Solve the following
equation:
8(x – 3) + 15 = 55


X=4
X=8
No solution
Infinite solutions

Answer:

61.92

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

61.92

Step-by-step explanation:

Answer:

a) The inequality representing the number of cases he can take =

180 + 47c ≤ 2700

b) 53 cases

Step-by-step explanation:

A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift

has a weight limit of 2700 pounds

a) Write an inequality that describes the number of cases he can safely take on each trip.

Let us represent the number of cases as c

hence,

180 + 47 × c ≤ 2700

= 180 + 47c ≤ 2700

b) What is the maximum amount of cases he can take?

The maximum amount of cases he can take =

180 + 47c ≤ 2700

180 + 47c = 2700

Collect like terms

47c = 2700 - 180

47c = 2520

c = 2520/47

c = 53.617021277 cases

c = 53 cases

The maximum number of cases he can carry is 53 cases

The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.

Future value is calculated as:

= Amount x (1 + rate) ^ number of years

If the number of years is to be found and the future value is already known, then the number of years can be x:

600 = 400 x (1 + 3%) ^ number of years

600 = 400(1.03)^x

Find out more on future value at https://brainly.com/question/24703884.

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Answer:

578 miles

Step-by-step explanation:

In order to solve this problem, we need to first calculate how many miles the car can travel on a single gallon of gas. To do this we simply divide the 476 miles that the car travelled by the 14 gallons it used to do so.

476 miles / 14 gallons = 34 miles per gallon

Now, we can see that car can travel 34 miles for every gallon of gas it uses. Therefore, in order to calculate the distance, it can travel on 17 gallons, we simply multiply 34 miles by the 17 gallons we will use like so...

34 miles * 17 gallons = 578 miles

Step-by-step explanation:

2x + 90 + x = 180

Subtract 90 from both sides

you get 3x = 90

Devide

[tex] \frac{3x}{3} = \frac{90}{3} \\ x = 30[/tex]

Answer:

235

Step-by-step explanation:

Answer: 9in - 9in

Step-by-step explanation: I believe the answer is 9in - 9in because 3in3 -in9 = 3in x 3 - in x 9 = 0 which comes out to 9in - 9in

Answer:

Inter milan had 24 wins, 10 draws and 4 losses.

Step-by-step explanation:

Let n₁ = number of wins, n₂ = number of draws and n₃ = number of number of losses. Let W = win points = 3, L = loss points = 0 and D = draw points = 1 Since we have our total number of points a 82, then

n₁W + n₂D + n₃L = 82

3n₁ + n₂ + 0n₃ = 82   (1)

Also, since there are 38 points in total, we have that

n₁ + n₂ + n₃ = 38    (2)

Also, we have 20 more win points than loss points. So,

n₁ = n₃ + 20

n₁ + 0n₂ - n₃ = 20 (3)

We have 3 equations. We now write them in matrix form below.

[tex]\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] \left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] = \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]

In the form AX = B, where A =  

[tex]A =\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] , X =\left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] and B= \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]

Using cramer's rule, n₁ =

[tex]det\left[\begin{array}{ccc}82&1&0\\38&1&1\\20&0&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 82((-1 × 1) - 0 × 1) - 1((38 × -1)- (20 × 1)) + 0((38 × 0) - 20 × 1) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-82 + 58 + 0)/(-3 + 2 + 0)

=  -24/-1

= 24

n₂ =

[tex]det\left[\begin{array}{ccc}3&82&0\\1&38&1\\1&20&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 3((38 × -1)- (20 × -1)) - 82((-1 × 1) - 1 × 1)  + 0(20 × 1 - (38 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-174 + 164 + 0)/(-3 + 2 + 0)

=  -10/-1

= 10

n₃ =  

[tex]det\left[\begin{array}{ccc}3&1&82\\1&1&38\\1&0&20\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 3((1 × 20)- (0 × 38)) - 1((1 × 20) - 1 × 38)  + 82(1 × 0 - (1 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (60 + 18 - 82)/(-3 + 2 + 0)

=  -4/-1

= 4

So, Inter milan had 24 wins, 10 draws and 4 losses.

Answer:

its mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

Answer:

2x - y = 4

Step-by-step explanation:

The base line is 2x + 4y = 1.  To obtain a general formula for lines perpendicular to this "standard form" equation, interchange  and y and replace the '1' with 'C:'

2y - 4x = C

Since the line in question passes through the point (6, 8), we substitute 8 for y and 6 for x, obtaining:

2(8) - 4(6) = C.  Then C = 16 - 24, or  = -8.

The desired equation is

2y - 4x = -8, or

4x - 2y = 8, or (after reduction)

2x - y = 4

Answer:

$787.50

Step-by-step explanation:

[tex] \frac{75}{100} \times 450 =337.50[/tex]

[tex]337.50 + 450 = 787.50[/tex]

i think this is the answer

Answer:

$600 is the original price

Step-by-step explanation:

Answer:

I believe the answer is A.

Step-by-step explanation:

Correct me if im wrong plz thanks

Answer:

I think the answer is A

Answer: x = [tex]\sqrt{5} , -\sqrt{5}[/tex] , and 2

Step-by-step explanation:

in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5

so, x^2(x-2)+5(x-2)

some rule out there says you can simplify this to

(x^2+5)(x-2)

to find the zeroes, set it equal to zero

(x^2+5)(x-2) = 0

you can split up the pairs of parenthesis to equal 0

(x^2+5) = 0

(x-2)=0

find x for both equation and you end up with [tex]\sqrt{5} , -\sqrt{5} , and 2[/tex]

Answer:

HI

Step-by-step explanation:

HI

Answer:

20

Step-by-step explanation:

Answer:

Amount to be needed = 3/8

Step-by-step explanation:3/4 pound of dried apples to 1/2 pound of pears

3/4 : 1/2

Amount of dried apples to be needed per pound of dried pears = ??

Therefore, 3/4×1/2 = 3/8

Answer:

slope=1/2, y-int=-1

Step-by-step explanation:

y=mx+b

m=1/2

b=-1

Answer:

None of the above

Step-by-step explanation:

Answer:

the picture isn't loading :(

Step-by-step explanation:

Answer:

Step-by-step explanation:

You didn't give the options but let me try help out.

From the question, we are informed that Francis had math homework 18 out of the 30 days in the month.

For us to get the value that is equivalent to the fraction of days she had math homework, we can reduce the fraction to its lowest term. Therefore,

18/30 = 2/5

2/5 is an equivalent fraction.

Answer:

m=-1

Step-by-step explanation:

-(4+m)+2=m

-2-m=m

-2=2m

m=-1

Answer:

A (also c if it is 1000 rather than 100)

Step-by-step explanation:

Interior angles in a triangle add up to 180°

Answer:

15.625

Step-by-step explanation:

It's a ratio, just divide 192(Box A volume) by 8(Box A length) to get a third number(24) you then use that number to divide Box B's volume. 375/24 is 15.625

Answer:

it equals 10

Step-by-step explanation:

Answer:

28.7 feet

Step-by-step explanation:

The equation of a parabola is in the form:

[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]

The bridge can be represented as:

Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41

[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]

The arch is 28.7 feet from its center

Answer:

lemon cremes contain 70 calories. fudge cookies contains 95 calories

Step-by-step explanation:

Let x represent the amount of calories in lemon cremes.

Let y represent the amount of calories in fudge cookies.

Three lemon cremes plus two fudge cookies have 400 calories. This means that

3x + 2y = 400 - - - - - -- - - - -1

Two lemon cremes plus three fudge cookies have 425 calories. This means that

2x + 3y = 425- - - - -- - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 4y = 800

6x +9y = 1275

Subtracting,

-5y = - 475

y = - 475/- 5

y = 95

Substituting y = 95 into equation 1, it becomes

3x + 2×95 = 400

3x = 400 - 190 = 210

x = 210/3 = 70

x = 70

Answer:

96,470,000

Step-by-step explanation:

10^7=10,000,000

10,000,000 * 9.647= 96,470,000

Hope this helps!