A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]

This is the answer.

Answer:

v = 25.6

Step-by-step explanation:

1. Multiply both sides of the equation by 4.

(6.4)(4) = 25.6

Step-by-step explanation:

solution

Coordinate (-3,-1)(2,2)

x¹=-3 x²=2, y¹=-1 y²=2

M=(y²-y¹)/(x²-x¹)

M=(2+1)/(2+3) => 3/5

Equation of line

M=(y-y¹)/(x-x¹)

3/5 = (y+1)/(x+3)

cross multiply

3(x+3)=5(y+1)

3x+9=5y+5

5y-3x=4

5y=4+3x

y=4/5 + 3x/5

(C)

Answer:

[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra i

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle x^2 = y^2 + z^2[/tex]

Step 2: Solve for x

Answer:

Reflexion and rotation, then translation

Answered by GAUTHMATH

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

Answer:

a=7.14yd

Step-by-step explanation:

process same as in above question

Answer:

[tex]Ratio = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Vertical length / Horizontal length

From the attachment, we have:

[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle

and

[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle

So, the ratio is:

[tex]Ratio = \frac{y}{x}[/tex]

[tex]Ratio = \frac{4\ units}{6\ units}[/tex]

[tex]Ratio = \frac{4}{6}[/tex]

Divide by 2

[tex]Ratio = \frac{2}{3}[/tex]

$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$

$\space$

$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$

$\space$

$\sf\underline\bold\blue{Answer:}$

$\space$

$\sf\underline\bold\blue{Calculations:}$

Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :

$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$

$\space$

$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$

$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$

$\sf{Convert \: to \: the\:lowest\:term(Divide),}$

$\mapsto$ $\sf\underline\bold{Radius=10}$

☆Now we know the value of the radius . So now let's calculate the area of the circle.

$\space$

$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$

$\sf\bold{Evaluating \: the\:required\:values:}$

$\sf\bold{Area\:of\:circle=3.1415(10)^2}$

$\space$

$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$

$\sf\bold{Now,}$

$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$

$\space$

$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$

____________________________

Answer:

she baked 3 times as many cranberry than blueberry muffins

Step-by-step explanation:

i think that because 9×3=27

the amount of the cranberry muffins are 9

Answer:

42 units^2

Step-by-step explanation:

Break this into a rectangle and a triangle

The rectangle is 12 by 1

A = l*w = 12*1 =12

The triangle has a base of 6-1 =5  and a height of 12

A = 1/2 bh = 1/2 (5)*12 = 30

Add the areas together

12+30 =42

Answer:

[tex]42 \: {units}^{2} [/tex]

Step-by-step explanation:

First divide the shape into triangle and a rectangle

then find the Area of the triangle and the rectangle separately

Area of the rectangle

[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]

Area of the triangle

[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]

Area of the shape

[tex]12 + 30 = 42 \: {units}^{2} [/tex]

Answer:

m BC = 100

Step-by-step explanation:

Since the angle is at the center, the arc has the same measurement as the angle

m BC = 100

Step-by-step explanation:

v=Ah

A=9×12

= 108

then, v=108×8

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

Answer: D) 10

Step-by-step explanation:

All angles in a triangle adds up to 180°

60° + 50° + 7x = 180°

7x = 180° - 60° - 50° = 180°- 110° = 70°

x = (70 ÷ 7)° = 10°

Answer:

where there is x in the equation we put 0

For y

=2(0)+3y=8

=0+3y=8 Group likely terms

=3y=8-0

=3y=8 Divide both sides by 3

=3y/3=8/3

Therefore y=2.6

For x

=2x+3y=8

=2x+3(0)=8

=2x+0=8 Group likely terms

=2x=8-0

=2x=8 Divide both sides by 2

=2x/2=8/2

Therefore x=4

The smallest numbers for x and y is 4 and 2.6 respectively

Answer:

The value is -10

Step-by-step explanation:

Answer:

$239

Step-by-step explanation:

20+25+22+30+15+18+20+17+30+27+15=239

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

Answer:

-14

Step-by-step explanation:

12mn-8mt+9t²-6mt

12mn+9t²-14mt

the coefficient of mt is -14

The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m)​ will be -14.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given that

⇒ 4m(3n-2t)+3t(3t-2m)​

⇒  12mn -8mt + 9t² - 6mt

⇒  12mn + 9t² + 14 mt

Hence it's clear that the coefficient of mt will be -14.

For more information about the expansion

https://brainly.com/question/14447197

#SPJ2

Answer:

Solution given:

note=diameter=2*radius

1:

Area of circle =πr²=22/7*(21/2)²=346.5cm²

2:

radius (r)= 3 ½=7/2cm

Area of circle =πr²=22/7*(7/2)²=38.5cm²

3;

radius (r)=14/2=7cm

Area of circle =πr²=22/7*(7)²=154cm²

note:

π=3.14 or 22/7

Answer:

long is rt3

short is 1

hypotenuse is 2

Step-by-step explanation:

in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'

Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

Answer:

[tex]14\text{ liters}[/tex]

Step-by-step explanation:

Let the total amount of water the container can hold be [tex]t[/tex]. Currently, there are [tex]n[/tex] liters in the container. If Ito adds 10 liters of water, the container will be 60% full. We can express this statement in the following mathematical equation:

[tex]n+10=0.6t[/tex]

Next, we're given that if we add 6 more liters to this, the container will be 75% full.

Therefore, we have:

[tex]n+10+6=0.75t,\\n+16=0.75t[/tex]

This is a system of equations:

[tex]\begin{cases}n+10=0.6t,\\ n+16=0.75t\end{cases}[/tex]

Subtract both equations to conveniently get rid of [tex]n[/tex]:

[tex]10-16=0.6t-0.75t,[/tex]

Combine like terms:

[tex]-6=-0.15t[/tex]

Divide both sides by -0.15:

[tex]t=\frac{-6}{-0.15}=40[/tex]

Now substitute [tex]t=40[/tex] into any equation (I'll choose the first):

[tex]n+10=0.6(40),\\n+10=24[/tex]

Subtract 10 from both sides:

[tex]n=24-10=\boxed{14\text{ liters}}[/tex]

Answer:

B

Step-by-step explanation:

Open circle means the number is not included.

Hope this helps <3

Answer:

Angelica's house is 11 miles away from the gas station.

Step-by-step explanation:

The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.