all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
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A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour. How many pounds of flour, to the nearest tenth of a pound, does he need?
Answer:
Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin
There are 2.6 pounds of flour.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The recipe calls for 1.2 kilograms of flour.
Now,
Since, The recipe calls for 1.2 kilograms of flour.
We know that;
⇒ 1 kg = 2.2 pounds
So, 1.2 kg = 1.2 × 2.2 pounds
= 2.6 pounds
Thus, There are 2.6 pounds of flour.
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Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
Answer:
13/15
Step-by-step explanation:
15 is the least common denominator,
so 1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15
It can't be reduced.
Answer:
Step-by-step explanation:
The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)
1/5 * 3/3 = 3/15
2/3 * 5/5 = 10/15
3/15 + 10/15 = 13 / 15
Solve 2x^2 - x ≥ 15. Show your work
Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
A 15 foot slide casts a shadow that is 25 feet long. A tree is standing next to the slide and casts a shadow that is 40 feet long. How tall is the tree?
Answer:
30 feet
Step-by-step explanation:
The height of the tree is 24 feet casting a shadow of 40 feet long.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Assuming the height of the tree to be x feet.
15 : 25 : : x : 40.
15/25 = x/40.
25x = 600.
x = 24
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If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!
Answer:
65.214
Step-by-step explanation:
0x100=0
6x10=60
5x1=5
2x(1/10)=0.2
1x(1/100)=0.01
4x(1/1000)=0.004
add all of these values up. hope this helps!
6c = 2p – 10. write the equation in function notation, where c is the independent variable.
Answer:
p(c) = 3c +5
Step-by-step explanation:
Effectively, you want to solve for p.
6c = 2p -10
6c +10 = 2p
3c +5 = p
p(c) = 3c +5 . . . . function notation (p is a function of c)
3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.
Answer:
False
Step-by-step explanation:
Hope this helped
What is 12xq+35x14/455
x=multiply
+= addition
/= divide
Answer:
ı wanna learn abot it
Step-by-step explanation:
ı think u should make -b/2a and b^2-4ac
Answer please................................
Answer:
1 and 4
Step-by-step explanation:
Find the area of the shape.
Answer:
27 π
Step-by-step explanation:
Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].
3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
How many planes appear in the figure?
Answer:
5
Step-by-step explanation:
if 10 apples cost $1 how much would it cost per Apple
Answer:
10 cents per apple
Step-by-step explanation:
1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10
Find the slope of the line whose equation is 2x + y = 5.
Answer:
Slope is -2x
Step-by-step explanation:
2x + y =5
2x-2x +y= 5 -2x
y= 5 -2x
so y= -2x+5
and the slope is -2x so the answer is -2x
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
What is the answer to X=7-3y And 2x-4y=-6
I need it
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3
2x+5y>−6
−4x+3y≤2
Is (-1,7)(−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis a solution of the system?
Answer:
No
Step-by-step explanation:
Khan told me ;p
Answer:
No
Step-by-step explanation:
Solve. \sqrt{8x} -8-8=4
Answer:
x=50
Step-by-step explanation:
Let's solve your equation step-by-step.
√8x - 8 - 8 = 4
√8x - 16 = 4
Step 1: Add 16 to both sides.
√8x - 16 + 16 = 4 + 16
√8x = 20
Step 2: Solve Square Root.
√8x = 20
8x = 20^2 ( Square both sides )
8x = 400
8x/8 = 400/8 (Divide both sides by 8)
x = 50
HOPES THIS HELP :)
Can someone help me on this question? The question is down below...
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.
Answer:
A
Step-by-step explanation:
x + 2y = 7
x - y = 1
Solve for x and y?
Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
METHOD OF ELIMINATION:
Given pair of linear equations are:
x+2y= 7 – – – Eqn(i)
On comparing with a1x+b1y+c1 = 0
a1 = 1, b1 = 2, c1 = -7x-y = 1 – – – Eqn(ii)
On comparing with a2x+b2y+c2 = 0
a2 = 1, b2 = -1 , c2 = -1a1/a2 = 1/1 = 1
b1/b2 = 2/-1 = -2
c1/c2 = -7/-1 = 7
We have,
a1/a2 ≠ b1/b2 ≠ c1/c2
So, Given pair of linear equations in two variables have a unique solution.
Now,
On Subtracting eqn(ii) from eqn(i) then
x+2y = 7
x-y = 1
(-)
_______
0 +3y = 6
_______
⇛ 3y = 6
⇛ y = 6/3
⇛ y = 2
On Substituting the value of y in (1) then
⇛ x-2 = 1
⇛ x = 1+2
⇛x = 3
Answer: Therefore , the value of x and y with be (3,2) respectively.
Additional comment:
If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.1/4 of 90. …………………????
Answer:
22.5
Step-by-step explanation:
7. One serving of Ms. Scott's tomato soup is 0.75 cup. How many servings are in the 72-cup pot? 104.2. servings 10.42 servings 96 servings O 9.6 servings
Answer:
96 Servings
Step-by-step explanation:
Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings
Answer:
96 servings
Step-by-step explanation:
Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.
[tex]\frac{72}{0.75} = 96[/tex]
help ASAP please again
she got a 110 score
explanation: sorry ignore just had to do 20 characters
Hello please answer everything carefully :)
Answer:
Line 3
Step-by-step explanation:
Line three should be
2*3*sqrt(5)-3sqrt(5)
How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50
Answer:
Step-by-step explanation:
x=2,−5,5
if any doubt leave a comment
Give BRAINLIEST
Plz help with this question
Answer:
a) 72cm²
b) 9 cm²
c) 9 cm²
d) 54 cm²
Step-by-step explanation:
a) The area A of a rectangle is given by the formula, A=lw
12 * 6 = 72cm²
b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.
(12 - 3) * 6 = 54 cm²
if f(x)=4(3x-5), find f^-1(x)
Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12