Answer:
£8279.27
Step-by-step explanation:
The given relationship is ...
(original price) × (1 - 18%) = £6789
Dividing by the coefficient of the original price, we find it to be ...
original price = £6789/0.82 = £8279.27
The original price of the car was £8279.27.
A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made
Answer:
You can make 6 servings
Step-by-step explanation:
Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
sum the parts of the ratio, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
What’s the slope or fraction?
I will give brainiest if you answer it and give a explanation.
Answer:
x = 35
Step-by-step explanation:
The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...
angle DPE = angle BPA . . . . vertical angles have the same measure
125° = 90° +x°
35 = x . . . . . . . . . . divide by °, subtract 90
Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m
Is there anymore words?
Answer:
I'm not answering but i can help you :)
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°.
The two angles of a linear pair, like ∠1 and ∠2 in the figure below, are always supplementary.
But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180°.
Example 1:
Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.
Let the measure of one of the supplementary angles be a .
Measure of the other angle is 2 times a.
So, measure of the other angle is 2a.
If the sum of the measures of two angles is 180°, then the angles are supplementary.
So, a+2a=180°
Simplify.
3a=180°
To isolate a, divide both sides of the equation by 3.
3a3=180°3 a=60°
The measure of the second angle is,
2a=2×60° =120°
So, the measures of the two supplementary angles are 60° and 120°.
Example 2:
Find m∠P and m∠Q if ∠P and ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.
The sum of the measures of two supplementary angles is 180°.
So, m∠P+m∠Q=180°
Substitute 2x+15 for m∠P and 5x−38 for m∠Q.
2x+15+5x−38=180°
Combine the like terms. We get:
7x−23=180°
Add 23 to both sides. We get:
7x=203°
Divide both sides by 7.
7x7=203°7
Simplify.
x=29°
To find m∠P, substitute 29 for x in 2x+15.
2(29)+15=58+15
Simplify.
58+15=73
So, m∠P=73°.
To find m∠Q, substitute 29 for x in 5x−38.
5(29)−38=145−38
Simplify.
145−38=107
So, m∠Q=107°.
I need the answer FAST
Answer:
x = -9, 4
Step-by-step explanation:
The sides are marked congruent, so you have ...
x^2 +5x = 36
Subtracting 36 puts this in standard form:
x^2 +5x -36 = 0
To factor this, you need to find factors of -36 that have a sum of 5.
-36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)
The sums of these factor pairs are 35, 16, 9, 5, 0.
The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...
(x -4)(x +9) = 0
The solutions are the values of x that make the factors zero:
x = 4, x = -9
Both of these solutions work in this problem.
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
The equation that is used to represent (s) the total sales is s = (w - rh)/c
An equations is used to show the relationship between two or more variables.
Given the equation:
cs + rh = w
To solve for s, we have to make s the subject of the equation:
cs + rh = w
subtract rh from both sides:
cs + rh - rh = w - rh
cs = w - rh
Divide both sides by c:
cs/c = (w - rh)/c
s = (w - rh)/c
The equation that is used to represent (s) the total sales is s = (w - rh)/c
Find out more at: https://brainly.com/question/24169758
PLEASE HELP AD EXPLAIN WELL!
Answer:
y intercept is (0, -4)
equation is y = x - 4
Step-by-step explanation:
The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)
The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.
The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.
So the slope is 4/4 = 1.
The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.
The equation is slope times x plus y intercept value.
So putting this all together gives you an equation of
y = 1·x + -4
a.k.a.
y = x-4
SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?
Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths
Answer:
It's the first one. Why?
I converted all the mixed fraction into simplified form.
3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] + [tex]\frac{5}{7}[/tex]
I divided the denominator of 11/3 by 42. 42/3=14
and 5/7. 42/7, which is 6.
So I concluded the first answer was right because it didn't work out for the other variables.
I hope the answer was right, and I hope you have a great day luv. Bye!
Solve the inequality:
1 ≤ a/4 - 1
Answer:
a is greater or equal to 4
Step-by-step explanation:
Find the perimeter. Simplify your answer.
A string of length if meter is cut into 6 equal pieces. What is the
total length of 2 of the pieces? You need to simplify.
Answer:
1/3
Step-by-step explanation:
2/6=1/3
I WILL GIVE BRAINLIEST!! PLS HELP
A manager that owns 3 local area car maintenance garages was researching certifications of mechanics that worked for her company. consider the following Venn Diagram.
1.How many mechanics work for her company
2.How many are certified to do work on brakes
3.How many are certified by ASE to do work on brakes **and** tune-ups?
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Could someone help me figure this out?
Answer:
The area of a rectangle is the length multiplied by its breadth.
Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:
[tex]3(n-1)*n+2=54[/tex]
[tex]3n(n-1)+2=54[/tex]
Expand:
[tex](3n*n)-(3n*1)+2=54[/tex]
[tex]3n^2-3n+2=54[/tex]
Subtract both sides by 54:
[tex]3n^2-3n+2-54=54-54[/tex]
[tex]3n^2-3n-52=0[/tex]
9. Allen and his two brothers decide to purchase a video game system together. They determine
that each person will need to pay $32.30. How much is the cost of the video game system?
I need a variable, equation, and the solution. Pls help!!!
Step-by-step explanation:
that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?
you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?
and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.
let's make it super formal :
price p = Allen contribution a + brother1 contribution b + brother2 contribution c
p = a + b + c
a = b = c = $32.30
p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90
Write two algebraic expressions that have -10m as one of the terms in their product.
Step-by-step explanation:
Given,
The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.
Solution,
Consider the the numbers are a, b.
a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12
Brainliest please if correct
the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
Pls help me solve this
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?
Answer:
11,536.89733 (rounded to 11,536.90)
Step-by-step explanation:
10,000(1+0.1)^1.5
P(1+r)^t
P=Principal
r=rate
t=time(in years)
Answer number eight please
Answer:
Obtuse triangleStep-by-step explanation:
#8If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.
It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
it's rise/run 3/2
Step-by-step explanation:
you rise positive 3 and run 2
b) Given that tan e = 3/4, calculate
i) the length of QR
ii) the value of cos 0
6cm
P
Q
R
Answer:
0+_+0
Step-by-step explanation:Need help will give five starst and a thanks and MAYBE just MAYBE a brainleist.
Explain how to use the GCF and the distributive property to rewrite and solve subtraction problems.
Answer:
here u go
Step-by-step explanation:
candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.
How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
The mean number of red (1.75) is 0.5 less than the mean number of purple.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.
Jenny randomly opened 12 of the fun-size packs of candies from a bag.
The mean number of reds will be
[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]
The mean number of purples will be
[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]
The mean number of red (1.75) is 0.5 less than the mean number of purple.
More about the mean link is given below.
https://brainly.com/question/521501
Please help I’ll mark u as brilliant
Answer:
-2,3
Step-by-step explanation:
So that is the highest point marked on the graph.