I might get this wrong but 60 minus 45 equals 1515
Step-by-step explanation:
The family pack would be £15 cheaper from the normal package.
What is a system of equations?In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
Given that, A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children.
Let A represents adults and C represents children,
Establishing system of equation,
2A+3C = 72
3A+C = 66
On solving the equation, we get,
A = 18 and C = 12
For 2 adults, cost = 18x2 = £36
For 2 children, cost = 12x2 = £24
Total cost = 36+24 = £60
In family pack, £45 allows entry for 2 adults and 2 children.
45 is 15 less 60
Hence, The family pack would be £15 cheaper from the normal package.
For more references on system of equations, click;
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one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)
Step-by-step explanation:
Let x be the other leg or the base and the first leg is y or the perpendicular. ATQ,
One leg of a right triangle is twice as long as the other leg,
y = 2x
Hypotenuse, H = 5 cm
For a right angled triangle, using Pythagoras theorem,
[tex]H^2=B^2+P^2[/tex]
Putting all the values,
[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]
Other leg,
[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]
Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]
Vote red saw him vent
Answer:
vote red and saw him vent
Step-by-step explanation:
????
A bowl of punch is made by mixing 3 parts juice
to 1 part soda. Which of the following statements
about the punch is not true?
A. Soda makes up of the punch.
B. Juice makes up of the punch.
C. The amount of soda in the punch is the
amount of juice in the punch.
D. The amount of juice in the punch is 3 times the
amount of soda in the punch.
Answer:
The correct answer is D.
we're dividing by 4 ÷0.96
Answer: 4 ÷ 0.96 = 4.16666666667
Step-by-step explanation:
Answer:
[tex]4.166[/tex]
[tex]rounded[/tex] [tex]to[/tex] [tex]3[/tex] [tex]places[/tex] [tex]also[/tex] [tex]known[/tex] [tex]as[/tex] [tex]thousandths[/tex][tex].[/tex]
Help ASAP with find slope of line
Hi!
The equation of the line is written in slope-intercept form (y=mx+b) where m stands for the slope.
In order to find the slope of the given line, let's just take a look at our equation.
Hint: what is the coefficient of x?
That's right, 5/4
Hence, the answer is
[tex]\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please feel free to ask.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}}[/tex]
Answer:
a.5/4
Step-by-step explanation:
y equals mx plus c, where m is the gradient(slope of line) & c is the constant
∴y equals (5/4)x-5,where 5/4 represents the "m" & -5 is the constant.
Therefore,5/4 is "m" which is the slope(gradient).
Can You Solve It?
Which Division Problem Is Represented In Model Shown In PNG
1 Over 6÷2
1 Over 5÷2
1 Over 5÷6
1 Over 2÷5
Answer: 1 1/4
Step-by-step explanation:
1) A number is drawn at random from the set (1, 2, 3, 4, and 5) and a letter is drawn at random from the word COBRA. How many possible outcomes are there for this experiment? Find the probability that
Answer:
Step-by-step explanation:
There are 5 numbers. You are going to draw 1 number.
There are 5 letters -- all different. You are going to draw 1 of them
The number of outcomes = 5 * 5 = 25
may u please help me
Answer:
swap r with a and you have your answer
r = v^2/a
Help my math teacher created thistest and I don’t know how to do any of this
Answer:
B
Step-by-step explanation:
If you’re looking for the intersection it’s B.
At Treetop Middle School, 60% of the students are BOYS. If there are 2400 students, how many students are GIRLS? {Please help a sista out :0}
Answer:
1440 girls
Step-by-step explanation:
What is theSquare root of 4
Need help again! Thanks in advance.
Answer:
5. [tex]\displaystyle 0[/tex]
4. [tex]\displaystyle 5[/tex]
3. [tex]\displaystyle \frac{1}{1000000000}[/tex]
2. [tex]\displaystyle 1[/tex]
1. [tex]\displaystyle \frac{1}{7}[/tex]
Step-by-step explanations:
4. [tex]\displaystyle \boxed{5} = 5[xy]^0[/tex]
3. [tex]\displaystyle \boxed{\frac{1}{1000000000}} = 10^{-9}[/tex]
2. [tex]\displaystyle \boxed{1} = [14abc]^0[/tex]
1. [tex]\displaystyle \boxed{\frac{1}{7}} = 7^{-1}[/tex]
For exercises four and two, any exponent set to zero will automatically be one, but PAY CLOCE ATTENTION to which part of the expression is being associated.
For exercise three, multiply ten nine times [one billion], then take the multiplicative inverce of it [negative exponent].
For exercise one, you simply take the multiplicative inverce of the whole number provided.
Exercise five is self-explanatory, so you should know what occurs there.
I am joyous to assist you at any time.
The expression of the given indices into non-zero and non-negative exponents are [tex]\mathbf{7^{-1} = \dfrac{1}{7}}[/tex]. See below for the remaining solution.
What are exponents?Exponents are numbers written as a power of a given number called (base). So, if we have [tex]\mathbf{a^b}[/tex], a is the base and b is the exponent.
The expression of the given indices into non zero and non-negative exponents is as follows:
[tex]\mathbf{7^{-1} = \dfrac{1}{7}}[/tex][tex]\mathbf{(14abc)^0 = 1}[/tex] In indices, any value raised to the power of zero is 1[tex]\mathbf{10^{-9} = \dfrac{1}{1000000000}}[/tex][tex]\mathbf{5(xy)^0 = 5 \times 1 = 5}[/tex][tex]\mathbf{0^{15} = 0}[/tex]Learn more about exponents here:
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Constance wrote a total of 10 pages over 5 hours.
How many hours will Constance have to spend writing this week in order to have written a total of 20 pages?
Step-by-step explanation:
10 pages in 5 hours.
our focus is on pages (how long for 20 pages).
so, if we don't see the ratio right away, let's norm the original relationship to 1 page :
10 pages in 5 hours
so,
1 page in 5/10 = 0.5 hours = 1/2 hours
and now : how long for 20 pages ?
1 × 20 pages in 1/2 × 20 hours
20 pages in 10 hours.
formally, we are dealing with a ratio, which is a fraction :
10 pages in 5 hours = 10/5
to keep the value of the fraction, in order to change one of the 2 values to a target value (like 10 pages to 20 pages in our case), we need to multiply the other with the same factor :
10/5 × 2/2 = 20/10
so, again, this tells us 20 pages in 10 hours.
Which property gives plasma a high electrical conductivity?
O A.
low density of particles
B. repeating crystal structure
Ос.
diverse chemical composition
D. presence of charged particles
Answer:
D. Presence of charged particles
Step-by-step explanation:
Plasma consists of a medium of gas that has about the same amount of particles that are positively and negatively charged formed due to the ionization of the gaseous atoms forming ions that have ejected some orbital electrons as well as electrons that move in the same manner as gaseous particles within the medium.
Which value for y makes the equation y - 2.5 = 1.95 true? A. y = 0.78 B. y = 4.875 c. y = 48.75 D. y = 4,875
Answer: B is the answer
Step-by-step explanation:
16=-2p-18 what does p =
If 17 million containers each 6 m long were placed
end to end, would they reach to the Moon?
Answer:
No
Step-by-step explanation:
17 million containers each of 6m length.
The total length of all containers when placed linearly = 17×10^6 × 6 = 102 × 10^6 m
= 102 × 10^3 km
= 102000 km < 380000km
They won't reach the Moooon.
Solve this inequality 4n+3<6n8-2n
Answer:
I'm sorry but 6n8 are those together?
I need help with this question
Find the area
17m
8m
15n
Answer:
[tex]60 \ \text{m}^{2}[/tex]
Step-by-step explanation:
We are given the base, which is 15 meters. When we increase the base, we will obtain the height, which is 8 meters. Now, let's substitute the base and the height in the formula to find the area of the triangle.
[tex]\rightarrow \dfrac{1}{2} \times 15 \times 8[/tex]
[tex]\rightarrow 15 \times 4[/tex]
[tex]\rightarrow 60 \ \text{m}^{2}[/tex]
Thus, the area of the triangle is [tex]\bold{60 \ \text{m}^{2}}[/tex].
When Jocelyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 2 seconds. Using the empirical rule, what percentage of races will her finishing time be between 57 and 65 seconds?
Answer:
95% of races will her finishing time be between 57 and 65 seconds.
Step-by-step explanation:
Mean=61 seconds
Standard deviation =2
Empirical rule says,
68% of data covered between mean±1 standard deviation
95% of data covered between mean ±2 standard deviation
99.7% of data covered between mean ± 3 standard deviation.
I'll upload the Empirical rule curve.
Because 57 is 61-2(2) and 65 is 61+2(2), so, 95% of data covered.
So, according to Empirical rule, 95% of races will her finishing time.
Omar is preparing the soil in his garden for planting squash.
Answer:
Step-by-step explanation:
the question is incomplete :(
Solve each equation by factoring.
1) a^2- 9a + 14 = 0
please help me with this???
Answer:
50.24
explanation
The diameter of the circle is the length of the square which is =16
using the furmla π r = 3.14×16= 50.24
Evan correctly divides 1.35 by a power of 10 to get 0.00000135. What power of 10 does Evan divide by? Explain how you now
Answer:
[tex]10^{6}[/tex] 1000000
Step-by-step explanation:
that was the correct answer for me but also, You need to move the decimal point of how many zeros there are and the number is 1.35 if you take from where the decimal point is originally and count how many spaces? there is in between each zero it would be 6. :) Btw sorry this is like late 4 weeks ago but hope i helped.
x to the 2nd power =64
Answer:
8
Step-by-step explanation:
8 *8=64
Answer:
X=8
Step-by-step explanation:
1. Just find the square root of 64, it is 8
2. why? because finding the square root is the opposite of using the 2nd power.
3. you got the answer, it is 8
you can confirm it by using the 2nd power on 8
You have calculated that a serving of cake is about 50 cubic inches in size. If a customer comes in and wants to buy a cake that serves 10-12 people, which cake mold would you recommend that they purchase?
The cake mold I would recommend to a customer that wants to buy a cake that serves 10-12 people is the 600 cubic inches size.
What does multiplication mean?
Multiplication is the process of determining the product of a set of numbers by carrying out a specialised mathematical operation. The sign that denotes multiplication is x.
Which cake mold should be bought?The cake mold to be bought can be determined by multiplying the mold per serving by the maximum number of people the customer wants to serve.
12 x 50 = 600
To learn more about multiplication, please check: https://brainly.com/question/3385014
Determine which of the following are the solutions to the equation below.
x2 =
= 13
help help help please?
Answer:
$750.00
Step-by-step explanation:
The graph seems like you are multiplying hours worked by 15 to get Money Earned so 15 x 50= $750
The product of (5+3√2) (5-3√2) is
Answer:
7
Step-by-step explanation:
First use the (a-b) and (a+b) = a^2 - b^2 which is equal to 25 - 9 x 2
then you multiply 9 x 2 which is 18 so 25 - 18 thus 7. The trick is to remember the rules.