Answer:
Step-by-step explanation:
Cost per unit of gas = 4.2 pence
Average units of gas used per week = 50.1 units
Total cost of gas per week = Cost per unit of gas × Average units of gas used per week
= 4.2 pence × 50.1
= 210.42 pence
= £ 2.1042
Amount ria pays for gas for 13 weeks = cost of gas per week × number of weeks
= 210.42 pence × 13
= 2,735.46 pence
2,735.46 pence = £ 27.3546
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation below.
x = 1,000 − 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $1,600? (Remember: The equation for revenue is R = xp.)
p = $ (smaller value)
p = $ (larger value)
Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
[tex]x=1000-100p[/tex]
To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.
[tex]R=xp[/tex]
[tex]R=(1000-100p)p[/tex]
[tex]R=1000p-100p^2[/tex]
We need to find the value of p when the value of R is $1600.
[tex]1600=1000p-100p^2[/tex]
[tex]1600-1000p+100p^2=0[/tex]
[tex]100(16-10p+p^2)=0[/tex]
Divide both sides by 100.
[tex]p^2-10p+16=0[/tex]
Splitting the middle term, we get
[tex]p^2-8p-2p+16=0[/tex]
[tex]p(p-8)-2(p-8)=0[/tex]
[tex](p-8)(p-2)=0[/tex]
Using zero product property, we get
[tex]p-8=0[/tex] or [tex]p-2=0[/tex]
[tex]p=8[/tex] or [tex]p=2[/tex]
Therefore, the smaller value of p is $2 and the larger value of p is $8.
Find the midpoint of the line segment with end coordinates of:
(
−
2
,
−
4
)
and
(
−
1
,
−
5
)
Give coordinates as decimals where appropriate
Answer:
Step-by-step explanation:
The Midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] where the x's and y's come from the coordinates of the endpoints. Filling in:
[tex]M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)[/tex]
Which number completes the system of linear
inequalities represented by the graph?
y> 2x – 2 and x + 4y > _____
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
What system of inequalities generate the graph seen in the image?
Herein we have two inequalities generated by two linear functions whose form is described below:
f(x, y) > a (blue region) (1)
g(x, y) > b (red region) (2)
By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:
Slope
m = [- 4 - (- 3)]/(4 - 0)
m = - 1/4
Intercept
b = y - m · x
b = - 3 - (- 1/4) · 0
b = - 3
Then, the inequation is represented by the linear equation:
y > - (1/4) · x - 3
4 · y > - x - 12
x + 4 · y > - 12
The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.
To learn more on inequalities: https://brainly.com/question/20383699
#SPJ1
A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side
Answer:
20
Step-by-step explanation:
the perimeter of the square and the triangle are the same
4×(x + 10) = 3×4x
4x + 40 = 12x
40 = 8x
x = 5
=>
a triangle side is 4x = 4×5 = 20
Grafico de deportes: fútbol 30%, atletismo 25%, tenis 5%, voleibol 10%, basquetbol 20%. Si 165 jóvenes prefieren el fútbol ¿cuantos prefieren el basquetbol?
Answer:
33 jóvenes prefieren el basquetbol.
Step-by-step explanation:
Hay 165 jóvenes.
De estos, 20% prefieren el basquetbol.
¿cuantos prefieren el basquetbol?
20% de 165, entonces:
[tex]20\% = \frac{20}{100} = 0.2[/tex]
[tex]0.2*165 = 33[/tex]
33 jóvenes prefieren el basquetbol.
help me with this problem please!!!!
Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
50 points please helpppp i dont have much time left to answer it:///
Answer:
Step-by-step explanation:
The first one: The median is 58.
The second one: The maximum value is 58.
The third one: The upper quartile is 58.
The last one: The minimum value is 58.
What is the vertex of the quadratic function below?
y = x2 + 12x - 7
Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
Marta’s math textbook weighs Four-fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and one-fifth pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
50 points and brainless
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.
(b) What fraction of the possible outcomes is favorable?
(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Answer:
The answer for (a) is
1, 1 2, 2 3, 3 4, 4 5, 5 6, 6
1, 2 2, 3 3, 4 4, 5 5, 6
1, 3 2, 4 3, 5 4, 6
1, 4 2, 5 3, 6
1, 5 2, 6
1, 6
The answer for (b) is 6/21 or 0.285714286
The answer for (c) is Less than. {its in the explanation}
===================================================================
Explanation:
(a)- Its not really hard, it just takes a bit of time.
(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)
There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.
(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
8.42
Step-by-step explanation:
* means multiply
31.65/5.45 = x/1.45
5.45x = 31.65 * 1.45
5.45x = 45.8925
x = 45.8925/5.45
x = 8.42064220183
Lani had 2,380 Pesos in a savings bank. She withdrew 500 Pesos. Then deposited 680. Write an adittion sentence to represent the situation. Find the sum of the money
Answer:
2560 Pesos
Step-by-step explanation:
How to find the amount of money in the savings account:
2380 - 500 = 1880
1880 + 680 = 2560
The addition equation: 1880 + 680 = 2560
The sum of the money: 2560 Pesos
What is essential to remember when simplifying a cube root compared to a square
root?
Answer:
The cube root of a number x is the length of the side of a cube whose volume is x cubic units.
The square root of a number x is the length of the side of a square whose area is x square units.
Hence the words ‘cube’ and ‘square’.
Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square
please help me to solve this
Answer: x= 112°, y = 34°
Step-by-step explanation:
"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."
That means the angle adjacent to 56° = 90° - 56° = 34°"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."
The angle adjacent to the left of ∠X = 2(34°) = 68°x = 180° - 68° = 112°
The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°y = 68 ÷ 2 = 34°
Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.
Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.
Answer:
95. 45%
Step-by-step explanation:
Given :
Mean score, = 64
Standard deviation = 2
Score between 60 and 68
P(Z < (x - mean) / standard deviation)
P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)
P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)
P( score between 60 and 68)
P(Z < 2) - P(Z < - 2)
0.97725 - 0.02275 = 0.9545
Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%
help asap plsss ----------------------
Answer:
g(x) = |x-7|+4
Step-by-step explanation:
If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.
The vertex is at points (7,4)
4=|7-7|+4 : 4=4.
find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2
Step-by-step explanation:
1+0.092= 1.0922) 1+0.042= 1.042
Answer:
1+0.092= 1.0922) 1+0.042= 1.042
Step-by-step explanation:
it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042
Can someone help with both questions 19 & 20
Answer:
19.
h=0, the result is 1000×2⁰ = 1000
this is the population of bacteria the excitement started with at the very beginning.
h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125
this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).
20.
D 25x⁶
Step-by-step explanation:
for 19 there is not more explanation. it is all ashtray in the answer.
for 20 we see that we are dealing with a square, so ask 4 sides have the same length.
one side is 5x³.
the area of a square is simply side².
so, here (5x³)² = 25x⁶
Multiple choice question
Answer:
A. 35 square centimeters
Step-by-step explanation:
The area of a triangle is (b*h)/2.
7 * 10 = 70
70/2 = 35
The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.
Answer:
24 meters
Step-by-step explanation:
Use the pythagorean theorem
18² + x² = (x + 6)²
Expand
324 + x² = x² + 12x + 36
Subtract x² from both sides
324 = 12x + 36
Subtract 36 from both sides
288 = 12x
Divide both sides by 12
24 = x
24 meters
A(-1,-5), B(5,-2) and C(1, 1).
ABCD is a trapezium.
AB is parallel to DC and angle BAD is 90°.
Find the coordinates of D.
Answer:
D(-3, -1)
Step-by-step explanation:
The given coordinates are;
A(-1, -5), B(5, -2) and (1, 1)
The coordinates and the coordinates of the point D form a trapezium
The parallel sides of the trapezium ABCD = AB and DC
The angle ∠BAD = 90°
The coordinates of the point D = Required
Let (x, y) represent the x and y-coordinates of the point D, by the given information, we get;
The slope of the line DC = The slope of the line AB
The slope of AB = (-2 - (-5))/(5 - (-1)) = 3/6 = 1/2
∴ The slope of CD, m = 1/2
From the point C(1, 1),the equation of the line CD is therefore;
y - 1 = (1/2)·(x - 1)
∴ y = x/2 - (1/2) + 1 = x/2 + 1/2
y = x/2 + 1/2
Given that ∠BAD is 90°, therefore, AD is perpendicular to DC and we have;
The slope of AD = -1/m
∴ The slope of AD = -1/(1/2) = -2
From the point A(-1, -5), the equation of the line AD is therefore;
y - (-5) = -2·(x - (-1))
y = -2·x - 2 - 5 = -2·x - 7
y = -2·x - 7
Equating both (simultaneous) values of y to find the value of x gives;
y = y, therefore;
x/2 + 1/2 = -2·x - 7
x/2 + 2·x = 5·x/2 = -7 - (1/2) = -15/2
∴ 5·x/2 = -15/2
x = (-15/2) × (2/5) = -3
x = -3
From y = -2·x - 7, and x = -3, we get;
y = -2 × (-3) - 7 = 6 - 7 = -1
The coordinates of the point D(x, y) = (-3, -1).
Which of the following statements considered as always true?
A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only
Find d:
d=| 5 1 |
|-1 10 |
D= 51
[2 4 ]
[-3 9]
the determinant of the above matrix: 30
Answer:
D = 51, other = 30
Step-by-step explanation:
d = | 5 1 |
|-1 10|
D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51
| 2 4|
|-3 9|
(2 x 9) - (4 x -3) = 18 + 12 = 30
find the next four terms of the sequence 5, 4, 9, 13, 22
Answer:
38
Step-by-step explanation:
The first term of the given sequence is 9.
The second term is 13
= 9 + 4 . = 9 + 2 × 2.
The next number is 22.
= 13 + 9 . = 13 + 3 × 3 .
In the same way the next number of the given sequence will be
22 + 4 × 4 .
= 22 + 16 = 38.
What is the quotient of 23 and 56?
Answer:
0.410714
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Area of this figure
I need help ASAP !!!
Please help due very soon!!!!
Answer:
[tex]51 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
3*3=9 in.
Triangles(4):
[tex]3*7*\frac{1}{2}=10.5[/tex]
Multiply by 4.
[tex]10.5*4=42[/tex]
42 in
Add 9 and 42 together. You get
[tex]51 in^{2}[/tex]
Answer:
51 [tex]sq^{2}[/tex]
Step-by-step explanation:
(3*3) + 4(1.5 * 7)
9 * 42 = 51 [tex]sq^{2}[/tex]
