Answer:
a = (d-c)/b
Step-by-step explanation:
ab + c = d
ab = d -c
a = (d-c)/b
Answer: a = d - c/b
Explanation: To get a by itself, we first subtract c from both sides.
So we have ab = d - c.
Now divide both sides by b to get a = d - c/b.
A recipe says to use 1.5 cups of flour to make 24 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x? a. 0.6 b. 3 c. 24 d. 16
Answer: 16
Step-by-step explanation:
The constant of proportionality is a ratio that exist between two directly proportional quantities. From the question, recipe says to use 1.5 cups of flour to make 24 cookies.
y = the number of cookies made
x = the number of cups of flour used
y = kx
k = y/x
k = 24/1.5
k = 16
Therefore, the constant of proportionality which relates the number of cookies made, y, to number of cups of flour used, x is 16.
A music store bought a CD set at a cost of $25. When the store sold the CD set, the percent
markup was 35%. Find the selling price.
Answer:
$33.75
Step-by-step explanation:
The selling Price is $33.75.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A music store bought a CD set at a cost of $25.
Markup Percent= 35%
Now, the Selling Price
= 25 + 25 x 35%
= 25 + 25 x 35/100
= 25 + 25 x 0.35
= 25 + 8.75
= $33.75
Hence, the selling Price is $33.75.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ5
ZDAC = ZBAD.
What is the length of AC?
Round to one decimal place.
Answer:
x = 5.7
Step-by-step explanation:
Use the Triangle-Angle-Bisector Theorem.
[tex]\frac{CD}{DB}[/tex] = [tex]\frac{AC}{AB}[/tex]
Substitute the corresponding side lengths.
[tex]\frac{2}{2.8}[/tex] = [tex]\frac{x}{8.1}[/tex]
Cross Multiply.
16.2 = 2.8x
Divide each side by 2.8.
[tex]\frac{16.2}{2.8}[/tex] = [tex]\frac{2.8x}{2.8}[/tex]
Since 2.8 cancels out 2.8x, your left with x.
Then divide 16.2 by 2.8.
x = 5.7
-4 - 5 / -4 -10 Plz show your work
Answer:
[tex]9/14[/tex]
Step-by-step explanation:
[tex]-4 - 5 / -4 -10[/tex]
[tex]-9 / -14[/tex]
[tex]9/14[/tex]
Answer:
[tex] = \frac{9}{14} [/tex]
Step-by-step explanation:
[tex] \frac{ - 4 - 5}{ - 4 - 10} \\ \frac{ - 9}{ - 14} \\ = \frac{9}{14} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Need help as soon as possible
Answer:
The answer is B, they are both true!
Step-by-step explanation:
What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
Y
1.6
1.8
2
2.2
2.4
A. y = 2x +0.2
B. y = 0.2x +2
C. y = x+ 2
D. y = 2x + 2
Answer:
the answer is D
Step-by-step explanation
Please see the image provided.....
Answer:
the answer is 4
Step-by-step explanation:
3+7q=7+6q
7q-6q=7-3
q=4
The price of the box of 10 markers is $7. The price of the box of 24 markers is $14. All prices without tax, and the price of the boxes is the same.
Write an equation which tell the price Y for the number of markers X.
Answer:
Step-by-step explanation:
let x represent the number of markers.
Let y represent the cost for x boxes of markers.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (14 - 7)/(24 - 10)
m = 7/14 = 0.5
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 24, y = 14 and m = 0.5 into y = mx + c. It becomes
14 = 0.5 × 24 + c = 12 + c
c = 14 - 12
c = 2
The equation would be
y = 0.5x + 2
A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
A prism has a length of l, width of 2, and height of 6 feet.
Given what you know about the figure, complete these sentences.
The area of the square base is feet2.
The length of the prism is feet.
The width of the prism is feet.
Answer:
The area of the base is 16 ft^2
The length of the prism is 4 feet.
The width of the prism is 4 feet.
Step-by-step explanation:
The formula for volume of a prism is given by
V=Bh where B is the area of the base and h is the height
96 = B h
We know h is 6
96 = B6
Divide each side by 6
16 = B
The area of the base is 16 ft^2
Since the base is a square
B =16ft^2
since it is a square, the area is given by
B =s^2 where s is the side length
16 =s ^2
Taking the square root
4 = s
The length of the prism is 4 feet.
The width of the prism is 4 feet.
Answer:
1. square base = A = 16 ft² (Base area of square prism)
2. Length of prism = 4 ft
3. Width of prism = 4 ft
Step-by-step explanation:
given:
Volume of a square base prism (V) = 96 ft³
height (h) = 6 ft
Length (L) = L
Width (W) = W
find:
1. square base
2. Length of prism
3. Width of prism
---------------------------------
1.
Vol of prism = base area (A) x height (h)
V = A * h
96 = A * 6
A = 96 / 6
A = 16 ft² (Base area of square prism)
2.
Length of prism = A = s²
16 = s²
s = √16
s = 4 ft.
therefore the Length of a square base prism = 4 ft
3.
square base = L = W
therefore the Width of a square base prism = 4 ft
Which choice is equivalent to the quotient below?
Answer: D
Step-by-step explanation:
Mark me brainiiest.✌✌
Graph y = cos (12/π x)+6 in the interactive widget?
Answer:
Step-by-step explanation:
PLEASE HELP I WILL AWARD BRAINLIEST LOTS OF POINTS TOO <3
When solving the equation, which is the best first step to begin to simplify the equation?
Negative 2 (x + 3) = negative 10
(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction
StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction
Answer:
B
Step-by-step explanation:
First, divide both sides by -1/2 to remove the -2 from the left side
Then you can subtract 3 from both sides to solve for x
x=2 btw
Answer:
B
Step-by-step explanation:
[tex]1 + 1[/tex]
1+2
Answer:
2 and 3.
Step-by-step explanation:
1 + 1
Factor out.
2(1)
Multiply.
= 2
1 + 2
Add the terms.
= 3
QUICK!!! Which question is best modeled with a division expression?
A: How many 3/8's are in 48?
B: What's 3/8 of 48?
C: What is the total of 3/8 and 48?
D: How much more than 3/8 is 48?
Answer:
A: How many 3/8's are in 48?
Step-by-step explanation:
A: How many 3/8's are in 48? how many are in means divide
B: What's 3/8 of 48? = of means multiply
C: What is the total of 3/8 and 48? total means add
D: How much more than 3/8 is 48? more than means add
Answer:
Step-by-step explanation:
It is
A is awnser
PLS HELP 16 POINTS AND A BRAINLIEST
Watch the video clip of Tillman the English bulldog, the Guinness World Record holder for Fastest Dog on a Skateboard.
1. At the conclusion of the video, your classmate takes out his or her calculator and says, “Wow that was amazing!
That means the dog went about 5 meters in 1 second!” Is your classmate correct, and how do you know?
After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman’s skateboarding record.
Lightning’s fastest recorded time was on a 75-meter stretch where it took him 15.5 seconds. Based on these data,
did Lightning break Tillman’s record for fastest dog on a skateboard? Explain how you know.
Answer:
no, the first dog is faster
Step-by-step explanation:
the first dog went 5m in 1 second that means he can go 75m in 15 seconds. the other dog went 75m in 15.5 seconds.
The mapping shows a relationship between input and output values.
A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 5, 0), (2, negative 3), (negative 1, negative 3), (4, negative 2), (4, 2), (6, negative 1).
Which ordered pair could be removed to make this relation a function?
(–5, 0)
(–1, –3)
(4, –2)
(6, –1)
Answer:
(4, –2)
Step-by-step explanation:
A function has associated only one output for each input. In the ordered pairs, we can see that for the input 4 there are two associated outputs, which are -2 and 2. Then, to make the relation a function, one of them must be removed.
Answer:
(4,-2)
Step-by-step explanation:
Which point lies on the line with point-slope equation y- 2 = 5(x - 6)?
A. (-6, -2)
B. (6,2)
C. (-6, 2)
D. (6,-2)
Suppose that the weight, X, in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. Calculate P(120≤X≤153).
Answer:
0.6004
Step-by-step explanation:
Quadratic equation in standard form
x^2-9=0
Answer:
x^2 + 0x - 9 = 0
Step-by-step explanation:
x^2-9=0 is already in standard form for a quadratic. If desired it may also be rewritten as x^2 + 0x - 9 = 0
Alex has 70% of her weekly paycheck automatically deposited into a savings account. this week $35. Alex wants to know the total amount of her paycheck this week.
Answer: The total amount of her paycheck this week is $50
Step-by-step explanation:
Hi, the full question is :
Alex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.
So, to answer this question we have to write an equation and solve for x (total amount of the paycheck).
Since 70% of her weekly paycheck is automatically deposited into a savings account. and this week $35 is deposited, we have to multiply the total amount of the paycheck (x) by the percentage deposited in decimal form (70/100), that expression must be equal to the amount deposited (35)
x (70/100) = 35
Solving for x:
x (0.7) =35
x = 35/0.7
x = $50
Answer:
Step-by-step explAlex is 70% of her weekly paycheck automatically deposited into a savings account. This week $35 is deposited. Alex wants to know the total amount of your paycheck this week.
So, to answer this question we have to write an equation and solve for x (total amount of the paycheck).
Since 70% of her weekly paycheck is automatically deposited into a savings account. and this week $35 is deposited, we have to multiply the total amount of the paycheck (x) by the percentage deposited in decimal form (70/100), that expression must be equal to the amount deposited (35)
x (70/100) = 35
Solving for x:
x (0.7) =35
x = 35/0.7
x = $50
anation:
Find the volume of the following figure.
10 mi3
24 mi3
22 mi3
18 mi3
From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet above the ground. How many feet must the dog walk to reach the open barn door directly below Ted (to the nearest foot)?
Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
Question 4 on my algebra work: Solve the equation. (full work shown appreciated please, it's been a while since I've done a problem like this) [tex]\frac{6+n}{4} = 4[/tex]
Answer:
Option D
Step-by-step explanation:
Take a look at the steps below;
[tex]( 6 + n ) / 4 = 4,\\6 + n = 16,\\n = 10\\\\Conclusion; Solution Is 10[/tex]
To derive the second step we multiplied either side by 4, and as the 4 and 4 cancel each other out on one side of the equation, the other side being 4 * 4 = 16, we receive 6 + n = 16. The third step was found through the subtraction of 6 on either side of the equal sign. 16 - 6 = 10, so your solution is Option D
Round 3504 to 3 significant figures
Please help me :) once again
Answer:
About 11.31 cm
Step-by-step explanation:
If one of the legs of a right iscosceles triangle is 8, then the length of the other one must also be 8. Therefore, by the Pythagorean Theorem:
[tex]h=\sqrt{8^2+8^2}=\sqrt{64+64}=\sqrt{128}\approx11.31[/tex]
Hope this helps!
Solution,
Hypotenuse=?
Perpendicular=8 cm
Base=8cm
Now,
Using Pythagoras theorem,
h^2=p^2+b^2
or,h^2=(8)^2+(8)^2
or,h^2=64+64
or,h^2=128
or,h=√128
or,h=8√2
h=11.31 cm
hope it helps
Good luck on your assignment
Write the equation of the function when y=xl is translated 1 unit up and 6 units to
the left?
Oa) y = |x – 6|+1
Ob) y = |x – 1| +6
Oc) y = |x+1|+6
d) y = |x+6|+1
Answer:
Option d) is correct
Step-by-step explanation:
Given: [tex]y=\left | x \right |[/tex] is translated 1 unit up and 6 units to the left
To find: equation of the function when the given function is translated 1 unit up and 6 units to the left
Solution:
See the graph of [tex]y=\left | x \right |[/tex] .
As the graph of the given function is translated 1 unit up and 6 units to the left, the graph becomes as shown in the image attached.
The equation of the function when the given function is translated 1 unit up becomes [tex]y-1=|x|[/tex] and when this function is translated 6 units to the left, the equation becomes [tex]y-1=|x+6|[/tex]
[tex]y=|x+6|+1[/tex]
So, option d) is correct.
Solve x-5=3x+1 what is the solution and answer thanks
Answer:
1.5
Step-by-step explanation:
What is the measure of the arc represented by the numbers 7 and 4 on a clock face? *PLS ANSWER*
Answer:
90°
Step-by-step explanation:
The clock face is a circle and represents 360°
There are 12 divisions 1- 2- 3- 4 - 5 - 6 - 7 - 8 - 9 - 10- 11 - 12 on the face
Each division = 360° ÷ 12 = 30°
There are 3 divisions between 4 and 7 , thus
arc measure = 3 × 30° = 90°
Answer:
90°
Step-by-step explanation:
y=-4x+2
y = 6.x-8
I don’t understand
Answer: (1, -2)
Step-by-step explanation:
If you think about that plot from two lines crossed each together, so I have a deal for you, that answer might be (1, -2).
You put $200 in a savings account. The account earns 2% simple interest per year. What is the interest earned after 5 years?
Answer:
20
Step-by-step explanation:
2% / 100 = .02
200x.02x5=20
