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3 years ago

Round 4,982 to the nearest hundred

Mathematics

2 answers:

FromTheMoon [43]3 years ago

8 0

The next nearest hundred for this equation is 1,000 so the answer is 5,000.
I hope this helps ;)

Brums [2.3K]3 years ago

8 0

The answer is 5,000 because you have to look at the place value that's next to the 4 and if its higher or above give it a shove and that should be your anser

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Find the area of the rectangle

tia_tia [17]

Answer:

$\frac{6}{7} yd^{2}$

Step-by-step explanation:

Area is the width (6/7 yd) multiplied by the height (1 yd).

6/7 x 1 = 6/7 $yd^{2}$

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2 years ago

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The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?

jonny [76]

height:length

1:2

x feet: 5 feet

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3 years ago

2<br> Multiple choice. How many solutions does the equation 6 + 1 = -6x+ 10 have?

natulia [17]

Answer:

x = 0.5, one solution

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3 years ago

Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a

Phantasy [73]

Answers:

Pizza Uno = $5.25
Pizza Duo = $5.60

Those are the costs for a whole small pizza.

==========================================================

Explanation:

Let

x = cost of whole small pizza from Pizza Uno
y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

Pizza Uno charges $5.25 for a whole small pizza.

----------------------------

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

y = 5.60

Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

7 0

3 years ago

In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.

Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

<ABD = <BDH = 38°

<DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

#SPJ1

4 0

2 years ago