Marta's fruit stand sold x oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108.
Which bar diagram represents the equation?

Answer:

solution is

y + 3 = 3(x - 0)

y + 3 = 3x - 0

y = 3x - 3

The sales tax for an item priced at $70.00 with a tax rate of 3% is $2.10. This can be found by multiplying the selling price by the tax rate.

To find the amount of sales tax, you can multiply the selling price by the rate of sales tax. In your case, the selling price is $70.00 and the rate of sales tax is 3%. So, your calculation will look like this: $70.00 * 0.03 (because 3% is the same as 0.03 when used in a calculation). The result of this multiplication will be the amount of sales tax. So, the sales tax for an item which costs $70.00 at a tax rate of 3% is $2.10.

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Answer:

b)  √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5  x 5

⇒ 200  = (2)²  x (5) ²  x 2

Taking ROOT both sides, we get:[tex]\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}[/tex]

Hence,   √200 = 10√2

Answer:

B is the answer

Step-by-step explanation:

B for e2020

1.) Set the equation equal to each other

2.) Solve for y by itself and simplify the equation

3.) Solve for when x=0 to find the x-value

4.) Plug that x-value back into one of the equation to find the y-value.

If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

Solution:

Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

Complementary angles:

Complementary angles are two angles whose sum is 90 degrees

Therefore, if measure of one angle is given, then we can find the measure of another angle

Measure of another angle = 90 - measure of one angle

Example:

If x and y are complementary angles

Given that measure of angle x is 45 degrees

Then we can say,

According to complementary angles definition

x + y = 90

45 + y = 90

y = 90 - 45

y = 45

Thus measure of other angle y is found to be 45 degrees

Knowing the measure of one angle in a pair of complementary angles allows you to find the measure of the other angle because the sum of their measures is equal to 90 degrees.

Yes, you would be able to find the measure of the other angle. This is because in geometry, two angles are said to be complementary if the sum of their measures is equal to 90 degrees. Thus, knowing the measure of one angle allows you to find the measure of the other angle by subtracting the known angle from 90.

For instance, if you were told one angle measures 35 degrees and you know the two angles are complementary, you could calculate the measure of the other angle as follows: 90 - 35 = 55 degrees. So, the other angle measures 55 degrees.

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Answer:

x = 1

y =

Step-by-step explanation:

-2x + y=1

-4x + y=-1

-2 (2) x + (2) y = (2) 1 (multilply by 2)

-4x + y=- 1

-4x + 2y = 2

-4x + y = -1

minus side by

y = 3

x =

Answer:

(1, 3).

Step-by-step explanation:

-2x + y = 1

-4x + y = -1      Subtract :

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

-2x + 4x = 2

2x = 2

x = 1.

Substitute x = 1 in the first equation:

-2(1) + y = 1

-2 + y = 1

y = 1 + 2

y = 3.

Answer:

If u want to change fraction into percentage then multiply it with 100.for eg.83/90*100%

Answer:

diagonal is 14 m

Step-by-step explanation:

We are given;

We are required to determine the diagonal of the square.

We know that;

Area of a square = s²  , where s is the side of the square

Therefore;

s² = 98

Thus;

s = √98

To get the diagonal

s² + s² = diagonal squared

Hence;

Diagonal squared = (√98)² + (√98)²

                              = 98 + 98

                              = 196

Thus;

Diagonal = √196

               = 14 m

Thus, the diagonal is 14 m

Answer y=27

27 ice cream cones were sold

Answer:

(6,1), (9,-1)

Step-by-step explanation:

In points (6,1) and (9,-1) a right angle can be formed.

Answer:

[tex]Line\ passing\ through\ (-1.5,0)\ and\ (0,2).\\\\Correct\ graph\ is\ attached.[/tex]

Step-by-step explanation:

[tex]The\ given\ equation\ represents\ a\ line\\\\[/tex]

y-intercept:

[tex]Substitute\ x=0\\\\-4\times 0+3y=6\\\\3y=6\\\\y=\frac{6}{3}\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).[/tex]

x-intercept:

[tex]Substitute\ y=0\\\\-4x+3\times 0=6\\\\-4x=6\\\\x=-\frac{6}{4}\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).[/tex]

The correct graph is attached.

The angle of elevation is 2.17°

Step-by-step explanation:

First change value in miles to value in feet

1 mile =5280 ft

50 miles = 5280*50 =264000 ft

Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft

Tan Ф = O/A

          = 10,000/264000

           =0.03787878787

Tan ⁻(0.03787878787) = 2.17°

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Answer:

8.3776 this is the circumference

Step-by-step explanation:

Answer:

the answer is 100.48 yd

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]

Now, forming an inequality to determine weekly pay of Manuela.

⇒ [tex]15\times x- 125\geq 205[/tex]

⇒[tex]15x-125\geq 205[/tex]

Adding both side by 125

⇒[tex]15x\geq 205+125[/tex]

⇒[tex]15x\geq 330[/tex]

Divinding both side by 15

⇒[tex]x\geq \frac{330}{15}[/tex]

∴[tex]x \geq 22\ hours[/tex]

Hence, Manuela works at least 22 hours per week.

Answer:

Step-by-step explanation:

slope=y₂-y₁/x₂-x₁

[tex]\frac{8-2}{7-3}=\frac{6}{4}\\\\=\frac{3}{2}[/tex]

Answer:

The variance is 30698.6

Step-by-step explanation:

The billing rates for six dental procedures are listed below:

$663

$273

$410

$622

$174

$374

The mean is given by:

[tex]\bar X=\frac{663+273+410+622+174+374}{6}=\frac{2516}{6}=419.333[/tex]

The variance is given by:

[tex]\sigma^2=\frac{\sum(x-\bar x)^2}{n}[/tex]

[tex]\sigma^2=\frac{(663-419.333)^2+(273-419.333)^2+(410-419.333)^2+(622-419.333)^2+(174-419.333)^2+(374-419.333)^2}{6}[/tex]

[tex]\sigma^2=30698.56[/tex]

Therefore the variance is 30698.6

The variance for the given set of data points, which are billing rates for dental procedures, is $35439.73. The variance is calculated as the average of the squared differences from the mean.

The subject of this question is the variance, which is a statistical characteristic used in mathematics to measure how much individual numbers in a set diverge from the average. So, to find the variance for this given data follow these steps:

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Answer:

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

Step-by-step explanation:

The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.

Now, - 4 ≤ 3x - 1

⇒ 3x ≥ - 3

⇒ x ≥ - 1

And, 2x + 4 ≤ 18

⇒ 2x ≤ 14

⇒ x ≤ 7

Therefore, the solution will be 7 ≥ x ≥ - 1

Hence, the graph that shows the solution is  'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)

Answer:

Graph A is your answer.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

The fraction 8/12 simplifies to 2/3. The whole number is 0, and the unit fraction is 2/3, which can be expressed as the sum of two unit fractions, 1/2 and 1/6.

The fraction 8/12 can be simplified to a whole number and a unit fraction. First, divide both the numerator and denominator by their greatest common divisor, which is 4. This yields the simplified fraction 2/3. Thus, the whole number is '0' and the unit fraction is '2/3' as 2/3 is less than 1 and cannot be represented as a whole number. A unit fraction is a fraction where the numerator is '1'. Although 2/3 is not a unit fraction itself, it can be expressed as the sum of two unit fractions, '1/2 + 1/6'.

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The length of the corresponding arc of the larger circle = 54 ft.

Step-by-step explanation:

step 1 :

step 2 :

Small circle :

Arc length = (∅/360)2πr

where,

∅ = arc angle

π = 3.14

r = radius of circle

step 3 :

Arc length = (∅/360)2[tex]\times[/tex]3.14[tex]\times[/tex]30

⇒ 36 = (∅/360)[tex]\times[/tex]188.4

⇒ ∅ = 36[tex]\times[/tex]360 / 188.4

∅ = 68.79

step 4 :

Large circle :

Arc length = (∅/360)2πr

                 = (68.79/360) 2[tex]\times[/tex]3.14[tex]\times[/tex]45

Arc length = 54 ft

Answer:

[tex]c + 421 + 158 = 628[/tex]

[tex]c + 579 = 628[/tex]

[tex]c = 49[/tex]

Answer:

...................................../................................................................

Step-by-step explanation:

......................................................................................

Answer:

Step-by-step explanation:

Answer:

4/4-1/4 is 3/4 so 3/4 divided by 3 is 1/4 bag of peanuts per friend.

Step-by-step explanation:

To find the expression that represents the peanuts that each friend ate, start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 3/4. Divide the remaining peanuts equally among the 3 friends by dividing the fraction 3/4 by 3, which gives us 1/4. Therefore, each friend ate 1/4 of the peanuts.

To find the expression that represents the peanuts that each friend ate, we need to follow the steps:

Therefore, the expression that represents the peanuts that each friend ate is 1/4.

The amount deposited initially is $ 706.22

Solution:

The formula for amount using compound interest is given as:

[tex]A = p(1+\frac{r}{n})^{nt}[/tex]

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

From given,

t = 7 years

A = 1000

P = ?

[tex]r = 5 \% = \frac{5}{100} = 0.05[/tex]

n = 4 (since compounded quarterly)

Substituting the values we get,

[tex]1000 = p(1+\frac{0.05}{4})^{4 \times 7}\\\\1000 = p(1+\frac{0.05}{4})^{28}\\\\1000 = p(1+0.0125)^{28}\\\\1000 = p(1.0125)^{28}\\\\1000 = p \times 1.4159923\\\\p = \frac{1000}{1.4159923}\\\\p = 706.2185 \approx 706.22[/tex]

Thus amount deposited initially is $ 706.22

Answer:

No solution

Step-by-step explanation:

Replace occurrences of y in 4x - 2y = 14 with 2x - 6

y = 2x - 6

4x - 2 (2x - 6) = 14

Simplify left side

y = 2x - 6

12 = 14

Since 12 is not equals to 14, There is no solution

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

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[tex]\text{Hey there!}[/tex]

[tex]\mathsf{If\ b = 0\ then\ replace\ b\ in\ the\ equation\ with\ 0\ to\ make\ it\ easier\ to\ solve}[/tex]

[tex]\mathsf{New\ equation: 3(0)+ 14}[/tex]

[tex]\mathsf{3(0) + 14=\ ?}\\\mathsf{3(0) = 0}\\\mathsf{0+14=?}\\\mathsf{0+14=14}\\\boxed{\boxed{\bf{Answer:\mathsf{14}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

B = 0

You solved it thx for the points :v

Answer:

50

Step-by-step explanation:

Add the next odd number to get the next term

1

1+1=2

2+3 =5

5 + 5 = 10

10 + 7 = 17

17 + 9 = 26

26 + 11 = 37

37 + 13 = 50