One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.

The value of the first number is ___.
The value of the second number is ___.

Answers

Answer 1

Answer:

Step-by-step explanation:

The first number is

13

and the second number is

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

7

for

n

in the second equation and solve for

m

:

2

(

m

7

)

=

6

m

+

10

2

m

14

=

6

m

+

10

2

m

14

2

m

10

=

6

m

+

10

2

m

10

14

10

=

6

m

2

m

24

=

4

m

24

4

=

4

m

4

m

=

6

Now substitute

6

for

m

in the first equation and calculate

n

:

n

=

6

7

n

=

13


Related Questions

If a circle is 9 pi cm what is the radius of the circle

Answers

Answer:

         4.5 cm

Step-by-step explanation:

L = 2×π×r

9π cm = 2πr

9 cm = 2r

r = 4.5 cm

A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 7.5-foot-long shadow. What is the height of the flagpole?

Answers

Answer: 30 feet

Step-by-step explanation:

10 / 2.5 = 4

7.5 * 4 = 30

Pippa owns a snack bar.
She uses
of a kilogram of spread each day.
Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub.
Pippa buys enough spread to last for 14 days.
What is the lowest price Pippa can buy this spread for?

Answers

Answer:

£43.05 (I believe, refer to step-by-step explanation.)

Step-by-step explanation:

Let's compare both of these tubs if we were to buy either of them for 14 days.

Starting with the 1 kilogram tub we need to do the calculation:

£3.20 × 14 = £44.80

(Type 3.2×14 into your calculator or write on paper this way to calculate.)

Now let's do the 2 kilogram tub.

£6.15 × 7 = £43.05

(Type 6.15×7 into your calculator or write on paper this way to calculate.)

The reason why I have put 7 instead of 14 is because it is 2 kilograms. Since Pippa uses 1 kilogram per day, you only need to buy 7. 2 × 7 = 14

So comparing either of these prices, buying 7 2-kilogram tubs is much cheaper compared to the 14 1-kilogram tubs.

gimmy had i apple. his sister gave him another one. how many dose gimmy have in all

Answers

Answer:

2 apples : )

Step-by-step explanation:

can somebody help me please.​

Answers

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Find the area of the triangle where C = 18.5°, a = 32.4 cm, b = 49.2 cm
HEHE HELP

Answers

Answer:

questions mistake look questions and apply the formula 1/2 B×H

if you have a triangle and don't know where are the base and the high use this formula

area = 0.5 × side  × side  × sin the angle between the 2 sides

area = o.5 (32.4) (49.2) (sin 18.5)

         = 797.04 × sin 18.5

          =252.9

Write an equation in slope intercept form given m=2 and b=1

Answers

The equation in slope intercept form is y = 2x + 1

A family pays for 50 MB of internet connectivity for downloads. When measuring their internet speed, a family member observed a maximum speed of 35 MB. By what percentage is the measured speed different from the advertised speed?
PLS HELP

Answers

Answer:

its 70% of the speed they expected

38 pounds of tomatoes cost $182.40. How many pounds of tomatoes can you get for $144?
25 pounds

Answers

Answer:

30 pounds of tomatos

Step-by-step explanation:

divide 182.4 by 38 to get 4.8.

Then divide 144 by 4.8 to get the answer.

please find h and a​

Answers

Answer:

h=12 + c=20

Step-by-step explanation:

a^2+b^2=c^2

9^2+h^2=15^2

15^2-9^2=h^2

225-81=h^2

144=h^2

[tex]\sqrt{144}[/tex] = h

12=h

a^2+b^2=c^2

16^2 + 12^2 = c^2

256+144=c^2

400=c^2

[tex]\sqrt{400}[/tex] = c

20=c

20x16 help I’m stuck

Answers

Answer:

320

Step-by-step explanation:

my work is on the picture pls give brainliest thanks

The measure of angle 7 is

pls help quickly

Answers

Answer:

209 degrees

Step-by-step explanation:

it’s 151 because verticals angles are congruent, meaning they are the same

1. Jonah has $75 in a savings account and is putting $7 every week in the account.
Noah has $50 in his own savings account and is putting in $12 every week. At
what point will the boys have the same amount of money in their accounts?
A. at 4 weeks
B. at 5 weeks
C. at 7 weeks
D. at 12 weeks

Answers

Answer:

B

Step-by-step explanation:

Write the equation x2 + 24x + 60 = 0 in the form (x + p)2 = q.

A. (x + 12)2 = –60
B. (x + 12)2 = 84
C. (x + 12)2 = 204
D. (x + 6)2 = –24

Answers

The Answer is

A.(x+12)2 = -60

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The formula for (a + b)² = a² + 2ab + b²

The equation x² + 24x + 60 = 0 in the form (x + p)² = q is

(x + 12)² = 84

Option A is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

x² + 24x + 60 = 0

We can write this as,

x² + 2 x 12 x (x) + 60 = 0

The formula for (a + b)² = a² + 2ab + b²

Add 144 on both sides.

x² + 2 x 12 x (x) + 60  + 144 = 0 + 144

x² + 2 x 12 x (x) + 144 + 60 = 144

[ 12² = 144 ]

Subtract 60 on both sides.

x² + 2 x 12 x (x) + 144 = 144 - 60

x² + 2 x 12 x (x) + 12² = 84

(x + 12)² = 84

Thus,

The equation x² + 24x + 60 = 0 in the form (x + p)² = q is

(x + 12)² = 84

Option A is the correct answer.

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https://brainly.com/question/17194269

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Plz give me ans.




When.



....

Answers

Answer:

Step-by-step explanation:

Length : Breadth : height = 3 : 4 : 6

Length = 3x

Breadth = 4x

Height = 6x

Volume of cuboid = 576 sq.cm

length * breadth * height = 576

3x * 4x * 6x = 576

       72x³   = 576

             x³ = 576/72

            x³ =   8

            x³ = 2³

x = 2

Length = 3*2 = 6 cm

Breadth = 4* 2 = 8 cm

Height = 6*2 = 12 cm

Total surface area = 2*(lb + bh + hl)

                             = 2 * (6*8 + 8*12 + 12*6)

                            = 2 * (48 + 96 + 72)

                            = 2 * 216

                            = 432 sq.cm

Please help (25 points)

Answers

Answer:

BD=24

Step-by-step explanation:

I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.

I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.

Both expressions had the term x^2 in them, so I equated expressions of x^2

From there i rearranged to find y.

Using my value of y, I found x.

I've given you my working so I hope that helps :>

Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Answers

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

step 4. A = 2200e^((.053)(7)

step 5. A = $3188.20

write an expression equivalent to 2(2x + 2y).

Answers

Answer:

4x+4y

Step-by-step explanation:

You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.

You'll get:

(2*2x)+(2*2y) = 4x + 4y

4x + 4y is an equivalent expression.

Find the area of a circle with a diameter= 6.8cm

Answers

Answer: 36.32

Step-by-step explanation:

Area of circle is π(r^2)

r is d/2

= 3.14*((6.8/2)^2)

=36.32

What is the value of x and the length of the segment?

Answers

Answer:

x=14

PN=MN=85

Step-by-step explanation:

It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN

8x-27=6x+1

2x=28

x=14

PN=MN=85

Answer:

[tex] \huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85[/tex]

Step-by-step explanation:

to understand thisyou need to know about:triangles congruencyequationPEMDAStips and formulas:when two triangles are congruent the included angles and sides of the triangles are equalPN=MNlet's solve:[tex]step - 1 : define[/tex]

[tex]8 x- 27 = 6x + 1[/tex]

[tex]step - 2 : solve[/tex][tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex][tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex][tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]the length of the segment is

8x-27

8.14-27

85

What is the answer to this question?

Answers

Answer:

Lets consider the rectangle Area= l × w Hence: 12 cm × 6 cm= 72 cm^2 I do quizzes and exams if your interested

Step-by-step explanation:

a. area of rectangle=lxh

lxh

12x6

=72

b.area of triangle =1/2xbxh

1/2xbxh

1/2x3x6

=9

c.area of triangle =1/2xbxh

1/2xbxh

1/2x3x6

=9

d.a=l^2

=6x6

=36

Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

PLEASE I NEED HELP FAST ITS PAST DUE AND IM STUCK ON THIS ONE. ILL MRK BRAINLIEST FOR THE FIRST PERSON WHO GIVES ME THE CORRECT ANSWER

Answers

Answer:

[tex]-27x^2\\[/tex]

Step-by-step explanation:

(Assuming you can use a calculator)

[tex]\sqrt[3]{-729x^6} = \sqrt[3]{-1} * \sqrt[3]{729} * \sqrt[3]{x^6} \\\sqrt[3]{-1} =-1\\\sqrt[3]{729} = 27\\\sqrt[3]{x^6} = ((x^6)^{1/3}) = x^(6/3) = x^2\\\\hence\\\sqrt[3]{-729x^6} = -1*27*x^2 = -27x^2[/tex]

Answer:

d

Step-by-step explanation:

find the area of the quadrilateral triangle with side 10cm.



Help me yo​

Answers

Answer:

The answer is 25√3cm²

Answer:

triangles have 3 sides. quadrilaterals have 4 sides. also, you have to know a side lenght and height of a triangle to get its area.

if ur talking about equilateral, then it would be 25√3 cm²

It cost $32 per day to rent a medium-sized car plus $0.25 for each mile driven over 150 miles the equation that represents this situation is y= 0.25x + 32 where y represents the total cost of renting a car and x represents the number of miles driven over 150 miles

Answers

Answer:

a) 0.25 stands for 25 cents per mile

b) 32 stands for $32 just to rent the car

Step-by-step explanation:

Daniel receives a 35% employee discount on all purchases he makes at the store. If he buys his brother a jersey that is regularly priced at $24.95, what price (before tax) will Daniel pay for the jersey?

ANSWER CORRECTLY AND I WILL GIVE YOU BRAINLIEST AND GET 10 POINTS

Answers

Answer:

The price to pay is $16.22

Step-by-step explanation:

From the question, the regular price is $24.95

now, there is a discount

So the price to pay is the regular minus the discount

Mathematically, we have this as:

24.95 - 35% of 24.95

= 24.95 - 0.35(24.95)

= $16.2175

This is approximately $16.22

please help me ! it’s due at 11:30

Answers

Answer:

what is the question

Step-by-step explanation:

Calculate the length AB

Answers

Answer:

Step-by-step explanation: bro use sin=opposite/hypotenuse

Can somebody help me? I need help...

Answers

Answer:

8/9

Step-by-step explanation:

your adding 1/18 each time

Select the correct answer. Which number is the same as (4 ^-1) (2^3 divided by 4^-2)? A. -2 B. 1/8 C. 2 D. 32 E. 512

Answers

Answer:

b

Step-by-step explanation:

Number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.

Option D is correct.

What is PEDMAS rule?

PEDMAS is an acronym for the words parenthesis, exponents, division, multiplication, addition, subtraction. The PEDMAS Rule is a set of rules that prioritize the order of calculations.

Given

([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex])

= [tex](4^{-1})[/tex] [tex](\frac{2^{3} }{4^{-2} })[/tex]

= [tex](4^{-1})[/tex][tex](\frac{2^{3} }{4^{-1}. 4^{-1}})[/tex]

= [tex](\frac{2^{3} }{4^{-1} })[/tex]

= [tex]2^{3} . 4^{1}[/tex]

= 8 × 4

= 32

Hence, number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.

Option D is correct.

Find out more information about PEDMAS rule here

https://brainly.com/question/24086845

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