Bernard is one and half times old as Henry six years ago he was twice as old as Henry how old are the boys now

Answers

Answer 1

Answer:

Henry=12, Bernard=18

Step-by-step explanation:

let Henry's age = x

let Bernard's age= 1.5x

according to d passage 6yrs ago x×2=1.5x

mathematically that is (x-6)2=1.5x-6

2x-12=1.5x-6

2x-1.5x=-6+12

0.5x=6

divide both sides by the co-efficient of x which is 0.5 can also be written as ½

there fore x=6÷½

x=Henry's age=12years

1.5x=Bernard's age=12×1.5=18years


Related Questions

Find the difference.

(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answers

Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pounds of steel?
A)0.49
B)0.48
C)4.9
D)9.8

Answers

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

if f(x) is a linear function and the domain of f(x) is the set of all real number which statement cannot be true?

Answers

Options:

The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.

Answer:

(C)The graph of f(x) has exactly two x-intercepts.

Step-by-step explanation:

Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.

(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.

(B)A linear function can only intersect the x-axis at exactly one point.

(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.

However:

A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.

The statement which cannot be true is Option C.

Answer:

C

Step-by-step explanation:

yes

which of the following is equivalent to the radical expression below √8x^5

Answers

The correct answer is D you get it right;)

PLZ PLZ PLZ HELP HELP HELPPP 14 Find the area of the semicircle. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer:

The area of semi-circle is 2π units²

Step-by-step explanation:

compare: 6/11 to 5/9 which one is greater

Answers

Answer:

5/9 is greater

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:


Help me ASAP please.

If two lines intersect and one angle measures 25°, what are the measures of the other angles?


25
75
155
125

Answers

Answer:

Two Lines that intersect from TWO angles.  The sum of the Two Angles is always 180 degrees.

180  Minus 25 =  155.

Step-by-step explanation:

Find the inverse of f(x) = e^x + 7

Answers

Answer:

f^-1(x) = ln(x - 7)

Step-by-step explanation:

f(x) = e^x + 7

y = e^x + 7

x = e^y + 7

e^y = x - 7

ln(e^y) = ln(x - 7)

y = ln(x - 7)

f^-1(x) = ln(x - 7)

Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.

Answers

3:45 hour flight on the last travel?

Answer:

Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min

Step-by-step explanation:

4h 20min = 13/3h = 260min

35min = 7/12h

3.75h = 15/4h = 225min

Total in min: 225+260+35=520min

Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h

Work out the length x.
+
7.5 cm
16 cm

Answers

Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )

x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )

The measure of hypotenuse length x would be 17.67 cm

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²  

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Using the Pythagoras' identity in the right angled triangle.

hypotenuse²  = perpendicular²  + base²

x² = 16² + 7.5²

x²= 256 + 56.25

x²= 312.25

Now take the square root of both sides

x = √312.25

x =  ≈ 17.67 ( to 2 dec. places )

Therefore, the measure of hypotenuse length x would be 17.67 cm

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ5

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Answers

Answer:

is greater than

Step-by-step explanation:

The answer is C less than we got it wrong

Step-by-step explanation:

CDEF is a kite and m∠FCE = 46. Find m∠3.

a. 32
b. 44
c. 23
d. 46

Answers

HEYA BUDDY

.

.

YOUR ANSWER IS 44

.

HOPE IT WILL HELP YOU UP

HAVE A GREAT DAY

ĶÁŤÉ

If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY

Answers

Answer:

A) $1.25

Step-by-step explanation:

If you divide the 3.87 by 3.05 you will approximately get 1.25

If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government

Answers

Answer:

The government loses $1000 per tax payer, according to the following function:

[tex]y(x) = -1000*x[/tex]

Where "y" is the total money earned by the government and "x" is the number of tax payers.

Step-by-step explanation:

Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:

[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]

The government loses $1000 per tax payer.

The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?

Answers

Answer:

33

Step-by-step explanation:

beacause you have to minus to find th aspect ratio I beleive.

How many triangles can be formed

Answers

Answer:

2

Step-by-step explanation:

2


Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32​

Answers

Answer:

C

Step-by-step explanation:

The ratio 11:16 cannot be simplified

Answer:

Its already in simplest form

Step-by-step explanation:

You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified

What is the length of the diagonal, d, of the cube shown below?
Round your answer to the nearest tenth

Answers

Answer:

103.8

Step-by-step explanation:

Length of diagonal of a cube is given by the formula:

[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]

The length of the diagonal of the cube is 103.9 units.

What is a cube?

A cube is a three dimensional figure or object which has all the side with equal length.

The length of each side of the cube = a = 60 units.

Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.

Learn more about a cube here: https://brainly.com/question/21270976

#Tag #SPJ2

Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p

Answers

Answer:

p ∨ q → True

(q → p) → True

Step-by-step explanation:

If the truth value of the statement p is 'True' and truth value of statement q is 'False',

p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]

p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]

(p → q) → False

(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]

(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]

(q ↔ p) → False

Answer:

Your answer would be answer two and four.

Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?

Answers

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units

Solve the following equation for x.
15x^2 – 46x + 16 = 0

Answers

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

Answer:

X=8/3,2/5

Step-by-step explanation:

Is 1/2x-4 a function?

Answers

Answer:

Yes it is

Step-by-step explanation:

Each x value is represented by exactly one y value.

The junior class sells tickets to a talent show to raise money. Each ticket sells for $8. How much money do they raise?

Answers

Answer:

unsolvable

Step-by-step explanation:

you need to know how many people bought a ticket

Help please! look at the attachment

Answers

Answer:

B

Step-by-step explanation:

Find the slope of the line that goes through the points (12,-12) and (-3,13).

slope,m=________

Enter your answer as an integer or a reduced fraction in the form A/B

Answers

Answer:

-5/3

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (13- -12)/(-3 -12)

   = ( 13+12) / (-15)

     25/-15

    -5/3

The right answer is -5/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?

Answers

Answer:

4 parrots

3 cages

Step-by-step explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

[tex]P=C+1\\C-1=\frac{P}{2}[/tex]

Solving the linear system:

[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]

Bryan has 4 parrots and 3 cages.

A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.4 years. The population is normally distributed with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you reject the organization’s claim using the test statistic?

Answers

Answer:

The test is left - tailed

We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)

Step-by-step explanation:

Sample size, n = 61

Sample mean, [tex]\bar{X} = 2.4[/tex]

Standard deviation, [tex]\sigma = 0.88[/tex]

Significance level,  α=0.02

Null hypothesis, [tex]H_{o} : \mu = 2.8[/tex]

Alternative hypothesis, [tex]H_{a} : \mu < 2.8[/tex]

It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.

Calculate the test statistic:

[tex]Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55[/tex]

Calculate the P-value:

P(Z < -3.35) = 0.0002

Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.

It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years

Answer:

The null and alternative hypotheses:

H0: u = 2.8

H1: u < 2.8

This is a left - tailed test.

For test statistics, use the formula:

[tex] Z = \frac{x' - u}{\sigma/ \sqrt{n}} [/tex]

Where,

Mean, u = 2.8

Sample mean,x' = 2.4

Sample size, n = 61

Standard deviation [tex] \sigma [/tex] = 0.88

Significance level = 0.02

[tex] Z = \frac{2.4 - 0.02}{0.88/ \sqrt{61}} =-3.55[/tex]

Test statistics, Z = -3.55

Pvalue:

Pvalue of Z = -3.55 using standard normal table,

NORMSTID(-3.55) = 0.00019

Pvalue = 0.0002

Critical value:

Since this is a left tailed test, the critical value at 0.02 level of significance is:

[tex] Z_\alpha = Z_0_._0_2 = -2.05 [/tex]

Decision: If pvalue is less than level of significance reject null hypothesis H0.

Conclusion:

Since pvalue, 0.00019 is less than level of significance, 0.02, reject null hypothesis, H0.

We conclude that the mean life of the cheapest screen is less than 2.8 years

What is the constant term in (2x+9)(x-4)(x+5)

Answers

Answer:

[tex]-180[/tex]

Step-by-step explanation:

[tex]\left(2x+9\right)\left(x-4\right)\left(x+5\right)[/tex]

[tex]\left(2x^2+x-36\right)\left(x+5\right)[/tex]

[tex]2x^3+11x^2-31x-180[/tex]

Answer:

-180

Step-by-step explanation:

(2x+9)(x-4)(x+5)

The constant term is

9*-4*5

-180

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