Ava, Zoe and Logan went to the market to buy some presents for a friend's birthday. The three of them
together spent $720. If Logan spent twice as much Zoe did and Zoe spent $40 less than Ava did, how
much did each of them spend?

Answers

Answer 1

a + z + l = 720

l = 2z = 2a - 80

4z + 40 = 720

4z = 680

z = 170

l = 340

a = 210


Related Questions

select the correct word form for 56,078​

Answers

Answer:

Fifty six thousand and seventy eight

Step-by-step explanation:

Fifty six thousand and seventy eight

An item has a listed price of 30$ if the sales tax rate is 5% how much is the sales tax in dollars?

Answers

Answer:$1.5

$30*5/100=15/10=3/2=$1.5

Step-by-step explanation:

PLS HELP ASAP! ITS DUE NOW!!!!

Answers

Answer:

Step-by-step explanation:

5) Volume  = Volume of rectangular prism 1  + volume of rectangular prism2

 =  10* 6 * 4 +  (7*4*2)

 = 240 + 56

 = 296 cm³

6) Volume = (5*6*8) + (9*6*2)

                  = 240 + 108

                   = 348 ft³

7) Volume = (11*12*4) + (5*5*12)

                 = 528 + 300

                 = 828 m³

okooooooooooooooooooooooooooooooo

Answers

Answer:

-x(x+2)(x-4)

not sure what answer choice it is

A poll is given, showing 30% are in favor of a new building project.

If 5 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?

Answers

Answer:

0.02835

Step-by-step explanation:

Let p be the probability who are in favor of the project and q be the probability who are not in favor of the project.

p = 30% = 0.30

q = 1 - p = 1 - 0.30 = 0.70

n = 5, x = 4

Now, by binomial distribution formula:

[tex]P(X=x)=^nC_x \:p^x \:q^{n-x}[/tex]

[tex]\implies P(X=4)=^5C_4\: (0.30)^4\: (0.70)^{5-4}[/tex]

[tex]\implies P(X=4)=5 (0.30)^4 \:(0.70)^{1}[/tex]

[tex]\implies P(X=4)=5 (0.0081) \:(0.70)[/tex]

[tex]\implies P(X=4)=0.02835[/tex]

The probability that exactly 4 of them favor the new building project is 0.02835.

Help me please!!!!!!!

Answers

1. ⬛⬜⬜⬜
   ⬛⬛⬛⬜

2. I would need more information on this problem to help you. Sorry :((

3. Right Triangle is correct.

4. g = 33 - 8 - 9
g = 25 - 9
g = 16

5. ⚫◐◯

Determine if true:
3x4x2^2=39

Answers

Answer:

False

Step-by-step explanation:

2^2=4

4x4=16

3x16=48

48=39

The numbers don't match.

Hence, the equation is false.

Answer: It is wrong when you multiply it it becomes 48 so it is false

Step-by-step explanation:

MATH PROJECT HELP
HELP

WILL MARK YOU BRAINIEST IF U ANSWER

in edge

it is a performance task the first one is the second quarter
there are two pictures so look at both

Answers

Range is a better measure of spread in this scenario since the distribution is not normal

In the diagram below, which description is correct?
A ZEBC is an acute angle
B ZDBF is an obtuse angle
C FBD is a right angle
D ZABE is a straight angle

Answers

Answer:

c. fbd is right angle

Step-by-step explanation:

fbd=fbe+ebd=65+25=90= right angle

therefore ans is c

The diameter of a circle is 4 yards.
What is the circle's circumference
d = 4yd
use 3.14 for Pi

Answers

Answer:

12.56 yards

Step-by-step explanation:

circumference = π x diameter

4 x 3.14 = 12.56

Answer:

12.56

Step-by-step explanation:

A plant is already 43 centimeters tall, and it will grow one centimeter every month.
Let H be the plant's height (in centimeters) after M months.
Write an equation relating H to M. Then use this equation to find the plant's height after 21 months.

Answers

Answer:

h=m+43, 66cm

Step-by-step explanation:

For each month, it grows by one centimeter, which is represented by 1m or just m. You also have to add the height it already has, which makes h=m+43. For 21 months, substitute 21 for m to get h=21+43 which simplifies into h=66 cm

9. y + 7 = 2x
2y = 4x - 14

Solve each system of equations by substitution

Answers

First get Y by itself
Y+7=2x
-7 -7
Y=2x-7
Then put the y into the other equation
2(2x-7)=4x-14
4x-14=4x-14
+14 +14
4x=4x+0
-4x -4x
X=0
Now that you know x = 0 put it in the first equation
Y+7=2(0)
Y+7=0
-7 -7
Y= -7

X= 0
Y=-7
:)

Find the value of x

Can u please explain

Answers

Answer:

can u please tell what is 158° here

Answer:

x = 11

Step-by-step explanation:

the inscribed angle CDE is half the measure of its intercepted arc CE , so

8x - 9 = [tex]\frac{1}{2}[/tex] × 158 = 79 ( add 9 to both sides )

8x = 88 ( divide both sides by 8 )

x = 11

use co-function and expansion of cos[(90-a)- B] to show that: sin(a+b) = sinacosb +sinbcosa​

Answers

Step-by-step explanation:

[tex] \cos((90 - a) - b) = \cos(90 - a) \cos(b) + \sin(90 - a) \sin(b) [/tex]

[tex] \sin(a) \cos(b) + \cos(a) \sin(b) [/tex]

In polnt-slope form for the line that passes Through (-2,-4) and (2,8)

Answers

Answer:

y+4=3(x+2)

Step-by-step explanation:

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

m=(8-(-4))/(2-(-2))

m=(8+4)/(2+2)

m=12/4

m=3

y-y1=m(x-x1)

y-(-4)=3(x-(-2))

y+4=3(x+2)

Julia collects teddy bears. She has 12 bears. She plans on buying 3
more the next time she goes to the toy store. By what percent will
her collection increase by?

Answers

He collection will increase by 25% of the 12 she originally had.

Hope this helped

Answer:

25%

Step-by-step explanation:

3 bears increase is a fourth of 12. So a fourth of 100 is 25 percent increase.

What is the area of this figure?
9 mm
12 mm
12 mm
2 mm
6 mm
4 mm
2 mm
11 mm

Answers

Answer:

186.5663

Step-by-step explanation:

12*9=108

11*6=66

pi4^2=50.26548/4=12.5663

add all together

186.5663

Enter segments in the blanks provided that would result in a true equation
JK
1
Submit Answer
IK
attempts out of 2

Answers

The true equation for this situation is given as JK/IK = MK/LK

What are similar figures?

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Both triangles IJK and triangle KLM are similar triangles. Hence:

JK/IK = MK/LK

The true equation for this situation is given as JK/IK = MK/LK

Find out more on similar figures at: https://brainly.com/question/14285697

Which of the following is a proper fraction? A. 9/8 B. 5/6 C. 4/2 D. 7/3​

Answers

Answer:

B/ 5/6

Step-by-step explanation:

5/6 represents a part of a whole while the others represent a part of a whole AND a whole.

the ages of a father and his son are in the ratio 10:3. if the son is 15 years now, how many years will the ratio of their ages be 2:1?​

Answers

Answer:

20 years

Step-by-step explanation:

let the present age of father=x

[tex]\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\[/tex]

present age of father=50 years

let after y years ages are in the ratio 2:1

[tex]\frac{50+y}{15+y} =\frac{2}{1}[/tex]

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y

can 9 x + 6x be simplified​

Answers

Answer:

=15x

Step-by-step explanation:

write equivalent fractions for 2/3 and 1/4using 12 as the common denominator

Answers

Answer:

2/3 = 8/12

1/4 = 3/12

Step-by-step explanation:

2/3

12/3 = 4, so for the fraction 2/3, we multiply the numerator and denominator by 4.

2/3 = 8/12

1/4

12/4 = 3, so for the fraction 1/4, we multiply the numerator and denominator by 3.

1/4 = 3/12

Answer:

[tex]\frac{8}{12}[/tex] and  [tex]\frac{3}{12}[/tex]

Step-by-step explanation:

To do this, you must multiple the numerator and denominator of each fraction by whatever number gives you 12 on bottom.

for [tex]\frac{2}{3}[/tex] , you would multiply it by 4 since 4×3=12. You would also need to multiply the top by 4, making that fraction [tex]\frac{8}{12}[/tex]

For [tex]\frac{1}{4}[/tex] , multiply it by 3, which would equal [tex]\frac{3}{12}[/tex]

A potato gun is a device made out of plastic pipe that launches a potato using compressed air. They
can be great fun, and even educational for physics and math, as this question illustrates. A potato
launched by a particular potato gun has a height described by h(t)
- 16t2 + 168t + 5. When
is the potato 325 feet in the air?
king Online
The potato is 325 feet in the air after
seconds on the way back down.
Submit Question
seconds on the way up and after

Answers

Answer:

1.68 seconds.

Step-by-step explanation:

The question, is, essentially asking for time, t, at position 325 feet.

So:

Set h(t) equal to 325.

325 = 16t^2 + 168t + 5

Subtract 325 over, to get the quadratic:

0 = 16t^2 + 168t - 320

Factor out an eight, simply to make the equation easier:

0 = 2t^2 + 21t - 41

Now, use the quadratic formula to find the "zeros", or solutions:

{-21 + (21^2 - [(4)(2)(-41)]^.5}/(2)(2); {-21 - (21^2 - [(4)(2)(-41)]^.5}/(2)(2)

Simplify:

(-21 + [441 + 328]^.5)/4; (-21 - [441 + 328]^.5)/4

(-21 + [769]^.5)/4; (-21 - [769]^.5)/4

(-21 + 27.73)/4; (-21 - 27.73)/4

(6.73)/4; (-48.73/4)

t = 1.68, -12.18

It makes no sense for t to be negative, since t represents time.

Therefore, the potato is 325 feet in the air after 1.68 seconds.

I hope this helped! :)

The potato is 325 feet in the air after 1.68 seconds on the way back down.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The question is effectively inquiring about time, t, at 325 feet.

Set h(t) equal to 325.

325 = 16t² + 168t + 5

Subtract 325 over, to get the quadratic:

0 = 16t² + 168t - 320

Factor out an eight, simply to make the equation easier:

0 = 2t² + 21t - 41

2t² + 21t - 41 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = 2, b = 2 and c = -12

Now, use the quadratic formula to find the "zeros", or solutions:

[tex]\quad x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]t=\dfrac{-21\pm \sqrt{21^2-4\cdot \:2\left(-41\right)}}{2\cdot \:2}[/tex]

[tex]\sqrt{21^2-4\cdot \:2\left(-41\right)}[/tex]

[tex]=\sqrt{21^2+328}[/tex]

t = (-21 + 27.73)/4; (-21 - 27.73)/4

t = (6.73)/4; (-48.73/4)

t = 1.68, -12.18

Because t symbolizes time, it makes no sense for it to be negative.

As a result, after 1.68 seconds, the potato is 325 feet in the air.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

Can somebody help me out and show me what the answer is

Answers

Answer: h(-3) = -38

Step-by-step explanation:

x(-3)^2 = 9

2(-3) = -6

h(-3) = -2(9 - -6 + 4)

h(-3) = -2(19)

h(-3) = -38

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 3x - 4y - 5z = -27 5x + 2y – 2z = 11 5x - 4y + 4z = -7 (1,5, 51 b. (10, 5, 51 ) .. ( 10, 51, 23) d. (1,5, 2) ​

Answers

Answer:

D. (1, 5, 2)

Step-by-step explanation:

Substitute all numbers into the variables  

Same just hired a new employee to work in your bakeshop. In one hour, the employee burned 55 chocolate chip cookies. If this represented 15% of the day’s production, how many cookies did you plan on producing that day?

Answers

Answer:

366.6

Step-by-step explanation:

55 divided by 15=36.6

Then you multiply it by 100 which equals 366.6

PLEASE ANSWER I'LL GIVE BRAINLIEST

Answers

Answer:

Is always a parallelogram

Step-by-step explanation:

it has equal sides uwuwuwuwuwuwuwuwu

Answer: a parrallelogram  is never a hexagon

Step-by-step explanation:

a hexagon can be a parallelogram but a parallelogram can be a rhoumbus,rectangle and square

Tina plans on going bowling this weekend, and there are two bowling alleys in her town. The Bowling Pin charges $5 for shoe rental and $3.50 per game. The Alley Way charges $3 for shoe rental and $4 per game. Write an inequality to show when The Bowling Pin is the best deal for Tina.

A) 5 + 3.5x < 3 + 4x
B) 5 + 3.5x > 3 + 4x
C) 5x + 3.5 < 3x + 4
D) 5x + 3.5 > 3x + 4

Answers

Answer:

B

Step-by-step explanation:

the options A and B are the ones that make sense

to get rid of one of the options, you have to substitute.

lets try 6

5+ 3.5(6)= 5+21= 26

3+ 4(6)= 3+24 = 27

in that example, the Bowling Pin is the best deal for Tina

The rectangle below has an area of x^2-7x+10x and a width of x-5x−5x meters.
What expression represents the length of the rectangle?

Answers

Answer:

The expression for length of the rectangle is x-2 meters.

Step-by-step explanation:

Given the area of the rectangle as : x²- 7x+10 square meters

The width of the rectangle is : x-5 meters

Area of a rectangle is given by the product of its length and width.

Dividing the expression for area with the expression for width will give the expression for length.

Here, perform the long division of the polynomial; where the numerator is  x²- 7x+10 and the denominator is x-5

First divide  x²- 7x+10 by x-5 to get x

Multiply x by x-5 to get x²-5x

Subtract x²-5x from x²-7x+10 to get  -2x+10

Then divide -2x+10 by x-5 to get -2

Multiply x-5 by -2 to get -2x+10

Perform subtraction to remain with zero.

The expression for length will now be x-2 meters

100 POINTS!!! 100 POINTS!!!

Each month, Morse budgets $3,900 for fixed expenses, $676 for living expenses, and $561 for annual expenses. His annual net income is $67,796. Describe his monthly budget by using a positive number to show how much of a surplus there is, a negative number to show how of a deficient there is, or zero if it is a balance budget.

Show work clearly for 100 POINTS!!!

Answers

Answer:

$512.67 (surplus)

Step-by-step explanation:

Monthly fixed expenses = $3,900

Monthly living expenses = $676

Monthly annual expenses = $561

⇒ Total monthly expenses = 3900 + 676 + 561 = $5,137

Annual net income = $67,796

⇒ Monthly net income = $67,796 ÷ 12 = $5,649.67

Monthly budget = Monthly net income - Total monthly expenses

                           = $5,649.67 - $5,137

                           = $512.67 (surplus)

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