Answer:
a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Step-by-step explanation:
Given
x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c
with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
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6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?
Answer: 500
Step-by-step explanation:
Given
6 g butter is required to make a cupcake
If there is 3 kg butter
We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm
No of cup-cakes made
[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]
Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.
HELPPPP
Given:
The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]
To find:
The total surface area of the cube in terms of p.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex] ...(i)
Where, a is the side length.
It is given that,
[tex]V=(2+3p)^3\ \text{cm}^3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2+3p\text{ cm}[/tex]
Now, the total surface area of a cube is:
[tex]A=6a^2[/tex]
Where, a is the side length.
Putting [tex]a=2+3p[/tex], we get
[tex]A=6(2+3p)^2[/tex]
Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].
Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 B \frac{3}{2} 2 3 C 1\frac{3}{4}1 4 3 D \frac{4}{4} 4 4 Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 miles. Which track does Franklin race on?
Answer:
51
Step-by-step explanation:
51 is elaginlent to 44 and 33 12 garde things
5.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=-2x^2[/tex]
B. [tex]y=\frac{1}{2} x^2[/tex]
C. [tex]y=\frac{1}{7} x^2[/tex]
D. [tex]y=-4x^2[/tex]
Answer:
C. y= 1/7x2
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
I need help to find the value please
Answer:
13.928
Step-by-step explanation:
Pythagorean theorem. 13^2 + 5^2 = x^2
Answer:
this is easy
Step-by-step explanation:
valve of x is 30 add 13 into 30 = 43÷5 5/8
Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5
which function is nonlinear
Answer:
C, y=2x(x-4)
Step-by-step explanation:
All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).
Why was Elmo's Report Card All Wet?
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?
Answer:
hsshshshwwbwbbs29oooo
PLZ ANSWER ASAP 100 POINTS AND BRAINLIEST PLZ PLZ HELP
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Step-by-step explanation:
A parallelogram have opposite sides parallel and congruent
the given quadrilateral is a parallelogram then
10 = x + 2 Equation A
x + 5 = 2x - 3 Equation B
Solving for Equation A:
x = 10 -2 = 8 inches
Solving for Equation B;
2x - x = 5 + 3
x = 8 inches
Value X are the same equations.
Means that
For x=8 inches opposite side
So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!
Answer:
Refer to the attached file
Hope it helps..
islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?
Answer:
2,197.8
Step-by-step explanation:
Helpppp does anyone know
======================================================
Explanation:
We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.
According to that theorem, the interior angles x and 53 add up to the exterior angle 158
x+53 = 158
x = 158-53
x = 105
This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.
----------
If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.
We can find y by noting how 158 and y are supplementary
158+y = 180
y = 180-158
y = 22
Then we use the fact that adding three angles of any triangle always gets us 180 degrees
x+y+53 = 180
x+22+53 = 180
x+75 = 180
x = 180-75
x = 105
Effectively, this example helps reinforce why the remote interior angle theorem is true.
PLZ HELP ITS URGENT
it is blurry so take it again
Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.
Answer:
Exponential
Step-by-step explanation:
Linear is easy to remember because it goes in a straight LINE.
Only other option is a quadratic and this does not create a parabola
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
please help me this is due in 30 minutes
Answer:
a
c
c
a
Step-by-step explanation:
PLEASE HELP! NO SPAMMING! SHOW WORK!
The ratio of the dimensions of the model to the dimensions of the Great Pyramid is about 1 to 38. The surface area of the real pyramid is about how many times the surface area of the model.
Dimensions: a pyramid with a square base.
base sides: 6m
height: 4m
========================================================
Explanation:
Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.
The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.
The area of the second larger square is 114*114 = 12,996 square inches.
Now divide the two areas: (12,996)/(9) = 1444
It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.
In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.
Or put another way:
large area = 1444*(small area)
------------------
Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Answer:
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.
O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.
Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
Need help with this question
Answer this for me thanks
Answer:
The value of x is 15 inch.
Step-by-step explanation:
Area, A = 81 square inch
Perimeter, P = 48 inch
let the side is y.
[tex]y^2 = 81\\\\y = 9 inch[/tex]
Let the other side is d.
P = 4 d = 48
d = 12 inch
the length x is given by
[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]
So, x = 15 inch.
The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.
Answer:
5$
Step-by-step explanation:
Nvm, I know it's KM for this one y'all.
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
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for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:
y + 1 = 2/3 (x - 6)
y + 1 = 2/3x - 4
y = 2/3x - 5
An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.
The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
Here,
Let's consider the situation described in the problem:
An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.
Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.
Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).
The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.
Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).
The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(angle) = opposite / adjacent
In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):
tan(15°) = 2 / x
Now, solve for x:
x = 2 / tan(15°)
Using a calculator:
x ≈ 2 / 0.26794919243 ≈ 7.47 miles
So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
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