Answer:
Step-by-step explanation:
Find the amount of time it takes for a beam of light from the Sun to reach Earth.
Liam buys some fruit for £26.55.
He pays the exact amount using two notes and four coins.
List the notes and coins Liam could have used.
Answer:
£20 note, £5 note, 50p,50p,50p, 5p
Step-by-step explanation:
Liam buys some fruit for £26.55 by paying 2 notes of £20 and £5 and 3 coins of 50 cent and one coin of 5 cent.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Liam buys some fruit for £26.55.
He pays the exact amount using two notes and four coins.
So, possible notes are £1, £5, £10 and £20.
And the possible coins are 1¢, 5¢, 10¢, 25¢, 50¢, and £1.
So, through trial and error,
we get notes of £20 and £5.
And the coins are three coins of 50 cent and 1 coin of 5 cent.
The total amount = adding the amount of notes and coins.
£26.55 = £20 + £5 + 3(50¢) + 5¢
Therefore, notes of £20 and £5 and the coins are three coins of 50 cent and 1 coin of 5 cent, Liam used.
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Which inequality represents the values of x that ensure triangle abc exists? a triangle with side lengths of 6.5 units, 3.5 units, and 2.5 + x units
The inequality that represents the values of x that ensure the triangle ABC exists is 0.5 < x < 7.5
Inequality is a term used in mathematics to represent a relation that makes an unequal comparison between two functions.
As the lengths of the sides of the triangle are 6.5 units, 3.5 units, and 2.5 + x units, we can use the property which states that the sum of two sides of the triangle is always greater than the third side, therefore;
6.5 + 3.5 > 2.5 + x
10 > 2.5 + x
10 - 2.5 > x
x < 7.5
Now we use the property which states that the difference between two sides of the triangle is always less than the third side of that triangle as follows;
6.5 - 3.5 < 2.5 + x
3 < 2.5 + x
3 - 2.5 < x
0.5 < x
Now we combine both values as follows;
0.5 < x < 7.5
Therefore the inequality that represents the values of x is 0.5 < x < 7.5
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Solve the equation.
x^2 + 7x = 0
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 0\:\; or \:\: x = -7 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} + 7x = 0 [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}(x + 7) = 0 [/tex]
There are two cases now,
Case 1 :
[tex]\qquad\displaystyle \tt \rightarrow \: x = 0[/tex]
Case 2 :
[tex]\qquad\displaystyle \tt \rightarrow \: x + 7 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = - 7[/tex]
So, the possible values of x are :
[tex]\qquad\displaystyle \tt \rightarrow \: 0 \: \: and \: \: - 7[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]x=0, \quad x=-7[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2+7x=0[/tex]
Factor x from the left side of the equation:
[tex]\implies x(x+7)=0[/tex]
Using the Zero Product Property, set each factor equal to zero and solve for x:
[tex]\implies x=0[/tex]
[tex]\implies x+7=0 \implies x=-7[/tex]
Therefore, the solutions of the equation are:
[tex]x=0, \quad x=-7[/tex]
Zero Product Property: If a⋅b = 0 then either a = 0 or b = 0 (or both).
Pls tell me the answer thank you
Kelsey ran the 40 meter track at her school in 91.4 seconds running at the same speed how long did it take for the run 100 meter
Answer:
Kelsey ran 100 meters in 228.5 seconds.
Step-by-step explanation:
To find the answer, first find out how many seconds it takes for her to run 1 meter.
91.4/40=2.285
Now, multiply that by 100.
228.5
Kelsey ran 100 meters in 228.5 seconds.
Fatima uses 3 cups of flour to bake 33 healthy muffins. Describe the relationship between the cups of flour and the amount of healthy muffins baked.
The relationship between the cups of flour and the number of healthy muffins baked is C = 11M.
What is an equation?An equation is a representation variable and constants on both sides of the equality showing that terms of both sides of the equality sign are equal.
According to the given Fatima uses 3 cups of flour to bake 33 healthy muffins.
Assuming no. of cups to be C and no. of Muffins to be M.
If we divide M/C we get a scale factor of 11.
∴ The relationship between the cups of flour and the number of healthy muffins baked is C = 11M Or M = C/11.
We can put values of C and M to confirm that our equation is correct.
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Evaluate the function.
ƒ(x) = −x² + x + 16
Find ƒ(−7)
Answer:
f(-7) = 58
Write the problem:
f(x) = -x^2 + x + 16
Plug -7 into the equation:
f(-7) = (-7)^2 + (-7) + 16
Solve:
f(-7) = 49 + (-7) + 16
f(-7) = 42 + 16
f(-7) = 58
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!!!!!!!!!!!!!!URGENT!!!!!!!
Some information is given about each sphere. Order them from least volume to greatest volume. You may sketch a sphere to help you visualize if you prefer. Sphere A: Has a radius of 4 Sphere B: Has a diameter of 6 Sphere C: Has a volume of 64 Sphere D: Has a radius double that of sphere B.
The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.
What will be the volume of the sphere?The volume of the sphere is calculated as:
= 4/3 πr³
where r = radius
The volume of sphere A will be:
= 4/3 πr³
= 4/3 × π × 4³
= 85.3π
The volume for sphere B will be:
= 4/3 πr³
= 4/3 × π × (6/2)³
= 4/3 × π × 3³
= 36π
The volume for C is given as 64π.
The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6
= 4/3 πr³
= 4/3 × π × 6³
= 288π
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Margaret does the following problem incorrectly.
-0.46 + (-0.54) =
Margaret’s answer: -0.46 + 0.54 = 0.08
Please find the error and resolve the problem to help
PLS HELP FAST ALSO CAN YOU BREAK IT DOWN FOR ME
The problem is in the parenthesis
Explaination: plus and minus is minus. That means -0.46-0.54=-1.
DUE TODAY ASAP!! Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?
Include step by step explanation for brainliest.
If Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. Then after 14 weeks Megan and Connor have saved the same amount.
What is Equation?Two or more expressions with an equal sign is called as equation.
Let x=the number of weeks
For Megan we have:
50+5.5x
For Connor we have:
18.50+7.75x
Let us equate Megan's and Connor to have same amount.
50+5.5x=18.50+7.75x
Let us take variables on one side and numbers on other side.
50-18.50=7.75x-5.5x
31.5=2.25x
Divide both sides by 2.25
x=14
Hence after 14 weeks Megan and Connor have saved the same amount.
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multiplication tables from 2 to 20
multiplication tables from 2 to 20
table of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
2 x 8 = 16
2 x 9 = 18
2 x 10 = 20
table of 3
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
3 x 8 = 24
3 x 9 = 27
3 x 10 = 30
table of 4
4 X 1 = 4
4 X 2 = 8
4 X 3 = 12
4 X 4 = 16
4 X 5 = 20
4 X 6 = 24
4 X 7 = 28
4 X 8 = 32
4 X 9 = 36
4 X 10 = 40
table of 5
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
5 x 6 = 30
5 x 7 = 35
5 x 8 = 40
5 x 9 = 45
5 x 10 = 50
table of 6
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60
table of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
7 x 4 = 28
7 x 5 = 35
7 x 6 = 42
7 x 7 = 49
7 x 8 = 56
7 x 9 = 63
7 x 10 = 70
table of 8
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 = 72
8 x 10 = 80
table of 9
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90
table of 10
10 x 1 = 10
10 x 2 = 20
10 x 3 = 30
10 x 4 = 40
10 x 5 = 50
10 x 6 = 60
10 x 7 = 70
10 x 8 = 80
10 x 9 = 90
10 x 10 = 100
table of 11
11 x 1 = 11
11 x 2 = 22
11 x 3 = 33
11 x 4 = 44
11 x 5 = 55
11 x 6 = 66
11 x 7 = 77
11 x 8 = 88
11 x 9 = 99
11 x 10 = 110
table of 12
12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
12 x 7 = 84
12 x 8 = 96
12 x 9 = 108
12 x 10 = 120
table of 13
13 x 1 = 13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
13 x 5 = 65
13 x 6 = 78
13 x 7 = 91
13 x 8 = 104
13 x 9 = 117
13 x 10 = 130
table of 14
14 x 1 = 14
14 x 2 = 28
14 x 3 = 42
14 x 4 = 56
14 x 5 = 70
14 x 6 = 84
14 x 7 = 98
14 x 8 = 112
14 x 9 = 126
14 x 10 = 140
table of 15
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
15 x 6 = 90
15 x 7 = 105
15 x 8 = 120
15 x 9 = 135
15 x 10 = 150
table of 16
16 X 1 = 16
16 X 2 = 32
16 X 3 = 48
16 X 4 = 64
16 X 5 = 80
16 X 6 = 96
16 X 7 = 112
16 X 8 = 128
16 X 9 = 144
16 X 10 = 160
table of 17
17 x 1 = 17
17 x 2 = 34
17 x 3 = 51
17 x 4 = 68
17 x 5 = 85
17 x 6 = 102
17 x 7 = 119
17 x 8 = 136
17 x 9 = 153
17 x 10 = 170
table of 18
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
18 x 5 = 90
18 x 6 = 108
18 x 7 = 126
18 x 8 = 144
18 x 9 = 162
18 x 10 = 180
table of 19
19 x 1 = 19
19 x 2 = 38
19 x 3 = 57
19 x 4 = 76
19 x 5 = 95
19 x 6 = 114
19 x 7 = 133
19 x 8 = 152
19 x 9 = 171
19 x 10 = 190
table of 20
20 * 1=20
20*2=40
20*3=60
20*4=80
20*5=100
20*6=120
20*7=140
20*8=160
20*9=180
20*10=200
what is the use of multiplication chart?
A grid including all the times tables is plainly displayed on a multiplication chart. It's a useful tool for remembering multiplication facts. Make a chart of the math multiplication tables and use it for calculations or daily reading. This will aid in your memorization.
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If I were to solve an equation such as 14x-3=24x+29, would I start inversing the 24x or the 14x first? I have been doing the lower variable number first this whole time but I seem to get it wrong since it's supposed to be negative.
What is the equation of the line that passes through the point
(3,-7) and has a slope of -4/3
Using point-slope form, the equation is [tex]y+7=-\frac{4}{3}(x-3)[/tex].
Answer:
y = - [tex]\frac{4}{3}[/tex] x - 3
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 )
here m = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
to find c substitute (3, - 7 ) into the partial equation
- 7 = - 4 + c ⇒ c = - 7 + 4 = - 3
y = - [tex]\frac{4}{3}[/tex] x - 3 ← equation of line
if x + ay = b then y equals
Hey there!
[tex]x+ay=b\\[/tex] for y
Add -x to both sides:
[tex]ay+x+-x=b+-x\\ay=b-x[/tex]
Now, let's divide both sides by a:
[tex]\frac{ay}{a} =\frac{b-x}{a}[/tex]
[tex]y=\frac{b-x}{a}[/tex]
Hope this helps!
Select the equation for the line in point-slope form.
Answer:
(d) y -8 = -5/8(x +8)
Step-by-step explanation:
You want the point-slope equation for the line through the points listed in the table.
Point-slope formThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
ApplicationThe first point listed in the table is (h, k) = (-8, 8), so the equation will be of the form ...
y -8 = m(x -(-8))
y -8 = m(x +8)
Comparing this form to the answer choices, we see that it matches choices (b) and (d). These have m = -8/5 and m = -5/8, respectively.
SlopeThe slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 7/8 -8)/(-3 -(-8)) = (-3 1/8)/5
Clearly the magnitude of this is less than 1, so cannot match m=-8/5, which has a magnitude greater than 1. The appropriate answer choice is (d):
[tex]\boxed{y-8=-\dfrac{5}{8}(x +8)}[/tex]
__
Additional comments
The slope can be worked out to be ...
(-3 1/8)/5 = (-25/8)/5 = -5/8
This confirms our answer choice.
We know the magnitude of (-3 1/8)/5 is less than 1 because 3 1/8 < 5.
Write the polynomial in standard form that represents the perimeter of the
quadrilateral. Show and explain the steps that you took in finding the polynomial in
stadard form. Use at least 3-4 sentences in your explanation.
The polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3
The quadrilateral is a plane that has four sides.
The sides of the quadrilateral are
3x-2, 2x+1, 5x-2 and 2x
The perimeter of the quadrilateral is the sum of all the sides of quadrilateral
The perimeter of the quadrilateral = 3x-2 + 2x+1 + 5x-2 + 2x
Rearrange the terms and add or subtract the like terms
= 3x + 2x + 5x + 2x -2 + 1 - 2
= (3+2+5+2)x - 2+1-2
= 12x - 3
Hence, the polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3
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What is an equation of the line that passes through the points ( -4, 5) and
(-4, -2)?
The equation is x = -4.
How to find the equation?
Use slope and slope intercept form y = mx + b,
Slope = y2 - y1/x2 - x1
Slope = 5 - (-2 )/-4 - (-4) = 7/0 = undefined
Equation of point-slope form,
(y-(-2)) = 7/0(x-(-4))
y+2 = 7/0(x+4)
7(x+4) = 0
x = -4
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What is the quotient of 8.252 ÷ 0.4?
Solve the inequality algebraically x^2+10x+9<0
Answer:
−9 < x < −1
Step-by-step explanation:
a) Let's find the critical points of the inequality.
x^2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
x + 1 = 0 or x + 9 = 0
x = −1 or x = −9
x < −9 (Wrong)
−9 < x < −1 (Correct)
x > −1 (Wrong)
Your answer is −9 < x < −1
Which type of triangle matches the V
following description?
A polygon with 2 sides of length 148 mm
and 2 sides of length 240 mm.
Equilateral
ölölőló
Isosceles
Scalene
Not a triangle
skill code: 1601101
Answer:
Isosceles
Isosceles triangles have 2 side the same length and one side different
Which are clearly sources of intentional bias? Select all that apply.
A blood pressure measuring device is later found to be inaccurate.
A test is taken using a computer. Students from households without a computer are at a disadvantage.
A math teacher is testing a new method of factoring trinomials. The teacher offers students in the class using the new method help sessions outside of class time. The class using the traditional method are not offered help sessions.
A study compares the cholesterol level of subjects eating a high-fat diet to subjects eating a low-fat diet. The blood test was later found to be inaccurate.
Two labs were asked to compare the effectiveness of a new medicine to treat kidney infections to the currently used drug. The researcher at one lab chose only healthy subjects for the new drug group, and gave less healthy patients the traditional drug.
The researcher at another lab included both healthy and sick subjects in order to better represent the population.
The options that are clearly sources of intentional bias include:
A test is taken using a computer. Students from households without a computer are at a disadvantage.A math teacher is testing a new method of factoring trinomials. The teacher offers students in the class using the new method help sessions outside of class time. The class using the traditional method are not offered help sessions.Two labs were asked to compare the effectiveness of a new medicine to treat kidney infections to the currently used drug. The researcher at one lab chose only healthy subjects for the new drug group, and gave less healthy patients the traditional drug.What is bias?It should be noted that bias in sampling simply gives an inaccurate information about the population.
It should be noted that using news devices for some people and using old devices is a bias that's intentional.
Also, when the test is taken using a computer, those that don't have computers will be affected. This is bias.
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There are 750 students in the seventh grade class and 625 students in the eighth grade class at Brookland Middle School. There are 1,375 total students at the school. About what percent of students attending Brookland MIddle School are in seventh grade? Help asap!!
The percentage of students in Brookland Middle School who are attending seventh grade is 54.54%
What is percentage?
In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it. A% is a number that has no dimensions and is dimensionless (pure).
We know that, to get the value of percentage we have to divide the value for which percentage needs to be calculated by total value and then multiply the resultant by 100.
So, we will divide the number of student in seventh class by the total number of student and then multiply it with 100.
(750/1375)100 = 54.54 %
Therefore, percentage of students attending Brookland Middle School are in seventh grade is 54.54%.
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6. If a = 2, b = 3, Evaluate 15-ab. Show all your work.
Answer:
9
Step-by-step explanation:
15-2*3
15-6
9
Jesus loves u hope it helps
Step-by-step explanation:
that means "calculate the result with these values".
the expression is
15 - ab
or
15 - a×b
for a = 2, b = 3 this gives us
15 - 2×3 = 15 - 6 = 9
Please help me it would make my whole month please!!! ILY
Answer:
David: $50.00
Pam: $47.50
Step-by-step explanation:
David:
first 10 lb $2 per lb
Additional lbs are $1
When buying 40 pounds:
first 10 lbs: $2 × 10 = $20
other 30 lbs: $1 × 30 = $30
total cost: $20 + $30 = $50.00
_______________
Pam:
$10 entrance fee
first 10 lb $1.5 per lb
Additional lbs are $0.75
When buying 40 pounds:
Entrance: $10
first 10 lbs: $1.5 × 10 = $15
other 30 lbs: $0.75 × 30 = $22.5
total cost: $10 + $15 + $22.50 = $47.50
-91=6p + 9 - 4p solve for p
Answer:
p= - 50
Step-by-step explanation:
Move the p variables to one side and the constant numbers (intergers) to the other
-91=6p + 9 - 4p
-91 - 9 = 6p- 4p
-100 = 2p
[tex]\frac{-100}{2}[/tex] = [tex]\frac{2p}{2}[/tex]
-50 = p
p= -50
ANSWER: p=50
-91=6p + 9 - 4p solve for p
1. 6p - 4p = 2p
2. -91= 2p + 9
-91-9= 100
3. 100 = 2p
p= 100/2
p= 50
yo can u help pls its just 3 problems its a screen shot of my work pls help
Answer:
140,000
Step-by-step explanation:
math just times and for the 1/⁵ is 16
Please help me with this question
HELP!!!! i dont understand
Answer:
Step-by-step explanation:
lol i poopeed
Solve the following proportion for v.
8/17=v/7
Round your answer to the nearest tenth.
Answer:
your answer is 3.3
Step-by-step explanation:
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of_________
The condition is fulfilled, Law of syllogism is applied here.
What's the Law of syllogism ?
The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c
Given:
If I'm a student, then I go to school. If I go to school, then I learn
Conclusion:
If I'm a student, then I learn.
So, the Conclusion is correct and follows law of syllogism as If I'm a student then definitely i learn as i will go to school to learn according to the statement.
Therefore, the hypothesis have to be true.
Hence, the condition is fulfilled, Law of syllogism is applied here.
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