Answer:
a. -7
b. -25
c. 27
d. 15
Step-by-step explanation:
The solution of expression is a) 13 + (-20) = -7
b) (-14) + (-11) = -25
c) 18 - (-9) = 27
d) (-21) - (-36) = 15
a) 13 + (-20) = -7
To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.
b) (-14) + (-11) = -25
When adding two negative numbers, we simply add their absolute values and retain the negative sign.
c) 18 - (-9) = 27
Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.
d) (-21) - (-36) = 15
Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.
Learn more about expression here
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PLEASE HELP!!! 20 BRAINLIST
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units
Answer:
Im pretty sure its 6.40 units
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Answer: 1406.25
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Given that:
Area of soccer field = 9000 sq yards
Soccer field takes up 6 2/5 square inches on the map of park
Hence,
9000 yd² = 6 2/5 in²
Let 1 in² on map = m
9000 yd² = 32/5 in² - - - (1)
m = 1 in² - - - (2)
Cross multiply ;
6.4 * m = 9000
m = 9000/6.4
m = 1406.25
Hence,
1 in² on map = 1406.25 feet²
900
A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.
x = profit
y = toys
x = Toy A
y = Toy B
x = Toy A
y = profit
x = Toy B
y = Toy A
Answer:
Step-by-step explanation:
a b
Help please It would mean a lot
the answer is 3/5
if that's not right I apologize
Answer:
3/5
Step-by-step explanation:
When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.
So: 2/4 would become 4/2
3/10 x 4/2
12/20
Highest common factor between 12 and 20 is 4.
Divide both sided by 4:
3/5
I will give 15 points please help!
Answer:
b
Step-by-step explanation:
What distance did the bus travel???
Answer:
495km
Step-by-step explanation:
180 km in 4 hours means x km in 11 hours.
Cross multiply and you'll find x as 495 km
Explain why the slope of line is 26.
Answer:
Your question is lacking some details.
However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .
Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.
Step-by-step explanation:
Using the above technique, find the equation of the line containing the points (-2,7) (4,-2)
Equation of a line = y = mx +b
m = slope = change in y over the change in x
b = y intercept:
m = (-2 - 7) / (4 - -2) = -9/6 = -3/2
Now you have y = -3/2x + b
Use one of the points, replace y and x and solve for b:
7 = -3/2(-2) + b
Simplify:
7 = 3 + b
Subtract 3 from both sides:
b= 4
The equation is y = -3/2x + 4
Step-by-step explanation:
Hey there!.
The equation of a st.line passing through points (-2,7) and (4,2) is;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]
Simplify it to get answer.
[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]
[tex]6(y - 7) = - 5(x + 2)[/tex]
[tex]6y - 42 = - 5x - 10[/tex]
[tex]5x + 6y - 42 + 10 = 0[/tex]
[tex]5x + 6y - 32 = 0[/tex]
Therefore the required equation is 5x+6y-32=0.
Hope it helps...
what am I supposed to do here? I need help
Answer:
B = 5.5
Step-by-step explanation:
Take 5 to R.H.S,
4b=22,
b=22/2,
b=5.5
At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?
Answer:
10 cars
Step-by-step explanation:
he can vacuum 3 cars in 17 minutes
so in 1 hour its (60/17) x 3
Or you can do 17/3 for how long it takes to clean 1 car
then divide 60 by that number, you round down for both since you don't complete the car if its a decimal
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
−2(−4n + 1)+5(25n − 8)=−62.
Answer:
bet
Step-by-step explanation:
Answer:
n=-20/133
Step-by-step explanation:
Use the distributive property to multiply −2 by −4n+1.
8n−2+5(25n−8)=−62
Use the distributive property to multiply 5 by 25n−8.
8n−2+125n−40=−62
Combine 8n and 125n to get 133n.
133n−2−40=−62
Subtract 40 from −2 to get −42.
133n−42=−62
Add 42 to both sides.
133n=−62+42
Add −62 and 42 to get −20.
133n=−20
Divide both sides by 133.
n=-20/133
Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.
n=−20/133
Factor and Solve.
x^4-11x^2+18=0
Last option is the correct answer
x= √2, −√2, 3, −3
Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?
Answer:
The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm
Step-by-step explanation:
Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure
What we need here is the set of numbers which can be rounded to 6 cm
From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm
So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm
The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.
The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.
What is a line segment?A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.
From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.
So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.
Learn more about a line segment here:
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How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?
Answer:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
Step-by-step explanation:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
You don't need to solve for x to find any of those angles. If you want to anyway:
4x+10=70
4x=70-10
4x=60
x=60÷4
x=15
For any two integers a and b, (a + b)² = a² + b²
Answer:
wrong
Step-by-step explanation:
(a+b)^2=(a+b)(a+b)
=a(a+b)b(a+b)
=a^2+ab+ab+b^2
=a^2+2ab+b^2
i hope it helps you
Please help me with all these questions will mark as brainlists
Answer:
The fourth one Its tell you to add or miners or multiple
Step-by-step explanation:
And then the rest is telling you to explain you answer using your own words.
what is the first integer to the left of -6.1 on the number line?
Answer: -7
The integer to the right is -6
See the diagram below.
HELP ME MANN I HATE MATH
Answer:
$12 a week
Step-by-step explanation:
If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.
Answer:
Don't hate math because math is very important in our lives
If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *
Answer:
When b = 28 and c = 4, then a = 56
Step-by-step explanation:
We need to write the equation first
This is an example of a combined variation
if a varies directly as b and inversely as c;
then a = bk/c
where k is the constant of proportionality
We find k first;
16 = (12 * k)/6
k = (6 * 16)/12 = 8
We now want to find a
a = kb/c
a = (8 * 28)/4 = 7 * 8 = 56
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Answer:
n = 37/3
n = 12 1/3
Step-by-step explanation:
Hi there !
3n - 7 = 30
3n = 30 + 7
3n = 37
n = 37/3
n = 12 1/3
Good luck !
what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2
Answer:
see explanation
Step-by-step explanation:
The general expansion of (a + b)² is
(a + b)² = a² + 2ab + b²
Applying this to the following expansions
(1)
(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²
(2)
(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x
(3)
(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16
(4)
(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²
(5)
(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy
Pls help! Will reward brainliest, thanks!
Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton
Answer:
the answer is option letter c. tellurium
calculate the area of the shaded region at right. use the appropriate units.
I really need help with this question!!
what is the answer to 8-5x=-37
Answer:
x=9
Step-by-step explanation:
Subtract 8 from both sides.
−5x=−37−8
Subtract 8 from −37 to get −45.
−5x=−45
Divide both sides by −5.
x= -45/-5
Divide −45 by −5 to get 9.
x=9
Answer:
9
Step-by-step explanation:
Step 1:
8 - 5x = - 37 Equation
Step 2:
8 = - 37 + 5x Add 5x on both sides
Step 3:
45 = 5x Add 37 on both sides
Step 4:
x = 45 ÷ 5 Divide
Answer:
x = 9
Hope This Helps :)
Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?
Answer: 45 students
Step-by-step explanation:
Company A’s charge can be represented by: 4s+60
Company B’s charge can be represented by: 2s+150
s is the charge per student
To find the cost at which they are the same, I will set both equations equal to each other.
4s+60=2s+150
-2s -2s
2s+60=150
-60 -60
2s=90 Divide both sides by 2
s=45
So when 45 students are going, the cost for both companies are the same.
PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:
1) [tex]2\cdot x >10[/tex] Given
2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]
But if [tex]c < 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]
Hence, correct answer is A.
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?
Answer: $9.00
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