5/21 Marks
You can buy jars of the same jam in two sizes.
Large Jar
Small Jar
440g for £1.54
340g for £1.26
By considering the price per gram, work out
which jar is the best value for money.

Answer:

(5,2)

Step-by-step explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug points F(2,2) and G(8,2) into the equation

[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

[tex]3x-4y=-2[/tex]

First, convert the second equation into slope-intercept form:

[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]

Distribute:

[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]

Therefore:

[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]

The answer is C.

Answer:

4

Step-by-step explanation:

To solve this you need the find the GCF or the greatest common factor.

To do this just look through the numbers to find the highest factor for all three.

For 8, 12, and 16 it would be 4.

4 goes into all of them and no number higher can do this

So your answer would be 4.

Answer:

Step-by-step explanation:

18y + 36 - 60y + 80

116 - 42y

Answer:

-42y+116

Step-by-step explanation:

Expand:

-6(-3y-6)-10(6y-8)

Simplify:

18y+36-60y+80

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

Answer:

0.88 (I think this is how Mrs. Futch wants it to be written)

Step-by-step explanation:

h=-16t^2+14t

(Substitute h with 0)

0=-16t^2+14t

(Factor)

0=2t(-8t+7)

2t=0               -8t+7=0

t=0                  t=0.88

{0, 0.88}

Answer:

So everyone here in Mrs. Futch?

Step-by-step explanation:

Answer:

34.1546, 34.248, 39.637, 44.3421, 44.351

Step-by-step explanation:

The graph of a translated exponential function is shown below. Its parent function is y = 4x.?

The function has been translated down 3 units and right 2 units. The equation of the graphed function is

.. y = -3 +4^(x -2)

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

i don`t know the answer to this one tho,very sorry

Answer:

y = [tex]4^{x - 2}[/tex] - 3

Step-by-step explanation:

Answer:

25x-5

Step-by-step explanation:

Answer:

17.1 in2

Step-by-step explanation:

Answer:

Leanne's hourly rate is $15 per hour

Step-by-step explanation:

Assuming a year is 52 weeks, divide $15,600/52 to find the $/week ($300). Then, divide $300/20 to find the $/hrs ($15)

Answer:

y=-3x+7 i hope this helped

Answer: The correct answer is B.

Step-by-step explanation:

Answer:

12m+8

12m+36-28

Answer: .81

Step-by-step explanation: divide 9 and 11

Answer:

well first 312 in radical form is  √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

In mathematics rational means "ratio like." so a rational number is one that can be written as the ratio of two integers. 1 3/23 can be converted into 26/23, which is a ratio, therefore, 1 3/23 is a rational number.

Hope this helps!

Answer:

134 x 3= 402 cups of flour needed

Step-by-step explanation:

Answer:

41 ft 2 in

Step-by-step explanation:

Since the two triangles in question, that means that the triangles have the same proportions. We know that GH = 16 ft 7 in = 199 in (16x12+7) and HN = 6 ft 3 in = 75 in (6x12+3). GH/HN is 199/75. This is the same ratio that GO/AN will have as well. GO is unknown so we will denote it as x and AN = 15 ft 6 in = 186 in (15x12+6). We know that these two fractions are equal. 199/75 = x/186 solving for x, we get x = 493.52 in and converting that into feet we get 41 ft 1.52 in which rounds to 41 ft 2 in.

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression [tex]-5g_{12}[/tex]. The base would be the little subscript number that is next to the variable, so the base in the expression [tex]-5g_{12}[/tex] is 12.

Answer:

d

Step-by-step explanation:

Answer:  I'm doing this problem too, so the equation I used was y=4x+20.  Now we need to find how many minutes can Lexus skateboard in 2 1/2 miles.