MATHEMATICS MIDDLE SCHOOL

Work out the number that is halfway between 27 times 38 and 33 times 38.Show your working out aswell.

Answers

Answer 1

Answer:

The number halfway between 27 times 38 and 33 times 38 is 1140.

What is equation modelling? What is a mathematical equation and expression?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given is 27 times 38 and 33 times 38.

Let the number be [x]. Then -

[x] = 1/2 x {(27 x 38) + (33 x 38)}

[x] = 1/2 x {38 x 60}

[x] = 19 x 60

[x] = 1140

Therefore, the number halfway between 27 times 38 and 33 times 38 is 1140.

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brainly.com/question/17421223

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Answer 2

Answer: $27*38=1026\n 33*38=1254\n x-between\ number\n x=(1026+1254)/(2)\n x=(2280)/(2)\n x=1140$

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Look at the question above.please help me on 3a and 3b

what if erika and Bradley want to hike 14 miles each day? how many days will they hike exactly 14 days?

Answers

you just need to multiply 14 miles by 14 days so the answer is 196

The area of a rectangle is 256.5m. If the length is 18m what is the perimeter of the rectangle?

Answers

The area of a rectangle equals length times height. (A=LH)

A=256.5 L=18

Plugging in the numbers into the equation, you get 256.5=18H. (like I substituted the numbers in)

next if you divided both sides by 18, it will cancel out the 18 in the 18H side of the equation.

So, it is 256.5/18 equaling H

256.5 divided by 18 is... 14.25

That means the height is 14.25 an the length is 18.

the perimeter is all of the sides added together. in a rectangle, the sides opposite each other are the same.

So you have two sides that are 14.25 and two that are 18 meters long.

14.25+14.25+18+18 equals the perimeter then.

So the answer would be... 64.5!

area = l x b

thus, 256.5 = 18 x b

thus b = 256.5/18
= 14.25

thus, breadth is 14.25 meters

Now perimeter = 2l + 2b

= 36 + 28.5

= 64.5

Thus, perimeter of the rectangle is 64.5 meters

you spend $50 on a meal for you and your friends. graph the equation 1.5y+4x=50. y =number of sandwiches bought and x= number of drinks.

Answers

Start by listing this until you see that X+Y = 50
X can equal: 4,8,12,16,20,24,28,32,36,40,44
Y can equal: 1.5,3,4.5,6,7.5,9
So...
X=11
Y=4
so... 4 sandwiches were bought, and 11 drinks.

Answer:4 sandwhiches and 11 drinks

Step-by-step explanation:

jess puts 1 2/3 tomatoes in each salad. Dott ate 1 1/2 salads yesterday and 2 7/10 salads today. How many more tomatoes did she eat today? Explain how you solved this problem.

Answers

1 and 2/3 per salad
1 and 1/2 salad eaten then 2 and 7/10 salad eaten
subtract salads eaten
1 and 1/2=1 and 5/10
2 and 7/10-1 and 5/10=1and 2/10=1 and 1/5
convert to improper fraction
6/5=salads eaten

so 1 and 2/3 to imporper is 5/3

so multiply amount per salad by salad eaten
5/3 times 6/5=30/15=2
answer is 2 more tomatoes

First of all... Who would name their kid dott??!?!!

Decimal time:
1 2/3= 1.666, forever
2 7/10= 2.7
1 1/2= 1.5

1.6666 forever times 1.5 = the amount of tomatoes she ate yesterday. = 2.5

1.666 forever times 2.7 = the amount of tomatoes she ate today. = 4.5

4.5 - 2.5 = 2

She ate 2 more tomatoes today than she did yesterday.

Karen is seven years older than suzanne.Four years ago,karen was twice as old as suzanne was.How are they now?

Answers

$K-Karen\ age\nS-Suzanne\ age\nK-4-Karen\ age\ 4\ years\ ago\nS-4-Suzanne\ age\ 4\ years\ ago\n\n \left\{\begin{array}{ccc}K=S+7\nK-4=2(S-4)\end{array}\right\n\left\{\begin{array}{ccc}K=S+7&(1)\nK-4=2S-8&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(S+7)-4=2S-8\nS+7-4=2S-8\nS+3=2S-8\ \ \ \ |subtract\ 3\ from\ both\ sides\nS=2S-11\ \ \ |subtract\ 2S\ from\ both\ sides\n-S=-11\n\boxed{S=11}$

$Put\ the\ value\ of\ S\ to\ (1):\n\nK=11+7\n\boxed{K=18}\n\n\left\{\begin{array}{ccc}K=18\nS=11\end{array}\right\n\nAnswer:\ Karen\ does\ 18\ years\ and\ Susanne\ does\ 11\ years.$

karen age=k
suzanne age=s

karen (k) is (=) 7 years older (+7) than suzanne(s)
k=7+s

four year ago means
s-4 and k-4

four years ago (-4 to all) karen (k) was (=) twice (2 times) suzzane (s)
k-4=2(s-4)
distribute
k-4=2s-8
add 4 to both sides
k=2s-4
we know that k=7+s so subsitute 7+s for k
7+s=2s-4
add 4 to both sides
11+s=2s
subtract s from both sides
11=s

suzanne=11
subsitute 11 for s in k=s+7

k=7+11
k=18

karen=18
suzanne=11

WILL GIVE THE BRAINLEST
PLZ HELP WITH 5, 6, 7
SHOW WORK

Answers

5)m<4=13°[being vertically opposite angle)

6)m<2+<3=180°(Being straight angle)

or,m<2=180°-110°

m<2=70°

7)m<1+m<4=180°[being straight angle]

or,m<1=180°-65°

m<1= 115°

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