Which inequality represents the values of x that ensure triangle ABC exists?

A.
0.5 < x < 7.5
B.
3.0 < x < 7.5
C.
-0.5 < x < 7.5
D.
-3.0 < x < 7.5

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ [tex]x = \frac{90}{7}[/tex] =$12.85

Therefore,

[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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Answer:

2x +3x- 5= 0

5x-5=0

5x=0+5

5x=5

x=5÷5

x=1

Answer     for 2020:  loan maturity in days 125

                                   Actual Interest is $164.90

Step-by-step explanation:

loan x Interest x Time (in days =Total interest

the simple interest on the loan is approximately $161.28.

To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.

The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.

The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.

Using the formula for simple interest: Interest = Principal x Rate x Time

Interest = $5350 x 0.09 x 0.3333 ≈ $161.28

Therefore, the simple interest on the loan is approximately $161.28.

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Answer:

The answer is 20 hope this helps

Step-by-step explanation:

22.5 divided by 2.5 = 20

Answer:

90

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator (bottom number of the fraction), you must also multiply to the numerator (top number of the fraction).

In this case, you are multiply 10 to both the numerator and denominator, as:

100/10 =10

Multiply 10 to the numerator:

? = 9 * 10

? = 90

90 is your answer.

~

Since the fractions are equivalent to each other, they must have the same simplified value. It means they can be multiple or divisor of each other.

Here, we have to find the numerator of the second fraction for which we have to multiply with the same number with which we multiplied the denominator.

➝ 10 × 10 = 100

The denominator was multiplied with 10, So the numerator will be multiplied with 10 too.

➝ 9 × 10 = 90

➝ [tex] \dfrac{9 \times 10}{10 \times 10} = \dfrac{90}{100} [/tex]

Thus, the required numerator is 90

Carry On Learning !

Answer:

[tex] \frac{28}{3x - 1} = \frac{24}{x + 7 } \\ 24(3x - 1) = 28(x + 7) \\ 72x - 24 = 28x + 196 \\ 72x - 28x = 24 + 196 \\ 44x = 220 \\ x = 5[/tex]

Answer:

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Step-by-step explanation:

Hope this helped mark me as brainliest (:

Answer: Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers

Step-by-step explanation:

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

==========================================

Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

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The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

The  four terms of the arithmetic sequence with a first term of 37 and a common difference of 9 are: 37, 46, 55, and 64.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant.

Given:

First term (a1) = 37

Common difference (d) = 9

The arithmetic sequence can be represented as follows:

[tex]a_1[/tex]= 37

[tex]a_2[/tex] = [tex]a_1[/tex] + d

    = 37 + 9 = 46

[tex]a_3[/tex] = [tex]a_2[/tex] + d

   = 46 + 9 = 55

[tex]a_4[/tex] = [tex]a_3[/tex]+ d

   = 55 + 9 = 64

So, the first four terms of the arithmetic sequence are: 37, 46, 55, and 64.

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Answer:

[tex]y=\frac{3}{7} x+\frac{41}{7}[/tex]

Slope is 3/7

Step-by-step explanation:

y-5+5=3/7x+6/7+5

y=3/7x+41/7

Answer:

a which is -2

Step-by-step explanation:

that's the answer

Answer:

5+2n=7

Step-by-step explanation:

5+2n=7

7-5=2n

2=2n

2÷2=1

n=1

Answer:

I think its 12.3 years

Step-by-step explanation:

a fifth of 775 is 155 and 155 x 12.3 = 1850

Answer:

6

Step-by-step explanation:

12x + 3 = 11x + 9 because these two angles are corresponding angles

12x - 11x = 9 - 3

x = 6

Step-by-step explanation:

0.04 is ur answer ..........

Answer:

(x+7)÷5

Step-by-step explanation:

since the number is unknown, it becomes X. Because we first add 7 then divide by 5, the expression will be a bracketed (X+7), followed by the division by 5. This makes sense because of the BODMAS rule to which, in coherence with the BODMAS rule, we first solve the expression in the brackets then move on outside them.

Answer:

2x+13=4x-1

2x=14

x=7

another solution

2x+13=-(4x-1)

2x+13 =-4x+1

6x=-12

x =-2

so solutions are 7,-2

9514 1404 393

Answer:

  5.5 hours

Step-by-step explanation:

The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:

  (22 h)(1/4) = 22/4 h = 5.5 h

It would take 5.5 hours to fill the order.

Answer:

5.5

Step-by-step explanation:

it is 5.5 because

22 divided by 4 is 5.5

the answer is 5.5

in my class it says increased by 2 not 4

so my answer is 11

because 22 divded by 2 is 11

Answer:

The answer is 76

Step-by-step explanation:

I just divided 266 by 3.5  - *I used a calculator*

9514 1404 393

Answer:

  A)  Positive (4, 2, 0), negative (0)

Step-by-step explanation:

Descartes' rule of signs tells you the number of positive real roots is equal to the number of sign changes in the coefficients (with allowance for an even number of roots possibly being complex).

The signs of the coefficients are ...

  - + - + -

so there are 4 sign changes. The number of positive real roots will be 4, 2, or 0.

__

Changing the signs of odd-degree terms, you can use the same method to determine the number of negative real roots. With those signs changed, the signs of the coefficients are ...

  - - - - -

so there are 0 sign changes. The number of negative real roots is 0.

_____

The graph shows there are no real roots of either sign. All the roots are complex.

Answer:

I hope this helps

Step-by-step explanation:

carbonhydrates protein water fats minerals and vitamins

Answer:

Part B:

His measure is incorrect because the interior angles of every triangle result up to 180°. His measures (50+90+38) added up to 178; so his measures are false.

Answer:

$10 Its asking how much you had not how much was given to you. So the answer is you had 10

I have $150

In order to determine the amount you have, add the amounts you are given to the original amount. This is because the money you have increases by the amounts you are given

Total sum of money = amount you have + amount given by mum +  amount given by dad +  amount given by uncle and aunt

$3 + $10 + $30 + $100 + $7 = $150

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Answer:

4 cookies

Step-by-step explanation:

2+2+=4

Answer:

I do believe that it is 4.

Step-by-step explanation:

They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4

Answer:

14.875

Step-by-step explanation:

77/8 = 9.625 and 21/4 = 5.25

So, 9.625+5.25 =14.875

Answer: 10  1/8

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