Given:
Total bill = $67.65
Mr. Scott paid with four $20 bills.
To find:
The amount of change he have received.
Solution:
It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:
[tex]\$20\times 4=\$80[/tex]
Total bill = $67.65
Now,
Amount of change = Total amount paid - Total bill
= $80 - $67.65
= $12.35
Therefore, he should have received $12.35.
harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house
Answer:
155,000
159,999
Step-by-step explanation:
In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
e.g. Rounding off 10,999 to the nearest thousand is 11,000
In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9
how to solve 3^8 times 3^2
Answer:
3072 that what I known as a 10th grader
What is the slope of (-2,2) (-4,-4)
Answer:
3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(-4-2)/(-4--2)
-6/-2
3
Answer:
to find slope we use the following methods
Step-by-step explanation:
given
X1 -2
X2= -4
Y1= 2
Y2= -4
slope=y2-Y1 ÷X2-X1
= -4-2÷ -4-(-2)
=-6 ÷-4+2
= -6÷-2
= 3
slop of (-2,2) (-4,-4) = 3
Flying against the wind, an airplane travels 3800 kilometers in 4 hours. Flying with the wind, the same plane travels 3750 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
[tex]V_w =1100[/tex] ---- velocity of wind
[tex]V_a = 150[/tex] --- velocity of airplane
Step-by-step explanation:
Given
[tex]V_a \to[/tex] velocity of airplane
[tex]V_w \to[/tex] velocity of wind
Flying with the wind, the distance (d) is:
[tex]d = (V_w + V_a) * t[/tex]
Where d and t are distance travel and time spent with the wind
So:
[tex]3750 = (V_w + V_a) * 3[/tex]
Divide by 3
[tex]1250 = (V_w + V_a)[/tex]
Flying against the wind, the distance (d) is:
[tex]d = (V_w - V_a) * t[/tex]
Where d and t are distance travel and time against with the wind
So:
[tex]3800 = (V_w - V_a) * 4[/tex]
Divide by 4
[tex]950 = (V_w - V_a)[/tex]
Make [tex]V_w[/tex] the subject
[tex]V_w= 950 + V_a[/tex]
Substitute: [tex]V_w= 950 + V_a[/tex] in [tex]1250 = (V_w + V_a)[/tex]
[tex]1250 = 950 + V_a + V_a[/tex]
[tex]1250 = 950 + 2V_a[/tex]
Collect like terms
[tex]2V_a = 1250 -950[/tex]
[tex]2V_a = 300[/tex]
Divide by 2
[tex]V_a = 150[/tex]
Substitute [tex]V_a = 150[/tex] in [tex]V_w= 950 + V_a[/tex]
[tex]V_w =950 +150[/tex]
[tex]V_w =1100[/tex]
Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
Identify the coefficients in this expression 4+3×+5×
Answer:
8Step-by-step explanation:
4 + 3x + 5x
= 4 + 8x
Hence, coefficient of x is 8 (Ans)
What is the answer for this
Answer:
A
Step-by-step explanation:
The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.
Equation of a line is y = 2x + 5
a) what is the gradient?
b)what is y- intercepted?
c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?
Answer:
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and g is y intercept
a) The gradient is the slope and we have the value as 2
b) The y-intercept here is 5
c) for slope -3 and intercept 1, the equation becomes
y = -3x + 1
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
Find the distance between the points (-6, -8) and (6, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
[tex]\displaystyle d = 13[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-6, -8)
Point (6, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(6- -6)^2+(-3- -8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{12^2+5^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{144+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{169}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 13[/tex]22344=14^3 in logarithmic form
Answer:
log 14 22,344 = 3
where 14 is the base logarithm
Step-by-step explanation:
Here, we have the base of the log as 14 and the exponent or power as 3
So we have the general form as;
Given y = a^x
Log form is log a y = x
Applying this here, we have
log 14 22,344 = 3
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in second, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second
10.17 seconds
hope this helps
Where is point B? (im also not good at these at all)
Answer:
[tex]{ \tt{on \: x - axis : 3}} \\ { \tt{on \: y - axis : 0}} \\ = > \: { \tt{x, \: y}} \\ { \boxed{ \bf{substitute \: for \: x \: and \: y}}} \\ \therefore \: { \boxed{ \bf{answer : } \:{ \tt {(3, \: 0)}}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
Which equation is equivalent to the given equation
X2-6x=8
Answer:
Step-by-step explanation:
x^2 -6x-8=0
Which of the following systems of linear inequalities is represented by the solution graphed below?
Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives. If Cameron drove 827.4 miles on his last route, how much money did he earn?
Answer:
$372.33
Step-by-step explanation:
For 1 mile= $0.45
For 827.4 miles = $0.45 x 827.4
= $372.33
The equation y=1470(1.05)tmodels the value of a painting in dollars (y) in terms of the number of years (t) after it was created. What is the initial value of the painting?
Answer:
0
Step-by-step explanation:
Because the initial value it the price the painting started at.
Hope this helped
Initial value of the painting as per equation y = 1470(1.05)t is equals to 0.
What is equation?
" Equation is defined as the representation of relation between two quantities using symbol of equality."
According to the question,
Given,
Equation of the given models 'y' = 1470(1.05)t
'y' represents the value of painting
't' represents the number of years
Initial year 't' = 0 years
Substitute the value of initial time 't' =0 in the given equation we get,
Initial value of the painting 'y' = 1470 (1.05) (0)
= 0 dollars
Hence, initial value of the painting as per equation y = 1470(1.05)t is equals to 0.
Learn more about equation here
https://brainly.com/question/10413253
#SPJ2
How do you graph x ≤ 5 on a number line? pls help!
Answer:
From 5, the arrow would be facing left and the dot on 5 would be closed
Step-by-step explanation:
Hope this helps
10 points!!!!! Do 14 and 15 only hurry please.
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
14. 13x+5x
=18x
180(angles on a st. line)= 18x
180/18
=10
RSU=13*10=130
UST=5*10=50
Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.
The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+i is a root, so 6-i is also a root.
So the simplest polynomial you can build with these roots is
(x - (-5)) (x - (6 + i )) (x - (6 - i )) = x ^3 - 7x ^2 - 23x + 185
(first choice)
Graph a line with y- intercept of 5 and gradient of -10/3
Step-by-step explanation:
the equation is:
y= -10/3 x +5
the graph as attached
if p(x) = x^3 + 1 is divided by (x + 2) , then the remainder is
PLS HELP!
Answer:
[tex]{ \bf{factor : x + 2}} \\ { \tt{divisor = - 2 }} \\ { \bf{f(x) = {x}^{3} + 1 }} \\ { \bf{f( - 2) = {( - 2)}^{3} + 1}} \\ { \bf{remainder = - 7}}[/tex]
y is proportional
to x
y = 72 when x = 12
Write a direct
proportion
equation.
A. y = 12x
B. y = 6x
C. 72x = 12
D. 7 x 12 = y
Answer:
B :) (im sure btw)
Step-by-step explanation:
b(1)=−7
b(n)=b(n−1)+12
Find the 4th term in the sequence.
Answer:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
8. The confectionary company "Sugary Sweet" wants to test how sweet and flavorful their participants like their candy. They manipulated three levels of sugar and also two levels of flavor in the candy for their participants to score their preference. State the hypotheses for their study.
Solution :
It is given that a company named "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.
There are Two levels of the flavor and three levels of sugar.
Thus it is a Two Way ANOVA test.
A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.
[tex]$H_{01} : \text{Mean effect of the sugar are equal}$[/tex]
[tex]$H_{02} : \text{Mean effect of the flavor are equal}$[/tex]
[tex]$H_{01} : \text{There is no interaction between the sugar and the flavor}$[/tex]
Solve:
2(2x + 3) = -6(x + 9)
Answer:
The answer is x = -6
Step-by-step explanation:
Answer:
= − 6
Step-by-step explanation:
How many millimeters are there in 6.23 meters?
623 millimeters
623,000 millimeters
6,230 millimeters
62,300 millimeters
Answer:
6,230 millimeters is your answer
You kick a 3.2 kg ball with a Force of 61 N. Find the acceleration of the
ball in m/s2. Round your answer to 1 decimal place.
Answer:
[tex]19.4 ms^{-2}[/tex]
Step-by-step explanation:
Newton second law: [tex]\vec F= m\vec a[/tex] We know the force, we know the mass, we can substitute and find the acceleration, which is [tex]61/3.2 = 19.4 ms^{-2}[/tex]
ute of Change
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth,
if necessary
Answer:
1
2
0.5
Step-by-step explanation:
Solve for x.
3x +13
6x + 5
x = [?]
Answer:
nessa resposta da 10 beijos
Answer:
x = 18
Step-by-step explanation:
The given angles are same- side exterior angles and sum to 180°, that is
6x + 5 + 3x + 13 = 180
9x + 18 = 180 ( subtract 18 from both sides )
9x = 162 ( divide both sides by 9 )
x = 18