Which equation or inequality correctly compares 15006.099 and 15006.101? A.15006.099<15006.101 B.15006.099>15006.101 C.15006.099 = 15006.101
Hey!
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[tex]\boxed{ \bf A.~15,006.099~<~15,006.101}[/tex]
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Explanation:
Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.
0.099 < 0.101
0.101 - 0.099 = 0.002
So, 15,006.101 is 0.002 bigger than 15,006.099!
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Hope This Helped! Good Luck!
Solve for x.
−1/2(x+2)+1 1/2x=3
Answer:
x = 4
Step-by-step explanation:
look at the screenshots below, they'll explain the answer
Hope I helped :)
Find the absolute value. |7| A. 14 B. 0 C. –7 D. 7
Answer:
D
Step-by-step explanation:
The absolute value always returns a positive value, that is
| - a | = | a | = a, thus
| 7 | = 7 → D
Answer:
Step-by-step explanation:
|7|=7 answer : D
Jake has 32 quarters on his desk, and Molly has a quarters in her purse.
Which algebraic expression represents the total number of quarters that Jake
and Molly have?
O A. 250
O B. q-32
C. 32 + 9
0 0
D. 32 - 9
Answer:
32+q
Step-by-step explanation:
The complete question is
Jake has 32 quarters on his desk, molly has q quarters in her purse.
Which algebraic expression represents the total number of quarters that Jake and Molly have?
we know that
To find out the total number of quarters that Jake and Molly have, sum the amount of quarters that Jake has plus the amount of quarters that Molly has
Let
x ----> the amount of quarters that Jake has
y ----> he amount of quarters that Molly has
so
x+y
we have
[tex]x=32\ quarters\\y=q\ quarters[/tex]
substitute
32+q
Evaluate
6
+
4
a
+
b
3
6+
a
4
+
3
b
6, plus, start fraction, 4, divided by, a, end fraction, plus, start fraction, b, divided by, 3, end fraction when
a
=
4
a=4a, equals, 4 and
b
=
3
b=3b, equals, 3.
Answer:
8
Step-by-step explanation:
The sum of two integers is 2. Their difference is 10.
What are the two integers?
-14 and -4
4 and 14
-2 and 4
-4 and 6
Answer:
-4 and 6
Step-by-step explanation:
sum means +
-4+6=2
difference means -4-6=10
The sum of two integers is 2 and their difference is 10 then the two integers will be -4 and 6 and this can be determined by using the arithmetic operations.
Given :
The sum of two integers is 2.The difference between that two integers is 10.Let the two integers be 'a' and 'b'. Then the sum of the two integers will be:
a + b = 2 ---- (1)
The difference between the two integers will be:
a - b = 10 ----- (2)
Now, solve the equation (1) for 'a'.
a = 2 - b --- (3)
Now, put the value of 'a' in equation (2).
2 - b - b = 10
2 - 2b = 10
2b = -8
b = -4
Put the value of 'b' in equation (3).
a = 2 - (-4)
a = 2 + 4
a = 6
Therefore, the correct option is D) -4 and 6.
For more information, refer to the link given below:
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PLEASE SOMEONE HELP ASAP!!
8. The art department at a school sold 323 tickets
to an art show, for a total of $790. Students paid
$2 for tickets, and non-students paid $3.50. The
principal asked how many non-students
attended the art show.
a) Write a system of two linear equations
for this situation.
b) Solve the problem by graphing the system.
Answer:
Step-by-step explanation:
students = x
non-students=y
x+y=410
y=410-x
3x+7y=1650
3x+7(410-x)=1650
3x+2870-7x=1650
-4x=-1220 (divide both sides by -4)
x=305 y=410-305=105
Hence, 305 students attended and 105 non-students attended
The problem can be represented by two linear equations, s + n = 323 and 2s + 3.5n = 790. After putting these equations into the format y = mx + b, they can be graphed to find the solution at the point where the two lines intersect.
Explanation:First, let's define two variables, s for the number of students and n for the number of non-students. From the information we have:
Students and non-students combined bought a total of 323 tickets, so our first equation is: s + n = 323.Students paid $2 and non-students paid $3.50, making a total of $790. This gives our second equation: 2s + 3.5n = 790.To solve the problem by graphing, we need to convert these equations into y = mx + b format. Our first equation then becomes s = -n + 323 and the second becomes s = (790 - 3.5n) / 2. Plotting these equations on a graph and finding the point where the lines intersect will give us the value of s and n. The x-values corresponds to n (non-students) and y-values to s (students).
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4x + 2 < −2 OR 4x + 2 > 26
solve pl
Step-by-step explanation:
The easiest thing to do here is:
4x + 2 = -2 and 4x + 2 = 26
Just know whaever you get for x is greater or less than the actual answer.
4x + 2 = -2
- 2 - 2
4x = -4
[tex]\frac{4x}{4} = \frac{-4}{4}[/tex]
x = -1 <--- Because -2 is supposed to be greater than x, x equals any number less than -1 but not -1.
4x + 2 = 26
- 2 - 2
4x = 24
[tex]\frac{4x}{4} = \frac{24}{4}[/tex]
x = 6 <--- Because 26 is supposed to be less than x, x equals any numbey greater than 6 but not 6
Answer:
-1 > x OR 6 < x
Step-by-step explanation:
4x + 2 > 26
- 2 - 2
___________
4x > 24
__ ___
4 4
x > 6
__________________________________________________________
4x + 2 < −2
- 2 - 2
___________
4x < -4
__ __
4 4
x < -1
The above answers are written in reverse, which are the exact same result.
I am joyous to assist you anytime.
What's this equation in vertex form? Please help!
I really need help. Thank you. [20 points]
y=8(x^2 + 4x + 4) +17 + -32
Simplify:
y = 8(x^2 + 4x + 4) + 15
Use distributive property:
y = 8x^2 + 32x +32 - 15
Simplify:
y = 8x^2 + 32x +17
Complete the square using form ax^2+bx+c:
a = 8, b = 32, c = 17
vertex form = a(x+d)^2+e
d = b/2a and e = c-b^2/4a
d = 32/2*8 = 32/16 = 2
e = 17 - 32^2/4*8 = 17-1024/32 = 17-32 = -15
Vertex form = y = 8(x+2)^2 + -15
NEED ASAP PLEASE
Example 2
17. OLYMPICS in the 2010 Winter Olympic Games, the
Winter Olympic Games, the United States won 1 more than
4 times the number of gold medals France won. The
old medals France won. The United States won 7 more
gold metals than France. Write and solve an equation
ce. Write and solve an equation to find the number of gold
medals each country won.
Answer:
U.S.= 9
France= 2
Step-by-step explanation:
2×4=8 +1=9
9-7=2
Hope this helps!!!
Brady
Number of Gold medals won by USA are 9 and gold medals won by France are 2.
Let the gold medals won by USA = x
And the gold medals won by France = y
It's given in the question "gold medals won by USA are 1 more than 4 times the number of gold medals won by France"
Therefore, equation for this situation will be,
x = 4y + 1 --------(1)
Second statement of the question states "USA won 7 gold medals more than France"
Therefore, equation will be,
x = y + 7 -------(2)
By substituting the value of 'x' in equation (1) from equation (2),
y + 7 = 4y + 1
4y - y = 7 - 1
3y = 6
y = 2
By substituting the value of 'y' in equation (1),
x = 4(2) + 1
x = 9
Therefore, USA won 9 gold and France won 2 gold medals in the Winter Olympic Games.
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What Is the area of a rectangular room that is 3 3/4 yards long and 3 1/3 yards wide
Answer:
[tex]3 \frac{3}{4} \times 3 \frac{1}{3} = \frac{15}{4} \times \frac{10}{3} = \frac{25}{2} = 12 \frac{1}{2} [/tex]
The area of this room is 12 1/2 yd².
The area of the rectangular room is (12.5) square yards, calculated by multiplying length and width.
To find the area of a rectangular room, you multiply its length by its width. Given that the length is [tex]\(3 \frac{3}{4}\)[/tex] yards and the width is [tex]\(3 \frac{1}{3}\)[/tex] yards, you can calculate:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
First, let's convert the mixed numbers to improper fractions:
[tex]\[ 3 \frac{3}{4} = \frac{4 \times 3 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \text{ yards} \]\[ 3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \text{ yards} \][/tex]
Now, plug these values into the formula:
[tex]\[ \text{Area} = \frac{15}{4} \times \frac{10}{3} \]\[ \text{Area} = \frac{15 \times 10}{4 \times 3} \]\[ \text{Area} = \frac{150}{12} \]\[ \text{Area} = 12.5 \text{ square yards} \][/tex]
So, the area of the rectangular room is [tex]\(12.5 \, \text{square yards}\).[/tex]
A container of oregano is 17 pounds heavier than a container of peppercorns. Their total weight is 253 pounds. The peppercorns will be sold in one-ounce bags. How many bags of peppercorns can be made?
Answer:
1,888 bags.
Step-by-step explanation:
Let x represent the the weight of container of peppercorns.
We have been given that the container of oregano is 17 pounds heavier than a container of peppercorns. So the weight of container of oregano would be [tex]x+17[/tex].
We are also told that the total weight of both containers is 253 pounds. We can represent this information in an equation as:
[tex]x+x+17=253[/tex]
Let us solve for x.
[tex]2x+17=253[/tex]
[tex]2x+17-17=253-17[/tex]
[tex]2x=236[/tex]
[tex]\frac{2x}{2}=\frac{236}{2}[/tex]
[tex]x=118[/tex]
Therefore, the weight of peppercorns is 118 pounds.
Now, we will convert 118 pounds to ounces.
1 pound equals 16 ounces.
118 pounds = 118*16 ounces = 1,888 ounces
Since the peppercorns will be sold in one-ounce bags, therefore, 1,888 bags of peppercorns can be made.
find the perimeter and area of each figure.
Answer:
Perimeter = 89mm
area= 528 or 220
Step-by-step explanation:
hope this is useful
Answer:
Perimeter is 99 because 22+44+15+18=99
Area is 396 because 22+44=66÷2=33x12=396
The formula for the calculating the are of trapezium is a+b÷2xheight I hope this helped I gave you the formula to calculate the area of trapezium as well just to give extra help! Your welcome!
13. In engineering notation, the number
0.000452 is expressed as
Answer:
I think it is 4.52 × 10^-4
For a math project you need to complete 4 math worksheets in 5 days each worksheet contains 15 problems evaluate the expression 4 times 5+15 divide by 5 to find how many problems you need to complete each day
The product of 9 and x is less or equal to -17
Answer:
x≤-17/9
Step-by-step explanation:
9x≤-17
1) Divide both sides by 9:
x≤-17/9
3/7 divided 1 1/6 Please help
Answer:
18/49 or 0.367
Step-by-step explanation:
1 (1/6)=7/6
now,
3/7 ÷ 1 (1/6)
=3/7 ÷ 7/6 [∵1 (1/6)=7/6]
=3/7 x 6/7
=18/49
=0.367
Write the number for six million three thousand
Answer: 6,300,000
Step-by-step explanation:
Answer:
6,003,000
You would place the six in the millions place, and the 3 in the thousands place!
Directions: Apply me u
you answer should be w
1) 12. 12² =
12×12 squared is = 12•144/=
1728
If you need a better explanation just ask in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
If Bill's Bike at an average speed of 5 miles per hour how many miles will it take him to Ride 65
Answer:
13 Miles
Step-by-step explanation:
All you need to do is divide 65 by 5.
65 / 5 = 13
Are the listed ordered pairs on the graph for the function:
f(x) = 3x
Question 1 options:
6≠9therefore, not on the graph
3=3therefore, on the graph
27=27therefore, on the graph
3≠1therefore, not on the graph
1.
(0,3)
2.
(1,3)
3.
(2,6)
4.
(3,27)
On a number line, negative the square root of two falls between which two consecutive integers
[tex]\bf \boxed{-2}\rule[0.35em]{12em}{0.25pt}\stackrel{~\hfill -\sqrt{2}}{\approx -1.4}\rule[0.35em]{10em}{0.25pt}\boxed{-1}[/tex]
Final answer:
The negative square root of two, −√2, falls between the consecutive integers -2 and -1 on the number line.
Explanation:
The student is asking about the position of the square root of a negative number on the number line, specifically −√2 (negative square root of two). To answer this, we first need to understand that the square root of a positive number is a number that, when squared, gives the positive number in question. For √2, we know that it falls between 1 and 2 because 1 squared is 1 and 2 squared is 4, and 2 lies between these two values.
Since the student is asking for negative √2, we simply reflect the position of √2 across the origin (zero) on the number line to find where −√2 lies. Hence, −√2 will fall between the integers -2 and -1. If we were estimating, we might say it is just a bit closer to -2 than -1, because √2 is approximately 1.414.
Solve the following problems. Reduce your answers to their simplest form.
a. 13/41 + 27/82
b. 3 5/24 + 6 7/24 + 4 9/24
C. 5 2/3 + 29/69 + 6 21/23
d. 3 9/10 + 4/9 + 7/45 + 4
e. 6 - 7/15
f. 11 3/8 - 7/8
g. 7 1/6 - 3 4/9
h. 5 3/8 - 3 2/5
Answer:
a. 53/82
b. 13 7/8
c. 12 16/23
d. 8 1/2
e. 5 8/15
f. 10 1/2
g. 3 13/18
h. 1 39/40
Step-by-step explanation:
Step-by-step explanation:
a. 13/41 + 27/82
[tex]\frac{13}{41}+\frac{27}{82}[/tex]
[tex]\frac{13\times 82+27\times 41}{82\times 41}=\frac{53}{82}[/tex]
b. [tex]3\frac{5}{24} + 6\frac{7}{24} + 4\frac{9}{24}[/tex]
[tex]\frac{77}{24}+\frac{151}{24}+\frac{105}{24}[/tex]
[tex]\frac{77+151+105}{24}=\frac{333}{24}[/tex]
c) [tex]5\frac{2}{3} + \frac{29}{69} + 6 \frac{21}{23}[/tex]
[tex]\frac{17}{3}+\frac{29}{69} +\frac{159}{23}[/tex]
[tex]\frac{17\times 23}{3\times 23}+\frac{29}{69} +\frac{159\times 3}{23\times 3}[/tex]
[tex]\frac{17\times 23+29+159\times 3}{69}=\frac{897}{69}=\frac{13}{1}[/tex]
d) [tex]3\frac{9}{10} + \frac{4}{9} + \frac{7}{45} + 4[/tex]
[tex]\frac{39}{10} + \frac{4}{9} + \frac{7}{45} + \frac{4}{1}[/tex]
[tex]\frac{39}{10} +\frac{4\times 10}{1\times 10}+\frac{4\times 5}{9\times 5} + \frac{7}{45}[/tex]
[tex]\frac{39+1\times 10}{10}+ +\frac{4\times 5+7}{45}[/tex]
[tex]\frac{49}{10}+\frac{27}{45}[/tex]
[tex]\frac{49\times 45+27\times 10}{10\times 45}=\frac{11}{2}[/tex]
e)[tex]6-\frac{7}{15}[/tex]
[tex]\frac{6}{1}--\frac{7}{15}[/tex]
[tex]\frac{6\times 15-7\times 1}{1\times 15}=\frac{83}{15}[/tex]
f)[tex]11\frac{3}{8} - \frac{7}{8}[/tex]
[tex]\frac{91}{8}- \frac{7}{8}[/tex]
[tex]\frac{91-7}{8}=\frac{84}{8}=\frac{21}{2}[/tex]
g)[tex]7 \frac{1}{6} - 3\frac{4}{9}[/tex]
[tex]\frac{43}{6}-\frac{41}{9}[/tex]
[tex]\frac{43\times 9-41\times 6}{54}[/tex]
[tex]=\frac{141}{54}=\frac{47}{18}[/tex]
h)[tex]5\frac{3}{8}-3\frac{2}{5}[/tex]
[tex]\frac{43}{8}-\frac{17}{5}[/tex]
[tex]\frac{43\times 5-17\times 8}{8\times 5}=\frac{79}{40}[/tex]
Add using a number line. - 3/4 + 1 1/4 drag and drop the word SUM to the correct value on the number line.
PLEASE HELPPP
See the attached picture for the answer.
- Varun drove to work this morning. It took
him 15 minutes. He stopped at a traffic
light for 3 minutes after driving for
5 minutes. Sketch a graph to represent
the distance from Varun's house during
his drive to work.
Answer:
See attached graph
Step-by-step explanation:
The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.
Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).
Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.
The line ends at minute 15 which is the time it took him to get to work.
Write an algebraic expression for each word phrase.
3. 14 less than the quotient of 63 and a number h.
Answer:
63/h - 3.14
Step-by-step explanation:
Quotient means divide.
So the answer to the division is a quotient. 63/h is the quotient of the division.
Less means subtract so the subtraction that is taking place is
63/h - 3.14 and that's your answer.
Often with these questions, you start backwards as in this question.
standard form
4x-8=9y-5
Answer:
4x - 9y = 3
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
4x - 8 = 9y - 5 ( subtract 9y from both sides )
4x - 9y - 8 = - 5 ( add 8 to both sides )
4x - 9y = 3 ← in standard form
The original equation 4x - 8 = 9y - 5 can be rearranged to the standard form by initially adding 8 to both sides and then subtracting 9y from both sides. The final equation in standard form is 4x - 9y = 3.
Explanation:The given equation is in the form of 4x - 8 = 9y - 5. To convert the equation to standard form, we'll need to rearrange it so all variables and constants are on one side of the equation. Standard form is typically written as Ax + By = C. Here are the steps to do that:
Add 8 to both sides: 4x = 9y - 5 + 8 (which simplifies to 4x = 9y + 3)Subtract 9y from both sides: 4x - 9y = 3So, the
standard form
of the given equation is 4x - 9y = 3.
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1. Clare has a piece of paper that is 8 inches by 10 inches. How many pieces of paper
will Clare have if she cuts the paper in half n times? What will the area of each piece
be?
Answer:
2^n pieces
80 / (2^n) in²
Step-by-step explanation:
If she cuts the paper in half 1 time, she will have 2 pieces.
If she cuts the paper in half 2 times, she will have 4 pieces.
If she cuts the paper in half 3 times, she will have 8 pieces.
So the pattern is 2^n.
The original area is 80 in². Divided by 2^n pieces means each piece has an area of 80 / (2^n) in².
Will mark the brainliest! Which system of linear inequalities is graphed?
{x≤−3y≤−x−3
{x<−2y≤−x−1
{x<−3y≤−x−1
{x<−3y≤−x+1
Hey!
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Steps To Solve:
~Coordinates of the line
(0, -1) and (-1, 0)
~Find slope
[tex]m = \frac{0 - (-1)}{-1 - 0} = \frac{1}{-1} = -1[/tex]
~Find the equation of the line
y = mx + b
m = slope
b = y-intercept
m = -1 or -x
b = -1
y = -x - 1
~Check using zero rule (substitute x and y for (0, 0))
y = 0 - 1
y = -1 (Correct)
0 = -x - 1
-x = 1 - 0
-x = 1 (Incorrect)
~Check
{x<−3y≤−x−1
0 < -3(0) ≤ 0 - 1
0 < 0 ≤ -1
*Note* Since the line isn't near the origin, the points (0, 0) don't satisfy the equation.
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Answer:
{x<−3y≤−x−1
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Hope This Helped! Good Luck!
Please answer this correctly