MATHEMATICS MIDDLE SCHOOL

Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much taller the actual Eiffel tower than the action space Needle

Answers

Answer 1

Answer:

The actual height of the Eiffel Tower is 500 feet taller than the actual height of the Space Needle.

Given:

height of the Eiffel Tower in the scale drawing is 2.75 inches

and the height of the Space Needle in the scale drawing is 1.5 inches.

According to the scale,

Actual height of the Eiffel Tower = 2.75 inches * 400 feet/inch = 1100 feet

Actual height of the Space Needle = 1.5 inches * 400 feet/inch = 600 feet

Now, we can find the difference in their actual heights:

Difference = Actual height of Eiffel Tower - Actual height of Space Needle

= 1100 feet - 600 feet

= 500 feet

Therefore, the height of Tower is 500 feet taller than Space Needle.

Learn more about Scale factor here:

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The missing figure is attached at the end.

Answer 2

Answer:

Answer:

x4800 inch

Step-by-step explanation:

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The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

Answers

Answer: k=-5

Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for $p(x)=x^3+(k+8)x+k$ if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, $p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24$

$p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9$

According to the question,

p(2)+p(-1)=0

$\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5$

Solve for x and y
3x-7y=6

7x+3y=72

Answers

This is a System of Equations, so basically what we want to do is to get one of these variables to equal zero. However none of the variables are equal, 7x doesn't equal 3x and 3y is not 7y. So we need to multiply both equations in the system to make one of these variables equal.

Let's Multiply The Top One By 3
$3x - 7y = 6 \n 3(3x - 7y) = 3(6) \n 9x - 21y = 18$
Let's Multiply The Bottom One By 7
$7x + 3y = 72 \n 7(7x + 3y) = 7(72) \n 49x + 21y = 504$
Now As You Can See 21y and -21y are equal, aand by that I mean that they will equal zero once added.

Now We Solve The System
1st. Add Straight Down Ex. 9x+49x, -21y+21y, 18+504
$9x - 21y = 18\n 49x + 21y = 504$
Add Straight Down
$58x + 0y = 522 \n 58x + 0 * y = 522 \n 58x = 522$
Now we Solve For X
$58x = 522 \n (58x)/(58) = (522)/(58) \n x = 9$

Now We've Found X, We Need Y, and We Can Find It By Plugging In X To One of The ORIGINAL EQUATIONS.

One Of The Original Equations
$3x - 7y = 6$

1st. X=9, So Replace X with 9

$3(9) - 7y = 6 \n 27 - 7y = 6$
Solve For Y

$- 7y = 6 - 27 \n - 7y = - 21 \n ( - 7y)/( - 7) = ( - 21)/( - 7) \n y = 3$

Now We Test It, X=9, Y=3
$3x - 7y = 6 \n 3(9) - 7(3) = 6 \n 27 - 21 = 6 \n 6 = 6$
AND

$7x + 3y = 72 \n 7(9) + 3(3) = 72 \n 63 + 9 = 72 \n 72 = 72$
SO: ANSWER
$x = 9 \n y = 3$

13 is at least the difference of a number v and 1

Answers

v - 1 ≥ 13

good luck!!

A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat. How many grams of fat are there in 3.75 servings? Justify your answer

Answers

Answer:

9.375 grams of fat are there in 3.75 servings.

Step-by-step explanation:

Given : A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat.

To find : How many grams of fat are there in 3.75 servings?

Solution :

One serving of Apple crisp oatmeal has 2.5 grams of fat.

i.e., 1 serving = 2.5 gram fat

We have to find the grams of fat for 3.75 servings

$3.75\text{ serving }=3.75* 2.5\text{ gram fat }$

3.75 serving = 9.375 gram fat

Therefore, 9.375 grams of fat are there in 3.75 servings.

there are 9.375 grams because you are supposed to multiply 2.5 by 3.75.

What is the value of 60 tens

Answers

The value of 60 tens is 600.

What is the place value?

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.

Given that, 60 tens.

Tens is the position two spaces to the left of the decimal point in a number written using the Arabic numeral system.

Here, 60×10

= 600

Therefore, the value of 60 tens is 600.

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It would be 600.

You would multiply 60 times 10.

Hope it helped!:)

Jesse's dog Angel weights 18 1/2 lbs.. How many ounces does Angel weight?

Answers

if each pond contains 16 ounces, then half a pound contains 8 ounces so
if 18 times 16 =288 ounces, and 1/2 of a bound is 8 ounces, add them up to 296 and theres your awnser!!! Tell me if it helped at all?

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