
A) 16
B) 24
C) 256
D) 12
Answer:
B. 24 posibbly
Step-by-step explanation:
Factor completely 3x – 15.
3(x - 5)
3(x + 5)
3x(-15)
Prime
Answer:
A. 3(x-5)
Step-by-step explanation:
USE M-A-T-H-W-A-Y
Step-by-step explanation:
[tex]3x - 15[/tex]
Bind the expression with the common factor three .
3 ( x - 5 )
In the expression StartFraction 7 m over 9 EndFraction + 6 r minus four-fifths, what are the coefficients?
Negative four-fifths and 6
StartFraction 7 over 9 EndFraction and negative 6
StartFraction 7 over 9 EndFraction and Negative StartFraction 4 over 5 EndFraction
StartFraction 7 over 9 EndFraction and 6
Answer:
7/9 and 6
Step-by-step explanation:
The given expression is
=> [tex]\frac{7m}{9} +6r-\frac{4}{5}[/tex]
Coefficients are the numbers with variables.
So, here in this expression the coefficients are 7/9 and 6
The expression below represents the perimeter, in feet, of Manual’s garden.
15 + 2x + 7 + 15 + 2x + 7
Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden.
The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7.
Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation.
Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length.
The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
What is the perimeter?The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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What is “b” in the following quadratic equation:
4x^2-3x-11=0
Answer:
The value of b in the quadratic equation is -3
Step-by-step explanation:
4x²-3x-11=0
a = 4
b = -3
c = -11
Explain what “solution” means for a system of two linear equations. Give an example.
Answer:
A solution of a system of equations is a list of numbers x , y , z ,... that make all of the equations true simultaneously. The solution set of a system of equations is the collection of all solutions. Solving the system means finding all solutions with formulas involving some number of parameters.
Step-by-step explanation:
hope it will help you
Answer:
Step-by-step explanation:
In this context "solution" means a point whose x- and y-coordinates satisfy both equations.
If we're given the two linear equations x + y = 3 and 2x - y = 7, we can solve them by addition and subtraction (among other methods):
3x = 3 + 7, or 3x = 10, or x = 10/3.
Substitute this result into x + y = 3 to find the corresponding y value;
10/3 + y = 3, or 10/3 + y = 9/3, or y = 1/3.
Then the "solution" is the point (10/3, 1/3).
what is the answer to
-(-4x-7)+x=-4
Answer:
-128
Step-by-step explanation:
hope it helps srry if its wroung:>
4. One of three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. The tree diagram shows all possible outcomes of this contest. Prize 1 1 Pedro Prize 2 Prize 3 Prize 1 Whitney Prize 2 Prize 3 Prize 1 Bryan Prize 2 Prize 3 What is the probability that Whitney will win Prize 2?
The probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]. Probability is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The total no of the contestants=3
Randomly selection of the prize-=1
The probability that Whitney will win Prize 2 will be;
[tex]\rm P= P(A)P(B) \\\\ P=\frac{1}{3} \times \frac{1}{3}\\\\ P= \frac{1}{9}[/tex]
Hence, the probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]
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Which gives the value of 16 divided by 2 times 4 minus 20?
Answer:
16/2×4−20 = 12
Step-by-step explanation:
NOTE : Make sure to review the order of operations
16/2×4−20 = (16÷2)×4-20
= 8×4-20
= 32-20
= 12
NEED HELP SHOW WORK WILL GIVE BRAINLYEST
Please help me ASAP!!! 5th grade math. You can do it!
Answer:
1/6.
Apologies if I'm wrong but I haven't been in 5th grade in a long time.
Step-by-step explanation:
I think you divide each number across.
Step 1: Story
One day, a girl named sarah wanted to share cookies in between 3 of her best friends. However, she only had 1/2 of her cookie left. So she divided her cookie by 3 to share her cookie with every single friend
Step 2: Solve
1/6.
The value of 1/2 divided by 3 is 1/6.
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I hope this helps! I remember being in 5th grade and this was super hard math for me
what’s 690 divided by 4???
Answer:
Step-by-step explanation:
172.5 is the correct answer.
the hcf and lcm of 180, 150 and 315
Answer:
HCF=15 LCM=6,300
Step-by-step explanation:
Answer:
HCF = 15
LCM = 6300.
Step-by-step explanation:
Write them out as a product of their prime factors:
180 = 2*2*3*3*5
150 = 2*3*5*5
315 = 3*3*5*7
Picking out the factors common to all 3 list of prime factors:
The GCF = 3*5 = 15.
To find the LCM we pick out all the numbers except if there are repeated number we only use them once, So for example we only take 2*2 for the calculation as there is a pair of 2's in 180 and 150 factors and there is an extra 2 in 180 - so we only take 2 of the 3 2's.
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7
= 6300.