Show AND justify each step of the solution. You will not receive credit unless you justify the step.
Solve for x.
3.5(7-x)+32=106-1.5(4x+18) Justification
Answer:
x=9
Step-by-step explanation:
Given the function f(x)=x2+2x+1, find: e f(a)
Answer:
f(a) = a^2 + 2a + 1
Step-by-step explanation:
Given the function f(x)= x^2 +2x + 1, find: f(a):
Merely substitute ' a ' for x:
f(a) = a^2 + 2a + 1
If you really want e*f(a), multiply the above by e:
e*f(a) = ea^2 + 2ea + e
what’s number 57 and 58?
Answer:
57. -2 yd
58. -$10
simple subtraction
Kim bought 12 boxes of drinks
He paid $15 for each box.
There were 12 drinks in each box.
Kim sold 3/4 of the drinks for $1.50 each.
He sold all of the other drinks at a reduced price.
He made an overall profit of 15%.
Work out how much Kim sold each reduced price drink for.
Answer:
The amount Kim sold each reduced price drink is $1.25 each
Step-by-step explanation:
The number of boxes of drinks Kim bought = 12 boxes
The amount Kim paid for each box = $15
The number of drinks in each box = 12 drinks
The amount Kim sild 3/4 of the drinks = $1.50 each
The amount Kim sold the remaining drinks = At a reduced rate
The amount of profit Kim made = 15%
Therefore, we have;
The total amount Kim bought the whole drinks = 12 × $15 = $180
The total number of drinks = 12 × 12 = 144 drinks
3/4 of the drinks = 3/4×144 = 108 drinks
The amount Kim sold the 108 drinks = 108 × $1.5 = $162
The amount of profit Kim made = 15%
Therefore;
(((The total amount Kim sold the whole drinks) - (The total amount Kim bought the whole drinks))/(The total amount Kim bought the whole drinks)) × 100 = Percentage profit
(((The total amount Kim sold the whole drinks) - ($180))/($180)) × 100 = 15%
The total amount Kim sold the whole drinks = 0.15×$180 + $180 = $207
The total number of the remainder of the drinks = 144 - 108 = 36 drinks
The amount Kim sold the remainder of the drinks = $207 - $162 = $45
The amount Kim sold each of the remainder of the drinks at reduced price = $45/36 = $1.25
Therefore, the amount Kim sold each reduced price drink = $1.25 each.
What is an equation of a line that passes through the points (3, -5) and (-6,-8)?
Answer:
y=1/3 x -6, y equals one third x minus 6
Step-by-step explanation:
The equation will look like -5/3 - -8/-6 since we're finding the slope. That equals 3/9 or 1/3, the slope is 1/3. But since we also need to find the y-intercept, we need to solve another equation, y-y1=m(x-x1). Now we just need to put in the values. y-(-5)=1/3(x-3) this becomes y+5=1/3 x - 1, subtract 5 to isolate y, y=1/3 x -6.
During November, sales are
at their peak. The store
manager must work 40
hours that week. How much
will the manager earn?
Answer:
$540
Step-by-step explanation:
$27 x 20
Help me on the math problem
Answer:
B
Step-by-step explanation:
rise over run the y-intercept is 3 and you go down 4 and run 3
Which difference is about 10? O A. 55.7 – 55.6 O B. 43.2 - 38.4 O C. 60.9 - 48.7 0 D. 52.5 - 26.8
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Write the expression in simplest form. 11 I + 3
Answer:
the correct answer is 8
Answer:
The answer is 8 if you do it correctly
Step-by-step explanation:
Simple math problem
*Multiple choice*
Answer:
I believe its A
Step-by-step explanation:
Found the answer and its A, good luck.
Given the graph of y = -1/2x + 1, state the domain and range.
Answer:
Step-by-step explanation:
x in (-oo:+oo)
(1/2)*x+1 = 0
1/2*x+1 = 0 // - 1
1/2*x = -1 // : 1/2
x = -1/1/2
x = -2
x = -2
Solve for x:
-2x – 9= X – 21
Answer:
x = 10
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
add 2x to both sides
-9=3x-21
add 21 both sides
12=3x
divide each side by 3
4=x
You work at a fruit stand that sells apples for $2 per pound, oranges for $5 per pound, and bananas for $3
per pound. Yesterday you sold 60 pounds of fruit and made $180. You sold 10 more pounds of apples than
bananas. How many pounds of each kind of fruit did you sell yesterday?
How many real roots are there for the equation, x^2+4x-1=0 I think the answer is two real roots
Answer:
2 real roots
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the nature of the roots are found using the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then 2 complex roots
x² + 4x - 1 = 0 ← is in standard form
with a = 1, b = 4, c = - 1, then
b² - 4ac = 4² - (4 × 1 × - 1 ) = 16 + 4 = 20
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
Missing only a few days of school will not impact your grades.
Please select the best answer from the choices provided
T
O
T7
Answer:
the answer is false
Step-by-step explanation:
36= -3d + 9
What is d
D=
Answer:
D = -9
Step-by-step explanation:
find the area if length is 4x, width is 9 and x is 1/3
Answer:
12
Step-by-step explanation:
4 • 1/3 = 4/3
9 • 4/3 = 36/3
36/3 simplified is 12
Write an equation of the line that is perpendicular to line y =(1/2) x – 7 and passes the point (0, – 3).
Answer:
y = -2x -3
Step-by-step explanation:
If a line is perpendicular to another line, it means that the gradient of the new line (one that is perpendicular) is going to be the negative reciprocal of the old one.
Reciprocal means that it is flipped. So 1/2 would be 2 and 5 would be 1/5
help me this is due in 2 minutessss
Answer:
-3 times 8+1x
Step-by-step explanation:
A bin contains 26 markers. Four students each choose the same number of markers. If they choose as many markers as possible, how many markers are left in the bin?
Your're Answer:
there would be 13 markers for each student and 26 divided by 13 would be 2 so there is two markers left in the bin.
C={0,1,3,5,7},D={1,2,4,6,7}} intersection in them??
Answer:
the answer isC n D= {1,7}
Answer:
The intersection in them is {1, 7}
Step-by-step explanation:
Let us revise some definition in the operation of sets of numbers
The intersection of two sets of numbers is the set of all elements belong to both setsThe union of two sets of numbers is the set of all elements belong to one of the two sets (without repetition)→ Ex: set A = {1, 2, 3, 5, 6} and set B = {4, 5}, then
A ∩ B = {5} ⇒ ∩ is the symbole of intersection A ∪ B = {1, 2, 3, 4, 5, 6} ⇒ ∪ is the symbole of unionLet us solve the problem
∵ C = {0, 1, 3, 5, 7} , D = {1, 2, 4, 6, 7}
→ The common elements in the two sets are 1 and 7
∴ C ∩ D = {1, 7}
∴ The intersection in them is {1, 7}
A student finds a shiny piece of metal that she thinks is aluminum. In the lab, she determines that the metal has a volume of 245 cm3 and a mass of 612 g. Calculate the density. Is the metal aluminum?
Answer:
See below.
Step-by-step explanation:
The density = mass / volume
= 612 / 245
= 2.50 g/cm^3.
The literature states a density of 2.70 for the density of aluminium. The only other metal which is close to this value is strontium ( d = 2.64) which is a silvery colour so it might be that. One way to find out which it i s to see if the metal reacts with water. Aluminium does not while strontium does.
HELPPP I DONT GET THISSS
Sally collects art work. She has 21 pieces of art so far. She buys two pieces of art every month. Set a variable and write an equation to find out how many months does it take for her to have 35 pieces of art work.
Answer:
It will take 7 months.
Step-by-step explanation:
Let m represent the number of months.
21 + 2m = 35
Then, isolate the variable.
2m = 35 - 21
2m = 14
m = 7
Plz answer with details
Answer:
[tex]\boxed{x^9}[/tex]
Step-by-step explanation:
[tex]x^6 \times x^3[/tex]
[tex]= ( x \times x \times x \times x \times x) \times ( x \times x \times x)[/tex]
[tex]= x \times x \times x \times x \times x \times x \times x \times x[/tex]
[tex]= x^9[/tex]
Hope this helped you!
What two fractions are equal to 2
Answer:
Step-by-step explanation:
8/4 and 6/3
im giving brainliest to the best answer pls help
Answer:
$4
Step-by-step explanation:
what is 2/3 divided by 5/3
Answer:
2/5
Step-by-step explanation:
Step 1:
2/3 ÷ 5/3 Equation
Step 2:
2/3 × 3/5 Reciprocal
Answer:
2/5 Multiply
Hope This Helps :)
Science is Hayley's favorite class! She especially loves doing experiments. Today, she began an experiment with 260 grams of an unknown solid. During the experiment, the change in the mass of the solid was
–
84 grams.
What is the final mass of the solid?
Answer:
I got u the correct answer is (176)
Step-by-step explanation:
I love math so i am correct.
Evaluate for (ab)^2 for a= 4 b= -3?
Answers:
144
36
81
24
Answer:
144
Step-by-step explanation:
(ab)²
(4*-3)²
(-12)²
144
Best of Luck!
A yard is approximately 5.68 x 10-4 miles. How is this number expressed in standard decimal notation?
A. 0.568
B. 0.0568
C. 0.000568
D. 56,000
Answer:
C: 0.000568 miles
Step-by-step explanation:
Essentially, the exponent on the 10 is how many places to move the decimal point, and negative versus positive dictates whether to move it right or left respectively.
Answer:
Step-by-step explanation:
The answer is A. 0.568