Answer:.£570.84
Step-by-step explanation:
426 x 1.34 = 570.84
Answer:
£426 * 1.34 = £570.84
Step-by-step explanation:
The vertices of are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that is isosceles.
Answer:
See explanation
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Isosceles Triangle: 2 sides are the same
[tex]d = \sqrt{(4 - 7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
[tex]d = \sqrt{(10-4)^2+(-3+3)^2} = 6[/tex]
[tex]d = \sqrt{(10-7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
Since we have 2 distances between the vertices the same, we have an isosceles triangle.
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
divide $1600 in the ratio of 3:7:10
Answer:
240, 360, 800
Step-by-step explanation:
We can call the numbers 3x, 7x, and 10x and then we can write:
3x + 7x + 10x = 1600
20x = 1600
x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.
Please urgently please❤️ Please help
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
Giselle has $40 to spend on parking this month. Parking costs her $2.50 each day. After Giselle parks for 9 days, which statement is true? 1.Giselle has spent less than 12 of her parking money. 2.Giselle has spent 12 of her parking money. 3.Giselle has spent more than 12 of her parking money. 4.Giselle has spent almost all of her parking money.
Answer:
Giselle has spent more than 1/2 of her parking money.
Step-by-step explanation:
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
What's the correct answer to both of these?
Answer:
See explanation.
Step-by-step explanation:
1) The correct answer is B.
2) The correct answer is D.
To find the answer, plug the equations into Desmos.
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What is the sum of 1.57 and 6.88?
Answer:
8.45
Step-by-step explanation:
You add the ones place together:
1 + 6 = 7
You add the tenths place together:
0.5 + 0.8 = 1.3
You add the hundredths place together:
0.07 + 0.08 = 0.15
Then you combine them all together to get 8.45
Which of these is the statement of zero product rule?
Answer:A
Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both
The statement of the zero product rule is if a•b=0 then either a=0 or b=0 or both.
We have given that the statements
if a•b=0 then either a=0 or b=0 or both
if a•b=0 then a=0 or b=0.
if a•b=0 then either a=0 or b=0 but not both
if a•b=0 then a=0.
We have to find the statement of zero divisors,
What is the statement of zero divisors?If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.
Then the zero product is defined as,
The zero product property states that if a⋅b=0 then either a or b equal zero
Therefore option A is correct.
if a•b=0 then either a=0 or b=0 or both.
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2 rectangles have the same area. rectangle A is 6cm by 4cm, B is 3cm by Xcm. what is the value of X?
Answer:
x=8
Step-by-step explanation:
If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
Result = 9b/25 or 36b/100
Step-by-step explanation:
The number is b
step 1
b is decreased by 40%
value of 40% of b = 40/100 *b = 4b/10
New value after this change = b - 40% decreased value of b = b -4b/10
= (10b-4b)/10 = 6b/10
Step 2 The new value obtained is again decreased by 40%
value of 40% number found in step 1 = 40% of value found in step 1
value of 40% number found in step 1 = 40/100 * 6b/10 = 24b/100
This value (24b/100) is subtracted from value found in step 1(6b/10) as given that value obtained is decreased by 40%
new value found after 40% decrease = 6b/10 - 24b/100
new value found after 40% decrease = 60b/100 - 24b/100= 36b/100
new value found after 40% decrease = 36b/100 = 9b/25
Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25
*remember to always be nice!
Have an outstanding day
The final Result is 36x/25
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
let the number be x
x is decreased by 40%
40% of x = 40/100 * x = 4x/10
After decreasing
= x- 4x/10
=6x/10
Again decreasing 40%
Then , the value will be
= 6x/10- 0.4*6x/10
=6x/10- 02.4x/10
= 3.6x/10
= 36x / 100
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A bag of fruit in the supermarket contains 4 oranges and 9 apples.You buy enough bags to get 32 oranges.How many apples will you get?
Answer:
37 apples
Step-by-step explanation:
just add 5 to 32
Answer:
72
Step-by-step explanation:
Oranges:Apples
4:9
4*8:9*8
32 oranges:72 apples
The length of a rectangle is 2 less than 3 times its width. If the area of the rectangle is 96cm², what is the length of the rectangle?
Answer: The length is 16 cm
Step-by-step explanation:
L= 3w -2 w × L = 96 substitute for L
w(3w -2) =96
3w² -2w = 96
3w² -2w - 96 = 0 factor this
(3w + 16)(w -6) = 0 Set the w-6 factor equal to 0 and solve for w (The 3w + 16 will yield a negative number; real rectangles can't have negative dimensions!)
w-6 = 0 so w = 6
Original equation for L L =3w -2 substitute 6 for w
L = 3(6) - 2 = 18 -2
L = 16
HELP PLZZZZZZZZZZZ!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
sohcahtoa for right triangles
Answer:
No, because triangle XYZ is not a right triangle
Step-by-step explanation:
Since this is not a right triangle, we cannot use trig functions
John can cut the yard on a riding lawn mower in 2 hours. Sandy can cut the yard with a push mower in 5 hours. How long would it take to cut the yard if John and Sandy work together? (Express in hours and minutes)
Answer:
2x/5x= 7
Step-by-step explanation:
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
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Answer:
Hey there!
A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.
Hope this helps :)
Answer:
no
Step-by-step explanation:
Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.
Answer:
Option A -- 0.46
Step-by-step explanation:
The answer is the x-coordinate of the point of intersection, which is 0.46
The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.
How to solve the equation?From the information given, the equation is given as log(6x + 10) = log 1/2x
In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.
By using graphing, it can be deduced that one will draw both graph on the same coordinate place.
From the graph, y1 and y2 simply intersect at point (0.46,1.12)
Therefore, the curve intersect at approximately x=0.46.
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The company calculates that 500 g of titanium dioxide should produce 1.2 kg of titanium chloride. However, the company finds that 500 g of titanium dioxide only produces 900 g of titanium chloride. Calculate the percentage yield.
Answer:
75%
Step-by-step explanation:
Percent yield = experimental yield / theoretical yield * 100
= 900 / 1200 * 100 (remember that 1,000 g = 1 kg)
= 75
Factored completely, the expression 2y^2 + 12y-54 is equivalent to
a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)
Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.
Answer:
190 cards
Step-by-step explanation:
Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:
2 + 3 + 7 = 12
If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:
152 * 3 = 456 cards
Elle's share is therefore:
2 / 12 * 456 = 76 cards
Mandy's share is:
7 / 12 * 456 = 266 cards
Therefore, the number of cards that Many received more than Elle is:
266 - 76 = 190 cards
What is the answer to 15a + 9 =
Answer:
[tex]a=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]
Answer:
Step-by-step explanation:
Use distributive property
15a + 9 = 3*5*a + 3*3
= 3 (5a + 3)
PLEASE HELP!! 85 POINTS!!
Answer:
20
Step-by-step explanation:
Angle EAC and angle GCJ are corresponding angles.
So angle EAC is equal to 70 degrees.
Angle KAE is a right angle, so it is 90 degrees.
Angles on a line add up to 180 degrees.
x + 90 + 70 = 180
x = 180 - 160
x = 20
Answer:
The measurement of ∠x is 20°
Step-by-step explanation:
From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.
So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.
We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.
So, now we can find x. Set up equation.
70 + x + 90 = 180
Add 70 to 90.
x + 160 = 180
Subtract 160 on both sides.
x = 20
So, the value of x is 20°
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
1) Expand the following expressions
(a) 2(x + 6)
Answer:
2x + (2 × 6)
since we are expanding, we represent 2 multiplying to every expression in the given parentheses
Answer:
2x+12
Step-by-step explanation:
2(x + 6)
Distribute
2*x + 2*6
2x+12
For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. HELP ASAP THANKS!!
What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2
We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.
The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.
Which number is a perfect cube?
O9
O 18
0 27
O 36
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Answer:
27
Step-by-step explanation:
We want a number time itself times itself
27 = 3*3*3
27 = 3^3