Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.

Answers

Answer 1

Answer:

Joe's present age = 36 years

Vika's present age = 20 years

Step-by-step explanation:

Let us represent the present age of

Joe = x

Vika = y

Joe's age exceeds by Vika's age by 16 years.

x = y + 16...... Equation 1

Four years ago, Joe was twice as old as Vika.

x - 4 = 2(y - 4)

x - 4 = 2y - 8........ Equation 2

We substitute y + 16 for x

y + 16 - 4 = 2y - 8

Collect like terms

16 - 4 + 8 = 2y - y

y = 20 years

We solve for x

x = y + 16...... Equation 1

x = 20 + 16

x = 36 years

Therefore, Joe's present age = 36 years

Vika's present age = 20 years


Related Questions

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

what am i sopposed to do?

Step-by-step explanation:

The fifth grade students at oakwood elementary school recorded their favorite ice cream flavor. How many students did not pick strawberry as their favorite ice cream flavor

Answers

Answer:

Step-by-step explanation:

Question 3
The CEO of Hot Tires compares factory production for his two factories using the data in the table shown below.
Factory A Factory B
Production Production
Monday 102
112
Tuesday 106
119
Wednesday 114
105
Thursday 98
96
Friday
101
113
Which inference is valid?
A
Factory B produced more tires than factory A because factory B has a median of 112 and factory A has a median of 102
B
Factory B has less variability in production because the range for factory B is smaller than the range for factory A.
с
Factory A has less variability in production because the range for factory A is greater than the range for factory B.
D
Factory B produced more tires than factory A because factory Bhas a mean of 109 and factory A has a mean of 104.2.

Answers

B I believe if not sorry

A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part

Answers

Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm

Find m<6 if m<8 = 112°

Answers

Answer:  112 degrees

Reason:

Angle 6 and angle 8 are corresponding angles because they are in the same southeast corner of their four-corner angle configuration. Corresponding angles are congruent when we have parallel lines like this.

To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?

Question 15 options:

Translate <3, 7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 1/3


Translate <3, 7> then dilate by scale factor of 1/3

Answers

Answer:

Translate <3, 7> then dilate by scale factor of 1/3

Step-by-step explanation:

-2 - (-5) = 3

3 - (-4) = 7

6/18 = 1/3

The sequence of transformation that will map the circle would be:

D). Translate <3, 7> then dilate by a scale factor of 1/3

Define dilation

Dilation is denoted as the process in which an object gets expanded or widened.

Given that,

Center of circle A = (-5, -4)

Radius = 18

Center of circle M = (-2,3)

To find the dilation,

⇒ [tex]-2 - (-5) = 3[/tex]

⇒ [tex]3 - (-4) = 7[/tex]

= [tex]6/18[/tex]

[tex]= 1/3[/tex]

Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.

Thus, option D is the correct answer.

Learn more about "Scale Factor" here:

brainly.com/question/22644306

Find the area of a circle with a radius 4 mm. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

A=50.24 mm²

Step-by-step explanation:

A=3.14×4²

A=3.14×16

A=50.24 mm²

Answer: 50.24

Explanation:
Formula is: A = (pi r squared)
So you multiply 16 times 3.14

(18x 5 + 6x 4 - 12x 3) ÷ 6x 2

Answers

your answer would be 26.
if u want reasoning just ask!
If I am reading this correctly but I might not because those could be x’s not times. If you follow PEMDAS(please excuse my dear aunt sally helps you remember) you start with parentheses then move to exponents then do you multiplication and Divison and addition and subtraction. So (18 x 5 + 6 x 4 - 12 x 3) you start there 18 x 5 is 90, 6 x 4 is 24, 12 x 3 is 36 so then add 90 +24 which is 114 and then minus 36 from 114. Which is 78. After all that go to 6 x 2 which is 12 from there you would have 78 divided by 12 which equals 6.5. Hopefully that helps but since I could tell if the they were x’s or times.

solve for sk and angle PQR.






Answers

Answer:

arc SK = 144°

∠PQR = 60°

Step-by-step explanation:

∠M = 1/2 (arc SK - arc NL)

37° = 1/2 (arc SK - 70°)

arc SK = 2*37° + 70° = 144°

∠PQR = 1/2 (small arc PQ) = 1/2 (360° - 240°) = 60°

Michael has $12.50 to buy school supplies. He spends $3.49 at one store for a package of glue sticks, but he still needs to buy for pens and a notebook. At the next store, he finds pens for $1.49 each. What is the most he can spend on a notebook if he buys the 3 pens? PLEASE HELP!

Answers

Answer: $ 4.54

Step-by-step explanation:

-4x+y=6 -5x-y=21 solve by substiution

Answers

Answer:

55

Step-by-step explanation:

55 is your answer

Answer:

Step-by-step explanation:

Subtract

2

y

from both sides of the equation.

x

=

12

2

y

x

=

y

6

Replace all occurrences of

x

with

12

2

y

in each equation.

Tap for more steps...

12

+

2

y

=

y

6

x

=

12

2

y

Solve for

y

in the first equation.

Tap for more steps...

y

=

2

x

=

12

2

y

Replace all occurrences of

y

with

2

in each equation.

Tap for more steps...

x

=

8

y

=

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

8

,

2

)

The result can be shown in multiple forms.

Point Form:

(

8

,

2

)

Equation Form:

x

=

8

,

y

=

2

(-3x)^2

wbat is this please ​

Answers

if you want me to solve (-3x)²

the answer is 9x²

Answer:

answer in the picture.......

A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?

Answers

Answer:

We are to find the number of different meals that are available when we select an appetizer, an entree and a dessert. Thus, the required number of different meals is 216.

Step-by-step explanation:

PLZZZZZZZZ GIVE ME BRAINLYIST

The required number of the combination is 384. Option C is correct.


A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu is to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

For  12 appetizers, 8 entrees, and 4 choices of desserts.
The number of  composite combinations that can be made = 12 * 4 * 8
                                                                                  = 384

The required number of the combination is 384. Option C is correct.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2

A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23 for 6 pounds of trail mix and 2 pounds of jellybeans the cost is $20 find the cost for each pound of trail mix in each pan of jellybeans

Answers

Answer:

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

I just took the test.

GIVING BRAINLIEST TO SOMEONE WhO CAN SOLVE ALL 3 OF THESE

Answers

Answer:

2. 20

3. 9

4. 24

2.4(7-2)^1=4(5)=20

3.2(8-1)^0 + 7= 2×1 + 7= 2+7=9

4. 3×4 + 12= 12 + 12= 24

Quadrilateral MNPQ is shown on the grid below.


What is the area, in square units, of the quadrilateral?

A) 182 square units

B) 4550 square units

C) 9100 square units

D) 91 square units

Answers

Answer:

42 square units

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

Area of the figure = 42 square units

When Frank buys three packs of pens, he knows he has 36 pens. When he buys five packs, he knows he has 60 pens. What is the constant of proportionality between the numbers of packs and the number of pens?

Answers

Answer:

just add

Step-by-step explanation:

96

Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5

Answers

Answer:

[tex]5x-4y+4=0[/tex]

Step-by-step explanation:

Given: A point  which is perpendicular to the line .

To find: The equation of the line which passes through [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex].

Solution:

We have, [tex]4x+5y=5[/tex].

Slope of the line [tex]4x+5y=5[/tex] is [tex]-\frac{4}{5}[/tex].

The line which passes through [tex](-4, -4)[/tex] is perpendicular to the line [tex]4x+5y=5[/tex].

Now, the product of the slopes of two perpendicular lines is [tex]-1[/tex].

Therefore, [tex]m\times-\frac{4}{5}=-1[/tex]

So, its slope is [tex]\frac{5}{4}[/tex].

Now, the equation of the line which passes through [tex](-4, -4)[/tex] and slope [tex]\frac{5}{4}[/tex] is:

[tex]y-(-4)=\frac{5}{4} [x-(-4)][/tex]

[tex]\Rightarrow y+4=\frac{5}{4} (x+4)[/tex]

[tex]\Rightarrow 4(y+4)=5(x+4)[/tex]

[tex]\Rightarrow 4y+16=5x+20[/tex]

[tex]\Rightarrow 5x-4y+20-16=0[/tex]

[tex]\Rightarrow 5x-4y+4=0[/tex]

Hence, the equation of the line that contains the point [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex] is [tex]5x-4y+4=0[/tex].

A group of friends are going ice skating. The price of admission is $3.25. As a group, they spent $14 on refreshments. If they spent a total of $30.25 on admission and refreshments, how many friends went ice skating?
2 friends
5 friends
14 friends
53 friends

Answers

Answer: 5 friends

Steps:
3.25x + 14 = 30.25
3.25x = 30.25 - 14
3.25x = 16.25
x = 16.25/3.25
x = 5

Check:
3.25x + 14 = 30.25
3.25(5) + 14 = 30.25
16.25 + 14 = 30.25
30.25 = 30.25 ✅

I would appreciate the brainliest if this was helpful had clear steps and was correct! :)

Answer:

5 friends

Step-by-step explanation:

I need help with my home work please​

Answers

Okay give me the questions by replying
Send s pic of your homework so I can assist you

What is the measure of ∠x? Please help!!

Answers

Answer:

73

Step-by-step explanation:

180-107=73

Which is the value of x?

Answers

Answer:

lower Right.

Step-by-step explanation:

Remark

The two angles share the same side of vertically opposite angles. That makes them supplementary which means the two angles add to 180 degrees.

Equation

4x + 8x + 12 = 180         Combine like terms on the left

Solution

12x + 12 = 180                Subtract 12 from both sides12x = 180 - 12                 Combine12x = 168                        Divide by 12x = 168/12x = 14

kale is a leafy green vegetable that is low in calories

Answers

Answer:

Yes

Step-by-step explanation:

Its 100% true :)

Answer:

yes this is true

Step-by-step explanation:

HAVE A GREAT DAY!!!!!!!!!!!!!!

3
Antonio's Pizza Shop charges
$12 for a large cheese pizza
plus $0.50 for each topping added.
Write an equation Antonio can use
to be able to determine the total (y)
for any large pizza no matter the
number of toppings ordered (x).

Answers

Answer:

C = 12 + 1.5t

Step-by-step explanation:

Answer:

$12 + x = y

Step-by-step explanation:

x = number of topping

y = total cost of pizza

Hope this helps :)

25% of
___= 4 what is the correct answer?

Answers

Answer:

Answer is 16%

Step-by-step explanation:

I hope it's helpful!

Answer:

16

Step-by-step explanation:

Do 4/ 1 over 4.  This simplifies to 4*4 so your answer is 16.  To check 4/16 = 0.25

The distance travelled by a delivery vehicle can be calculated by the equation Distance = Rate x Time. What would be the correct representation of a situation in which a driver doubles his original speed, but drives for only of the original amount of time? dn = new distance do = original distance

Answers

Answer:

New distance = 2do

Step-by-step explanation:

The distance equation :

Distance = speed * time

If speed is doubled ; time stays the same

If speed is doubled,; new speed becomes

Doubled speed = 2* speed

Time remains the same ;

Hence,

New distance becomes : 2 * speed * time

Original dista, Speed * distance

New distance, dn = 2*do = 2do

PLEASE HELP ME UHHH THaNKS IF U DO

Answers

Answer: need more explantion

Step-by-step explanation:

Answer: Mean: 39 Median: 50 Range: 7-55

Step-by-step explanation:

Hope this helps :D

Eric has a bag of carrots that weighs 3 pounds. He separates the carrots equally into 10 containers. How many pounds are in each container?

Answers

Answer:

3/10 pounds

Step-by-step explanation:

Distribute 3 pounds equally into 10 containers so it is 3/10 pounds in each container.

someone help for brainliest

Answers

Answer:

b and e

Step-by-step explanation:


PLEASE HELP IMMEDIATELY!! WILL GIVE BRAINILIESTT

Answers

Answer:

First box, fourth box, sixth box

Step-by-step explanation:

Positive in division means either both numbers are positive or negative

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