One container of ice cream holds 9 scoops of ice cream. One package of ice cream cones has 12 cones. We want to make the fewest number of cones, with one scoop of ice cream on each cone and no ice cream or cones left over. How many containers of ice cream and packages of cones should be purchased? How many ice cream cones will we be able to make? The fewest number of ice cream cones we will be able to make is . We need to purchase containers of ice cream and packages of ice cream cones.

Answer:

[tex]17.3\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be  [tex]\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}[/tex]. The area of this figure can be given as [tex]b\cdot h[/tex], therefore our answer is [tex]5\cdot 2\sqrt{3}\approx \fbox{$17.3$}[/tex].

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by [tex]\frac{1}{2}ab\sin C[/tex]. Since there are 2 of these triangles, the area of the entire figure is [tex]2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}[/tex].

Answer:

95π

Step-by-step explanation:

area of a circle=πr²

radius of the big circle = 24/2=12

area of big circle = π(12)² = 144π

are of small circle = π(7)² = 49π

shaded area = area of big circle - area of small circle

= 144π-49π

= 95π

Answer:

1x²+5 x 6x

Step-by-step explanation:

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Answer:

5.04

Step-by-step explanation:

1 can equals to 336 grams

so 15 cans will equal to 336 X 15

which is 5040grams

now covert it into kg by dividing it by 1000

which 5.04

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer:

I Believe B

Step-by-step explanation:

Hope this helps:)

Answer:

B

Step-by-step explanation:

Its B

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

Answer:

£1430

Step-by-step explanation:

Given data

Principal =£1100

Rate= 5%

time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=1100(1+0.05*6)

A=1100(1+0.3)

A=1100(1.3)

A=1100*1.3

A=£1430

Hence the balance is £1430

Answer: 70 % of students did their homework last week.

Step-by-step explanation:

Given :

Total students = 300

Students who did their homework  = 210

Percentage of students who did their homework = [tex]\frac{\text {Students who did their homework}}{\text {Total students}}\times 100\%[/tex]

Putting the values we get:

Percentage of students who did their homework = [tex]\frac{210}{300}\times 100\%=70\%[/tex]

Thus 70 % of students did their homework last week.

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{100} \times 100[/tex]

Answer:

The answer is D.

Step-by-step explanation:

The car travels 16 miles in 1 hour, then stops for 3 hours, and finally travels 1 hour again for 32 miles.

Answer:

I think it is b or d I'm not sure though

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + [tex]\frac{3}{12}[/tex] ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]

[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]

h = [tex]\frac{55\times 5.25}{3.75}[/tex]

h = 77 ft

Therefore, height of the building will be 77 ft.

Answer:

7%=50

34950 7% decrease

35050 7% increase

Step-by-step explanation:

if 35000 is before the 7% decrease then it would be 34950

if after 35050

Answer:y<3/4x

Step-by-step explanation:

Its proportional

y intercept is 0 which means nothing

slope is 3/4

so

y<3/4x

BTW dotted lines are < not ≤

Answer: X= 2.4cm

Step-by-step explanation:

Take half the triangles base which is 2.5 CM

draw a line up through the middle, and get half the area which would be 6cm^2

now divide 6cm by 2.5 and get 2.4 Cm

So x=2.4 CM

The Perimeter of the isosceles triangle is 15.8 cm

Let h represent the height of the triangle. Using Pythagoras theorem:

x² = h² + 2.5²

h² = x² - 6.25

h = √(x² - 6.25)

The area of the triangle is 12 cm², hence:

12 = (1/2) * 5 * √(x² - 6.25)

√(x² - 6.25) = 4.8

x = 5.41 cm

Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm

The Perimeter of the isosceles triangle is 15.8 cm

Find out more on triangle at: https://brainly.com/question/24382052

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

Answer:

[C] f(-3) = 11

Step-by-step explanation:

Answer:

5/2+2/4=d

or d=3

Step-by-step explanation:

its all

Answer:

angle AXG will be 40°

because AXG is vertically opposite to FXD

so they both will be equal

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Answer:

Ben has 8 dimes and 7 quarters.

Step-by-step explanation:

Given that:

Number of coins = 15

Worth of coins = $2.55 = 2.55 * 100 = 255 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

x+y=15     Eqn 1

10x+25y=255     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=15)

10x+10y=150     Eqn 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y) = 255 - 150

10x+25y-10x-10y=105

15y=105

Dividing both sides by 15

[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]

Putting y=7 in Eqn 1

x+7=15

x=8

Hence,

Ben has 8 dimes and 7 quarters.

Answer:

−5(4x+3)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

4