20 onions cost £3.00. 25 potatoes cost £6.25. Mr Dean needs 14 onions and 16 potatoes. Calculate the total cost.
Answer:
The total cost of 14 onions and 16 potatoes will be £6.10
Step-by-step explanation:
Let onion be n and potato by p
20n = £3.00
1n = £3.00/20
= £0.15
25p = £6.25
1p = £6.25/25
= £0.25
The cost of 1 onion is £0.15, and 1 potato is £0.25
Then the cost of 14 onion and 16 potatoes together will given as
14n + 16p
substituting the values of n and p, we will have
14*0.15 + 16*0.25
2.1 + 4
= £6.10
What is the volume of a triangular pyramid that is 4ft tall and has a base area of 3 square ft?
Answer:
4 ft cubed.
Step-by-step explanation:
Hope this helps!
volume of a pyramid is 1/3 times b (area of your base) times the height of your prism. 4 times 3 is 12 times 1/3 is 4.
Nearest dollar to $624.52 ?
Answer:
$625
Explanation:
The tenth place is 5.
when you round, less than five and the number stays the same, five or more and it raises one
If f(x)=x² + 1, find f(a + 1).
Answer:
f(a + 1) = (a + 1)² + 1 = a² + 2a + 2
HELLLP PLEASE !!!! ASAP
Darah has 200 milliliters of a salt and water solution that is 12% salt. She begins to add a salt and water solution
that is 5% salt to the 12% solution. The percent of salt in Darah's combined solution when x milliliters of the 5%
solution have been added can be modeled by Cwx) =
2,400 + 5x
200 + x
Two different tables of values for C(x) are given below. Use the tables to answer the questions that follow.
CO)
10.6
50
100
150
200
COX)
500 7.0
1.000 6.17
5,000 5.27
10,000 5.14
50,000 5,03
100,000 5.01
1,000,000 5.001
8.11
350
400
450
500
7.55
733
7.15
70
Part A: 2 points
Is this function increasing or decreasing? What does this mean in the context of the problem?
Part B: 2 points
What is the horizontal asymptote of the function? Interpret the meaning of the asymptote in
the context of the problem.
Answer:
A) decreasing. Salt concentration is being reduced.
B) 5%. The more 5% solution that is added, the closer the mixture becomes to 5%.
Step-by-step explanation:
A) Increasing values of x result in decreasing values of C(x), so the function is decreasing.
This means that when a lower concentration of salt solution is added to one of higher concentration, the result is a decrease in the concentration of salt in the mixture.
__
B) As x gets very large, C(x) approaches 5. The horizontal asymptote is C=5.
In the context of the problem, it means that as the solution contains more and more 5% brine, the concentration of salt in the mix approaches 5%.
Enter the next 3 terms from the geometric sequence below.
−
2
,
1
,
−
1
2
,
.
.
.
Answer:
1/4, -1/8, and 1/16
Step-by-step explanation:
Geometric sequence: -2, 1, -1/2, ....
Geometric sequence means there is a common ratio.
so from -2 , the next term is -2*r , and the next term is -2*r*r
-2r = 1, means r = -1/2
then next after -1/2, is 1/4,
and then... -1/8, and then 1/16
In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. The next three terms in the sequence are 1/4, -1/8, and 1/16.
Explanation:In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. In this sequence, the common ratio can be found by dividing each term by its previous term.
-2 ÷ 1 = -2
1 ÷ -2 = -1/2
The next three terms in the sequence can then be found by multiplying each term by the common ratio.
-1/2 × (-1/2) = 1/4
1/4 × (-1/2) = -1/8
-1/8 × (-1/2) = 1/16
Therefore, the next three terms in the geometric sequence are 1/4, -1/8, and 1/16.
Learn more about geometric sequence here:https://brainly.com/question/34721734
#SPJ3
A computer and printer cost a total of 1218. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
Computer costs 812, printer costs 406
Step-by-step explanation:
Let c represent the cost of a computer and p, the cost of a printer
c + p = 1218 ....eq 1
but,
c = 2p ...eq 2
Substitute the value of c in eq 1
2p + p = 1218
3p = 1218
Divide both sides by p
p = 406
Substitute the value of p in eq 2
c = 2 * 406
c = 812
What is the volume of the cone below?
A. 112 units3
B. 5671 units 3
C. 16811 units 3
D. 3367 units3
Answer:
B
Step-by-step explanation:
3367unit 3 unit 3
The volume of the cone with the given radius and height in terms of constant pi is 112π units³.
Hence option A) 112π units³ is the correct answer.
What is a Cone?A cone is simply a 3-dimensional solid geometric shape having a circular base and a pointed edge, it has a single face and a vertex.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is the radius, h is height and π is constant pie
Given the data in the image below;
Height of the cone h = 21Radius r = 4Volume of the cone V = ?We substitute our given values into the expression above.
V = (1/3)πr²h
V = (1/3) × π × (4 units)² × 21 units
V = (1/3) × π × 16 units² × 21 units
V = 112π units³
the volume of the cone with the given values of radius and height in terms of constant pi is 112π units³.
Hence option A) 112π units³ is the correct answer.
Learn more about volume of cone here: brainly.com/question/23863102
Marla thinks she can rewrite the expression as 4×(3+18) ÷6 and still get the same value is she correct? What I'd the value of Marla expression?
Answer:
No, if you add the parentheses things can change.
Step-by-step explanation:
4 times (3+18) divided by 6 is 14.
You have to divide first then multiply.
4 times 3+18 divided by 6 without the parentheses is 15.
Hope this helps!
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
36.5
Step-by-step explanation:
The median is the middle number when all the numbers are put in order from smallest to largest
-41 -32 33 40 43 55
The middle is between the third and fourth number
We add the 3th and 4th number and divide by 2
(33+40)/2 =73/2=36.5
Kathleen says that quadrilaterals have right angles Gray says that quadrilaterals do not have to have right angles explain who is correct
Both types of quadrilaterals do exist, so neither of them is correct.
Who is correct?Well, actually neither of the two kids is correct.
There are quadrilaterals that have internal right angles, such as the square or the rectangle, but there are also quadrilaterals whose internal angles do not measure 90°, like the case of the rhombus.
Then there are quadrilaterals with right angles and quadrilaterals without right angles, then neither Kathleen nor Gray are correct, because both types of quadrilaterals do exist.
If you want to learn more about quadrilaterals.
https://brainly.com/question/16691874
#SPJ2
Answer:
Neither of them are correct because both do exist but they are not right
Step-by-step explanation:
An isosceles triangle has a perimeter of 75 cm. Each of the two equal sides is twice as long as the base. Find the length of the base.
Answer:
the base is 15cm
Step-by-step explanation:
Check out the photo and ask me if you need further explanation.
The base of the isosceles triangle is 15 cm, obtained by setting up the equation based on the given perimeter and the relationship between the base and the equal sides.
Explanation:Length of the Base of an Isosceles Triangle
Let's denote the base of the isosceles triangle as b, and each of the two equal sides as s. According to the problem, s is twice as long as b; hence, we can write s = 2b. Given the perimeter of the triangle is 75 cm, we can set up the equation 2s + b = 75, which simplifies to 2(2b) + b = 75, and further simplifies to 5b = 75. Solving for b, we get b = 75 / 5, which gives us b = 15 cm.
Therefore, the length of the base of the isosceles triangle is 15 cm.
Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image? (–5, 8) (–3, –8) (5, –8) (3, 8)
The final image is:
[tex]\boxed{W''(3,8)}[/tex]
Explanation:Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:
First rule:
Reflection across the y-axis:
[tex](x,y)\rightarrow (-x,y)[/tex]
By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:
[tex]W'(-1,6)[/tex]
Second rule:
[tex]T(x+4,y+2)[/tex]
This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:
[tex]W''(x,y)=W''(-1+4,6+2) \\ \\ \boxed{W''(x,y)=W''(3,8)}[/tex]
Applying the transformations, it is found that the coordinates of point W'' on the final image are (3, 8).
----------------------------------
The first transformation is a reflection across the y-axis, which has rule [tex](x,y) \rightarrow (-x,y)[/tex]Applying for W(1,6), we get W'(-1,6).The second transformation is a translation defined by [tex]T(x,y) \rightarrow T(x + 4, y + 2)[/tex].Applying for W'(-1,6), we get W''(3,8), as [tex]-1 + 4 = 3[/tex] and [tex]6 + 2 = 8[/tex].A similar problem is given at https://brainly.com/question/10547006
The table shows the relationship "Mason rode 15 miles per hour on his bicycle."
Hours (h)
1
2
3
4
Miles (m)
15
30
45
60
75
Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
NE
Save and Exit
The statements which are correct are-
The number of miles increases as time increases. The number of hours causes a change in the number of miles ridden. The variable h is the independent variable.Step-by-step explanation
The above table displays the relationship between the time taken in hours ("h") by Mayon to cover the distance (miles "m").
It means that the distance is dependent on time in hours. Hence, the variable "m" is a dependent variable since it depends on time "h" for which bicycle is being ridden.
Similarly, the variable "h" is an independent variable.
As seen from the table, the value of "m" continuously increases for the value of "h" and thus the number of hours causes a change in the distance ridden.
Answer:
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable m is the dependent variable.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I also did the quiz, and got it correct.
Good luck!
Convert the unit of capacity. 2 qt 1 cup = ___ fl oz
A.40
B.72
C.80
D.136
help i guess
Answer: r43
Step-by-step explanation:
When the unit of capacity of 2 qt 1 cup is converted to fl oz is 72.
What is 2 qt 1 cup converted to fl oz?In order to convert 2 qt 1 cup to fl oz, the following steps should be taken:
First convert quart to ounce
1 quart = 32 ounce
32 x 2 = 64 ounce
Now, convert cup to ounce
1 cup = 8 ounce
Now add 64 to 8
64 + 8 = 72
The lines below are perpendicular the slope of the red line is -2 what is the slope of the green line
Answer:
The slope will be 1/2.
Step-by-step explanation:
Sine the lines are perpendicular, the slope of the green line will be the negative reciprocal of the slope of the red line. To find the negative reciprocal of -2, first change the sign. Since the slope is negative, make it positive 2. Then to find it's reciprocal, divide 1 by your answer. 1 divided by 2 is one half, s that is your answer.
Write the fraction shown by each model. Then determine whether the number is
closest to 0, 1/2, or 1.
Answer:
1. fraction is 5/8 which is closest to 1/2
2. fraction is 9/10 which is closest to 1
Dylan’s dad’s age is currently the square of Dylan’s age. If Dylan is 6 years old, how old is his dad?
Answer:36
Step-by-step explanation: 6^2 is the same as 6 times 6. So his dad is 36
Answer:
36
Step-by-step explanation:
There are to photocopy machines in office. The first machine produces five copies in eight seconds. The second machine produces 16 copies and 24 minutes. Are the two machines making copies at the same rate?
Answer:
No
Step-by-step explanation:
The rate per second for copies will be as follows
First machine
Since it takes 8 seconds to make 5 copies hence rate per second is equivalent to 5/8 copies per second
Second machine
First, convert its time into seconds. Given that 1 min has 60 seconds then 24 mins will have 24*60=1440 seconds
During this time, the machine makes 16 copies. Therefore, the rate per second is 16/1440 which when simplified is 1/90 copies per second.
Clearly, these two rates are different.
WILL GIVE BRAINLIST!!
Answer: 3/12 miles
Step-by-step explanation: 1/6 is the same as 2/12 since you multiply by 2/2 to convert it. You need to get it so the denominators are the same number. The adding 1+3 in the numerator gets you 3/12
Answer: 1/12 is the next measurement
Step-by-step explanation: im not sure if its write i just want brainlest
What is(f*g)(x)
f(x)=x³-4x+2
g(x)=x²+2
Answer:
there is no answer for that
Step-by-step explanation:
An equation with a degree greater than 1. The graph of the equation will not produce a line.
Answer:
Nonlinear Equation
Step-by-step explanation:
What’s the answer to this question?
Answer:
The correct answer is C.) 93° and 55°.
Step-by-step explanation:
The sum of the three angles of any triangle always equate to 180°. If triangle M has similar angles when compared to triangle N, all we have to do is add the angles up and subtract their sum from 180.
180° - (32° + 93°) = ?
180° - 125° = 55°
Hope this helps,
❤Nicki❤
Is this shape symmetrical
0.032 56 3 s.f. please help
Answer:
0.0326
Step-by-step explanation:
0.032 56 3
In 3 sf, would be
0.0326
The ratio of the number of girls in choir is 5 to 4 there are 60 girls in choir how many boys are in choir
Answer:75
Step-by-step explanation:
The number of boys in the choir can be calculated by setting up a proportion based on the given ratio of 5 girls to 4 boys. With 60 girls in the choir, solving the proportion indicates that there are 48 boys in the choir.
Explanation:This question deals with the concept of ratios. In this context, the ratio of girls to boys in choir is given as 5 to 4, which means for every 5 girls, there are 4 boys. As there are 60 girls in the choir, we can determine the number of boys by setting up a proportion.
First, let’s set our ratio to match the girl to boy ratio from our question, which is 5 to 4 or 5/4. Then we set that equal to a ratio of the number of girls to x (the variable we're using to figure out the number of boys), which will be 60 to x, or 60/x.
So, 5/4 = 60/x. Then, we cross-multiply to solve for x, which results in 5x = 240. We then solve for x by dividing each side by 5. So, x = 240 ÷ 5 = 48. This means there are 48 boys in the choir.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3
Write an expression equivalent to 3(x-7)
Answer:
3x-21
Step-by-step explanation:
3*x+3*(-7)=3x-21
Find the value of x
A) 22.5
B) 18.5
C) 18
D) 12
Answer:
A) 22.5
Step-by-step explanation:
The product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.
(5+13)*5 = x*4
18*5 = 4x
90 = 4x
Divide each side by 4
90/4 =4x/4
22.5 =x
four teachers by 10 origami books and 100 packs of origami paper for their classrooms they will share the cost of the Items equally how much should each teacher payorigami book $24 eachorigami paper $6 per pack origami kit $8 each
Answer:
$210
Step-by-step explanation:
(Note: there is no mention of the teachers buying origami kits so I will assume it's irrelevant)
We have 10 origami books, each of which is $24, so the total cost of the books is 10 * 24 = $240. We have 100 packs of origami paper, each of which is $6, so the total cost of the paper is 100 * 6 = $600.
Add these together: 240 + 600 = $840.
There are 4 teachers and each one will pay the same amount, so divide 840 by 4:
840 ÷ 4 = $210
The answer is $210.
Answer:
$210 each
Step-by-step explanation:
Total cost:
10×24 + 100×6
240 + 600
840
Cost to be divided into 4
840/4
210
Simplify using exponential notation. (9a^3)^6