May I please receive receive help?

The greatest of the 4 consecutive integers with a sum of -278 is -68

Let n, n + 1, n + 2 and n + 3 be four consecutive integers.

The sum of four consecutive integers is -278.

⇒ n + (n + 1) + (n + 2) + (n + 3) = -278

⇒ n + n + n + n + 1 + 2 + 3 = -278

⇒ 4n + 6 = -278

⇒ 4n = -278 - 6

⇒ 4n = -284

⇒ n = -284/4

⇒ n = -71

So, the consecutive integers would would be:

n = -71

n + 1 = -70

n + 2 = -69

n + 3 = -68

here, the greatest of the 4 integers is -68

Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68

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Answer:

225 packets

Step-by-step explanation:

Height of cubical box = 75cm

Dimension of rectangular packet = 25×15×5cm

Volume of cubical box = 75^3

Volume of cubical box = (75 * 75 * 75)cm³ = 421,875 cm³

Volume of rectangular packet = 25×15×5cm = 1875 cm³

Number of rectangular packets required /

421,875 cm³ / 1875 cm³

= 225

Number of packets required = 225 packets

we have that

The figure show a cube

the volume of the cube is equal to

V=b^3

where b is the length side

we have

b=10 cm

substitute

V=10^3

V=1.000 cm3

Answer:

B

Step-by-step explanation:

Any number times 1 is itself, thus the multiplicative identity property

Answer:3/2

Step-by-step explanation:

i just had this on a test a triangle always equals this

The ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, a triangle has sides of lengths 3.2 cm, 4.8 cm and 3.6 cm.

The ratio of the lengths is 3.2:4.8:3.6

= 1.6:2.4:1.8

= 0.8:1.2:0.9

Therefore, the ratio of the lengths of the sides to one another is 0.8:1.2:0.9.

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Answer:

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

According to the Angles of Intersecting Chords Theorem, the angle between two chords is half the sum of the intercepted arc measures :

Substitute and solve for x:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$38000\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 38000\left(1+\frac{0.0475}{1}\right)^{1\cdot 6}\implies A=38000(1.0475)^6 \implies A \approx 50200\)

Answer:

\( - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864\)

________o____o_____

30–(x+5)=7x-7

30 – x–5 =7x -7

7x+x = 30-5+7

8x = 32

x= 32/8

x=4

I hope I helped you^_^

Answer:

2nd graph from top

Step-by-step explanation:

a/ -5 ≥ 10

Multiply each side by -5, remembering to flip the inequality

a/-5 *-5 ≤ 10*-5

a ≤ -50

closed circle at -50 line going to the left

Answer: 125

Step-by-step explanation: you have to divide it

The value of third consecutive odd is 23

• In Mathematics, algebra is a branch which only deals with symbols and the rule for  the manipulation of these symbols. Algebra is divided into different sub branches such as advanced algebra, linear algebra, elementary algebra, abstract algebra etc.

• The basics of algebra contains numbers, variables, constants, expressions and equations. The basic four operations of algebra are addition, subtraction, multiplication, division.

Let the first consecutive odd integer be x

Second consecutive integer = x+2

Third consecutive integer = x+4

We are given that

First + third = 5(Second) – 63

x + x + 4 = 5 (x+2) -63

2x + 4 = 5x +10 -63

-3x = -57

3x = 57

x = 19

First Consecutive odd = 19

Second Consecutive odd = 21

Third Consecutive odd = 23

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The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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The length of the other leg of the right triangle is; 89.44 centimetres

According to the question;

By the Pythagoras theorem;

Hence, It follows that;

Find the square root of both sides of the equation;

x = 89.44 centimeters

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Answer:

0.53 mph

Step-by-step explanation:

A cyclist travels 8 miles in 15 minutes.

So the average speed is

=8/15 mph

=0.53 mph

Answer:

The diagram is omitted--please sketch it to confirm my answer.

Set your calculator to degree mode.

\( \tan( \alpha ) = \frac{110}{450} \)

\( \alpha = {tan}^{ - 1} \frac{11}{45} = 13.74 \: degrees\)

The angle of elevation is 13.74°.

16 × 40 = 640

Therefore, 40 miles is 640 kilometers.

Answer:

Ans c is right ans of this question

Answer:

ys answer 1,0 lie on the middle point circles

Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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The body mass index of a person 65 inches tall with a weight of 175 pounds is 29.12

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The body mass index (BMI) is given by:

BMI = [mass in pounds / (height in inches)²] * 703

Given mass = 175 pounds, height = 65 in, hence:

BMI = [175/65²] * 703 = 29.12

BMI = 29.12

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198, 714

a. What digit is in the ten thousands place? - 9

b. Which place is used to decide which way to round the ten thousands place? - thousands place

c. What is the digit in this place? - 8

d. Should you round the number in the ten thousands place up or down? - UP

e. What happens when you round up a 9? - It becomes 10.

f. What do you do when the value of a place is 10 or more? - The number becomes 0 and we add 1 to the next place to the right.

g. What is the value of the ten thousands place when the number is rounded to the nearest ten thousand? 100,000

h. What is 198,714 rounded to the nearest ten thousand? - 200,000

i. What is 302,895 rounded to the nearest thousand? - 303, 000

j. What is 7,142 rounded to the nearest ten? - 7, 140

k. Round 24,793 to the nearest hundred? - 24, 800



Answer:

75.609

Step-by-step explanation:

75 would be before the decimal, since it's a whole number.

609/1000 would be 0.609

609/1000 =  .609

75 + 0.609 =  75.609

So, '75 609/1000 as a decimal' would be 75.609.

Answer:

75 .609

Step-by-step explanation:

75 is the whole number

609/1000 as a decimal is .609

75 .609

Answer:

A) ∠ABD is a right angle.

E) m∠ABD = 90°

Step-by-step explanation:

just took the test

∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that,

Angle A B D is a right angle.

The right angle is a 90-degree angle.

So,

m∠ABD = 90°

Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".

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Answer:

B (1/2,-2)

Step-by-step explanation:

4b + 13c = -24 --(1)

12b - 5c = 16 --(2)

(1)x3

12b + 39c = -72 --(3)

(3)-(2)

12b + 39c - 12b + 5c = -72-16

c = -2

Sub c = -2 into (1)

4b = -24 - 13(-2)

b = 1/2

Answer:

b

Step-by-step explanation:

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

A. Greater than its adjacent interior angle. The measure of an exterior angle of a triangle is always C. greater than either remote interior angle.

An exterior angle is formed by extending one side of a triangle. In a triangle, the exterior angle is equal to the sum of the two remote interior angles (the two angles that are not adjacent to the exterior angle).

Therefore, the exterior angle will always be greater than either one of the remote interior angles.

The exterior angle theorem states that when two sides of a triangle are adjacent, the resulting exterior angle is equal to the sum of the degrees of the two interior angles of the triangle. This theorem can be used to find the measure of an unknown angle in a triangle.

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Answer:

I think it is 315 but I might be wrong

Step-by-step explanation:

44.6% of students do not participate in a sport. To find the percentage of students who do not participate in a sport, we need to use the data from the table.

First, we can calculate the total number of students who participate in a sport by adding the numbers in the "Yes" column to the "Participates in a Sport" row. This gives us a total of 620 + 450 = 1070 students who participate in a sport.

Similarly, we can calculate the total number of students who participate in a club by adding the numbers in the "Yes" column to the "Participates in a Club" row. This gives us a total of 620 + 450 = 1070 students who participate in a club.

To find the total number of students who do not participate in a sport, we need to subtract the number of students who participate in a sport from the total number of students. This gives us a total of 1930 - 1070 = 860 students who do not participate in a sport.

Finally, we can calculate the percentage of students who do not participate in a sport by dividing the number of students who do not participate in a sport by the total number of students and multiplying by 100 to get a percentage.

Percentage of students who do not participate in a sport = (860/1930) x 100% = 44.6%

Therefore, the percentage of students who do not participate in a sport is 44.6%.

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The value of (a) r that make sense is 6 in. and (b) the value of A that make sense is 113.1 in²

You should understand that the pizza is fit inside the square box making all circumference of the circle to touch all the sides of the square box

The quadratic function reads

A= πr²

Where A= Area of circle,

π = 22/7

and r= radius of the circle

A= (22/7)*6

Width of the box is 12

Therefore 12/2 = r=6

A= (22*6*6)/7

A=113.1 in²

In conclusion, he value of (a) r that make sense is 6 in. and (b) the value of A that make sense is 113.1 in²

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Answer:

The correct option is;

C. The panthers lost 3 yards on the 3rd play

Step-by-step explanation:

Given that the graph's y-axis represents the number of yards the Panthers traveled, and the x-axis represents the play number, then we have;

The coordinates of the point A are (3, -3) which shows the following;

x-coordinate = Number of play = 3rd play

y-coordinate = Number of  yards the Panthers traveled = -3 yards = Loss of 3 yards

The combined meaning of the point A is that the Panthers went back (lost) 3 yards on the 3rd play.