help!!

a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply

Help!!a Teacher Asks Five Students To Write An Equation With A Solution Of X= 4 . The Students And Their

Answers

Answer 1

Answer:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Step-by-step explanation:

Required

Which equals [tex]x = 4[/tex]

[tex](a)\ 2x + 6 = 2[/tex]

Collect like terms

[tex]2x = 2 - 6[/tex]

[tex]2x = -4[/tex]

Divide both sides by 2

[tex]x = -2[/tex]

[tex](b)\ 2x - 9 = -1[/tex]

Collect like terms

[tex]2x = -1 + 9[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

Collect like terms

[tex]-2x =- 12 + 4[/tex]

[tex]-2x =-8[/tex]

Divide both sides by -2

[tex]x = 4[/tex]

[tex](d)\ 2(x + 2) = 10[/tex]

Divide both sides by 2

[tex]x + 2 =5[/tex]

Collect like terms

[tex]x = 5-2[/tex]

[tex]x = 3[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Divide both sides by 2

[tex]x - 10 = -6[/tex]

Collect like terms

[tex]x = 10 - 6[/tex]

[tex]x = 4[/tex]

Hence, the equations with the required solution are:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]


Related Questions

Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. Deacon must spend no more than the $75 gift card he has.

Which inequality matches the situation?

Answers

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

So,

Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee

75 ≥ (12.95)(a) + 4.95

12.95a + 4.95 ≤ 75

Info Details Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 22 of the 63 boxes on the shelf have the secret decoder ring. The other 41 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring

Answers

Answer:

0.1183 = 11.83% probability that both of them have the secret decoder ring.

Step-by-step explanation:

The boxes are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

63 boxes means that [tex]N = 63[/tex]

22 have the secret decoder ring, which means that [tex]k = 22[/tex]

Two are selected, which means that [tex]n = 2[/tex]

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,63,2,22) = \frac{C_{22,2}*C_{41,0}}{C_{63,2}} = 0.1183[/tex]

0.1183 = 11.83% probability that both of them have the secret decoder ring.

ratio of 5 cm to 25 cm.
C/
2.​

Answers

Answer:

1:5

Step-by-step explanation:

5/5 and 25/5

so 1:5

what is the volume of the triangular prism with b=7in, h=5in and H=12.7in?

Answers

Answer:

444.5 in³

Step-by-step explanation:

This is a quite interesting question.

Here are some formulas to help you,

Volume= L*b*h

Height = Volume/ L*b

Length= Volume/h*b

Breadth= Volume/l*h

For this question, we will consider the first formula.

Volume= Length* Breadth* Height

Volume= 5 in * 7 in * 12.7

Volume= 444.5 in³

Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square

Answers

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

https://brainly.com/question/13057463

#SPJ2

A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence

Answers

Answer:

A sample of 6758 would be needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

What is the period of y=4cos5x

Answers

you take 2pi and divide it by bits stolen from the equation its explained more in the screennshot

Find the indicated side of the
right triangle.
60°
х
7
30°
x = [?]
Enter

Answers

Here's the solution,

By using Trigonometry :

=》

[tex] \sin(30) = \dfrac{7}{x} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]

=》

[tex]x = 14[/tex]

hence, the value of x = 14 units

Answer:

14

Step-by-step explanation:

Which term has the definition "A solid that is perfectly symmetrical, has no edges, and
one surface"?

Answers

Circle that is the answer of the question

Please help!!!!!!!!!!!!

Answers

Answer:

the answer is c

Answer:

c

Step-by-step explanation:

make them improper fractions and add them later when you get your answer make it to a proper fraction

What is the measure of the unknown acute angle in this right triangle?

Answers

Answer:

The answer is 54

Step-by-step explanation:

36+90=126

180-126= 54

Answer:

54 degrees

Step-by-step explanation:

1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34

Answers

Answer:

What should we do the question pls

A dealer bought a refrigerator for $ 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked price of the refrigerator.​

Answers

Given:

Cost price of refrigerator = $11515

Discount rate 16% on its marked price.

Profit = 20%

To find:

The marked price of the refrigerator.​

Solution:

The cost price (C.P.) is $11515 and the profit percent is 20%. So, the selling price is:

[tex]S.P.=C.P.+20\%\text{ of }C.P.[/tex]

[tex]S.P.=11515+\dfrac{20}{100}(11515)[/tex]

[tex]S.P.=11515+2303[/tex]

[tex]S.P.=13818[/tex]

Let x be the marked price of the refrigerator.​ Then,

[tex]S.P.=x-16\%\text{ of }x[/tex]

[tex]13818=x-\dfrac{16}{100}x[/tex]

[tex]13818=x-0.16x[/tex]

[tex]13818=0.84x[/tex]

Divide both sides by 0.84.

[tex]\dfrac{13818}{0.84}=x[/tex]

[tex]16450=x[/tex]

Therefore, the marked price of the refrigerator is $16450.

PLEASE HELP————————-

Answers

I think I know one of them, angles 1 and 5 are vertical

raíz cuadrada de 28 más raíz cuadrada de 7 + 35 sobre raíz cuadrada de 7​

Answers

Answer:

21.1660104885

Step-by-step explanation:

Tuve que buscarlo, no lo sabía

Which rational number is the opposite of 1.7? Select all that apply.
-1 7/10
-1.7
1 7/10

Answers

Answer:

-1 7/10 and -1.7

Step-by-step explanation:

!NO LINKS, NO FILES!

please :)

Answers

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

I need help with this if you’re right I will mark you as brainlest

Answers

Answer:

try 1.8 or .18

Step-by-step explanation:

A triangle has an area of 144 square feet. The height is 24 feet. What is the length of the base(in feet)?​

Answers

Answer:

Base = 12

Step-by-step explanation:

Because

24 x 12 = 288 divide by 2 and you get are area 144

The formula for the area is: base multiply with the height then divide by two (h.b/2)
So we have: h.b/2=Area
24.b/2=144
24.b=144.2
24.b=288
b=288/24= 12
So the base is 12

The 4th grade class experienced a 15% decrease in enrollment. Last year, the 4th grade class had 280 students. How many students are enrolled in the 4th grade class this year?

Answers

There are a lot of ways to solve this, but here is a simple one. 15% reduction gets you 85%, or 0.85 in decimal form. So you now know that this year’s 4th grade class is going to be 85% or 0.85 of what it was last year (280). Just multiply 280*0.85. 238 is your answer.

Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

Find the angular size of a circular object with a 1-inch diameter viewed from a distance of 4 yards.
The angular size of the object is Iº.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

Answer:

0.40°

Step-by-step explanation:

4 yards = 4*36 in = 144 in

Angle is x

tan(x/2) = 1/2 * 1/144x/2 = arctan (1/288)x /2 = 0.1989428794619145°x = 2*0.1989428794619145°x = 0.39788575892° x = 0.40° (rounded)

!NO LINKS, NO FILES!

please :)

Answers

Answer:

132

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base and h = height

The following triangle has a base length of 33 m and a height of 8 m

Using this information we plug in the values into the formula

[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]

hence, the area of the triangle is 132 square meters


A large fish tank measures 24 x 12 x 16 inches. If the tank is filled to the top, how much water will fill the tank?

Answers

Answer:

4608

Step-by-step explanation:

24 x 12 x 16 = 4608

I will give you Brainliest and 500 points if you do this please

Answers

Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

Set up an equation:

Variable x = area of ft^2 for 1 gallon of paint

0.25/24 = 1/x

Cross multiply

0.25 × x = 24 × 1

0.25x = 24

To make calculations easier, you can convert the decimal into a fraction: 0.25 = 1/4

1/4x = 24

Multiply both sides by 4

1x = 96

x = 96 ft^2

Check your work:

0.25/24 = 1/96

0.25 × 96 = 24 × 1

24 = 24

Correct

PLease give me answer ASAP

Answers

Answer:

             

Step-by-step explanation:

Answer:

the answer is get noob..........

how do you do this I really need some help!please ​

Answers

Answer:

It is correct for 5. Incorrect for 6. Lastly, correct for 7.

Answer:

yes

no

yes

Step-by-step explanation:

you plug in the 3 into the x, because x=3 so therefore 3+5>7 which becomes 8>7. Is 8 more than 7? yes! so its true. For the next, 7>12, thats not true. And for the last one, 10-7<5, so 3<5, which is true.

send answers plssssssss

Answers

Answer:

Cant see picture

Step-by-step explanation:

F(6) = 2(6)^2 + 5 sqrt(6-2)

Answers

Answe well this look complicated gimme some time

Step-by-step ex

What is the probability of drawing a blue gumdrop from a candy jar if it contains 6 green, 7 yellow, 1 white and 4 blue gumdrops?

Answers

2:9

Explanation:
4 : 18
There are 4 blue marbles out of a total of 18 marble. 4 and 18 are both divisible my 2 so you reduce it to get 2:9.

Please explain step by step I dont get it.

Answers

Answer:

The answer to this is 47.5 degrees.

Step-by-step explanation:

To find the missing angle of a triangle, you must first understand what the known angles are. For this triangle you have 2 angles already known, the 42.5 degree angle, and the 90 degree angle. An angle will always be 90 degrees if it has that little square. When a triangle has a single 90 degree angle, that triangle will be a right triangle. the following angles will add up to 90 degrees, and so you can just take 90 and subtract 42.5 from it, to find the missing angle length of 47.5 degrees.

Hopefully this answers your question fully, if you need any more help just comment on this :)

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