A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?

Answer:

speed = distance/ time so:

(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph

5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:

Step-by-step explanation:

2/7 miles in 2/5 hours.

to bring this to x miles / 1 hour, we must find the factor for 2/5 to turn into 1.

2/5 × f = 1

f = 5/2

in order to keep the value of the original ratio, we now need to multiply also 2/7 by the same factor (5/2).

2/7 × 5/2 = 10/14 = 5/7

so, the unit rate is 5/7 miles / hour.

which is very slow walking.

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

The speed of Raven motion is calculated as follows;

[tex]V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph[/tex]

The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

[tex]D = 4 \times 1\\\\D = 4 \ miles[/tex]

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Answer:

-3/7,0

Step-by-step explanation:

subtract 2 from both sides

3a - 3y =  15 - 2x

factor out the common term 3

3 (a-y) = 15 - 2x

divide both sides by 3

a - y = 15 - 2x/3

add y to both sides

a = 15-2x/3 + y

then solve put the value for a =

15-2x/3 + y + 7 ÷10​

simplify using the common denominator

10(15-2x)+7*3/30

simplify 7 * 3 to 21

10(15-2x)+21/30

expand

150-20x+21/30

simplify 150-20x+21 to -20x + 171

-20x+171/30

Answer: -20x+171/30

[tex]\huge\bf Question:– [/tex]

[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]

[tex] \bf \huge \: To \: Find:–[/tex]

[tex] \boxed{\bf \: Value\: of \: A}[/tex]

[tex]\huge\bf Solution:–[/tex]

[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]

[tex]\boxed{ \bf \: Add -2x \: to \: both \: sides}[/tex]

[tex]\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x[/tex]

[tex]\sf \longmapsto \: 3a−3y=−2x+15[/tex]

[tex]\boxed{ \bf \: Add \: 3y \: to \: both \: sides}[/tex]

[tex]\sf \longmapsto \: 3a−3y+3y=−2x+15+3y[/tex]

[tex]\sf \longmapsto \: 3a=−2x+3y+15[/tex]

[tex] \boxed{\bf \: \: Divide \: both \: sides \: by \: 3}[/tex]

[tex]\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3} [/tex]

[tex] \boxed{\bf \: Cross \: Multiply}[/tex]

[tex]\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}[/tex]

______________________________________

[tex]\bf \: Put\:The\: Value[/tex]

[tex] \sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10[/tex]

[tex] \boxed{\bf \: Distribute}[/tex]

[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10} [/tex]

[tex] \boxed{\bf \: Combine \: Like \: terms}[/tex]

[tex]\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)[/tex]

[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10} [/tex]

______________________________________

[tex]\boxed{\bf The Answer\: is:–}[/tex]

[tex]\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}[/tex]

Answer:

18.6cm

Step-by-step explanation:

there is a theorem that states that the midsegment of a triangle (midpoint to midpoint, in this case X and Y) is half of the base (in this case BC)

when applied to the triangle shown:

XY= 1/2 BC

substitute to get

XY=1/2*6.4

XY=3.2

perimeter of BCYX

=XY+YC+CB+BX

=3.2+4+6.4+5

=18.6cm

hope this helps

Answer:

yes this right cuz ye or nah?

Step-by-step explanation:

yes cuz 0 1 2 3 4 5 6 7 8 9 are the numbers

Answer: [?] is 6

Step-by-step explanation:

x=5

so, 2x=10

10-4 is 6

Answer:

Which of the following graphs is described by the function given below?

y = 2x2 + 6x + 3

-A. Graph A

The function y = 2x^2 + 6x + 3 is a quadratic function that has a vertex of (-1.5,-1.5)

The equation of the function is given as:

y = 2x^2 + 6x + 3

Differentiate

y' = 4x + 6

Set to 0

4x + 6 = 0

This gives

4x = -6

Divide by 4

x = -1.5

Substitute x = -1.5 in y = 2x^2 + 6x + 3

y = 2(-1.5)^2 + 6(-1.5) + 3

Evaluate

y = -1.5

This means that the function y = 2x^2 + 6x + 3 has a vertex of (-1.5,-1.5)

See attachment for the graph of y = 2x^2 + 6x + 3

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The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.

The converse of p ⇒ q is q ⇒ p.

The contrapositive of p ⇒ q is ¬q ⇒ ¬p.

Then

• the inverse of the inverse of p ⇒ q is p ⇒ q

• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p

• the inverse of the contrapositive of p ⇒ q is q ⇒ p

Answer:

3.0

4.5

6.0

7.5

Step-by-step explanation:

it rains at the rate of 1.5cm per hour

In two hours, the amount will be; 1.5 × 2

= 3cm

in the three hours, the amount will be 1.5×3

=4.5cm

in four hours, the amount will be; 1.5×4

=6cm

in five hours, the amount will be; 1.5×5

=7.5cm

Answer:

Domain:(−∞,2)∪(2,∞),{x|x≠2}

Range:(−∞,0)∪(0,∞),{y|y≠0}

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

[tex]2x+20=3x-15[/tex]

Then, just solve for x:

[tex]20=x-15\\35=x\\x=35[/tex]

You can check that by plugging it back into both:

[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]

Answer:

x = 35

Step-by-step explanation:

The angles shown are corresponding angles

Corresponding angles are congruent ( equal to each other )

This means that 2x + 20 should equal 3x - 15

Note that we've just created an equation that we can use to solve for x

We know use that equation to solve for x

2x + 20 = 3x - 15

add 15 to both sides

2x + 35 = 3x

subtract 2x from both sides

35 = x

And we are done!

Answer:

9x = 72; x = 8 times as many stamps

Step-by-step explanation:

Answer:

9×=72;×=8 times as many stamps

Answer:

18 minutes and 45 seconds

Step-by-step explanation:

[tex]\frac{1}{50}[/tex] + [tex]\frac{1}{30}[/tex] = [tex]\frac{3+5}{150}[/tex] = [tex]\frac{4}{75}[/tex]

1 ÷ [tex]\frac{4}{75}[/tex] = [tex]\frac{75}{4}[/tex] = 18' 45''

Answer:

18.75 minutes If A and B work together

Answer:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

Keep change flip!

Step-by-step explanation:

Example 1/2 divided 3/4

We simply keep 1/2 and then we flip the 3/4 which is now 4/3

now we also flip the division sign which its opposite is multiplying now its simply 1/2 x 4/3 and you get 4/6.  Hope this helps please mark brainliest!

[tex]\text{First term, a =6}\\\\\text{Common difference, d = 13 -6 = 7}\\\\\text{Nth term} = a+(n-1)d = 6 +(n-1)7 = 6+7n-7 = 7n-1\\\\\text{60th term} = 7(60) -1 = 419[/tex]

Answer:

three hundred twenty one and fifty one hundredths

Answer:

hi there !

The answer is "30/40"

because by dividing each nominator and denominator by "10" it gives 3/4

Answer:

You can send 405 texts in 2008 without going over 100$

Step-by-step explanation:

Equation for 2008:

59$ for 200 texts + .20 dollars per text after that < or = $100

So minus $59 dollars

.20 * (number of txts) < 100 - 59

.20 * (number of txts) < 41

divide both sides by .2

number of txts < or = 205

so therefore you can send exactly 405 texts without going over $100

Then to find how much you would pay plug into this equation

If total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation

(Total number of texts - 200) * .20 + 59 = Total $ spent for a 2008 text plan per month.

The total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The equation for 2008:

59$ for 200 texts + 0.20 dollars per text after that < or = $100 and minus $59 dollars

0.20 x  (number of texts) < 100 - 59

0.20 x  (number of texts) < 41

Divide both sides by 0.2

number of texts < or = 205

405 texts can be sent without going over $100

If the total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation

(Total number of texts - 200) x  0.20 + 59 = Total $ spent for a 2008 text plan per month.

( 405 - 200 ) x 0.2 + 59 = $99

Therefore,  the total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.

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Answer:

The dimensions of the lid are 8mm by 19mm.

w = 8

l = 19

Step-by-step explanation:

[tex]l=w+11\\l\times w=152[/tex]

where l is length and w is width. This can be solved as a system of equations.

[tex]l\times w=152\\(w+11)\times w=152\\w(w+11)=152\\w^2+11w=152\\w^2+11w-152=0[/tex]

At this point, it gets a little tough. I might be unnecessarily overcomplicating things, but this is the only way I see to solve the problem.

=================== Skip down below if you don't care about factoring

You need to factor the newly created trinomial.

[tex]ax^2+bx+c[/tex]

With a trinomial in this form, you need to find 2 numbers that add together to make b and multiply together to make ac.

Here, we need 2 numbers that add to 11 and multiply to -152. First, factor 152:

1, 152

2, 76

4, 38

8, 19

Then the reverse of all of those is true too, of course:

19, 8

38, 4

etc

In our case, we're looking for -152, so one of our factors will be negative. We're also looking for factors that add up to 11. Looking at these factors, you can see that 19 - 8 = 11, so our factors are 19 and -8.

Finally, you can use those to factor our trinomial. Split up the middle number (11w) into two:

[tex]w^2+11w-152=0\\w^2-8w+19w-152=0[/tex]

And now, you can factor by grouping:

[tex]w^2-8w+19w-152=0\\w(w-8)+19(w-8)=0\\(w+19)(w-8)=0[/tex]

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

Now that the number is factored, you can finally find w:

[tex](w+19)(w-8)=0[/tex]

Here, you can see that the equation will be true when w = -19 or w = 8. Those are our solutions, but we can't have a negative distance, so it's just

[tex]w=8[/tex]

Going all the way back to the top, now you can use the width to find the length.

[tex]l=w+11\\l=8+11\\l=19[/tex]

That one was much easier.

The dimensions of the lid are 8mm by 19mm.

Finally, check that with both of the original equations to make sure it's correct.

[tex]l=w+11\\19=8+11\\19=19\\\\l\times w=152\\19\times8=152\\152=152[/tex]

Answer:

6

Step-by-step explanation:

Two triangles are congruent so we can use the similarity ratio to find the length of XZ

8x - 10 = 5x - 4 export like terms to the same side of equation

8x - 5x = 10 - 4

3x = 6 divide both sides by 3

x = 2 and so the length of XZ is 8*2 - 10 = 6

Answer:

180 - 17 - 14 =149

180 - 149 = 31*

Step-by-step explanation:

Answer: 180 - 17 - 14 =149180 - 149 = 31*

Step-by-step explanation: it’s right

Answer:

91%

Step-by-step explanation:

hopes this helps

Answer:

185.71%

Step-by-step explanation:

130 / 70 = 1.857142857

(1.857142857)(100) = 185.71%

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

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Answer:

6cm

Step-by-step explanation:

let height of ladder be x

so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2

Assuming this is a right angle triangle, the slide is the longest lenght (c)

so

x²+(x+2)²=10²

x²+x²+4x+4=100

2x²+4x+4=100

2x²+4x+4-100=0

2x²+4x-96=0

2(x²+2x-48)=0

x²+2x-48=0 -- Factor

(x+8)(x-6)=0

x=-8 and x=6

since height cannot be a negative number

height of ladder is 6 cm

The base length is 8 feet. Then the height of the triangle will be 6 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of a slide on a swing set is 10 ft.

The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.

Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).

10² = (x + 2)² + x²

100 = x² + 4x + 4 + x²

96 = 2x² + 4x

48 = x² + 2x

0 = x² + 2x - 48

0 = (x - 6)(x + 8)

x = 6, -8

Then the base length is 6 ft. Then the height of the triangle will be

B = x + 2

B = 6 + 2

B  = 8 ft

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dAnswer:

fffff

Step-by-step explanation:ff m

Answer:a

Step-by-step explanation:

Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.

Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.

Here are a few tips to assist you identify a terminating decimal number.

Therefore, the correct answer is option B.

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Answer:

The choice 3;

[tex]x = 15 \: \: \: \\ y = 17[/tex]

Step-by-step explanation:

[tex]m < 2 = m < 4[/tex]

Opposite;

[tex]7x + 7 = 112 \\ 7x = 112 - 7 \\ 7x = 105 \\ \\ x = \frac{105}{7} \\ \\ x = 15[/tex]

____o__o___

[tex]m < 3 + m < 4 = 180 \\ 4y + 112 = 180 \\ 4y = 180 - 112 \\ 4y = 68 \\ \\ y = \frac{68}{4} \\ \\ y = 17[/tex]

Answer:

Multiples: 16, 32, 48, 64, 80 Factors: 1, 2, 4, 8 and 16

Step-by-step explanation:

hope this helped :3