Answer:
24.7
Step-by-step explanation:
David buys 2 DVDs and 2 CDs in a shop and in total they cost £18.
Ellie buys 3 DVDs and 2 CDs in the same shop and they cost £22.
Form two equations and solve to find the cost of each DVD and each CD.
Answer: Down below
Step-by-step explanation:
Let x be the cost for the DVD's
Let y be the cost of the CD's
Equations :
2x + 2y = 18 OR y = (18 - 2x)/2
3x + 2y = 22
Substitution :
3x + 2[(18 - 2)/2] = 22
3x + 2(16/2) = 22
3x + 2(8) = 22
3x + 16 = 22
3x = 22 - 16
3x = 6
x = 6/3
x = 2
that's just the cost of the DVD though. now to find the CD's cost
Cost of CD's :
y = (18 - 2x)/2
y = [18 - 2(2)]/2
y = (18 - 4)/2
y = 14/2
y = 7
therefore 1 CD costs 7 pounds and 1 DVD costs 2 pounds
express 5/3 - x+2/2x as a single fraction
Answer: [tex]\frac{7x-6}{6x}[/tex]
Step-by-step explanation:
[tex]\frac{5}{3} - \frac{x+2}{2x}[/tex] [tex]\frac{5(2x)}{3(2x)} - \frac{3(x+2)}{3(2x)}[/tex] (get a common denominator)[tex]\frac{10x}{6x} - \frac{3x+6}{6x}[/tex] (distribute)[tex]\frac{10x-3x-6}{6x}[/tex] (substract --> don't forget to distribute the negative to 6!)[tex]\frac{7x-6}{6x}[/tex]The value of the equation is ( 7/6 ) - ( 1/x )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be = A
Now , the equation is
A = ( 5/3 ) - ( x + 2 ) / 2x
On simplifying the equation , we get
A = [ ( 5/3 ) ( 2x ) - ( 3 )( x + 2 ) ] / 2x ( 3 )
A = [ ( 10x) - 3x - 6 ] / 6x
A = ( 7x - 6 ) / 6x
On simplifying the equation , we get
A = ( 7/6 ) - ( 1/x )
Therefore , the value of A is ( 7/6 ) - ( 1/x )
Hence , The value of the equation is ( 7/6 ) - ( 1/x )
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There are 4 questions. I will make different questions to sum up the amount of points just please help me lol.
Complete the square to re-write the quadratic function in vertex form:
Answer:
In vertex form the parabola can be expressed as:
y = (x - 2.5)² + 0.75
Step-by-step explanation:
To complete the square, all you need to do is take the term 5x, divide the coefficient in two, and square it. That is what you need for the third term:
[tex]y = x^2 - 5x + 7\\y = x^2 - 5x + 6.25 + 0.75\\y = (x - 2.5)^2 + 0.75[/tex]
A metal bar weighs 25 ounces. 90% of the bar is silver. How many ounces of silver are in the bar?
Answer:
22.5 ounces.
Step-by-step explanation:
0.9 x 25 = 22.5. Therefore, 22.5 ounces of the bar are silver.
Hope this helps : )
Somebody please help me asap. I don’t understand anything.
Answer:
90 feet
Step-by-step explanation:
10 inches x 9 feet = 90 feet
Answer:
The answer is 90!
Step-by-step explanation:
I just did this using my calculator.
15 DVDs, 1/5 were documentaries. How many of the movies were documentaries
Answer:
3 of the DVDs were documentaries.
Step-by-step explanation:
We know that at first, there were 15 DVDs in total.
Now, we need to find how much 1/5 of 15 DVDs were equal to.
1/5 of 15 is equal to the number 3.
So, that means our answer is 3 of the DVDs are documentaries.
Hope this helps.
Answer:
I think the answer should be 3.
Which of the following values of n will result in a true statement when
substituted into the given equation?
2n + 4 = 12
A n = -1
B n = 0
C. n = 4
D. n = 6
Answer:
C. n=4
Step-by-step explanation:
got it
please help i don’t have much time left
Answer:
t=8/3+4/3u
Step-by-step explanation:
4u=3t+8
-3t+8-4u
t=8/3+4/3u
hope it helps
How many solutions will this equation have?
5(x + 12) = 7 + 5x
What is the area of the figure?
Answer:
Area of the triangle :---
1/2×base×height
1/2×5×6
15 square unit
15 square unit is the right answer.
Solve for x
Which one is it
5
6
7
8
This graph shows the rate of a scuba diver’s ascent to the surface. What does the y-intercept of the graph represent ?
A. The scuba diver ascended at a rate of 10 meters per minute
B. The scuba diver started her ascent at the surface of the water
C. The scuba diver ended her ascent 35 meters below the surface of their water
D. The scuba diver was 35 meters below the surface of the water at the start of the ascent
Answer:
D
Step-by-step explanation:
It is D because the scuba diver was 35 m below the surface of the water at the start of the ascent. Meaning that the Y value is showing how deep the diver was in the water
True or False: SR is bisected
Sweet T will feed the cat 4 ounces of food each day for 10 days. What is the smallest bag? That has enough food for grammy ermas cat. How many pounds are in 40 ounces?
Answer:
40 ounces ;
2.5 pounds
Step-by-step explanation:
Given that:
Number of ounces of food per day = 4 ounces
Number of days for which cats were fed = 10
The smallest bag that has enough food to feed the cats should be :
(ounces of food per day * Number of days)
(4 ounces * 10)
= 40 ounces
1 pound = 16 ounces
40 ounces = 40/16 = 2.5 pounds
Answer:
40 divided by 16 = 2.5 pounds .
In a survey, 32% of the people chose pizza as their favorite food. The results were reported to within 2% accuracy. What is the maximum and minimum percent of people who chose pizza? Show work
Please help me. It is my first day back to school. I am running on like 2 hours of sleep. Please and thank you. If you show your work you will get brainliest.
Answer:
min is 16, max is 88
Step-by-step explanation:
you start with 100 and subtract 32 due to the amount of people, since 32 percent of people voted, divide 32 by 2
I believe that's the awnser, if not then I apologize
Please help me!!
Which equation is equivalent to x + 139 = 537
But where are the equations?
Answer:
You need to give us the answers
Step-by-step explanation:
graph y=2x+4 how do i solve this i really need help
The hypotenuse is 30 yd.
The missing leg is 18 yd.
The missing leg is 24 yd.
The formula 242 + 02 = = 302 can be used
to find the missing leg measure.
The formula 302 + 2 = 242 can be used
to find the missing leg measure.
Answer:poop
Step-by-step explanation:
ineed points
Answer:
WHat is your question I don't see one I just see a whole bunch of answers
Step-by-step explanation:
pls help asappppppppppppppppppppppppppp
Answer:
1 is 10
2 is 6
3 is -15
Step-by-step explanation:
Kervin and Sabrina were sharing a pizza. Each ate 3/8 of the pizza. How much pizza the two friends eat altogether?
Group of answer choices
6/8
1/4
2/8
6/16
Which of the following functions is graphed below?
Answer:b I’m pretty sure
Step-by-step explanation:
Question for the day
What is the difference between face value and place value of 8 in the number 281 ?
Answer:
Face Value = 8
Place Value = 80
Step-by-step explanation:
What is the difference between face value and place value of 8 in the number 281 ?
First we define Place value and Face Value
Place value
Place value is defined as the digit multiplied wherever it is placed, either by tens, hundreds or thousands.
Face Value
Face value is defined as the digit itself within a number.
Now: we will find face value and place value of 8 in the number 281.
Face Value = 8
Place Value = 8 x 10 (because 8 is at tens place) = 80
So, the answer is:
Face Value = 8
Place Value = 80
If a garden hose can fill up a 5 gallon container in 3 minutes, then how long would the garden hose take to fill a 15
gallon container?
Answer:
Step-by-step explanation:
15
it would take 9 minutes to fill a 15-gallon container using the same garden hose.
If a garden hose can fill up a 5-gallon container in 3 minutes, we can use this information to calculate how long it would take to fill a 15-gallon container. The time it takes to fill a container is directly proportional to the volume of the container. In this case, the ratio of volumes is 15 gallons (larger container) to 5 gallons (smaller container). Since the volumes are in the ratio of 15:5, which simplifies to 3:1, the time it takes to fill the larger container will also be in the same ratio.
So, if it takes 3 minutes to fill a 5-gallon container, it will take 3 times longer to fill a 15-gallon container.
3 minutes (to fill 5 gallons) x 3 = 9 minutes
Therefore, it would take 9 minutes to fill a 15-gallon container using the same garden hose.
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Parallel, perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
There is a six sided polygon in which the first side is a line, the second side is a line segment, the third side is an arrow whose head is in the direction of the point of intersection of second side, the fourth side is a line, the fifth side is a line segment and the last side is an arrow whose head is in the direction of the point of intersection of fifth side. The exterior angle formed by the first and sixth side is labeled as 1, the exterior angle formed by first and second side is labeled as 2, the exterior angle formed by second and third side is labeled as 3, the exterior angle formed by third and fourth side is labeled as 4, the exterior angle formed by the fourth and fifth side is labeled as 5, and the exterior angle formed by the fifth and sixth side is labeled as 6. The interior angle of fifth and sixth side is a right angle.
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?
The interior angle of fifth and sixth side is a right angle is m∠5 =60°.
What is an angle?Two rays that have a common vertex, also known as the angle's sides, are what make up an angle in Euclidean geometry.The plane that contains the rays is where two rays' angles are located. Two planes intersecting at an angle also produces an angle. Dihedral angles are what these are known as. Two rays (half-lines) that share a terminal make up an angle.As we can see, it has a hexagonal shape, and each of its six inner angles has a total measure of 720 degrees.We assume the interior angles of the hexagon are 1', 2', 3', 4', 5' and 6' as the image attached.The hexagon has six pairs of supplementary angles, numbered 1 and 1', 2 and 2', 3 and 3', 4 and 4', 5 and 5', and 6 and 6', all of which are exterior angles.=> m∠1 + m∠1' = m∠2 + m∠2'=m∠3+m∠3' = m∠4 + m∠4' = m∠5 + m∠5' = m∠6 + m∠6' = 180 degree
=> m∠1 + m∠1' + m∠2 + m∠2' + m∠3+m∠3' + m∠4 + m∠4' + m∠5 + m∠5' + m∠6 + m∠6' = 180 × 6 = 1080
=> (m∠1 + m∠2 + m∠3 + m∠4 + m∠5+m∠6) + (m∠1' + m∠2' + m∠3' + m∠4' + m∠5' + m∠6') = 1080
=> (m∠1 + m∠2 + m∠3 + m∠4 + m∠5+m∠6) + 720 = 1080
=> (m∠1 + m∠2 + m∠3 + m∠4 + m∠5+m∠6) = 360 (1)
As given:
+) m∠6 = 90
+) ∠1 ≅ ∠2 ≅ ∠3
+) ∠4 ≅ ∠5
In equation (1), if we substitute 1, 2, and 5 for 3, 4, and 90, respectively, we get
m∠3 + m∠3 + m∠3 + m∠4 + m∠4 + 90 = 360
=> 3m∠3 + 2m∠4 =270 (2)
As given: m∠4 = m∠3 + 10°
Replace in the equation (2), we have:
3m∠3 + 2 × (m∠3 + 10) =270
=> 3m∠3 + 2m∠3 + 20 = 270
=> 5m∠3 = 270 -20 = 250
=> m∠3 = 250/5 = 50°
=> m∠4 = m∠3 + 10° = 50 + 10 = 60°
As ∠4 ≅ ∠5 => m∠5 ≅ m ∠4 =60°
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So far, Tim has read 70% of his book. The book has a total of 230 pages. How many pages does he have left to read?
Answer:
69 more pages
Step-by-step explanation:
help me please quickly
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4
PLEASE THIS IS DUE TODAY 3
PLEASE DO ALL THE INSTRUCTIONS SAY (IF YOU CAN SEND A PICTURE OF THE GRAPH)
Answer:
Step-by-step explanation:
Given a set of elements corresponding to the domain, we obtain the range by evaluating the function at each value:
22. [tex]f(x) = x^{2}-3[/tex]
[tex]f(-2) = (-2)^{2}-3[/tex]
[tex]f(-2) = 1[/tex]
[tex]f(0) = 0^{2}-3[/tex]
[tex]f(0) = -3[/tex]
[tex]f(2) = 2^{2}-3[/tex]
[tex]f(2) = 1[/tex]
[tex]f(4) = 4^{2}-3[/tex]
[tex]f(4) = 13[/tex]
The set of ordered pairs associated with the given function is:
[tex]S = \{(x,y)|(-2,1), (0,-3), (2,1), (4,13)\}[/tex]
23. [tex]g(x) = -5\cdot x + 2[/tex]
[tex]g(-4) = -5\cdot (-4)+2[/tex]
[tex]g(-4) = 22[/tex]
[tex]g(-1) = -5\cdot (-1) + 2[/tex]
[tex]g(-1) = 7[/tex]
[tex]g(3) = -5\cdot (3) +2[/tex]
[tex]g(3) = -13[/tex]
The set of ordered pairs associated with the given function is:
[tex]S =\{(x,y)|(-4,22),(-1,7),(3,-13)\}[/tex]
What is the range of the graph?
A) (3,5)
B) [3,5]
C) (2,5)
D) [2,5]
Answer:
B) [3, 5]
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, the line's y-values span from 3 to 5. Since both are closed dot, they are inclusive in the range:
[3, 5] or 3 ≤ y ≤ 5
Roger has 3 pieces of yarn described below.
