2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?​

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

Answer:

7/15

Step-by-step explanation:

hope the picture helps

Answer:

42 green marbles

Step-by-step explanation:

sum the parts of the ratio, 7 + 2 = 9 parts

Divide the number of marbles by 9 to find the value of one part of the ratio.

54 ÷ 9 = 6 ← value of 1 part of the ratio , then

7 parts = 7 × 6 = 42 ← number of green marbles

Answer:

3/12 as a decimal is 0.25

2/9 as a decimal is 0.2 reapeted

Answer:

Answer written below

Step-by-step explanation:

Divide 3 by 12 and 2 by 9 using long division solve like normal long division if your divisor is bigger than your dividend add a zero on top and add a zero to the dividend.

Decimal form of  3/12:0.25

Decimal form of  2/9:0.22223

Answer:

p = 5/2w

Step-by-step explanation:

We want the ratio of pink beads to white shells

p: w

5: 2

Cross multiply

2p = 5w

Divide by 2

p = 5/2w

Answer:

5x+1=6.136

5x=6.136-1

5x=5.136

x=5.135/5

x=1.03

x=1

Data obtained from the question

Dimension of room = 16 m × 6 m

Length (L) = 60 m

Determination of the area of the room.

Dimension of room = 16 m × 6 m

Area of the room = 16 × 6

Determination of the breadth

Area of the room (A) = 96 m²

Length (L) = 60 m

[tex]A = L * B\\96 = 60 * B[/tex]

Divide both side by 60

[tex]B = \frac{96}{60}[/tex]

Therefore, the breadth of the carpet required is 1.6 m.

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Answer:

How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

Hope this helps :D good luck!!

Answer:

Step-by-step explanation:

Answer:

The answer is 12

Step-by-step explanation:

You see its because.

Answer:

?=12

Step-by-step explanation:

Using the Thalès's theorem:

[tex]\dfrac{6}{6+4}=\dfrac{?}{20} \\\\?*10=6*20\ (cross\ products)\\\\?=\dfrac{6*20}{10} \ dividing\ by\ 10\\\\?=12[/tex]

Hi there!

[tex]\large\boxed{m = 2}[/tex]

Since the line is increasing (the y-values are increasing as x increases), we can automatically eliminate any answer choice containing a negative slope.

Thus, the only correct answer choice would be m = 2.

We could also solve using the slope formula:

m = y2-y1/x2-x1

Plug in given points:

m = 3-1 / 0 - (-1)

m = 2 / 1 = 2

Answer:

51 gingerbread cookies

Step-by-step explanation:

Find how many gingerbread cookies he got by finding 75% of 68:

68(0.75)

= 51

So, Jacob got 51 gingerbread cookies.

Answer:

-5

Step-by-step explanation:

since it is a lose, it is represented by a negative sign.

Answer:

are you sure there is no further info

Step-by-step explanation:

Answer:

8 lb box

Step-by-step explanation:

Find which laundry detergent has a lower unit price

The unit price is how much something costs for a single unit

In this case, it is how much the detergent costs for 1 pound

7.4/8 lbs = 0.925 dollars per lb

5.38/4 lbs = 1.345 dollars per lb

Since 1.345 > 0.925, the 8 lb box is a better buy

Case 1

Cost of 8 pound detergent = $7.40

So, cost of 1 pound detergent

= $7.40 ÷ 8

= $0.925

Case 2

Cost of 8 pound detergent = $5.38

So, cost of 1 pound detergent

= $5.38 ÷ 4

= $1.345

$0.925 < $1.345

$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box

So, buying the 8 pound box is better.

Answer:

237 because it can come in both

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.

Answer:

=k=0.25h-7/12

Step-by-step explanation:

4(h-3k)=h+7

=4h-12k=h+7

collecting like terms and leaving characters with k on 1 side, we get;

12k=3h-7

=k=0.25h-7/12

Answer:

$750,000

Step-by-step explanation:

$750,000 $680,000 $600,000 $880,000 $1,200,000 $760,000 $480,000

Write the prices in increasing order and choose the middle one.

$480,000 $600,000 $680,000 $750,000 $760,000 $880,000 $1,200,000

Answer: $750,000

Answer:

Given,  

The ratio of the three numbers are 1:2:3 . Let the numbers are x , 2x and 3x.

According to the question,

x³+(2x)³+(3x)³=4,500  

⟹x³+8x³+27x³=4,500  

⟹36x³=4500  

⟹x³=4,50036  

⟹x³=125  

⟹x=125−−−√3  

⟹x=5  

So the numbers are 5,5×2=10,5×3=15  

Therefore, 5 is the smallest number.

https://www.quora.com/Three-numbers-are-in-the-ratio-1-2-3-and-the-sum-of-their-cubes-is-4-500-What-is-the-smallest-number

If both are complementary then their sum will be 90°

[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]

[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]

[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]

[tex]\\ \sf\longmapsto 3x-12=90[/tex]

[tex]\\ \sf\longmapsto 3x=90+12[/tex]

[tex]\\ \sf\longmapsto 3x=102[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]

[tex]\\ \sf\longmapsto x=34[/tex]

Now

[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]

Answer:

-25

Step-by-step explanation:

First, add 5 to -23 since the temperature is getting hotter.

so -23 +5= -18

Second, minus the answer by 7 since the temperature is now falling down after the sunset.

so -18 -7 = -25

or...

this step can be simplified as:

-23 +5 -7 =. -25

Answer:

square of 31 is 961

Step-by-step explanation:

31^2

31×31

=961

Answer:

25%

Step-by-step explanation:

125 of 500 can be written as:  125 /500

To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100.  

125 /500  ×  100 /100

= ( 125 × 100/ 500 ) ×  1 /100   =  25 /100

Answer:

25%

Step-by-step explanation:

Of means multiply and is means equals

P *500 = 125

Divide each side by 500

P = 125/500

P = .25

Change to percent form

P = 25%

Answer:

1 mile = 5280 feet, then

Find 1000 feet in miles:

[tex]\\ \sf\longmapsto 1feet= \dfrac{1}{5280}miles[/tex]

Now

[tex]\\ \sf\longmapsto 1000feet[/tex]

[tex]\\ \sf\longmapsto 1000\times \dfrac{1}{5280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1000\times 1}{5280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1000}{5280}[/tex]

[tex]\\ \sf\longmapsto 0.18miles[/tex]

Answer:

x=5

Step-by-step explanation:

1 - x = 16 - 4x

Rearrange :

-x +4x = 16 - 1

3x = 15

x = 5.

Hence, there is one solution : {5}

Answer:

x=5

Step-by-step explanation:

1-x=16-4x

-1 -1

-x=15-4x

+4x. +4x

3x=15

/3. /3

x=5

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.

His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.

This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

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