Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Answers

Answer 1
Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.




Related Questions

Help me !!!! Emergency .
50 points + Brainliest
No spammers please
Leaders please answer this question

No. 8. a​

Answers

Answer:

[tex] \frac{1}{ \sqrt{2} } [/tex]

Step-by-step explanation:

Given

[tex]theta = 22 \frac{1}{2} = \frac{45}{2} [/tex]

[tex]2 \times theta = \frac{45}{2} \times 2 = 45[/tex]

Sin2theta=sin45⁰=1/√2

[tex] \frac{1}{ \sqrt{2} } [/tex]

is your answer

Answer:

[tex]\sf \dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sf If\:\theta=\left(22\dfrac12\right)^{\circ}[/tex]

[tex]\sf \implies2\theta=2\cdot\left(22\dfrac12\right)^{\circ}=45^{\circ}[/tex]

[tex]\sf Therefore\:\sin2\theta=\sin(45)^{\circ}=\dfrac{\sqrt{2}}{2}[/tex]

Proof

If a right triangle has an interior angle of 45°, then the third interior angle will also be 45° (since the sum of the interior angles of a triangle is 180°).

This means that the two legs of the right triangle are equal in length.

Using Pythagoras' Theorem, we can state that the hypotenuse of a right triangle with two legs of equal length will be √2 times the length of a leg.

Let a = b = 1

⇒ 1² + 1² = c²

⇒ c = √2

The sine trig ratio is:

[tex]\mathsf{\sin(\theta)=\dfrac{O}{H}}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse

[tex]\implies \sf \sin(45^{\circ})=\dfrac{1}{\sqrt{2} }[/tex]

[tex]\implies \sf \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies \sf \sin(45^{\circ})=\dfrac{\sqrt{2}}{2}[/tex]

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answers

Answer:

n = 6

Step-by-step explanation:

[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 2 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 6[/tex]

Hence, value of n is 6

evaluate the expression when m=3 and n=8. 40/n-m=

Answers

Answer:

2

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

If n = 8 and m = 3, 8 - 3 = 5.

40 ÷ 5 = 8

Hope this helps

as part of a design project, hassan wants to put moroccan tiles side by side along the edge of his counter. each tile has a side leanth of 0.15 meter. the edge of the counter is 3 merters longhow many tiles does hassan need.

Answers

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

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Answer: 20 tiles.

Step-by-step explanation:

The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.

What is a Tile's Length?

The tile's length is the longer side of a tile depending on the shape of the tile.

The length of the given tile is, 0.15 meter.

Length of the edge of he counter = 3 meters.

Number of tiles Hassan needs = 3/0.15

Number of tiles Hassan needs = 20 tiles.

This i-ready lesson is hurting my brain, anyway I need help on this one ‍

Answers

Answer:

I am pretty sure it is 100in^3 + s^3

All digits in a dropdown number are different and one of the digits is the average of all the digits. it has at least two digits. for example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.

Answers

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

How to determine the smallest dropdown number?

From the question, we have the following parameters:

The dropdown number is 4-digitThe digits are different.

We start counting from 1023, 1024, 1025, 1026...........

The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

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A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $35 year. Let t be the number of years since 1991. Which equation represents the average daily sales as a function of t

Answers

Answer:

d

Step-by-step explanation:

Can someone please help me find the ordered pairs for U and T?

thanks!

Answers

u (-1 ; 0)

t (-3 ; 0)

What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft

Answers

Answer:

12×8/2=48

10×10=100

2(48)+3(100)

96+300= 396ft²

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)

Answers

Given -

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

To solve -

➙ the given quadratic equation.

Concept applied -

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.

Solution -

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]

Solving one by one,

[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{8}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=2}}}[/tex]

________________

[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]

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

[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]

________________________________

Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.

________________________________

Hope it helps!! (:

HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE

Answers

Answer: 718 in^2.

Step-by-step explanation: To find the volume of a cone, you use the following equation:

V = π x r^2 x h x 1/3, where π is approximately 3.14, r^2 is the radius of the cone squared, h is the cone's height, and V is the volume of the cone.  Since a cone's volume is one-third of a cylinder's, that's why we multiply by 1/3, in case you're confused about where the 1/3 comes from.

Now, we substitute the following so we can solve this problem:

V ≈ 3.14 x 7^2 x 14 x 1/3.

Now that we've filled in the following, we can solve it:

3.14 x 7^2 ≈ 153.86.153.86 x 14 ≈ 2154.04.2154.04 x 1/3 ≈ 718.01333333.

Therefore your answer is 718.01333333 in^2 or rounded to the nearest whole number is 718 in^2.

Let me know if this is right! :)

work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.

Answers

Answer:

45n+12mm

Step-by-step explanation:

I hope this is right if it is right pls mark me as brainliest and learn well

the value of a and b will be 45 and 0 for the given expression.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.

Since Radius = 21 cm

the radius of the circle/ radius of the quarter circle = 7/2

Total length = Sum of the circumference of both the circle

Since the formula for the circumference of a circle:

C = 2 * pi * radius

Total length = 2* pi* r + 1/4 * (2 * pi * r')

Total length = 2 *pi * 21 + pi * 3

Total length = π(42 + 3)

total length = 45π + 0

therefore, the value of a and b will be 45 and 0 for the given expression.

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What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =

Answers

Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53

x
)

a. 2x + 8 = 53 - x
3x = 45
x
=
15


b. 2x + 8 = - 53 + x
x
=

61


For general answers, add
k
360


Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved

The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.

How to convert sine of an angle to some angle of cosine?

We can use the fact that:

[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]

to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).

For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.

Converting sine to cosine, we get:

[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]

Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]

where n = an integer (positive, negative, or zero).

or

[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]

This is the general solution of the considered equation.

Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:

[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]

The first inequality gives:

[tex]-37 \leq x \leq 323[/tex]

The second inequality gives:

[tex]-4 \leq x \leq 176[/tex]

We need to satisfy both the inequalities, so the final boundaries on x are:

[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).

n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x =  -105

n < -2 gives x > 255, and n > 1 gives x < -105

So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0

Thus, x = either 135 or 15

sin

Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15

Learn more about sine to cosine conversion here:

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Convert 315 degrees to radian

Answers

Answer:

[tex]\frac{7\pi }{4}[/tex] radians

Step-by-step explanation:

to convert degrees to radians

radians = degrees × [tex]\frac{\pi }{180}[/tex] , then

radian measure = 315° × [tex]\frac{\pi }{180}[/tex] ( cancel 315 and 180 by 45 )

                          = 7 × [tex]\frac{\pi }{4}[/tex]

                         = [tex]\frac{7\pi }{4}[/tex]

315 degrees is equal to 5.49779 radians.

To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.

Let's convert 315 degrees to radians:

315 degrees × (π/180)

315×3.14 /180

= 5.49779 radians

Therefore, 315 degrees is equal to 5.49779 radians.

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54 x 8181 x 12 x 8271 x 1301 x 812

Answers

Answer:

4.6320447e+16

I used a calculator for this LOL.

A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour

Answers

3 cups of flour for 30 cookies
Unit rate is 15/1
1 cup of flour for every 15 cookies

Answer:

3 cups. 15 cookies to 1 cup of flour.

Step-by-step explanation:

The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.

Last question please help!

Answers

Answer:

Angle BFC.

Step-by-step explanation:

Because angle BFD is a right angle because angle AFE is equal to BFD because of vertical angles

math makes me mad mad‼️‼️

Answers

695 km/h

explanation

3475/5 = 695

hope it helps...!!!

HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat

Answers

Answer
mechanical and light

What’s 36 km=?m into a desmal

Answers

Answer:  36,000 meters

Explanation:

To go from km to meters, multiply by 1000

This is because 1 km = 1000 meters

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.

Answers

The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,

[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]

[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]

If we take the borders of the table into account, the length and the breadth  of the table will become,

Length = (6+x+x) = (6+2x)

Width = (3+x+x) = (3+2x)

We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,

[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]

Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

Learn more about Quadratic Equation:

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Find the side labeled x.
HELP

Answers

Answer: 89

Step-by-step explanation:

60 + 31 = 91

180 - 91 = 89


If this isn’t correct then sorry :/

A window in the shape of a parallelogram had a base of 46 inches and a height of 45 inches. What is the area of the window?

Answers

Answer:

A = bh

A = 45 x 46

A = 2070 inches

Answer:

2070 squre in

Step-by-step explanation:

because the base is 46 and the height is 45 then we just multiply the two together to find the area.

so we solve it and we get

45*46=2070

How many sides does a dodecahedron have?

Answers

Answer:

A dodecahedron has 12 sides

Step-by-step explanation:

Hope that helps!

A cube has an edge length of 12 meters. What is its volume, in cubic meters?

Answers

V=1728m3
Explanation: V=a3=123=1728m3

Subtract 17a²b from 2a²b

Answers

Answer:

-[tex]15 {a}^{2}b[/tex]

What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.
A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet. i need help

Answers

Answer:

The volume is approximately 13 1/8 feet.

Step-by-step explanation:

Volume of a rectangular prism is calculated by multiplying the width, length, and height together.

3.5w × 2.5l × 1.5h = 13.125

13.125 = 13 1/8. The fraction cannot be reduced any further, so this is its simplest form.

In parallelogram GOST, angle G has a measure of 40°

What is the measure of angle T?

Answers

The answer would be 140 degrees.
The interior angles of a parallelogram adds up to 360°G + S = 180° and O + T = 180°

40° + S = 180°

- 40° + 40° + S = 180° - 40°

S = 140°

T = 140°

Please help me on this

Answers

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

Which of the following is a rational number(s)?
6
7
a.
b.
-1
10
Gold
-3
d. All of these
-15

Answers

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational
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