Leaving work, Duncan drove at 30 mph for 20 minutes. Then he drove at 40 mph for 12 minutes to reach home. How far did he drive to get home?

Step-by-step explanation:

When b = 5,

4b² = 4(5)² = 4 * 5 * 5 = 100.

Answer:

100 is the right answer.

Step-by-step explanation:

Given that b=5

4b² = 4(5)² = 4×25 = 100

Answer:

25% loss

Step-by-step explanation:

21 is 75% of 28, because 7*3 = 21 and 7*4 = 28

100%-75%=25%

Hope this helps!

Answer:

the answer is 50 %

Step-by-step explanation:

C.P x (100+ (P/L) ) over 100 = S.P

C.P x 50 over 100 = 8500

C.P = 8500 x 100 over 50 = 17000 .Rs.

hope it helps make me the brainliest now !!!!!!!

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

Answer:

$340.

Step-by-step explanation:

Given that some products, such as a pair of trousers in this case, are sold at 2/5 of their value, if the trousers cost $ 850, the following calculation must be performed to determine their sale value:

2/5 = 0.4

850 x 0.4 = X

340 = X

Therefore, selling them at 40% of their value, the trousers' sale value was $ 340.

Answer:

We know that no. of days is inversely propotional to the provision for men.

So for 120 men the provision would last for 30days. (given)

Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.

Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days

A.t.q 120*30 = 120*5+125*x

(120*30) - (120*5)= 125x

120(30-5)=125x

120 * 25 = 125x

120 = 5x

x=120/5

x= 24

so the provision would remain for more 24 days.

Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen

Answer:

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

Step-by-step explanation:

Answer:

(2h + 3k) (m -  n)

Step-by-step explanation:

factor by pairing:  pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates

m is common factor of 1st pair: m(2h+3k)

n is common factor of 2nd pair: n(2h+3k)

answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)

Answer:

[tex](2h+3k)(m-n)[/tex]

Step-by-step explanation:

[tex]2mh+3mk-2nh-3nk[/tex]

Just look at the common terms

[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]

By grouping we have

[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]

Answer:

Son's age = 24 years

Man's age = 48 years

Step-by-step explanation:

Let's take the age of son as x

Man's age = 2x

Twelve years ago,

Son's age= x-12

Man's age= 2x-12

Man is three times as old as his son so,

[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]

Solving for x,

2x-12(1) = x-12(3)

2x-12 = 3x-36

2x-3x = -36+12

-x = - 24

x = 24

So if we substitute the values we get,

Son's age = 24 years

Man's age = 48 years

Hope you understand :)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,

From the second condition ,

Substituting the value of x from equation ( i ) in equation ( ii ) :

[tex] \sf{2y - 12 = 3(y - 12)}[/tex]

Solve for y ( age of the son ) :

⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]

⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]

⟿ [tex] \sf{ - y = - 24}[/tex]

⟿ [tex] \sf{y = 24}[/tex]

Now , Substituting the value of y in equation ( i ) , we get :

[tex] \sf{x = 2 \times 24}[/tex]

⟿ [tex] \sf{x = 48}[/tex]

So, the present age of the father is 48 years and that of the son is 24 years.

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

-38h-30

4h+(−6)(5)+(−6)(7h)

=4h+−30+−42h

=(4h+−42h)+(−30)

=−38h+−30

Answer:

The equation of the line is y = 3x - 1 ⇒ b

Step-by-step explanation:

From the given graph

∵ The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

∵ (x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (0, -1) and (1, 2)

∴ x1 = 0 and y1 = -1

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope to find it.

∵ m = [tex]\frac{2--1}{1-0}[/tex] = [tex]\frac{2+1}{1}[/tex] = [tex]\frac{3}{1}[/tex]

∴ m = 3

∵ The line intersects the y-axis at point (0, -1)

∴ The y-intercept = -1

∵ The form of the equation of the line is y = m x + b

∵ b is the y-intercept

∴ b = -1

→ Substitute the values of m and b in the form of the equation

∵ y = 3x + -1

∴ y = 3x - 1

∴ The equation of the line is y = 3x - 1

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:

d = 65h + 50

The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.

The initial distance that they started with is = 50 miles

The velocity at which they are traveling is 65miles/hr

Therefore the total distance they have driven, d, in terms of the number of hours since noon, h

= 65h + 50

Therefore, the third option is correct.

Learn more about distance traveled here:

https://brainly.com/question/4931057

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square root(3) * ((125 / 5) - 8) =

29.44

that's the final answer.

if possible please give me a brainliest. tnx good day

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

[tex]8 \times \frac{1}{2} [/tex]

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

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

8 pieces

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Answer:

4 x 45=180

32 x 2.5=80

180+80=260

so $260 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137  equation

STEP 2

3<-2x-137  simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3   simplify

-2x>140

step 4

-2x>140   look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

Answer:

false

false

false

...............

The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

A differential equation is an equation that contains one or more functions with its derivatives.

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.

The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.

[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]

This limit function is false.

[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]

This limit function is false.

[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]

This limit function is false because it should be positive.

Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

To learn more on Differentiation click:

https://brainly.com/question/24898810

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Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

Given :

Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .

To Find :

Can she arrive before 10:00 am.

Solution :

Time taken to cover 156 miles with speed of 60 miles per hour.

[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]

To arrive before 10:00 am she has only 2.5 left.

But time taken is 2.6 hours which is greater than 2.5 hours.

Therefore, Kim cannot arrive there before 10:00 am.

Answer:

10am

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6

Answer:

M<1 = 131

M<2 = 49

Step-by-step explanation:

1. Alternate interior angles theorem

2. 180-131 = 49

Answer:

48 percent

Step-by-step explanation:

12 divided by 25 gets you .48 which can be expressed as 48%

Answer:

48%

Step-by-step explanation:

1. Change 12/25 to a fraction with a denominator of 100

25 x 4=100

12 x 4=48

2. Find the percent

48/100= 48%

Given:

[tex]\sigma_A=3[/tex]

[tex]n_A=6[/tex]

[tex]\sigma_B=5[/tex]

[tex]n_B=4[/tex]

[tex]\overline{x}_A=\overline{x}_B[/tex]

To find:

The variance. of combined set.

Solution:

Formula for variance is

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex]      ...(i)

Using (i), we get

[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]

[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]

Similarly,

[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]

[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]

Now, after combining both sets, we get

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]

[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]

[tex]\sigma^2=\dfrac{154}{10}[/tex]

[tex]\sigma^2=15.4[/tex]

Therefore, the variance of combined set is 15.4.

Answer:

-14

Step-by-step explanation:

4 + x/7 =2

x/7= -2

x= -2 * 7

x=

-14

Answer:

10

Step-by-step explanation:

[tex] \sqrt{100} = 10[/tex]

Hope it helps you in your learning process.

Answer:

i got you

Step-by-step explanation:

2 is 142

4 is 142

(they are parallel therefore they are the same :))