Answer:
Shop A = 113 pence
Shop B = 101 pence
Step-by-step explanation:
Given :
Shop A :
5kg for £5.65
Shop B:
2kg for £2.02
Price per kg :
weight / price
100 pence = £1
Shop A :
Price of 1kg :
5.65 / 5 = £1.13 = 113 pence
Shop B:
2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.
A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1 2 inches would be needed to fill the gift box?
Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17
Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11
Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5
Number of 1/2-inch cubes = 17 x 11 x 5 = 935
------------------------------------------------------------
Answer: 935 1/2-inch cubes are needed.
------------------------------------------------------------
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +
Assist me, it’s a word problem, are their any smart people? NO LINKS OR I WILL REPORT
Answer:
vertex: (-2,7)
Focus: (-2, [tex]\frac{27}{4}[/tex])
Axis of symmetry: x = -2
Directrix: y = [tex]\frac{29}{4}[/tex]
Step-by-step explanation:
Which line segment is a reflection of AB in the x-axis?
I say that the answer is E,F
Consider this right triangle determine whether each equation is correct. Select yes or no for each equation
Answer:
where is the question?
Step-by-step explanation:
I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"
Help me please! I need to get this done to go outside :(
Answer:
98ft.
Step-by-step explanation:
Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.
CAN SOMEONE PLEASE HELP ME I REALLY NEED HELP I HAVE TWO MINUTES LEFT!!
Answer:
d is the ans
Step-by-step explanation:
D is the answer
How many ounces are in 1 pint?
The average customer at Longhorn Steakhouse spends $26.00 per meal with a
margin of error of 10%. How is the maximum it would cost you if you pay for you
and your date?
$72.00
$57.20
$64.60
$28.60
Place the numbers 40 and 100 into the proportion. (Whole)(percents) ----------- (Part) what goes where?
Answer:
Step-by-step explanation:
Hard to tell how the question should read.
40/100 = 40%
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Proportion means writing in fraction form as numerator and denominator.
40/100 = 40%
The proportion of 40 and 100 is 40%.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have.
40 and 100.
Proportion means writing in fraction form as numerator and denominator.
So,
If we write 40/100 we get 40%.
This means 40 out of 100.
Thus,
40/100 = 40%
The proportion of 40 and 100 is 40%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
CONGRUENT FIGURES
EACH SET OF SHAPES ARE CONGRUENT. FOR CACH SIDE OR
ANGLE LISTED BELOW CACH BLANK. WRITE THE
CORRESPONDING SIDE OR ANGLE TO CREATE YOUR CODE. Plz for the love of God help me this is so so over due
Answer:
p-o
u-t
e-l
s-d
r-w
b-z
a-n
Step-by-step explanation:
Which of the following statements are represented by
the correct ratio? Select all that apply.
Choose all that apply:
"There are 4 hamburgers sold for every 3 cheeseburgers sold
in the cafeteria." The ratio of hamburgers sold to
cheeseburgers sold is 4:3.
"There are 20 passing scores for every 25 math tests graded.
The ratio of passing scores to tests graded is 4:5.
"There are 12 pairs of shoes for every 14 pairs of pants in the
clothing store." The ratio of pairs of shoes to pairs of pants is
6.8.
"There are 8 goldfish in the pet store for every 3 guinea pigs."
The ratio of goldfish to guinea pigs is 3.8.
As razões que se aplicam são as seguintes:
“São 4 hambúrgueres
vendidos para cada 3 cheeseburgers vendidos na cafeteria." A proporção de
hambúrgueres vendidos para cheeseburgers vendidos é de 4:3.
"Há 20 notas de aprovação para cada 25 testes de matemática classificados.
A proporção de escores de aprovação para testes classificados é de 4:5."
Please help and also include an explanation so I know how you got the answer.
Answer:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
Answer:
x=15
Step-by-step explanation:
I gotcha bro
The line C is straight and straight lines are 180°
so 180° = 4x + 8x = 12x ----> 180 = 12x ---> then divide both sides by 12
180/12 = 15 and 12x/12 = x
so 15 = x or x = 15
please tell me the answers
1.football = 45/150 = 0.3
2. Tennis= 18/150 = 0.12
3.gymnastics= 12/150 = 0.08
4. Volleyball= 9/150 = 0.06
5. 3/10 x 30 = 9
What is the ratio for sin A?
3/4
3/5
4/5
4/3
find the measurement indicated in the parallelogram
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
please answer fast! calculate the value of x. C is center of the circle. (attached image)
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?
there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.
¿Como resuelvo esta equación? Necesito ayuda.
2x·(1-x)= x-6
Answer:
x=-3/2 x=2
Step-by-step explanation:
2x(1-x)=x-6
2x-2x^2=x-6
subtract x from both sides
add 6 to both sides
x-2x^2+6=0
reorganize
-2x^2+x+6=0
factor
2x+3=0
x-2=0
solve both
2x+3=0
2x=-3
x=-3/2
now the other one
x-2=0
x=2
Sorry, I don't speak spanish.
Si tuvieras que formar un cuadrado de 196 baldosas cuadradas iguales, ¿Cuantas deberías poner en cada fila?
Answer:
Respuesta. entonces como respuesta deben colocarse 14 filas por 14 columnas de baldosas para que quede un cuadrado. SALUDOS!
Huilan's age is two times Thomas's age. The sum of their ages is 21 . What is Thomas's age?
Answer:
Thomas age is 7
Step-by-step explanation:
X + 2x =21
3x=21
x=7
Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.
Answer:
1080 minutes
Step-by-step explanation:
12x45: garys team
45x2=90 : hector's team
12x90=1080
What is the area of triangle ABC in the simplest terms?
Find the length of the missing side.
a= in
b= in
c= in
80
Step-by-step explanation:
you take the square root of 82 squared minus 18 squared
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
A survey of 100 high school students provided this frequency table on how to show students to get to school
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
Answer:
2/5
Step-by-step explanation:
HELPPPPP PLZ ITS 6TH GRADE MATH
20b−2b+3b+x
Answer:
21b+x
Step-by-step explanation:
Answer:21b+x
Step-by-step explanation:
i got u
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.