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.
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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
how many times does 56 go into 432
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.
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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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.
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.
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)
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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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]
13. In engineering notation, the number
0.000452 is expressed as
Answer:
I think it is 4.52 × 10^-4
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 :)
Please answer this correctly
I WILL GIVE BRAINLIEST IF CORRECT!
Q1) what property is shown?
-8 + (-15) = (-15) + (-8)
A) distributive property
B) opposite of a sum property
C) commutative property
D) associative property
____________________________
Q4) what is the value of q makes the statement true?
-(q+14) = -3 + (-14)
A) 17
B) -17
C) -3
D) 3
____________________
what value of a makes the statement below true?
-10 + a + (-15) = 50
A) 25
B) -75
C) -25
D) 75
Answer:
(1).(C) Commutative property.
(4).(D) 3
(3).(D) 75
Step-by-step explanation:
(1) Commutative property of addition states that if two number p and q are real. Then, it doesn't matter in which order the numbers are added it will provide the same result. i.e.
p + q = q + p
Therefore, -8 + (-15) = (-15) + (-8) is an example of commutative property.
(2) - (q+14) = (-3) + (-14)
[tex]\Rightarrow -q - 14=-3 -14[/tex]
[tex]\Rightarrow-q= -17 +14[/tex]
[tex]\Rightarrow-q=-3[/tex]
[tex]\Rightarrow q=3[/tex]
(3) -10 + a + (-15) = 50
[tex]\Rightarrow a -25 = 50[/tex]
[tex]\Rightarrow a = 50 + 25 = 75[/tex]
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]
solve 3(x-5)-4(x+3)=
3(x-5)-4(x+3)
Multiply the first bracket by 3
(3)(x)=3x
(3)(-5)=-15
(-4)(x)=-4x
(-4)(3)=-12
3x-15-4x-12
3x-4x-15-12 ( combine like terms)
Answer: -x-27
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:
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.
write square root of 64 - square root of -289 as a complex number in the form of a+bi
Answer:
[tex]\sqrt{64}-\sqrt{-289}[/tex]
[tex]=8-17i[/tex]
Step-by-step explanation:
[tex]\sqrt{64}=8[/tex] because 8(8)=64 and 8 is the positive square root of 64.
[tex]\sqrt{-289}=17i[/tex] because 17i(17i)=289i^2=-289(-1)=-289.
[tex]\sqrt{64}-\sqrt{-289}[/tex]
[tex]8-17i[/tex]
Answer:
8-17i
Step-by-step explanation:
Got right on PLATO
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
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
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.
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
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!
-------------------------------------------------
[tex]\boxed{ \bf A.~15,006.099~<~15,006.101}[/tex]
-------------------------------------------------
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!
-------------------------------------------------
Hope This Helped! Good Luck!
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!
If a young blue whale gains about 200 pounds a day, how many pounds will the whale gain in 45 days
Answer:
9000
Step-by-step explanation:
200x45=9000
Answer:
9,000 pounds.
Step-by-step explanation:
That would be 45 * 200
= 9,000 pounds.
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.
Rewrite using the distributive property then solve. 3(5+7)
Answer:
36
Step-by-step explanation:
3(5+7)
multiply 3 and 5
then multiply 7 and 3
15 + 21
which is 36
Answer:
Step-by-step explanation: 3 x 5 =15 + 3 x 7 =21 15+21=36
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