What is the solution to the linear equation?

d – 10 – 2d + 7 = 8 + d – 10 – 3d

(need answer asap)

Answers

Answer 1

Answer:

-10 -2d+7=8-10-3d

-2d + 7 =8 -3d

-2d + 7 =3d = 8

-2d + 3d = 8-7

d=8-7

d=1

Answer 2

Answer:

[tex]d = 1[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]

[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]

[tex](-d) + (-3) = (-2) + (-2d)[/tex]

Step 2:  Add 2d to both sides

[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]

[tex]d - 3 = -2[/tex]

Step 3:  Add 3 to both sides

[tex]d - 3 + 3 = -2 + 3[/tex]

[tex]d = 1[/tex]

Answer:  [tex]d = 1[/tex]


Related Questions

Solve 15 = 4(1.6)^x by graphing. Round to nearest hundredth.

Answers

Answer:

2.81

Step-by-step explanation:

[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]

Covert °F to °C .
(*SHOW YOUR WORK*)

6) 82°F to °C = ___________

7) 104°C to F =____________

8) 68°F to C = ____________

9) 47°C to F =_____________​

Answers

Answer:

6 ≈ 27.78C

7 = 219.2F

8 = 20C

9 = 116.6F

Step-by-step explanation:

6. From the formula C/5 = (F-32)/9

     We get C/5 = (82-32)/9

     C = (50/9)*5

     C ≈ 27.78

7. From the formula C/5 = (F-32)/9

     We get 104/5 = (F-32)/9

     F-32 = 104/5 * 9

     F-32 = 187.2

     F = 219.2

8. From the formula C/5 = (F-32)/9

    We get C/5 = (68-32)/9

     C/5 = 36/9

     C/5 = 4

     C = 5 * 4

     C = 20

9. From the formula C/5 = (F-32)/9

    We get C/5 = (F-32)/9

     47/5 = (F-32)/9

     (47/5)*9 = (F-32)

     84.6 = F-32

     F = 84.6 + 32

     F = 116.6

Formula Used

Temperture Conversion

C/5 = (F-32)/9 = R/4 = (K-273)/5

C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin

Note

Please use the correct subject next time

6) 82°F to C°

Formula

(82°F − 32) × 5/9 = 27.78°C

82°F=27.78°C

7) 10°C to °F

Formula

(104°C × 9/5) + 32 =219.2°F

104°C =219.2°F

8) 68°F to C°

Formula

(68°F − 32) × 5/9 = 20°C

68°F=20°C

9) 47°C to °F

Formula

(47°C × 9/5) + 32 = 116.6°F

47°C =116.6°F

Amy flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show one.
Write the probability as a fraction in the simplest form.

Answers

Answer:

1/12

Step-by-step explanation:

Mathematically, when a coin is flipped, we either get a head or a tail

These are equal probabilities of 1/2 each

So to show heads, we have a probability of 1/2

In a standard cube, there are 6 numbers (1-6)

now, we have only 1 one

the probability of it showing up would be 1/6

So the probability of both occurring would be the product

So we have this as;

1/6 * 1/2 = 1/12

need help with a p e x !!!

Answers

i think B is the right answer

A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answers

Answer:

She's, "HOT"!

Step-by-step explanation:

2/7 divided by 6, fastest answer (and correct) gets brainest.

Answers

Answer:

0.047619

P.S. do you need to round?

Answer:

[tex]\frac{1}{21}[/tex]

Step-by-step explanation:

find the measure of the missing side in the right triangle

Answers

12.2 ft because the Pythagorean theorem ( a^2 +b^2 = c^2) given this c is square root of 149 which is 12.2

Answer:

[tex]12.2\text{ ft}[/tex]

Step-by-step explanation:

In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).

In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:

[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]

Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode for 15 miles along the summit. While going uphill, she went 5 mph slower than when she was on the summit. What was her rate along the summit?

Answers

Answer: [tex]25\ mph[/tex]

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with [tex]x[/tex] mph

then she rode 15 miles with speed [tex](x+5)[/tex] mph

Equate the time in each ride and equate it to total time

[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]

So, her along the summit is [tex]x+5=25\ mph[/tex]

Help me pleaseeeeeeeee

Answers

Get y by itself
6y= -3x-18
Divide by 6
Y= -3x/6 -18
Slope is -1/2.
Line perpendicular is 2/1 or 2

Can someone help with this please

Answers

9514 1404 393

Answer:

  a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5

  b) 3.70

Step-by-step explanation:

a) You want ...

   classic cost < XL cost

Using the given expressions for the costs, the inequality is ...

  (1.75 +1.00d)/4 < (3.50 +1.50d)/5

__

b) For a 10-mile ride, the XL cost is ...

  (3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70

Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.

_____

Additional comment

Each expression can be divided out to give ...

  classic cost per person = $0.4375 +0.25d

  XL cost per person = $0.70 +0.30d

Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.

Solve for x.
42 - 5x = 4x + 15
x = [?]

Answers

Answer:

42-15=4x+5x

27=9x

27/9=x

x=3

Step-by-step explanation:

Brittany and Natalie, start cycling together from their home to school, which is 14.4 miles away. Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.


How much faster is Natalie (in mph)?

Answers

The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.

How to calculate average speed?

The average speed can be calculated by dividing the distance moved by the time taken. That is;

Average speed = Distance/time

According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.

However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.

First, we calculate the average speed of each individual as follows:

Natalie = 14.4miles ÷ 0.67hrs = 21.5mphBrittany = 14.4miles ÷ 0.33hrs = 43.64mph

This shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.

Learn more about average speed at: https://brainly.com/question/12322912

#SPJ1

if you is equals to 1 2 3 4 5 6 7 8 9 10 and a is equal to 1267 b is equals to 2 3 5 6 and C is equals to 4 5 6 7 then verify that a union B complement is equal to a complement intersection b complement​

Answers

This should be the answer

Can u help solve this

Answers

Answer:

3 or 6/2

Step-by-step explanation:

4--2 (you add there is a subtraction of a negative) over or divided by 3-1

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you[/tex]

What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution

Answers

Answer:

Step-by-step explanation:

{ 2/3 x+y=6

+

{ -2/3x-y=2

= 0=6

Hence,no solution.

Rationalize the denominator:

√7-√3 /√7+√3

help me this question plZ

Answers

[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3} } [/tex]

[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3}} \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} } [/tex]

[tex] \tt \huge \leadsto \frac{7 - 3}{ (\sqrt{7 })^{2} - ( \sqrt{3})^{2} } [/tex]

[tex] \tt \huge \leadsto \frac{4}{7 - 3} [/tex]

[tex] \tt \huge \leadsto\frac{4}{4} [/tex]

[tex]\tt\huge\leadsto{1}[/tex]

Answer:

Step-by-step explanation:

To rationalize the denominator multiply the numerator and denominator by the conjugate of √7 + √3 = √7- √3

[tex]\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}=\frac{(\sqrt{7}-\sqrt{3})(\sqrt{7}-\sqrt{3})}{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}\\\\\\= \frac{(\sqrt{7}-\sqrt{3})^{2}}{(\sqrt{7})^{2}-(\sqrt{3})^{2}}\\\\\\= \frac{(\sqrt{7})^{2}-2*(\sqrt{7})*(\sqrt{3})+(\sqrt{3})^{2})}{7-3}\\\\=\frac{7-2\sqrt{21}+3}{4}\\\\=\frac{10-2\sqrt{21}}{4}\\\\=\frac{2(5-\sqrt{21})}{4}\\\\=\frac{5-\sqrt{21}}{2}[/tex]

grade 6 math any one willing to answer ONE question??? pls answer due in 30 minutes 10 points and brainliest

Answers

Answer:

2 and 5 is the gcf and lcm is 360

Step-by-step explanation:

Answer:

GCF is 120 and LCM is 1440

Step-by-step explanation:

-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120

-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440

what is -6^2 equal to?

Answers

Answer:

-36

Step-by-step explanation:

If they asked (-6)^2 then it would be 36

Answer:

-36

Step-by-step explanation:

Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.

Thank you so much thank you thank much

Answers

Answer:

6s - 300 > 210 is the answer.

pls help asap
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2+7x-28=0
a. one
b. two or zero
c. three or one
d. two

Answers

I think the Answer is option a.one

correct me if I am wrong

Independent Practice


Use the vertical motion formula h = –16t2 + vt + c.


A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?


A.
0.1 s


B.
–0.1 s


C.
3.2 s


D.
1.1 s

Answers

Answer:    The answer is letter A.  0.1s...... I think

-16t^2 + 50t + 3.5= 0

Step-by-step explanation:  The answer is either letter A or letter B

Question

Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t  

2

+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.

Explanation

Step 1

1 of 2

The starting velocity is 50 ft/s ,when the ball is 3.5 ft high

So, v=50v=50 , h=3.5h=3.5 , t=0t=0

\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}

h

3.5

c

 

=−16t  

2

+vt+c

=−16(0)  

2

+50(0)+c

=3.5

 

 

The vertical motion formula

Substitute 3.5 for h , 50 for v , 0 for t

Simplify

So, the vertical motion formula will be

h= -16t^2 + 50t + 3.5

Let h= 0

                                     -16t^2 + 50t + 3.5= 0

Answer:



Step-by-step explanation:

[tex]\sqrt{45}[/tex]

Answers

Answer:

6. 72

Step-by-step explanation:

[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = \sqrt{9 } \times \sqrt{5} \\ = 3 \sqrt{5} [/tex]

[tex] \sqrt{5} = 2.24 \\ \implies \: 3 \sqrt{5} = 3 \times 2.24 \\ = 6.72[/tex]

Answer:

[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

45 = 9 * 5 = [tex]\sqrt{3 * 3 * 5}[/tex]

RSM HW PLEASE HELPPPPPPPPPPPPP ASAP

Answers

Answer:

congruent SAS

Step-by-step explanation:

We know two sides of the triangles are congruent to each other

MD = MT

and MA = MU

We also know that <DMA = < TMU

Two sides and the included angle

We can use SAS to show that the triangles are congruent

Answer

DM = MT (sides)

AM =MU ( sides)

<DMA = < TMU ( Angles)

So, DMA triangle is congruent to TMU triangle

According to SAS

Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards

Answers

Answer:

12

Step-by-step explanation:

Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.

Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:

16(12)

= 192

So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:

192/15

= 12.8

We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:

= 12

Ella can cut twelve 15 inch pieces.

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

Answers

I believe the answer would be
f(x) = (x-3)^2 +5

Answer:

B .              g(x) = x + 8

Step-by-step explanation:

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

g(x) = x + 3

g(x) = x + 8

g(x) = x − 8

g(x) = x + 2

Its B if this is what your test is on .

why e=mc2?why not e=mc3?​

Answers

Step-by-step explanation:

E = mc^2

E is Energy

M is Mass

C is Speed of light

This is Albert Einstein's General theory of relativity.

According to The principle of homogeneity,

E = mc^2 is dimensionally correct.

E = mc2 Explained. E = mc2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

Which expression is equivalent to 3(m - 3) + 4?
3m + 1
O
3m-
5
O
3m + 13
O 3m - 3

Answers

Answer:

3m -5

Step-by-step explanation:

3(m - 3) + 4

Distribute

3m -9 +4

Combine like terms

3m -5

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4

3m - 9 + 4

3m - 5

An automobile traveled 7 hours at an average
speed of 50 miles per hour. It averaged only 40
miles per hour on the return trip. The average
speed per hour, to the NEAREST mile, for the
round trip was
(A)46 miles per hour
(B) 44 miles per hour
(C)43 miles per hour
(D) 47 miles per hour

Answers

Answer:

(B) 44 miles per hour

Step-by-step explanation:

We are given that

Speed, v1=50 miles/hr

Time, t1=7 hours

Average speed, v2=40 miles/hr

We have to find the average  speed per hour for the  round trip .

Distance traveled by automobile from one side

d1=[tex]v_1t=50\times 7=350[/tex]miles

d1=d2=350 miles

Total distance=d1+d2=350+350=700 miles

Now,

[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]

Total time=t1+t2=7+8.75=15.75 hours

Now, average speed for the round tripe

=[tex]\frac{total\;distance}{total\;time}[/tex]

=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr

Hence, option (B) is correct.

Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.

Answers

Answer:

[tex]\sqrt{203}[/tex]

Step-by-step explanation:

1. [tex]11^{2} + b^{2} = 18^{2}[/tex]

2. [tex]b^{2} =203[/tex]

3. b = [tex]\sqrt{203}[/tex]

Can't be simplified.

Answer 16

Step-by-step explanation:

A car garage 17 rows of 30 cars each of the three floors. How many cars are there if the car Park Is full

Answers

Answer:

10 car are park is full djtbjekkjtitjejshd

Other Questions
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