14pqr+35pqr factorise

Answer:

3(3x+7)

Step-by-step explanation:

9x+21=3(3x+7)

Answer:

1.5w² + 10w + 16 sq, inches.

Step-by-step explanation:

The height of the portrait without the frame is 1.5 times its width.

Let the height is 1.5w inches and width is w inches.

Now, the frame around the portrait is 2 inches wide.

So, the dimensions of the portrait with frame are (1.5w + 4) inches by (w + 4) inches.

Therefore, the area of the framed portrait will be  

(1.5w + 4)(w + 4)  

= 1.5w² + 10w + 16 sq, inches. (Answer)

Answer:

26.25 feets

Step-by-step explanation:

Given:

Each headbands requires 1 7/8 feets fabric

Dedra has to  make 14 headbands .

Question asked:

how much fabric will she need  to make 14 headbands = ?

Solution:

By applying unitary method :

Length of fabric require to make a headband = [tex]1\frac{7}{8}[/tex]

                                                                           = [tex]\frac{15}{8}[/tex]

Length of fabric require to make 14 headbands = [tex]14\times\frac{15}{8}[/tex]

                                                                                = [tex]\frac{210}{8}[/tex]

                                                                                = [tex]26.25 feets[/tex]

Therefore, Dedra needs 26.25 feets fabric to make 14 headbands.

Answer:

Angles of triangle are 40°,60° and 80°.

Step-by-step explanation:

Given:

if angles of a triangle are 2 is to 3 is to 4.

Let the common factor between the angles be 'x'.

So we can say that;

Angle 1 = [tex]2x[/tex]

Angle 2 = [tex]3x[/tex]

Angle 3 = [tex]4x[/tex]

We need to find the value of each angle.

Solution:

Now we know that;

"Sum of all angles of triangle is 180°."

framing in equation form we get;

[tex]Angle \ 1+Angle\ 2+Angle \ 3 =180[/tex]

Substituting the values we get;

[tex]2x+3x+4x=180\\\\9x=180[/tex]

Dividing both side by 9 we get;

[tex]\frac{9x}{9}=\frac{180}{9}\\\\x=20[/tex]

Angle 1 = [tex]2x=2\times20=40\°[/tex].

Angle 2 = [tex]3x=3\times20=60\°[/tex]

Angle 3 = [tex]4x=4\times20=80\°[/tex]

Hence Angles of triangle are 40°,60° and 80°.

Among the options given, 2/11 is most similar to 0.18 when we convert these fractions to their decimal format. Remember that this is an approximation since 2/11 results in a repeating decimal.

The given expression is equivalent to 0.18. To find out which among the provided options this is equivalent to, we need to convert these fractions to decimal format. Let's start with A.
A. 1/9 is equal 0.111 repeating.
B. 2/11 equals approximately 0.1818 repeating.
C. 1/11 equals approximately 0.0909 repeating.
D. 11/2 equals 5.5.

Comparing these to our given expression of 0.18, we find that Option B (2/11) is most closely equivalent after rounding. It's worth noting the repeating decimal in 2/11, which is why it is an approximation rather than an exact equivalent.

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Answer: h = 1.25

Step-by-step explanation:

divide 10 by 8 to get 1.25 or 5/4

In this question, you're solving for h.

Solve for h:

10=8h

"h" can't have a number next to it, it has to be by itself, so divide both sides by 8

1.25 = h  

Answer:

1.25 = h

Answer:

Step-by-step explanation:

5*743=(5*700)+(5*40)+(5*3)

Answer:

sorry where is the table? i dont see the picture... mabye it isnt loading for some-reason

Step-by-step explanation:

sorry wish i could help :(

Answer:

I don't know which table you need help with, so.. Yeah, this may or may not be what you need help with.

But the answer to the table I put is -3/2

Step-by-step explanation:

Sorry if this wasn't what you were looking for!

Yes, a rectangle is always a parallelogram.

The answer is yes.

Rectangles are quadrilaterals with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.

Answer: x=5

Step-by-step explanation:

21+x=26 (you need to isolate x)

-21    -21 (inverse operation to isolate x)

(subtract 21 from 26)

x=5

Answer: x = 5

Step-by-step explanation: In this problem, we want to get x by itself on one side of the equation. Since we have 21 + x, in order to get x by itself, we must subtract 21 from the left side of the equation and when we subtract 21 from the left side of the equation, we must also subtract 21 from the right side of the equation in order to keep our equation balanced.

So on the left, +25 and -25 cancel eachother out and on the right, 26 - 21 simplifies to 5 so x = 5. To check our answer, we plug 5 back in for x in the original equation and we get 21 + (5) = 26 or 26 = 26 which is a true statement  so we know our answer is correct.

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

step by step explanation:

the highlighted area is situated under the line of equation y=3x-4 and respectivelybetween the two lines of equations y=-1 and y=2

Then the system of inequalities is :

y ≤ 3x-4

-1 ≤ y ≤ 2

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

Answer:

false?

Step-by-step explanation:

do u mean equals? and the x is x not multiply?

Answer:

Therefore the Expression will be.

[tex]6-(-2x)[/tex]

[tex]6+2x[/tex] ...As minus - minus sign becomes plus.

Step-by-step explanation:

What is six minus negative two x?

Solution:

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as

Hence Our Statement is " six minus negative two x "

i.e. Number 6 minus sign then again a minus sign of 2x.

Therefore the Expression will be.

[tex]6-(-2x)[/tex]

Also equals

[tex]6+2x[/tex] ...As minus - minus sign becomes plus.

Answer:A “unit rate” is the average rate for a single unit. This is found by dividing the total amount of an item by the number of units in the group. In this case we have the ratio of (3285) Applescalories .

Step-by-step explanation:

The ratio of width to length in simplest form is 19 : 44

Solution:

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

[tex]\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}[/tex]

In ratio form, we know that,

[tex]\frac{a}{b} = a : b[/tex]

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44

Answer:

$0.85 per tomato

Step-by-step explanation:

A unit rate is the cost for one item. Like $0.99 for this one bag of skittles.

So $3.40 divided by four is $0.85.

The unit rate would be 0.85. If you divide 3.40 by 4 you 0.85

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

[tex]Simple\ Interest = \frac{p \times n \times r}{100}[/tex]

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

[tex]Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050[/tex]

Thus simple interest earned over 6 years is $ 4050

Final answer:

Martha will earn $4,050 in simple interest over 6 years on her $15,000 savings account at a 4.5% annual rate. This is calculated using the simple interest formula, Interest = Principal × Rate × Time.

Explanation:

To calculate the simple interest that Martha will earn over a period of 6 years, we will use the formula for simple interest: Interest = Principal × Rate × Time. Here, the principal amount is $15,000, the annual interest rate is 4.5% (which is 0.045 in decimal form), and the time is 6 years.

Let's plug these values into the formula:

Interest = $15,000 × 0.045 × 6

Interest = $15,000 × 0.27

Interest = $4,050

Therefore, the total amount of interest Martha will earn over 6 years is $4,050, which matches option A.

Answer:

C≈12.57

Step-by-step explanation:

The formula for circumference if 2(3.14) * r

The r represents the radius do you would just take 2 * 3.14 which is 6.28.

Next, you would take 6.28 * r (which is 2 meters) and you get 12.566, but if you're rounding it would be 12.57.

Make sure to label your answers

I hope this helped!

Answer:

C. y - 7 = -13(x -  5)  

Step-by-step explanation:

The point-slope equation for a straight line is

y - y₁ = m(x - x₁)

where m is the slope and(x₁, y₁) is a point on the line.

If m = -13 and  (5, 7) is the point, the equation is

y - 7 = -13(x -  5)

Answer:

[tex]g(x)=-4(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Given:

The parent function is given as:

[tex]f(x)=4(\frac{1}{2})^x[/tex]

The function [tex]g(x)[/tex] is a reflection of the parent function about the x-axis.

Now, in order to find the function g(x), we need to use the rules of function transformations.

As per transformation rules, when a function is reflected about the x-axis, the function rule is given as:

[tex]f(x)\to-f(x)[/tex]

So, the new function or the reflected function is the negative of the original function.

Therefore, the reflected function [tex]g(x)[/tex] is given as:

[tex]g(x)=-f(x)\\\\g(x)=-4(\frac{1}{2})^x[/tex]

Hence, the function that represents the reflection of the given function across the x-axis is [tex]g(x)=-4(\frac{1}{2})^x[/tex]

The pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]

Explanation:

According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.

[tex]P_{1} \cdot V_{1}=P_{2} \cdot V_{2}[/tex]

Substituting the values, we get,

[tex]40 \times 320=P_{2} \times 200[/tex]

Dividing both sides by 200,

[tex]\frac{40 \times 320}{200}=P_{2}[/tex]

Simplifying the terms, we get,

[tex]\begin{aligned}\frac{12800}{200} &=P_{2} \\64 &=P_{2}\end{aligned}[/tex]

Thus, the pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]

Answer:

4

Step-by-step explanation:

a + 12/3 = 8

a + 4 = 8

a = 8 - 4

a = 4

Answer:

a=4

Step-by-step explanation:

a+12/3=8

a+4=8

a=8-4

a=4

Answer: it is linear

Step-by-step explanation:

It is linear because the highest power of the unknown variable is 1

Answer:

D. 15 cm

Step-by-step explanation:

9² + 12² = x²

81 + 144 = x²

225 = x²

√225 = x

15 = x

Answer:

Supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Answer:

15/2

Step-by-step explanation:

2x+3=18

2x=18-3

2x=15

x=15/2

Answer:48 feet

Step-by-step explanation:

16x3=48

Answer:38 feet tall

Step-by-step explanation:

The value of [tex]\log_5{125}[/tex] is 3.

Solution:

Step 1: Given expression is [tex]log_5{125}[/tex].

125 can be expressed as [tex]5^3.[/tex]

[tex]\log_5{125}=\log_5{5}^3[/tex]

Step 2: Using log rule: [tex]\log_a{x^b}=b\log_a{x}[/tex]

 [tex]\log_5{5}^3=3\log_5{5}[/tex]

Step 3: Using log rule: [tex]\log_a{a}=1[/tex]

[tex]\log_5{5}= 1[/tex]

⇒ [tex]3\log_5{5}= 3(1)[/tex]

⇒ [tex]3\log_5{5}= 3[/tex]

∴ [tex]\log_5{125}=3[/tex]

Hence the value of [tex]\log_5{125}[/tex] is 3.

Answer:

Step-by-step explanation:

A) 15 and 12