At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
ice cream.
(a) What is the ratio of the number of people
who ordered chocolate to the number of
people who ordered vanilla in simplest
terms?
(b) At a different event, 42 people bought
chocolate and 30 bought vanilla. Does
this event have the same
chocolate to vanilla purchases as the ice
cream social from (a)? Justify.
ratio of

Answer: 20

Step-by-step explanation: to find f, you divide 10 by 0.5 to see what’s left. When you divide it you get 20. To check your work multiply 0.5 by 20 and you’ll see that it equals 10.

Answer:

A. 5

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

4+5 = 9.

9/2 = 4.5

4.5 * 3 = 13.5

Answer:

50 yards because of the roundness of the table

-3/2

slope = rise/run

We can use the two points to calculate rise (y value change) and run (x value change)

slope = (-6)/4 = -3/2

Answer:

False

Step-by-step explanation:

_7/10 does not equal -4/5

Answer: No.

Step-by-step explanation: The left side, -0.7 doesn't equal the right side, -0.8, so it is false.

To find equivalent fractions, multiply the the numerator and denominator by the same whole number.

[tex]-\frac{7}{10}\times\frac{2}{2} =-\frac{14}{20}[/tex]

[tex]-\frac{7}{10}\times\frac{3}{3} =-\frac{21}{30}[/tex]

[tex]-\frac{7}{10}\times\frac{4}{4} =-\frac{28}{40}[/tex]

And so on...

[tex]-\frac{4}{5}\times\frac{2}{2} =-\frac{8}{10}[/tex]

[tex]-\frac{4}{5}\times\frac{3}{3} =-\frac{12}{18}[/tex]

[tex]-\frac{4}{5}\times\frac{4}{4} =-\frac{16}{20}[/tex]

And so on...

If we keep doing this, they won't equal each other.

So no, they're not equivalent.

Answer:

150 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle

Using this we can find the diagonal i.e hypotenuse.

From the question we know that,

Length = 120 metres

Width = 90 metres

So we can find the diagonal by keeping it as x using the pythogorean theorem.

[tex] {120}^{2} + {90}^{2} = {x}^{2} \\ 14400 + 8100 = {x}^{2} \\ 22500 = {x}^{2} \\ x = \sqrt{22500} \\ x = 150[/tex]

Answer:

Yes

Step-by-step explanation:

Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.

Hope that helps!

-Sabrina

Answer:

Step-by-step explanation:

-x² + 8x + 20 = b

-x² + 8x + 20 - b = 0

a = -1 ; b = 8 ; c = 20 - b

 There is no real roots.

So, b² - 4ac < 0

Plug in a, b and c values

8²- 4(-1)(20-b) < 0

When we multiply (-1) and (-4), we will get 4

64 + 4(20 - b) < 0

64 + 4*20 - 4b < 0

64 + 80 - 4b < 0

144  - 4b    < 0

Subtract 144 from both sides

-4b < -144

Divide both side by -4 and when we are dividing by (-4), < will change to >

b > -144/-4

b > 36

So, when value of b is greater than 36, the equation will have no real roots.

Answer:

Categorical variables represent types of data which may be divided into groups. It can not measure.

Step-by-step explanation:

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer:

C. 72/100

Step-by-step explanation:

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

Answer:

B 3y=6.3

Step-by-step explanation:

On the hangers left side there are 3 Y's so we would put that together as 3y

On the hangers right side there is a rectangle with a whole of 6.3

The 3y would equal with the 6.3

Answer:

the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2 is:

4 y^2

Answer:

25 towels hahha

Step-by-step explanation:

Answer:

a. ∠G = 180 - (90 + 32)

b. ∠G = 58°

c. ∠J = 180 - 58°

d. ∠J = 122°

Step-by-step explanation:

Angles are added to result in 180°

when the line is straight; thus:

a.

∠G = 180 - (90 + 32)

b.

∠G = 180 - 122

∠G = 58°

c.

∠J = 180 - 58°

d.

∠J = 122°

_____________________

#IndonesianPride - kexcvi

Answer:

£8934.34

Step-by-step explanation:

[tex]8000 * 1.028^4 = 8934.34[/tex]

rounding to 2dp

if trunctuated at 2dp however, 8934.33

the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as

x * n * n * n * n, where it would simplify to x * n^4

Answer:

Step-by-step explanation:

3(x-y)-3x-7y=3(5)-(-5)

3x-3y-3x-7y=15+5

-10y=20

y=-2, since x-y=5

x-(-2)=5

x+2=5

x=3

So the solution is the point (3,-2)

Answer:

360

Step-by-step explanation:

6 executives control 90% of the 400 major media outlets

so we need to find 90% of 400

first, convert 90% to a decimal and multiply

0.9•400 gives us 360

so 360 media outlets are controlled by those 6 executives

hope this helps babe <3

Answer:

00–99

Step-by-step explanation:

I got it Correct

The correct label for the population would be: 1-100 as per the given scenario.

In statistics, a population refers to the entire group of individuals, objects, or measurements that the researcher is interested in studying.

In this scenario, the population refers to the entire group of items or people that the farmer is interested in studying.

In this case, the population is the total number of ears of corn produced by all 100 seeds sown by the farmer.

As a result, the population's correct label would be: 1-100. Because the farmer is interested in the yield of all 100 seeds, the population includes all possible outcomes of the experiment, ranging from one to one hundred ears of corn.

Option A, B, and C do not include all possible outcomes, whereas option D includes the number 0, which is not an option in this scenario.

Thus, the answer is 1-100.

For more details regarding population, visit:

https://brainly.com/question/27991860

#SPJ7

Answer: 1/4

Step-by-step explanation: 3/4-1/2= 1/4

Answer:

Step-by-step explanation:

Answer:

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( [tex]y = mx + b[/tex]) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the point-slope equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute 3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

[tex]y-7 = 3(x-5)[/tex]

2) Now, isolate y in the above equation to find its slope-intercept form.

[tex]y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8[/tex]

Thus, the answer would be the third option as it matches the result we received.

Answer: y= 5x +7

Slope is rise over run. From the two given points we rise 10 and run 2 which is 10/2 or 5.

7 is how high/low we are when we are at x=0

Answer:

Hi!

y= 5x+7

The five is the slope and i counted from the point on the y axis until the next point on the line. Which is 10/2. simplified that is 5/1 or just 5.

The seven in where the line intercepts the y axis.

Hope this helps! Have a good day and don't forget to be tiger fierce!! :)

Answer:

83.6 degrees

Step-by-step explanation:

Answer:

13916.6m^3

Step-by-step explanation: