Answer:
coffee is £1.80 per cup and tea is £1.40 per cup
Step by Step:
The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup
Got, some harder questions to do.
Thanks,
Xx
3
50%
Draw angle ABC of size 65º.
A-
B
X+
65* It is drawn with a round ruller...
What is the magnitude and direction of the PQ with tail and head points P(-6, 0) and Q(2, 4)?
8.9 units, 63.4° north of east
8.9 units, 26.6° north of east
13.4 units, 180° west
13.4 units, 0° east
Answer:
What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.
hope this helps
The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.
What is a vector?A vector is a quantity in which direction and magnitude both matters called a vector.
A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]
The magnitude of this vector will be
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The direction of this vector will be
[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]
Given P(-6,0) and Q(2,4) so vector joining by
[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex] + [4-0][tex]\vec{j}[/tex]
[tex]\vec{PQ}[/tex] = 8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]
now, the magnitude [tex]\vec{PQ}[/tex] will be
⇒ [tex]\sqrt{(8^2+4^2)}[/tex]
⇒ 8.944
The direction of the vector [tex]\vec{PQ}[/tex] will be
⇒ [tex]\tan^{-1}(\frac{4}{8})[/tex]
⇒26.57°
So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.
For more information about vector
https://brainly.com/question/13322477
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Find the percent rate of change for each
function and tell whether it shows
exponential growth or decay.
a) y = 110(.95)
b) y = 1.08(1.07)
plz help!!
Answer:
Step-by-step explanation:
a) f(t) = 110(0.95)^t
0.95<1, so the function shows 5% decay
b) f(t) = 1.08(1.07)^t
1.07 > 1, so the function shows 7% growth
PLEASE HELP WILL GIVE BRAINLIEST
Answer: The answer is B.
Step-by-step explanation: This is because the x-axis is days, and the y-axis is pounds. The option B states that Winnie eats 5 pounds of dog food in 2 days, while actually the dog eats 2 pounds of dog food in 5 days.
Answer:
Its B!
Step-by-step explanation:
The X axis represents days and the Y axis represents pounds! 5 is the X axis and 2 is the Y axis! So to make the sentence true, it would be (2,5).
Hope this helps, and don't forget to follow!
2. Give the degree of x2 - 17x + 2x - 5.00
Answer:
2
Step-by-step explanation:
Degree is the highest power of a term
I hope im right!
Answer:
2
Step-by-step explanation:
hello :
the degree of x2 - 17x + 2x - 5.00 is : 2
Can anyone relate? Lyke, its sooooo true
Answer:
Same
Step-by-step explanation:
What is the sum of 4 and its additive inverse?

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.
Given the number 4.
The sign of the number 4 is positive.
An additive inverse is a number whose sign is opposite to the number.
For example, the additive inverse of -5 is 5, and 5 is -5.
So additive inverse of 4 will be -4.
Now sum of 4 and -4
4 + (-4) = 0
Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".
For more information about summation
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I have a question True or False
The slope of the line y=3x is 3
Answer:
TRUE
Step-by-step explanation:
I HOPE IT'S HELP .............
Two angles that can be trisected with a straightedge and compass are
and ____ angles .
O A. 90°; 30°
B. 75°, 90°
C. 60°: 45°
D. 90°: 45°
Pls help ASAP
90°, 45°
Step-by-step explanation:
Two angles that can be trisected with a straightedge and compass are 90° and 45° angles
m∠R=140 and m∠S=100. Find the m∠T. The diagram is not on the scale.
Answer:
m<T = 20°
Step-by-step explanation:
m<R = 140°
m<S = 100°
The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:
m<S = m<U = 100°
Sum of all interior angles of a quadrilateral = 360°
Therefore:
m<T = 360° - (m<S + m<U + m<R)
m<T = 360° - (100° + 100° + 140°) (substitution)
m<T = 20°
Explain Combined Mean.
Answer:
A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).
Answer: A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).
Step-by-step explanation:
3 tane 4'ün çarpımı, 5 tane 2'nin çarpı-
mindan kaç büyüktür?
A) 28
B) 30
C) 32
D) 34
Ms. Vega read 20% of the Star Wars book. She read 8 pages of the book.
8. Enter the number of pages in the Star Wars book.
Answer: 40 pages in total
Step-by-step explanation:
Ms. Vega has read 20% of the book and this translates to 8 pages of the book.
20% = 8 pages
Assume the total number of pages is x:
20% * x = 8
0.2x = 8
x = 8 / 0.2
x = 40 pages in total
Answer:
40 pages in book
Step-by-step explanation:
8 pages read
8/40 = .20
Help pls, answer choices listed!
Answer:
C
Step-by-step explanation:
Brainliest please
What’s the answer to this please? Thank u!
Answer:
I think the answer is C.
Step-by-step explanation:
Have a good day ;-).
Samantha correctly answered 36 out of 48 questions on a test. She must score 70% or greater to pass the test. Did she pass?
Answer:
Yes
Step-by-step explanation:
You see that you need a percentage. You are given the amount that she got wrong, assuming the questions are weighted the same, you divide 36 by 48. This gives you .75. Then you multiply .75 by 100% giving you 75%.
Every year, the value of a car decreases by 15% of its value in the previous year. If the value of the car was $86,700 in 2012, find its value in 2010.
Answer:
$112,710
Step-by-step explanation:
so first we have to find what is 15% of 86700
so 15/100×86700=$13005
so it is written that 86700 is in 2012 means 2010 it will be
2 times more which means 30% that means just have to do is multiply it two times which makes it $26010
so $86700+$26010=$112710
hope it helps you
please mark me as brainlist
Which expression equals (7y) ?
Р 7yi
Ту:
1
73 уз
1
0
73 уз
Answer:
??????????
Step-by-step explanation:
???????????
what is this
PLS HURRY WILL GIVE BRAINLIEST
Answer:
C. y= 6x-5
Step-by-step explanation:
Given Information :
Slope (m) = 6
y-intercept (b) = -5
Equation of a line :
y=mx+b
Where :
m = slope
b = y-intercept
So , with the given the information , the equation is :
[tex]y = 6x - 5[/tex]
Which is the better deal?
6 cans of soda for $3.60
4 cans of soda for $2.36
10 cans of soda for $5.50
Answer:
The better deal is 10 cans of soda for $5.50
Step-by-step explanation:
6 cans of soda for $3.60 means each can of soda is worth .60 cents4 cans of soda for $2.36 means each can of soda is worth .59 cents 10 cans of soda for $5.50 means each can of soda is worth .55 centsTherefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.
Hope this helped!
Answer:
10 cans for $5.50
Step-by-step explanation:
3.60/6= $0.60 per can
2.36/4= $0.59 per can
5.50/10= $0.55 per can
What number represents the same amount of 2 hundreds, 14 tens, and 3 ones.
Answer:
i think the answer would be 343?
Step-by-step explanation:
Find the Total Surface Area of the following Triangular Prism’s NET……
Answer:
170 cm^2.
Step-by-step explanation:
This consists of 3 rectangles of same area and 2 triangles of the same area.
= 3 * 10 * 5 + 2 * 1/2 * 5 * 4
= 150 + 20
= 170 cm^2.
|-41 "What is the absolute value of -4?" |-4 =
Answer:
the absolute value is always the same number positive so the answer would just be 4
Step-by-step explanation:
Can someone please help with these i only need the odd number questions
Answer:
1) x = 12.2
3) x = 21.7
5) x = 17.9
7) x = 31.8
Step-by-step explanation:
Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)
1) 10^2 + 7^2 = x^2
100 + 49 = x^2
149 = x^2
x = sqrt 149 which is about 12.2
3) 16^2 + x^2 = 27^2
256 + x^2 = 729
x^2 = 473
x = sqrt 473 which is about 21.7
5) 9^2 + x^2 = 20^2
(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)
81 + x^2 = 400
x = sqrt 319 which is about 17.9
7) 16^2 + y^2 = 22^2 (y is the height of the triangle)
256 + y^2 = 484
x = sqrt 228
(sqrt 228)^2 + (44-16)^2 = x^2
228 + 784 = x^2
x^2 = sqrt 1012 which is about 31.8
plz help and show how you did the math question
Answer:
[tex]x = - 3[/tex]
[tex]y = - 2[/tex]
Step-by-step explanation:
Since y=x+1 plug it into bottom equation as y.
[tex]x + 1= 5x + 13[/tex]
Subtract 1 from both sides
[tex]x = 5x + 12[/tex]
Subtract 5x from both sides
[tex] - 4x = 12[/tex]
Divide both sides by -4
[tex]x = - 3[/tex]
Now x=-3 into the top equation to find y
[tex] - 3 + 1 = - 2[/tex]
y=-2
im horrible with triangles
Answer:
6 a - 13 b - 21 c - 13 d - 29 e -29 f - 122
y=15 and x=3
Step-by-step explanation:
Consider the equation: 3+x=x^2+3x
NEED HELP ASAP!!!!!
Answer:
x = 1 and x = -3
Step-by-step explanation:
We need to solve the given equation.
[tex]3+x=x^2+3x[/tex]
Taking all terms together,
[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]
So, the solution of the above equation is x = 1 and x = -3.
Answer:
[tex]4=(x+1)^{2}[/tex]
x= -1 ±2
Khan Academy
i need some help on this, thanks!
Answer: C: 9.6
Step-by-step explanation:
9.6-3.4=6.2
Answer:
C. 9.6
Step-by-step explanation:
n - 3.4 = 6.2
n = 6.2 + 3.4
n = 9.6
two numbers have the ratio of 4:7 if their sum is 143 what are the numbers?
1.kind of proportion
2.write the proportion
3.first number answer
4second number answer
help me plss!
Answer:
52:91
Step-by-step explanation:
To find a ratio value you need to think of it more as two numerators that together equal one whole. 4+7 is 11 so that would be the denominator. If the sum is 143, then we divide by 11 since one number is 4/11s of 143, and the other is 7/11s of 143. 143/11=13
now we multiply both:
4(13)=52
7(13)=91
Check:
91+52=143
52/91 simplifies to 4/7 or 4:7
i hope this helps!