What is the smallest integer n such that 5n + 3 > -10

Answer:

The dimensions are 50 yards by 98 yards

Step-by-step explanation:

If the width is w, then the length is 2w - 2. Perimeter can be expressed by 2 * (length + width), therefore:

2 * (2w - 2 + w) = 296

2 * (3w - 2) = 296

3w - 2 = 148

3w = 150

w = 50 so 2w - 2 = 2 * 50 - 2 = 98

Answer:

[tex]\Large \boxed{\mathrm{98 \ yards \cdot 50 \ yards}}[/tex]

Step-by-step explanation:

Let the length be l.

Let the width be w.

[tex]l = 2w - 2[/tex]

The perimeter of the rectangle is 296 yards.

[tex]P = 2l + 2w[/tex]

Plug in the value for l and P.

[tex]296 = 2(2w-2) + 2w[/tex]

Evaluate and solve for w.

[tex]296 = 4w - 4 + 2w \\\\296 = 6w - 4 \\\\300 = 6w \\\\50 = w[/tex]

The width is 50 yards.

Let w = 50 for l.

Evaluate and solve for l.

[tex]l = 2(50) - 2 \\ \\ l = 100 - 2 \\\\l = 98[/tex]

The length is 98 yards.

Answer:

acute angle

Step-by-step explanation:

acute = less than 90 degrees

right = exactly 90 degrees

obtuse = more than 90 degrees

90 divided by 2 = 45

45 is less than 90 so acute angle

1/2 of a right angle is called an acute angle. The correct answer would be an option (D).

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

An angle with a measure of 1/2(90°) : 45°

As per the given question, the required solution would be as:

Straight: An angle with a measure of exactly 180° is considered straight. 45° is not a straight angle.

Obtuse: An angle with a measure greater than 90° and less than 180° is considered obtuse. 45° is not an obtuse angle.

Acute: An angle with a measure less than 90° is considered acute. 45° is an acute angle.

Thus, 1/2 of a right angle is called an acute angle.

Learn more about the angled here.

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We have a solution (2,2) so x = 2 and y = 2. Then:

[tex]2x+cy=8\\\\2\cdot2+c\cdot2=8\\\\4+2c=8\\\\2c=8-4\\\\2c=4\quad|:2\\\\\boxed{c=2}[/tex]

Step-by-step explanation:

Let the 5 even integers be x-4,x-2,x,x+2,x+4

Hence, x-4+x-2+x+x+2+x+4=530

Hence, 5x=530

Hence, x=530/5

Hence,x=106

so.. the integers are 102,104,106,108,110

Answer:

x = (z-8)/(6-p)

Step-by-step explanation:

Here in this question, we are to solve for x.

In quite more understandable words, we are trying to make x the subject of the formula.

To do this, we simply bring together, the terms that have x common to them.

Let’s proceed mathematically;

z = 8 + 6x - px

Let’s take 8 to z to make it negative and factor out x since it’s common to the two terms on the right hand side of the equation.

z - 8 = x(6-p)

The final thing to do here is to isolate x and this gives the below;

We can do this by dividing both sides by the coefficient of x which is 6-p in this case.

Thus;

x = (z-8)/(6-p)

Answer:

Step-by-step explanation:

6

Answer:

7x means that you are paying for 7 months. and 7x is a term.

Step-by-step explanation:

Rules for whether its a term, coefficient, or factor:

a TERM has a variable. 7x is a term.

a COEFFICIENT is the number part of a term. in 7x, the coefficient is 7.

a FACTOR  is something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.

Answer:

Yes, we can take either points as x and y because addition is commutative

Step-by-step explanation:

First of all, the midpoint formula is given as;

(x, y) = [((x₁ + x₂)/2), ((y₁ + y₂)/2)]

For example, if we assume that we have two endpoints having coordinates as (2, 5) and (4, 7)

Now, let (2, 5) represent the first coordinate and (4, 7) represent the second coordinate.

Thus, Coordinates of midpoint = [((2 + 4)/2), ((5 + 7)/2)]

This gives;

(x, y) = (3, 6)

Now,if we change the order of the coordinates by making (4, 7) to be the first coordinate and (2, 5) to be the second coordinate. Thus;

Coordinates of midpoint = [((4 + 2)/2), ((7 + 5)/2)] = (3, 6)

We can see that the coordinates of the midpoint remains the same even after interchanging the coordinates as first and second.

This is because we are adding two numbers and addition is commutative (in commutative properties, changing the order of the operands will not change the result). Thus, it doesn't matter in which order we have the endpoints.

Converse of the corresponding angles postulate

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

Explanation:

The corresponding angles postulate says that if we have two parallel lines, then the corresponding angles are congruent.

The converse of this is where we go in reverse: if we know the corresponding angles are congruent, then the lines are parallel.

Corresponding angles are ones where they are on the same side of the transversal line, and also on the same side of each adjacent parallel line. In this case, the angles 52 are to the right of the tranversal, and each are above their neighboring parallel line. We could say the two corresponding angles are both in the upper right hand corner (think of the two lines crossing to form 4 corners or regions)

Answer:

3/4

Step-by-step explanation:

open the brackets by multiplication

12x+28= 19

12x= 19-28

12x= -9 (divide)

-9/12x

x= 3/4

Answer:

[tex]\boxed{x=-0.75 }[/tex]

Step-by-step explanation:

4 ( 3x + 7 ) = 19

→ Expand the brackets

12x + 28 = 19

→ Minus 28 from both sides to isolate 12x

12x = -9

→ Divide 12 from both sides to isolate x

[tex]x=-\frac{9}{12} =- \frac{3}{4} =-0.75[/tex]

Answer:

The independent quantity is time and the dependent quantity is T-shirt printed

Step-by-step explanation:

We are asked to determine the dependent and independent quantity.

An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.

The independent quantity is time and the dependent quantity is T-shirt

Answer:

38.4

Step-by-step explanation:

We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!

Larry sees 12 dogs per 2.5 miles.

Your trying to find out how many dogs Larry sees in 8 miles.

[tex]\frac{2.5}{12} = \frac{8}{x}[/tex]

So you want to find x.

To go from 2.5 to 8, you have to multiply by 3.2

So do the same thing to the denominator; 12 × 3.2=38.4

Since there are 38.4 dogs, you have to round down because 0.4 dogs is no dog.

Larry sees 38 dogs in 8 miles.

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

Slope: 0

Step-by-step explanation:

To find the slope use the expression y2 - y1/x2 - x1

Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate

Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1

Next substitute the numbers into the expression

-4 +4/-12 + 6

This will equal 0/-6

The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)

Answer:

0

Step-by-step explanation:

To find the gradient of a line, we take the change in the y value divided by the change in the x value.

In this instance, the line passes through (-6, -4) and (-12,-4) , that means the line has a constant y value.

Following the equation to find gradient, we take the difference in y divided by the difference in x

[tex]\frac{(-4) - (-4)}{(-6) - (-12)} = \frac{0}{6} = 0[/tex]

and we see that the gradient is 0, which means that it is a flat line

Answer:

See below

Step-by-step explanation:

( a ) The value 1200 in this content represents the starting value, or the number of bacteria that was present in the beginning.

( b ) 1.8 represents the growth factor, or by how much more the bacteria increases, in multiples of the quantity.

( c ) As you can tell 1000 has a similar function as 1200, it models the number of bacteria present in the beginning. The difference between the studies is that the second study is present with a starting value of 1000 yet a similar growth factor, and hence will always have a smaller number of bacteria after t hours.

Answer:

X/Y=-5/3/-17.

-5/3×-1/7=-35/3.

Answer:

-1/4

Step-by-step explanation:

You just need to see what number is being divided from each term

Answer:

Step-by-step explanation:

Given  sin²∅ + sin∅ = 1, we are to find the value of  sin²∅ + sin⁴∅. ... 2

From  sin²∅ + sin∅. = 1;  sin²∅ = 1 - sin∅. ... 3

Substitute equation 3 into 1

sin²∅ + sin⁴∅

=  sin²∅ + (sin²∅)²

=  (1 - sin∅)+( 1 - sin∅)²

open the parenthesis

= 1 - sin∅+ (1-2sin∅+ sin²∅)

= 1 - sin∅+ 1-2sin∅+ sin²∅

= 1+1-sin∅-2sin∅+sin²∅

= 2 - 3sin∅+sin²∅

Since sin²∅ = 1 - sin∅, the resulting equation becomes;

= 2 - 3sin∅+(1 - sin∅)

= 2 - 3sin∅+1-sin∅

= 3-4sin∅

Answer:

6/10

Step-by-step explanation:

The value of Sin(A) is 6/10

Answer:

30% discount

Step-by-step explanation:

Let the percent reduction be x%

Actual price =$400

Discounted price=$280

Therefore, by the problem => [tex]400-x%400=280[/tex]%*400=280

                                             =>[tex]400-\frac{x}{100} *400=280\\400-4x=280\\-4x=280-400\\-4x=-120\\4x=120\\x=120/40\\x=30[/tex]

There was 30% discount on the camera

Answer:I think its C

Step-by-step explanation:

Answer:

x=1, or 6, or 4 (D)

Step-by-step explanation:

x³-11x²+34x-24=0 solve by factorizing

(x-1)(x-6)(x-4)=0

x-1=0

x=1

if x-6=0

x=6

x-4=0

x=4

check : x³-11x²+34x-24=0

x=1 : (1)³-11(1)²+34(1)-24=0

1-11+34-24=-35+35=0   (correct)

x=6 : 6³-11(6)²+34(6)-24=0  (correct)

x=4 : 4³-11(4)²+34(4)-24=0 (correct)

Answer: 100

Step-by-step explanation:

You know that AB is || to CD, angle BAC ≅ ACD  (this is the theorem where a line connecting the diagnose of two parallel line, the alternative interior angles are equal/ congruent)

You know that EF is || to BC, angle DHF ≅ GHC (these two are  vertically opposite angle which are equal/ this is a theorem)

-------------------------------------------------------------------------

we now know the angles in ΔGHC where angle GHC=35, angle GCH=65, and angle CGH=80 (subtract other angles from 180)

angle AGH is supplementary w=angle with CGH, which means we subtract 80 from 180, we get 100 will be the angle of AGH

Answer:

Step-by-step explanation:

Pythagorean theorem: In a right angle triangle, the square of hypotenuse is equal to the sum of squares of other two sides

BC² + AB² = AC²

5² + AB² = 13²

25 + AB² = 169

        AB² = 169 - 25

        AB² = 144

       AB = √144 = √12*12

AB = 12cm

Answer:

Step-by-step explanation:

Total number of ice cream invented for customers to try = 25 new flavours

Amount of least popular flavors  thrown out = 13 flavors

Remaining flavor nit thrown out = Total ice cream invented - amount thrown out = 25 - 13

= 12 flavors

The remaining number flavors that was produced is 12 flavors.

If 80 cartons of each of the remaining flavor was made, the total amount of cartons made = 12* 80 = 960 cartons.

Since 2 cartons contains 1 litre

960 cartons will contains (960*1/2) litres

Hence 960 cartons will contain 480litres of the ice cream.

This shows that there are total of 480 litres of ice cream in the cartons

0.1m + 8 - 12n when 30 and n = 1/4

= 3+8-3

= 3+8-3= 8

8

Answer:

7x+7y=

Step-by-step explanation:

(x+y)7

used 7 to open the bracket.

7x+7y

Answer:

x=5

Step-by-step explanation:

20(20-x) = 300

Divide each side by 20

20/20(20-x) = 300/20

20-x = 15

Subtract 20 from each side

20-x-20 = 15-20

-x = -5

Multiply each side by -1

x = 5

Answer:

x = 5

Step-by-step explanation:

20(20-x) = 300

20( -x + 20) = 300

-20x + 20 * 20 = 300

-20x = 300 - 400

x = -100 / -20

x = 5

Answer:

[tex]\huge\boxed{The\ length\ of\ Diagonal = 61 \ m}[/tex]

Step-by-step explanation:

Length = 50 m

Width = 35 m

Using Pythagorean Theorem:

[tex]c^2 = a^2 + b^2[/tex]

Where c = diagonal , a = length (50 m) and b = width (35 m)

=> [tex]c^2 = 50^2+35^2[/tex]

=> [tex]c^2 = 2500 + 1225[/tex]

=> [tex]c^2 = 3725[/tex]

Taking sqrt on both sides

=> c = 61 m

The length of Diagonal = 61 m.

Step-by-step explanation:

a squared +b squared= c squared

where c is the hypotenuse

35^2+50^2=c^2

1225+2500=c^2

3725=c^2

c^2=61.0328

Answer:

[tex]135[/tex]

Step-by-step explanation:

[tex]3y = 3 \times 45 = 135[/tex]

Hope this helps ;) ❤❤❤

Step-by-step explanation:

Time = 5/6 - 2/6 = 3/ 6 = 1/2

Answer:

32

Step-by-step explanation:

19-(-13)

=19+13 (after removing the brackets, the minus sign becomes positive)

=32

Answer:

32

Step-by-step explanation:

if there are two negative signs next to each other (they willl usually be separated by parenthesis) they would become an addition sign, so this question would actually be 19+13

Step-by-step explanation:

m² + 7m - 6

(-4)² + 7(-4) - 6

16 - 28 - 6

- 18