Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

600 × .8 = 480

480 Students

Answer:

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

The answers are:

Side XY = 26

BC ≅ XY

Side BC = 48

Answer:

Step-by-step explanation:

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

\(DF = 38\)

\(GE = 40\)

Step-by-step explanation:

Given

\(DH = 2y + 6,\)

\(HF = 4x + 1,\)

\(HE = 3x + 2\)

\(GH = 20.\)

See attachment for parallelogram.

Required

Find GE and DF

From the attachment:

\(GH= HE\)

Substitute values for GH and HE

\(20 = 3x + 2\)

Subtract 2 from both sides

\(20-2 = 3x + 2-2\)

\(20-2 = 3x\)

\(18= 3x\)

\(3x = 18\)

Divide both sides by 3

\(x = \frac{18}{3}\)

\(x=6\)

\(GE = GH + HE\)

\(GH= HE\)

So:

\(GE = GH + GH\)

\(GE = 20 + 20\)

\(GE = 40\)

To find DF, we find y first:

\(DH = HF\)

\(2y + 6 = 4x + 1\)

Subtract 6 from both sides

\(2y +6- 6 = 4x + 1-6\)

\(2y = 4x + 1-6\)

Substitute 6 for x

\(2y = 4*6 + 1-6\)

\(2y = 19\)

Divide both sides by 2

\(y = \frac{19}{2}\)

\(y = 9.5\)

DF is then calculated as"

\(DF = DH + HF\)

\(DF = 2y+6 + 4x+1\)

Substitute values for x and y

\(DF = 2*9.5+6 + 4*3+1\)

\(DF = 38\)

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

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Answer:

the answer is only A (I think so...)

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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9514 1404 393

Answer:

  an extraneous solution

Step-by-step explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.

Answer:

divide 528 by 88 and you will get 6

therefore, each person will receive 6 donuts :)

Step-by-step explanation:

Answer:6.5

Step-by-step explanation:

it cant be 2 ft or 72 feet so it leaves us with the other two opsitions

Answer:

7.5 or 15/2

Step-by-step explanation :

Answer:

a:b:c

1a) 14:16:7

b) 2:1:5

c) 2:1:48

d) 15:24:32

2) 56:12:3

Step-by-step explanation:

Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.

a) 2 minggu hingga 16 hari hingga 1 minggu

Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.

2 minggu = 14 hari

16 hari = 16 hari

1 minggu = 7 hari

2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari

14: 16: 7

b) 0.1 kg hingga 50 g hingga 0.25 kg

Menukar semua menjadi gram

= 100 g hingga 50 g hingga 250 g

= 100: 50: 250

Bahagikan dengan 50

= 2 : 1 : 5

c) 4 minit hingga 120 saat hingga 1.6 jam

Menukar semua menjadi beberapa saat

= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat

= 240 saat hingga 120 saat hingga 5,760 saat

= 2: 1: 48

d) 3 m hingga 480 cm hingga 6 400 mm

Menukar semua ini menjadi mm

= 3000 mm hingga 4800 mm hingga 6400 mm

Membahagi hingga 200 mm

= 15:24:32

2) RM5.60 hingga RM1.20 hingga 30 sen

Menukar semuanya kepada sen

= 560 sen hingga 120 sen hingga 30 sen

Membahagi hingga 10

= 56: 12: 3

Semoga ini Membantu !!!

English Translation

Solution

0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6

20:30:46

10:15:23

Self Training 4.1a

1. Represent the relationship between the following three quantities in the form a: b: c.

(a) 2 weeks to 16 days to 1 week

(b) 0.1 kg to 50 g to 0.25 kg

(c) 4 minutes to 120 seconds to 1.6 hours

(d) 3 m to 480 cm to 6 400 mm

2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.

Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.

Solution

To form a ratio of three quantities, we first convert each of them to the same units.

a) 2 weeks to 16 days to 1 week

Converting all of it to number of days, as itnis very comparable.

2 weeks = 14 days

16 days = 16 days

1 week = 7 days

2 weeks to 16 days to 1 week

= 14 days to 16 days to 7 days

14 : 16 : 7

b) 0.1 kg to 50 g to 0.25 kg

Converting all into grams

= 100 g to 50 g to 250 g

= 100 : 50 : 250

Divide through by 50

= 2 : 1 : 5

(c) 4 minutes to 120 seconds to 1.6 hours

Converting all into seconds

= 240 seconds to 120 seconds to (1.6×60×60) seconds

= 240 seconds to 120 seconds to 5,760 seconds

= 2:1:48

(d) 3 m to 480 cm to 6 400 mm

Converting all of this to mm

= 3000 mm to 4800 mm to 6400 mm

Dividing through by 200 mm

= 15:24:32

2) RM5.60 to RM1.20 to 30 cents

Converting it all to cents

= 560 cents to 120 cents to 30 cents

Dividing through by 10

= 56:12:3

Hope this Helps!!!

Answer:

Step-by-step explanation:

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

3 5/6

Step-by-step explanation:

18/6 = 3

23-18=5 (5/6 are left)

Step-by-step explanation:

..................see picture....

55÷11[120÷2{4+(10+5-7)}]

5[60{4+(8)}]

5[60{4+8}]

5[60{12}]

5[60+12]

5[72]

5+72

77

so answer is 77

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

diagram

Step 02:

angles:

we must analyze the diagram to find the solution.

65° + 65° + x = 180°

x = 180° - 65° - 65°

x = 50°

The answer is:

x = 50°

Answer:

no company a gets 3 miles company b gets 5 miles

Step-by-step explanation:

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Answer:

y=−x2+8x−7

Step-by-step explanation:

Answer:

1 = 1 liter

2 = 1 kiloleter

3 = 1 quart

4 = 1 pint

5 = 1 cup

6 = 1 gallon



Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Total number of units= 11,300

Total overhead= 6,200 + 188,000 + 134,000 + 29,000 + 224,750= $581,950

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 581,950 / 11,300

Predetermined manufacturing overhead rate= $51.5 per unit

Now, we can calculate the total cost of making 2,600 units:

Total cost= (82 + 66 + 51.5)*2,600

Total cost= $518,700

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The circumference of the given circle with radius of 2.9 inches is; 18 inches

The formula for circumference of a Circle is;

C = 2πr

where;

r is radius

π is a constant = 3.14

From the given circle, we are given that;

Radius; r = 2.9 inches

Thus;

Circumference = 2 * 3.14 * 2.9

Circumference = 18.212 inches

Rounding up to the nearest while number gives us;

Circumference = 18 inches

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