Maths problem
Mass

Solve the problems below.

1. A box has 3 books. Each book has a mass of 250g.

(a) What is their total mass? ​

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]

The breadth is the distance between (3, 2) and (3, 0):

[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units

Answer:

D. b2 = 22 + 62-2bc.cos(B)

Answer:

y = -2/7

Step-by-step explanation:

8^(y+2) = 2^4/4^(2y)

you want to on both sides so you can solve for the exponents

8= 2^3

4= 2^2

2^3y+6 = 2^4/2^(4y)

2^(3y+6) = 2^(4-4y)

3y + 6 = 4 - 4y

7y = -2

y = -2/7

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]

On subtracting the given equations we have,

[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]

Put this value in any equation , we have ,

[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]

Hence the lines will Intersect at ,

[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

Answer:

im bad at math but i think its 120

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

1. a. (ii) 1/27

Step-by-step explanation:

1st one is already given, I will give you the answer to the second one,

³√27/9²

= 3/81

= 1/27

Answered by GAUTHMATH

Answer:

17/42 or in decimal 0.405

Step-by-step explanation:

Add: 1 4/7+2/3- 1 5/6= 47/21- 1 5/6

Subtract: 47 - 1 5/6 = 17/42

Simplify: 17/42

Answer:

y=0.5x-3.5

Step-by-step explanation:

(-4)-(-5)=1

3-1=2

1/2=0.5

y=0.5x-3.5

Answer:

[tex]y=-2y-7[/tex]

Step-by-step explanation:

Coordinates plotted on the equation:

[tex](1,-4)[/tex]

[tex](4,-5)[/tex]

{check the image for your reference}

Answer:

69??

Step-by-step explanation:

.

Answer: It would still be 69.

Step-by-step explanation: When you add the both of the 69's together you would get 138 but when you subtract 69 you end up with 69 so therefore it's still 69.

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

Answer:

Area of a triangle=1/2×base x height

Let y represent the height

50cm²=1/2×20cm×y

50cm²=10cm×y

50cm²/10cm=10cm×y/10cm

5cm=y

therefore the height of the triangle is 5cm

Area of a trapezoid=1/2×a+b×height

let h represent the height

42cm²=(1/2×14cm+7cm)×h

42cm²=1/2×21cm×h

42cm²=21cm×h/2

42cm²×2=21cm×h(cross multiply)

84cm²=21cmh

84cm²/21cm=21cmh/21cm

4cm=h

Therefore the height is 4cm

Answer:

x=(-1/10) is the answer of given algebra

Answer:

p99 = 16.4 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.

This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]

Find p99.

This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then

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

[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]

[tex]X - 14.3 = 0.9*2.327[/tex]

[tex]X = 16.4[/tex]

So

p99 = 16.4 inches

The answer is 1.1772

Answer:

1.1772 is the single decal multiplier which should be used.

Step-by-step explanation:

Let the initial value be X.

After 8% increase, the value is =((100+8) /100) ×X = 1.08X.

Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.

This single decimal multiplier which should be used is 1.1772

Answer:

[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]

8 pupils like football

[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]

6 pupils like basketball

[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]

9 pupils like athletics

and how many liked swimming?

8 + 9 + 6 = 23 pupils

24-23 = 1 pupils liked swimming

GOOD LUCK ツ

Answer:

First one.

-3 is added to the previous term.

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3 / 2 - (-1)

-6 / 3

= -2

y = -2x + b

3 = -2(-1) + b

3 = 2 + b

1 = b

Step-by-step explanation:

some to check if it correct

The length of the  line segment AB is 8.48 unit.

The term used for identifying the size of an object or the distance from one point to another is known as length.

The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,

[tex]AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}[/tex]

Given that x1 = -1, x2= 11, y1= 7, and y2= -1.

Substituting the given values in the above equation

[tex]AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}[/tex]

[tex]AB=\sqrt{72} = 8.48[/tex]

Hence, 8.48 unit is the length of line segment AB.

To learn more about length, use the link given below:

https://brainly.com/question/8552546

#SPJ2

Hello,

1)

[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]

Answer C

2)

[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]

Answer C

Answer:

$5.5 per mile

40 miles

Step-by-step explanation:

Given :

Fixed cost = $10

Variable cost = $3

For a journey of 4 miles ;

Cost = fixed cost + Variable Cost

Cost = $10 + $3x

x = number of miles

Cost = $10 + $3(4)

Cost = $10 + $12 = $22

Average cost per mile for a journey of 4 miles

Cost / number of miles

$22 / 4 = $5.5 per mile

Minimum distance if average per mile is to be less Than 3.25

$3.25 = (10 + 3x) / x

3.25x = 10 + 3x

3.25x - 3x = 10

0.25x = 10

x = 10 / 0.25

x = 40 miles

Answer:

850/28=30 miles a gallon

Step-by-step explanation:

mark as brainlist

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

Answer:

122

Step-by-step explanation:

The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle

∠FDG = 2*FHG

          = 2 * 61

         = 122°

Answer:

122

Step-by-step explanation:

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]

Given the following data:

To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:

Mathematically, Pythagorean's Theorem is given by this formula:

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

Substituting the given parameters into the formula, we have:

[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

Answer:

32cm³ is the volume of the given rectangle.

Step-by-step explanation:

volume of rectangle=l×w×h

hope it helps

Answer:

bro i go to your school

lol

Step-by-step explanation:

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

Answer:

x=31.2

Step-by-step explanation:

Since angle C is 4x-10 and angle A is 2x+3

then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)

4x-10+2x+3=180

6x-7=180

6x=187

x=31.166...

if you round it to the nearest tenth it would be 31.2