The sum of four consecutive
integers is 94. Find the integers.

Answers

Answer 1

Answer:

22, 23, 24, and 25.

Step-by-step explanation:

The sum of four consecutive integers is 94, and we want to determine the integers.

Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).

They sum to 94. Hence:

[tex]\displaystyle x + (x+1) + (x+2) + (x+3) = 94[/tex]

Solve for x. Combine like terms:

[tex]4x + 6= 94[/tex]

Subtract:

[tex]\displaystyle 4x = 88[/tex]

And divide. Hence:

[tex]\displaystyle x = 22[/tex]

Therefore, the first term is 22.

Then the four integers are 22, 23, 24, and 25.


Related Questions

help me do this please!

Answers

Answer:

m<ABD = 37°

m<DBC = 58°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x + 23 + 9x — 5 = 95

11x + 18 = 95

     -18     -18

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

11x = 77

/11      /11

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

x = 7

Now, plug this into the equation for m<ABD and m<DBC to find their values.

m<ABD = 2x + 23

= 2(7) + 23

= 14 + 23

= 37

m<DBC = 9x — 5

= 9(7) — 5

= 63 – 5

= 58

Now, check to see if our values are right or not.

2x + 23 + 9x — 5 = 95

2(7) + 23 + 9(7) — 5 = 95

14 + 23 + 63 – 5 = 95

100 – 5 = 95

95 = 95 CORRECT

Help please hurry I don’t have much time!!!

Answers

Answer:

The correct answer is D

Take D

Y varies directly with x and y=8 when x=-5

Answers

Answer:

Y=K×X...... equation

When,Y=8 and X=-5

To find the constant (K)

we substitute for K in the equation

8=K×-5

8=-5K divide both sides by -5

8÷-5=-5K÷-5

K=-1.6

A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?

Answers

Answer:

ANSWER 5.3 miles

See IMAGE FOR SOLUTION

Miguel reads that the average low temperature today is −4.2°F and that the average high temperature is 9.1º F.

Miguel plots the points on the number line to determine the temperature change between these two readings.

What is the temperature change?

° F

Answers

Answer:  13.3

Step-by-step explanation:

took on k12 :]

The change in today's temperature between the two readings as measured by Miguel is 13.3°F

Miguel's temperature readings :

Average low temperature = -4.2°F

Avetage high temperature = 9.1°F

The change in temperature is the difference between the two temperature readings :

Average high temperature - Average low temperature

(9.1 - (-4.2))°F

(9.1 + 4.2)°F = 13.3°F

Hence, the change in temperature reading = 13.3°F

Learn more : https://brainly.com/question/2610134

(X + ____ ) ^2 = _____

Answers

Answer:  1/4 first box  33/16 second box

Step-by-step explanation:

look at pictures for AnSwEr

Brandy makes $102 for a eight hour shift at a weekend job how much will he get paid for 30 hours

Answers

Answer:

Brandy would be payed $450 for 30 hours

Step-by-step explanation:

102÷8= 15

15×8= 102

15 dollars is what he makes hourly

30 hours× 15= 450

The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.

Answers

9514 1404 393

Answer:

3/4vertical: 18 in; horizontal: 24 inno change

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.

Answers

Answer:

b and c

Step-by-step explanation:

b is obvious since you can just plug In a point to solve

but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.

2 A car transporter can carry 13 cars. How many transporters are needed for 340 cars? ​

Answers

27 transporters

340
––– = 26.1538
13

But u can’t have a 1538th if a car is u round up to 27

Pls give me a brainliest if this helped thx

Answer:

27 car transporter

Step-by-step explanation:

Number of cars a car transporter can carry= 13

Number of cars there=340

number of transporters needed= 340÷13

= 27

Select all of the answers that are elements of M = {x | x is a month of the year}

Answers

Step-by-step explanation:

M={January, February, March, April, May, June, July, August, September, October, November, December}

FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!

Find u.


A. 2√2

B. 2

C. 4

D. √2

Answers

Answer:

u=2 root 2

Step-by-step explanation:

All 45 45 90 degree triangles follow the same pattern

I don’t understand this I don’t know if I’m supposed to draw or what ?

Answers

Your supposed to explain.

9 * (-3/5) ^5


evaluate

pls help :)

Answers

Answer:

[tex] - \frac{2187}{3125} [/tex]

Step-by-step explanation:

[tex]9 \times ( \frac{ - 3}{5} )^{5} [/tex]

[tex]( \frac{ - 3}{5} {)}^{5} = \frac{( - 3 {)}^{5} }{ {5}^{5} } [/tex]

[tex] \frac{ - 243}{ {5}^{5} } = - \frac{ 243}{3125} [/tex]

[tex] - 9 \times ( - \frac{243}{3125} )[/tex]

[tex] = - \frac{2187}{3125} [/tex]

can anyone help me out with this one?

Answers

a(n)=a1 + (n-1)d
a1=12
d=5-12=-7
a(n) = 12+(n-1)(-7)

Please help me with number 1 please help ???

Answers

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in

Answers

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

Help please asap first answer get brainliest
Beging you please

Answers

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

Answers

A=1/2H(b1+b2)
1800= 1/2h(50+40)
1800=1/2h(90)
1800=90h
h= 20
So the width is 20 meters

In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every 2 coaches. If the total number of players and coaches in the two clubs is 232, how many players and coaches are in each club?

Answers

9514 1404 393

Answer:

Tigers: 8 coaches, 72 playersEagles: 16 coaches, 136 players

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

  10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.

Math is?

At least 5 sentences

Answers

Answer:

1.The subject which we learn calculation multiplies devide substation etc.

2.Math is a kind of subject which we can practice more from this subject.

3.Math is an example of life process because if we are talent in math then we can solve the many kaild of problem related in our life..

4.Math also help as to increase our bran pour of we try to solve hard to hard problem..

Think you at last math is importent to as

Halo
please help me

Answers with Solution, ok?

Answers

MATHEMATICS // ANSWER

The correct answer is letter C. 75. 36m³ :)

Here's the Solution:

V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³

HOPE THIS HELPS. GOODLUCK:)

The answer is C.75.36m^3

5. Given the exponential function f(x) = 4(3)*, find f(0) and f(1).
O A. f(0) = 4; f(1) = 12
O B. f(0) = 4; f(1) = 36
O C. f(0) = 12; f(1) = 36
O D. f(0) = 12: f(1) = 4

Answers

Answer:

C

Step-by-step explanation:

The answer is C

Chris rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 85 cents for each mile driven. Chris had to pay $183.15
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

he drove 192 miles

Step-by-step explanation:

why bc I did 0.85 x 192= 183.15

so that makes 192 the miles Chris drove

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?

0
1
2
unable to determine

Answers

I believe there is only one answer

find the area of point b??

Answers

Answer:

78.5 in^2

or

506.7 cm^2

Step-by-step explanation:

r = 5 in = 12.7 cm

Area of circle

[tex] = \pi \times {r}^{2} [/tex]

if x = 5, y = 6, and z= 2, is V x2 + y2 + z2 + 50
rational or irrational? Explain.

Answers

Answer:

irrational

Step-by-step explanation:

because

5² + 6² + 2² + 50 = 25+36+4+50 = 115

and 115 is not a squared integer or rational number, so that sqrt(115) is one of these numbers with infinite digits after the decimal point but without any repeating pattern.

and that is per definition irrational.

Which would you measure using inches?
height of a flagpole
length of a driveway
length of a cross-country race course
length of a pen

Answers

Answer:

Length of a pen

Step-by-step explanation:

Because it is comparatively smallest than other,

and we use inches method to measure smaller length.

Length of a pen because it’s the smallest object in the list

19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these​

Answers

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

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