what is 10x minus 35 factored ​

Base of triangle is: 8 cm

Step-by-step explanation:

Let h be height of triangle and

b be the base

According to given statement "The height of a triangle is 7 cm longer than its base."

[tex]h = b+7[/tex]

Area of triangle = 60 square cm

The formula for the area of triangle is given by:

[tex]A = \frac{1}{2} * b * h\\60 = \frac{1}{2} * b * (b+7)\\120 = b(b+7)\\120 = b^2+7b\\b^2+7b-120 = 0\\b^2+15b-8b-120 = 0\\b(b+15)-8(b+15) = 0\\(b+15)(b-8) = 0\\Now\\b+15 = 0 => b=-15\\b-8 = 0 => b = 8[/tex]

As the length cannot be negative,

Base = 8 cm

Height = b+7 = 8+7 =15 cm

Keywords: Triangle, base

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The answer is...

Answer:

D.O.

The mode of the given set of numbers is 0.

The mode in statistics refers to the number or value that appears most frequently in a set of data. To find the mode of the given set of numbers, we count how many times each number appears:

0 appears twice

1 appears once

2 appears once

63 appears once

61 appears once

27 appears once

13 appears once

Since 0 appears the most frequently, it is the mode of the set. Therefore, the correct answer is Mode: 0.

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The length of swimming course is 345.93 meters.

Step-by-step explanation:

Given,

BC = 80 m

AB = 145 m

Using pythagoras theorem to find AC.

[tex]AC^2+BC^2=AB^2\\AC^2+(80)^2=(145)^2\\AC^2+6400=21025\\AC^2=21025-6400\\AC^2=14625[/tex]

Taking square root on both sides

[tex]\sqrt{AC^2}=\sqrt{14625}\\AC=120.93m[/tex]

Length of swimming course = AB + BC + AC

Length of swimming course = 145 + 80 + 120.93 = 345.93 m

The length of swimming course is 345.93 meters.

Keywords: square root, addition

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The correct answer is (C) $48. Hence the correct option is c.

1. Identify the relevant information:

From the table, we know Alfred earns $8 per time he weeds the garden.

He weeded the garden 6 times.

2. Calculate his total earnings from weeding:

To find the total amount Alfred earned, we multiply the amount he earns per weeding session by the number of times he weeded:

Total earnings = Number of times weeded * Earnings per weeding

Total earnings = 6 times * $8/time = $48

Therefore, Alfred earned $48 from weeding the garden.

Hence the correct option is c.

Complete question:

Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.

Chore Amount Earned ($)

mow lawn $10

wash car         $5

weed garden  $8

Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?

(A) $30

(B) $60

(C ) $48

(D) $75

The answer is option B - $48. Alfred earned $48 from weeding the garden 6 times, as each weeding earned him $8 and $8 multiplied by 6 gives $48.

The question involves a basic arithmetic calculation to determine how much money Alfred earned for weeding the garden multiple times. We need to multiply the amount Alfred earns per instance of weeding by the number of times he performed the task.

Given that Alfred earns $8 for weeding the garden once and he weeded the garden 6 times over the summer, the total earning from weeding can be calculated as:

Amount Earned Weeding = Earned per Weeding × Number of Weedings

Amount Earned Weeding = $8 × 6 = $48

Therefore, Alfred earned $48 from weeding the garden 6 times in the summer.

The question is:

Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.

Chore Amount Earned ($)

mow lawn $10

wash car $5

weed garden $8

Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?

(A) $30

(B) $60

(C) $48

(D) $75

The measure of angles are 22.5 degree and 67.5 degree

Solution:

Given that, measures of two complementary angles are in ratio 1 : 3

one angle : another angle = 1 : 3

Let the first complementary angle 1x

Let the another complementary angle be 3x

If the angles are complementary, then their sum is 90 degrees

Therefore,

1x + 3x = 90

4x = 90

x = 22.5

Then, first angle = 1x = 1(22.5) = 22.5

Another angle = 3x = 3(22.5) = 67.5

Thus the measure of angles are 22.5 degree and 67.5 degree

Division property of equality is used

Solution:

Given that,

If 3x = 27 then x = 9

We have to find the algebraic property used here

Division property is used here

The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same.

Given equation is:

3x = 27

Divide both the sides by 3

[tex]\frac{3x}{3} = \frac{27}{3}\\\\x = 9[/tex]

Thus division property of equality is used

The algebraic property used in changing 3x = 27, to x = 9 is the Division Property of Equality. This property means that if both sides of an equal equation are divided by the same nonzero number, then the resulting equation remains true.

The algebraic property that applies when rearranging the equation 3x = 27, to x = 9 is known as the Division Property of Equality. This property states that when both sides of an equation are divided by the same nonzero number, the result is an equivalent equation.

To demonstrate this, in the given equation 3x = 27 we can apply the Division Property of Equality by dividing both sides of the equation by 3. This will give: 3x/3 = 27/3 which simplifies to x = 9, thus demonstrating the division property of equality.

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Answer:

see below

Step-by-step explanation:

y=kx

15=1.50(10)

1.50 is the cost of every coffe

10 is the amount of coffes u can get with the 15 dollars

15 is the total money u have

(hopes this helps)

Answer:

y= -1.5x+15

Step-by-step explanation:

y=mx+b

This is the formula to find the equation. M is the slope (rise over run), and b is the y-intercept. Hope this helps.

Answer:

C 14,400

Step-by-step explanation:

If a bird is chirping 10 times a min, and there are 60 min in a day you would multiply those numbers. 10×60=600.

There are 24 hours in a day so multiply 600 with that and you have ur answer. 24×600=14400. Also sorry this is probably old.

A bird chirps 14,400 times in a day.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A bird chirps 10 times a minute.

Now,

Since, A bird chirps 10 times a minute.

We know that;

1 day = 24 hours

        = 24 × 60 minutes

        = 1,440 minutes

Hence, We get;

A bird chirps in a day = 10 × 1,440

                                 = 14,400 times

Thus, A bird chirps 14,400 times in a day.

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The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

To solve the given problem, it is necessary to know about the polygon. A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

For example: -

The formula for the interior angle of a regular polygon is given by,

[tex]= \dfrac{ (n-2) \times 180}{n}[/tex]

Here, n is the number of sides.

Then the calculation is given as,

For triangle ( n = 3 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (3-2) \times 180}{3}\\\\=60 \;\rm degrees[/tex]

For square ( n = 4 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (4-2) \times 180}{4}\\\\=90 \;\rm degrees[/tex]

For pentagon ( n = 5 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (5-2) \times 180}{5}\\\\=108 \;\rm degrees[/tex]

Thus, we can conclude that the interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

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The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

We have to determine, The measure of one interior angle in each regular polygon.

A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

The formula for the interior angle of a regular polygon is given by,

[tex]= \frac{(n-2)\times180}{n}[/tex]

Where, n is number of sides.

The triangle is a polygon that  has 3 interior angles.

The square is a polygon that has 4 interior angles.

The pentagon is a polygon that has 5 interior angles.

For triangle ( n = 3 sides ),

[tex]= \frac{(3-2)\times 180}{3} \\\\= \frac{180}{3} \\\\= 60degree[/tex]

For square ( n = 4 sides ),

[tex]= \frac{(4-2)\times 180}{4} \\\\= \frac{360}{4} \\\\= 90degree[/tex]

For pentagon ( n = 5 sides ),

[tex]= \frac{(5-2)\times 180}{5} \\\\= \frac{540}{5} \\\\= 108degree[/tex]

Hence, The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

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Answer:

2/7

Step-by-step explanation:

Answer:

5(7xy + 5x)

Step-by-step explanation:

35xy+25x

divide both sides by 5

we have 5(7xy+5x)

Answer:5x(7y+5)

Step-by-step explanation:

This was the correct answer on my test

Answer:

  24 cm

Step-by-step explanation:

The triangle formed by the chord, its bisector, and a radius is a right triangle with hypotenuse 13 and one side of length 5. These are two of the numbers in the 5-12-13 Pythagorean triple, so we know that half the chord has length 12.

The chord is 24 cm long.

_____

In case you haven't memorized some of the more commonly used Pythagorean triples, you can find the half-chord length (h) using the Pythagorean theorem:

  13² = 5² + h²

  169 -25 = h²

  √144 = h = 12

The half-chord length is 12, so the full chord length is 24 centimeters.

Answer:

26

Step-by-step explanation:

Range = highest number minus lowest number.

99-73=26.

Answer:

26

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 99−73=26.

Answer:

21.819 is the difference

The answer is 21.819

✍️(◔◡◔) hope this helps

In order to find the slope, we may use the formula:

Slope = (y2−y1)/(x2-x1)

Now, let's identify the values. Say, point a is the first point and b is the second. This means that:

x1 = 3

y1 = 2

x2 = 7

y2 = 10

Let's plug in the values:

=(10-2)/(7-3)

=8/4

=2

Now, to determine if the slope is downward or upward, positive slope means upward from left to right while negative slope means downward from left to right.

So since our slope is positive 2, it is upward.

FINAL ANSWER:

Slope = 2

It slopes upward from left to right.

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

i) every 10 customer gets a free coke

ii) every 12 customer gets a free popcorn

iii) therefore the first customer who will get both a free coke and a free popcorn will be given by the Lowest Common Multiple of 10 and 12 which is 60, as 10 goes in to 60 by 6 times and 12 goes into 60 by 5 times.

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

Answer:

16x^5

Step-by-step explanation:

use photomath it will help u with math problems if u need it.

Answer:

The answer is 20 doses

Answer:

b < –2 or b > 2

Step-by-step explanation:

The given expresion is

[tex] |b| \: > \: 2[/tex]

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

[tex] b \: > \: 2 \: or \: - b \: > \: 2[/tex]

Divide the second inequality by -2 and reverse the sign

[tex]b \: > \: 2 \: or \: b \: < \: - 2[/tex]

Option B is correct

The expression |b| > 2 is equivalent to b < -2 or b > 2, indicating that the value of b is either greater than 2 or less than -2.

The expression |b| > 2 is equivalent to the situation where b is greater than 2 or less than -2. The absolute value sign indicates the distance of b from 0 on a number line, without considering direction. Therefore, if |b| is greater than 2, b must lie outside the interval from -2 to 2, since anything within that interval would have an absolute value less than or equal to 2.

This means that the correct expression equivalent to |b| > 2 is b < -2 or b > 2. When b is positive, it must be greater than 2 to satisfy the inequality. When b is negative, to have an absolute value greater than 2, it must be less than -2.

Answer:

90 + 99 + 108

Step-by-step explanation:

The 3 number being added should be multiplied by 9.

10 x 9 = 90.

11 x 9 = 99.

12 x 9 = 108.

Therefore, 90 + 99 + 108.

Answer: 9*10 + 9*11 + 9*12

Step-by-step explanation:

The distributive property of multiplication states that when a number is multiplied by the sum of several numbers, the first number can be distributed to all of those numbers and multiplied by each of them separately.

9(10 + 11 + 12) = 9*10 + 9*11 + 9*12

Answer:

y = 5x - 17

Step-by-step explanation:

y = mx + c

m = the gradient/slope = 5

y = 5x + c

Substitute (3, -2) into the equation above to find c.

-2 = 5(3) + c

-2 = 15 + c

-2 - 15 = c

-17 = c

y = 5x - 17

Answer:

Step-by-step explanation:

point(3, -2) and has a slope of 5

Slope m = 5

y1 = -2 and x1 = 3

The equation is

y - y1 = m(x - x1)

y + 2 = 5(x - 3)

y + 2 = 5x - 15

y = 5x - 15 - 2

y = 5x - 17

Answer: Square.

Step-by-step explanation:

First it is important to know the following definitions:

1. A Quadrilateral is defined as a polygon that has four sides and, therefore, four vertices.

2. A Square is a Regular Quadrilateral that has the following properties:

- All its sides have equal length.

- Its opposite sides are parallel.

- The measure of each Internal angle is 90 degrees (which are also called "Right angles").

According to the information given in the exercise, the poster Cecily made has the shape of a Quadrilateral. All the angles of this quadrilateral are congruent (this means that they have equal measure) and all the sides are also congruent (they have the same length).

Therefore, based on the explained before, you can conclude that it is a Square.

Answer:

32 oz

Step-by-step explanation:

4 quart -----------> hold 128 oz

1 quart -------------> holds 128 ÷ 4 oz = 32 oz

Answer:

It holds 32 oz of water

Step-by-step explanation:

Answer:

The equation of a straight line is

-3 x+5 y=15

Step-by-step explanation:

Given x - intercept of (-5,0) and y- intercept is (0,3)

here (-5,0 ) point lie on x- axis and (0,3) this point lie on y- axis

we know that the x- intercept  'a' and y- intercept 'b'  formula is

[tex]\frac{x}{a} +\frac{y}{b} = 1[/tex]

so given x - intercept a =-5 and y- intercept is b= 3

now the straight line equation is [tex]\frac{x}{-5} +\frac{y}{3} =1[/tex]

now simplify [tex]\frac{-3 x+5 y}{15} =1[/tex]

[tex]-3 x+5 y=15[/tex]

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

[tex]f(x)=\frac{x-2}{3}[/tex]

You must substitute [tex]x=2[/tex] into the function f(x). Then:

[tex]f(2)=\frac{(2)-2}{3}[/tex]

2. Evaluating, you get:

[tex]f(2)=\frac{0}{3}\\\\f(2)=0[/tex]

3. Now, the next step is to substitute [tex]f(2)[/tex]  into the function g(x):

[tex]g (x) = 3x+2\\\\g (f(2)) = 3(0)+2[/tex]

4. Finally, evaluating, you get the following result:

[tex]g (f(2)) = 0+2\\\\g (f(2)) =2[/tex]

You can identify that it matches with the Option C.

To find the value of g(f(2)), we first calculate f(2) which equals 0, then we substitute that into g(x) to get g(0) which equals 2. Therefore, g(f(2)) is 2.

The question asks for the value of g(f(2)) given two functions g(x) = 3x + 2 and f(x) = (x - 2) / 3. To find the value, we first evaluate f(2), and then plug that result into g(x).

The answer to the given function composition g(f(2)) is 2, which corresponds to option C.

Final answer:

To determine the cost of each bottle in a $3.48 six pack of soda, divide the total cost by the number of bottles, which results in each bottle costing $0.58.

Explanation:

To find out how much each bottle of soda costs when a six pack of soda costs $3.48, we need to divide the total cost by the number of bottles in a pack. Since there are six bottles in a six pack, we take the total cost of $3.48 and divide it by 6.

The calculation will look like this:

Cost per bottle = Total cost of six pack ÷ Number of bottles

Cost per bottle = $3.48 ÷ 6

Cost per bottle = $0.58

Therefore, each bottle of soda costs $0.58.