emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6
Answer is 1832.7
step by step
z=kx^3 / y^3
167=27k/1000
k=16700/27
k=6185.2, then
z=6185.2×4^3/6^3
z=6185.2×64/216
z=1832.7
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Answer it please i need your help….
Answer: the trust store, because a smaller denominator is a bigger fraction.
What transformation takes the graph of f(x)=4x+9 to the graph of g(x)=4x+7 ?
Answer:
vertical translation DOWN 2 units
Step-by-step explanation:
y' = y - 2
Answer:
Translation 2 Units Down
Step-by-step explanation:
I took the quiz
There are 40 students trying out for a soccer team. After tryouts, 16 of these
students will make the soccer team and 4 of those who make the team will be
captains. What is the probability that Julie will be captain, given that she makes
the team?
The probability that Julie will be a captain, given that she makes the team is 1/3.
Given,
Number of students trying out for a soccer team = 40
Case of probability,
P(A) = n(A)/n(S)
n(A) = number of favourable outcomes, n(S) is the total number of events in the sample space.
Given ,
18 of 40 students will make the soccer team.
⇒ n(S) = 18
Let event A: Julie will be a captain, given that she makes the team
⇒ n(A) = 3
So, the probability that Julie will be a captain, given that she makes the team,
= P(A) = n(A)/n(S)
= P(A) = 3/18
= P(A) = 1/6
Therefore, the probability that Julie will be a captain, given that she makes the team is 1/3.
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number
The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081
What is exponential function?An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
The No of bacteria left at a particular time t is given as N(t)= Noe^-kt
where No= initial number of bacteria
k= decay constant and t = time
after 13 minutes
630= 700e^-13k
divide both sides by 700
630/700= e^-13k
0.9= e^-13k
ln0.9= -13k
k= ln0.9/-13 = -0.1054/-13 = 0.0081
time for 20 bacteria to be left =
20= 700e^-0.0081t
= 20/700=e^-0.0081t
0.0286= e^-0.0081t
ln0.0286= -0.0081t
-3.554= -0.0081t
divide both sides by -0.0081
t= -3.554/-0.0081= 439 minutes ( nearest minutes)
therefore the time for the bacteria to be left is 439minutes
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What is the least common multiple of 3 and 16?
Please help me! I don't understand this question!
Answer:
x^2-10
Step-by-step explanation:
the area of whole square is x^2, not shaded area is 5*2=10, so shaded area equals to x^2-10
The population of McKinney is about 180,000.the population is increasing at an average rate of 8.4
The average population increases every year is 21429.
What is average rate?Average rate is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given that, the population of McKinney is about 180,000.
The population is increasing at an average rate of 8.4.
So, the population increase every year
= 180,000/8.4
= 21429
Therefore, the average population increases every year is 21429.
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find the equation of a line that passes through the points (3,7) and (5,3). Leave your answer in the form y=mx+c
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (5, 3)
m = \(\frac{3-7}{5-3}\) = \(\frac{-4}{2}\) = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = - 2x + 13 ← equation of line
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
Given B is between A and C, find the value of x if AB = 27, BC = 11x, and AC = 159
Answer:
12
Step-by-step explanation:
Since, B is between A and C.
\(\therefore AB + BC=AC \\ 27 + 11x = 159 \\ 11x = 159 - 27 \\ 11x = 132 \\ x = \frac{132}{11} \\ x = 12\)
Simplify.
2x-4
²-8+12
O
O
O
-6
x+6
x-6
-
x-2
²-82+12
The simplified value of (2x - 4)² is 4x² - 16x + 16.
First, let us understand the algebraic identities;
Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.
Some of the identities are:
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b², etc.We are given (2x - 4)².
Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.
So, a = 2x and b = 4.
Put it into the identity, we will get;
Therefore,
(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16
Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.
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Jan is making a logo for her company. She begins with a 6-cm-by-12-cm rectangle. Two points along the bottom side divide that side into three equal pieces. A point on the top side divides that side into two equal pieces. The logo itself is the total shaded area, as shown. What is the area of the shaded logo, in square cm?
The area of a shape is the amount of space the shape occupies
The area of the shaded region in square cm is 48 square cm
How is the area of the logo calculatedThe logo is a trapezoid with the following dimensions
Height = 12 cmParallel sides: 6 cm and 2 cmThe area of a trapezoid is:
Area = 0.5 * Height * (Sum of parallel sides)
Substitute known values
Area = 0.5 * 12 cm * (6cm + 2cm)
Evaluate
Area = 48 square cm
Hence, the area of the logo i.e. shaded region is 48 square cm
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a decrease of 70% in9,600 gal
Answer:
The answer to this question is 6720
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Xavier is buying fencing to surround his garden if his garden has a perimeter of 30 yards and fencing cost six dollars a yard how much money will he need for the fencing
Answer:
$180
Step-by-step explanation:
If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180
Which of the following functions have 3 in their domain?
a. h(x)= √ x-14
b. g(x)= (x-7)/x
c. x^2- 3x
Answer is - x = 52.00
Hope this helps!
Is this relation a function? Justify your answer.
10
9
8
7
5
4
3
2
1
1 2 3
5
6 7
8 9 10
O A. No, because two points with the same y value have different x-
values
OB. No, because two points with the same x-value have different y
values
O C. Yes, because every x and y-value is positive,
D. Yes, because the number of x-values is the same as the number of
Answer:
i don't now
ok
please follow me
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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Look at square ABCD below.
What is its perimeter?
A. 12√2 units
B. 3√2 units
C. 18 units
D. 12 units
The perimeter of the square is 12√2 units
What is perimeter of a square?A square is a quadrilateral that has all it's sides equal and all it's angles equal. The sum of interior angles of a square is 360°. This means that each angle of a square is 90°.
The perimeter of a square is obtained by adding all the sides.
Therefore the perimeter of a square = 4l
A (-1,4) and B ( 2,7)
line AB = √2-(-1))² + (7-4)²
AB = √ 3²+3²
AB = √9+9
AB = √18 units
therefore since the sides of a square are equal, the perimeter = 4× √18
= 4×3√2
= 12√2 units
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Answer:
Option A. 12√2 units
Step-by-step explanation:
Eve is going to buy 30 pens from either shop A or shop B.
Shop A: pack of 10 pens for £2
Shop B: pack of 5 for £1.10 buy 1 pack and get 1 half price.
What is the difference in cost for all 30 pens between the two shops?
PLSS HELPPPP
The difference in the cost of all 30 pens between two shops is,
£1.05
Given, Eve is going to buy 30 pens from either shop A or shop B.
Shop A: pack of 10 pens for £2
Shop B: pack of 5 for £1.10 buy 1 pack and get 1 half price.
So, the cost of 30 pens from the shop A is,
as, a pack of 10 pens is of £2
1 pen = 2/10
30 pens = £6
Now, the cost of 30 pens from the shop B is,
as, a pack of 5 for £1.10
1 pen = 1.10/5 = £0.22
also buy 1 and get 1 at half price.
So, 2 pens = 0.22 + 0.11 = £0.33
Therefore, 30 pens = £4.95
So, the cost of 30 pens from shop A is £6 and from shop B is £4.95.
Hence, the difference in the cost of all 30 pens between two shops is,
£1.05
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The parent absolute value function is reflected across the x-axis and translated right 2 units. Which function is represented by the graph?
–|x – 2|
–|x + 2|
|–x| – 2
|–x| + 2
The function represented by the graph with the given transformations is |–x| + 2.
The function represented by the given transformations is |–x| + 2.
Let's analyze the transformations step by step:
Reflection across the x-axis:
Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.
Translation right 2 units:
Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.
Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.
Thus, the function represented by the graph with the given transformations is |–x| + 2.
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Answer: -lx-2l
Step-by-step explanation:
6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!
Homework Worksheet: 3.2 Day 1 - Slope
Name:
Period:
Question 1: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
Question 2: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
1
Question 3: Find the slope & explain what kind of slope it is.
ANSWER:
Question 4: Find the slope & explain what kind of slope it is.
ANSWER:
Question 5: Find the stope & explain what kind of slope it is
(12.-18) and (11, 12)
ANSWER:
Thank
Answer:
1) zero
2) undefined
3) negative
4) positive
5) negative y= -30x+342
hope this helps;)
PLEASE HELP I NEED HELP!!!!!!!!!!!!!
Answer:
D. 5
Step-by-step explanation:
You want the constant of proportionality in the relation shown by the graph.
Constant of proportionalityA proportional relation has the equation ...
y = kx . . . . . . . . where k is the constant of proportionality
When x=1, this becomes ...
y = k
The value of y when x=1 is marked on the graph: y = 5 at that point, so ...
k = 5
The value of the constant of proportionality is 5.
What is the range of these wages
245,140,525,163,195,174,140
(9m + 10) x2
please solve this if u do u get 30 points
Answer:
18m+20
Step-by-step explanation:
Hope this helps ya
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.