One positive number is 7 more than twice another. If their product is 1425, find the numbers.

Answers

Answer 1

Answer:

25 and 57.

Step-by-step explanation:

Let the lowest number be x then the other is 2x + 7, So:

x(2x + 7) = 1425

2x^2 + 7x - 1425 = 0

2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19

We need 2 numbers whose product is -2850 and whose sum is + 7.

These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:

2x^2 - 50x + 57x - 1425 = 0  Now we factor by grouping:

2x(x - 25) + 57( x - 25) = 0)

(2x + 57) ( x - 25) = 0

x = -57, 25.

We ignore the negative as we are given that the number is positive,

x = 25 is one number and the other is 2(25) + 7 = 57.


Related Questions


A rectangular pool has a length of
4x + 7 feet and a width of 15x - 2 feet. Which
expression represents the perimeter of the
pool?

Answers

P=(15x-2+4x+7)2=(19x+5)2=38x+10

Which of the equations will be a true statement if p = 10 3 ? Select the two choices that apply.
A. 3.4 ÷ p = 0.034
B. 437 ÷ p = 0.437
C. 53.45 ÷ p = 53.45
D. 6,340 ÷ p = 6.34
E. 2,458.2 ÷ p = 24.582

Answers

Answer:A

Step-by-step explanation: make me brainlist if correct

A ———-————————————————————


Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

What are the coordinates of B

Answers

Answer: (-7,-5)

Step-by-step explanation:

Because when you mark point M and A if you mirror point M and A on the x Axis then you will get (-7,-5)

which is the slope of the line that contains the point (-2,7) and (2,3)

Answers

Answer:

the slope of the line is -2.

Step-by-step explanation:

B.match illustrate by using rectangular regions then solve

C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence


WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT

also theres a picture above

(WITH STEP BY STEP EXPLANATION )​

Answers

Fractions can be represented by shading parts of a rectangular region

The simplified expressions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Complete number sentence

To start with, we simplify the fraction expressions as follows:

(1) [tex]\frac 28 + \frac 24 =[/tex]

Take LCM

[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]

[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]

Simplify

[tex]\frac 28 + \frac 24 = \frac 34[/tex]

(2) [tex]\frac 9{10} - \frac 35 =[/tex]

Take LCM

[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]

[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]

Simplify

[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]

(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]

Replace the blank with x

[tex]\frac 46 -x=\frac{2}{6}[/tex]

Collect like terms

[tex]x = \frac 46 -\frac{2}{6}[/tex]

Take LCM

[tex]x = \frac{4 - 2}{6}[/tex]

[tex]x = \frac{2}{6}[/tex]

Simplify

[tex]x = \frac{1}{3}[/tex]

(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]

Replace the blank with x

[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]

Collect like terms

[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]

Take LCM

[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]

[tex]\frac{x}{12} = -\frac{2}{12}[/tex]

Multiply both sides by 12

[tex]x=-2[/tex]

(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]

Take LCM

[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]

[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]

Reduce fraction

[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Missing fractions

So, the simplified expressions that contain the missing fractions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Shaded regions

See attachment for the shaded regions

Read more about fractions at:

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Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help

Answers

Answer:29.5 kilometers

Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5

The solution is: Eric biked total 1.875 Km.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

On Monday, Eric biked = 1 Km 125 m

                                      = 1.125 Km

On Tuesday, Eric biked = 1.125 Km - 375 m

                                      = 1.125 - 0.375 Km

                                      = 0.75 Km

So, Eric biked on both day

=1.125 + 0.75

= 1.875 Km

Hence, Eric biked total 1.875 Km.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ2

complete question:

Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days

One number is eight more than twice another. If their difference is 25, what is the larger
number?
35
42
17

Answers

Answer:

17

Step-by-step explanation:

Let the smaller number = x

Let the larger number = y

y = 2x + 8

y - x = 25                Add x to both sides

y = x + 25               Substitute this into the first equation

x + 25 = 2x + 8       Subtract 8 from both sides

x + 25 - 8 = 2x        Combine

x + 17 = 2x               Subtract x from both sides.

17 = 2x - x                Combine

17 = x

Suppose that sin a= 15/17 and 90 degrees

Answers

Ok done. Thank to me :>

Which triangle is a 30°-60°-90° triangle?

Answers

Answer:

-90

Step-by-step explanation:

it's right

Answer:

The first one.

Step-by-step explanation:

I took the quiz and got a 100, hope this helps :))

Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.​

Answers

Answer:

Below!

Step-by-step explanation:

You can take 25 as one example and 49 as the second example.

Let's factorize.

=> 25 = 5 x 5 = (Which is odd)=> 49 = 7 x 7 = (Which is odd)Conclusion:

Hence, the statement is not true.

Hoped this helped.

1 4 × √ 2 = 2 n Find N

Answers

7√2 = n

Divide by 2 on both sides.

The tree in Manuel’s backyard is 6.8 m high. How high is it in centimeters?

Answers

That is 680 centimeters

What is the solution to the equation 8b+32=104?

Answers

Answer: the answer is b=9

Step-by-step explanation:

Step 1: Subtract 32 from both sides.

104-32= 72

Step 2: Divide both sides by 8.

72 divided by 8 is 9

therefor the answer is 9

how do I solve this?

Answers

Answer:

Step-by-step explanation:

total points obtained=141+87+81+91=400

total possible points=150+100+100+100=450

1.

% points obtained=(400/450)×100≈88.89

Jade did not secured more than 88.89 % marks.

2. can't read properly

Please hurry!! This assignment is almost due!!

Answers

Answer: x = 17

Step-by-step explanation:

Hi there!

First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180

Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)

Hope this helps!

Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°

Answers

The measure of the exterior angle at vertex D is: D. 54°

Recall:

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.

Thus:

In ΔDEF, (8x−2)º is an exterior angle at vertex D.

m∠E = (3x−8)° (interior angle)

m∠F = (4x+13)° (interior angle)

Therefore:

(8x−2)º = (3x−8)° + (4x+13)°

Solve for x

8x - 2 = 3x - 8 + 4x + 13

Combine like terms

8x - 2 = 7x + 5

8x - 7x = 2 + 5

x = 7

Exterior angle at vertex D = (8x−2)º

Plug in the value of x

= 8(7) - 2

= 54º (option D)

Learn more about exterior angle theorem on:

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Help me(((((((please

Answers

Answer:

I do not know English

Step-by-step explanation:

<3333

Please help me solve this

Answers

Step-by-step explanation:

first line multiplied with first column. then with second column. and then third.

then the same for the second line and then the third line.

BA11 = 5×3 + 7×3 + 3×2 = 38

BA12 = 5×1 + 7×6 + 3×-1 = 44

BA13 = 5×2 + 7×-4 + 3×-3 = -27

BA21 = -2×3 + -1×3 + 9×2 = 9

BA22 = -2×1 + -1×6 + 9×-1 = -17

BA23 = -2×2 + -1×-4 + 9×-3 = -27

BA31 = 4×3 + 3×3 + 1×2 = 23

BA32 = 4×1 + 3×6 + 1×-1 = 21

BA33 = 4×2 + 3×-4 + 1×-3 = -7

If you had 10 questions on a test and you got 3 wrong what percentage is that?

Answers

Answer:

70% right, 30% wrong

Step-by-step explanation:

3 is 30% of 10

After sitting in a refrigerator for a while, a turkey at a temperature of 34^\circ34

F is placed on the counter and slowly warms closer to room temperature (67^\circ67

F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a

+(T
0

−T
a

)e
−kt

T_a=T
a

= the temperature surrounding the object
T_0=T
0

= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant

The turkey reaches the temperature of 45^\circ45

F after 15 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 60 minutes.

Enter only the final temperature into the input box.

Answers

The temperature of the body after 60 minutes is  60.5° F.

Using the Newton's law of cooling;

T(t) =[tex]Ts + (To - Ts)e^-kt[/tex]

T(t) = temperature at time t

Ts = temperature of the surrounding

To = Temperature of object

t = time taken

k = cooling constant

Now;

[tex]T(t) -Ts=(To - Ts)e^-kt\\45 - 67 = (34 - 67)e^-15k\\-22 = -33e^-15k\\-22/-33 = e^-15k\\0.667 = e^-15k\\ln(0.667) = ln( e^-15k)\\-0.405 = -15k\\k = -0.405/ -15\\k = 0.027[/tex]

At t = 60 min

[tex]T(t) = Ts + (To - Ts)e^-ktT(60) = 67 + (34 - 67)e^-( 0.027*60)\\T(60) = \\67 + (-33)e^-( 0.027 * 60)\\T(60) = \\60.5 F[/tex]

T(60) = 60.5° F

Learn more about Newton's law of cooling: https://brainly.com/question/13748261

Answer:

T≈169

Step-by-step explanation:

Enter only the final temperature into the input box.

T_a = 67\hspace{50px}T_0=210

T  

a

=67T  

0

=210

\text{Write Formula:}

Write Formula:

T=67+(210-67)e^{-kt}

T=67+(210−67)e  

−kt

 

Plug in givens

\color{blue}{T}=67+143e^{-k\color{green}{t}}

T=67+143e  

−kt

 

Simplify

\text{Plug in given time and temperature:}

Plug in given time and temperature:

\color{blue}{193}=67+143e^{-k(\color{green}{1.5})}

193=67+143e  

−k(1.5)

 

Simplify

\text{Solve for }k\text{:}

Solve for k:

193=

193=

\,\,67+143e^{-1.5k}

67+143e  

−1.5k

 

-67\phantom{=}

−67=

\,\,-67

−67

126=

126=

\,\,143e^{-1.5k}

143e  

−1.5k

 

\frac{126}{143}=

143

126

=

\,\,\frac{143e^{-1.5k}}{143}

143

143e  

−1.5k

 

 

Divide by 143

0.8811189=

0.8811189=

\,\,e^{-1.5k}

e  

−1.5k

 

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,\ln\left(e^{-1.5k}\right)

ln(e  

−1.5k

)

Take ln of both sides

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,-1.5k

−1.5k

\frac{\ln\left(0.8811189\right)}{-1.5}=

−1.5

ln(0.8811189)

=

\,\,\frac{-1.5k}{-1.5}

−1.5

−1.5k

 

Divide by -1.5

0.0843751=

0.0843751=

\,\,k

k

k\approx

k≈

\,\,\color{blue}{0.084}

0.084

Round k to nearest thousandth

\text{Complete Formula:}

Complete Formula:

T=67+143e^{-\color{blue}{0.084}t}

T=67+143e  

−0.084t

 

Plug in k

\text{Find temperature after }\color{green}{4}\text{ minutes:}

Find temperature after 4 minutes:

T=67+143e^{-0.084(\color{green}{4})}

T=67+143e  

−0.084(4)

 

Plug in time

T=67+143e^{-0.336}

T=67+143e  

−0.336

 

Multiply

T=169.1911041

T=169.1911041

Plug into the calculator

T\approx 169

T≈169

What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard

Answers

Step-by-step explanation:

Volume=length*width*height

V = (3/2)*(4)*(1/2)

= 12/4 = 3cm^3

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Answers

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27

Which value in the equation represents the rate of change?

A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27

Answers

I am pretty sure it is B, because per mile that changes

~ Also I don’t know if there is supposed to be B twice if so it is both of them

the inequality –1 + 6(–1 – 3x) > –39 – 2x.

Answers

Answer:

x > 2

Step-by-step explanation:

-1+6(-1-3x)>-39-2x

-1-6 - 18x > -39 - 2x

-7 - 18x + 2x > -39 - 2x + 2x

-7 - 16x + 7 > -39 + 7

16x / 16 > -32 / 16

x > 2

ANSWER: x < 2
Ok done. Thank to me :>

What is 2(n+7)+3n simplified and written in factored form?

Multiple choice question.


A)
5n+9



B)
5n+14



C)
3(2n+3)



D)
2(3n+7)

Answers

Answer:

B)

Step-by-step explanation:

2(n+7)+3n

now you multiply 2 though

2n+14+3n

Add common factors

5n+14

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3

Answers

The value of x that makes sense for the expression is the domain of the expression

The value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0The value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

[tex]\sqrt{-2x^2}[/tex]

For the above expression to have a defined value, the expression in the bracket must be positive.

However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0

Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0

[tex]\sqrt{(-2x)^3}[/tex]

For the above expression to have a defined value, the expression in the square root must be positive.

However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0

Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

Read more about domain at:

https://brainly.com/question/10197594

Answer: First answer = x<=0 and second answer is x<0

Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.

You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer

Answers

Answer:

4

Step-by-step explanation:

Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40

then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)

So you do 3.40/0.85 which is equal to 4

id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there ​

Answers

Answer:

3 vanilla

Step-by-step explanation:

If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.

Unless there is more than 12 in the order. The question is vague


What is the equation for the parabola with a focus F(13/11,0)?

Answers

Answer:

B.ON THE EDGE

Step-by-step explanation:

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