Solve the problem by multiplying first.

Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of

$25.75. Each donut cost $0.55 and each bagel cost $1.20. The system of equations

b + d = 35

1.200 + 0.55d = 25.75 models this situation, where b is the number of bagels and d

is the number of donuts. How many of each did Jamian buy?

{ 1.200

Jamian bought

bagels and

donuts.

Answers

Answer 1

Answer:

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = [tex]\frac{16.25}{0.65}[/tex] = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25


Related Questions

Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median

Answers

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

Learn more about Altitudes of Triangles here :

https://brainly.com/question/2272632

#SPJ7

lloooooook belooooow please help giving brainliest

Answers

Answer:

Do you need the fourmulas?

Step-by-step explanation:

Which of the following shows the correct evaluation for the exponential expression 1 over 5 to the power of 3?

1 over 5 times 3 equals 3 over 5
1 over 5 times 1 over 5 times 1 over 5 equals 1 over 125
1 over 5 plus 3 equals 3 and 1 over 5
1 over 5 divided by 3 equals 1 over 15
Question 2(Multiple Choice Worth 2 points)

(06.01)

Write the following expression in exponential form:

7.2 × 7.2 × 7.2 × 7.2 × 7.2 × 7.2

7.2 × 6
67.2
7.26
7.2 + 6
Question 3(Multiple Choice Worth 2 points)

(06.01)

If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

11 × 11 × 11
311
11
113
Question 4(Multiple Choice Worth 4 points)

(06.01)

What is the value of the expression shown below?

7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3

8
8 and 1 over 6
8 and 1 over 8
79
Question 5 (Fill-In-The-Blank Worth 2 points)

(06.01)

What is the value of the expression 24 + 32?

Numerical Answers Expected!

Answer for Blank 1:


Question 6(Multiple Choice Worth 4 points)

(06.01)

What is the value of the expression shown below?

3 over 5 to the power of 2 + 4 × 3 − 2

10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25
Question 7 (Fill-In-The-Blank Worth 4 points)

(06.01)

WHOEVER ANSWERS ALL WILL GET BRAINLIEST!!!
Evaluate the expression 53 ÷ (13 − 8) × 2.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer: The second answer to the question is 7.2 + 6.

Step-by-step explanation:

Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341

Answers

Answer:

334

Step-by-step explanation:

○=> Correct option :

[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]

○=> Steps to derive correct answer :

Money Jefferson needs to collect = $500

Selling price of each baked good = $2

Cost price of each baked good = 0.50

Number of baked goods Jefferson need to sell to meet his goal :

[tex] =\tt \frac{500}{2} \times 0.50[/tex]

[tex] =\tt 250 \times 0.50[/tex]

[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]

Thus, Jefferson needs to sell 125 baked goods.

▪︎Therefore, the correct option is (a) 125.

y = 3x - 2
y = 4x - 5

Answers

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Write an equation for (-1,-2),(-3,-4)

Answers

Answer:

y=x+1

Step-by-step explanation:

First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:

-4--2/ -3--1= -2/-2= 1

so the slope is 1

Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b

-3=-4+b

1=b

now plug the slope and y intercept in:

y=x+1

hope this helps :D

Use this system of equations to answer the questions that follow.

4x – 9y = 7

–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?


What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?

Answers

Answer:

To eliminate the x-terms, multiply the second equation by 2.

To eliminate the y-terms, multiply the second equation by 3.

Step-by-step explanation:

The first step of solving by elimination requires that you eliminate either the x-terms or y-terms by making the two terms have the same coefficient, but opposite signs.  

So, if you wanted to eliminate the x-terms, you could multiply the second equation so that its x term has the same coefficient as the x-term in the first equation, but with opposite signs. The x-term in the first equation is 4x. The x-term in the second equation is -2x. They already have opposite signs, so we just need the -2x to become -4x. -4x divided by -2x is 2, thus you would multiply the second equation by 2.  

If you wanted to eliminate the y-terms, the process is the same. The y-term in the first equation is -9y and the y-term in the second equation is 3y. Again, they already have opposite signs, we just need 3y to become 9y. 9y divided by 3y is 3, thus you would multiply the second equation by 3.

Answer:

to eliminate x, u would multiply second equation by 2

to eliminate y, u would multiply second equation by 3

Step-by-step explanation:

In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.




Round 0 1 2 3 n

Points 25 75 225 675



Which equation shows the number of points available, p, in round n of the game show?

Answers

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

Explicit formula of a geometric sequence is given by,

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

Common ratio (r) of any successive term to the previous term,

        [tex]r=\frac{75}{25}=3[/tex]

First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

https://brainly.com/question/11385300?referrer=searchResults

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)

Answers

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

What is the Unit price of 5 tickets for $5.00 ?

Answers

The unit price of five tickets for five dollars is $25

Answer:

$25

Step-by-step explanation:

There are 1,775 pennies in Isaiah’s jar. If 25 pennies are needed to fill a bag, how many whole bags can Isaiah fill?

Answers

Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

I’m struggling with this could you help me pls

Answers

x=0, y=6
x=1, y=4
x=2, y=2
x=3, y=0
x=4, y=-2

Hope this helps :)

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7

Answers

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Answer:

C d

Step-by-step explanation:

3s algebraic expression in word form

Answers

Answer:

trice the number"s"

Step-by-step explanation:

is this   wht  u want ? like am i rght? if not pls delete my answer.

Answer:

Thrice a number

Three times the variable "s"

Step-by-step explanation:

Hope it helps!!!

Two sisters want to save money to buy a game. The game costs $90. One sister has $36 and the other has $40. How much more money do they need?

Answers

14. 36+40= 76. 90-76=14. Please mark me Brainliest!
Well that is simple, 36 plus 40 is 76 then you do 90-76=14 that means 14 dollars

find the missing angle​

Answers

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

In which quadrant does the terminal side of 225° angle in standard position lie

Answers

Answer:

4 th quadrant

Step-by-step explanation:

olz make me brainliest

Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3​

Answers

Answer:

-x+3

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

(-x^2 + x) + (3 x - 3)

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3

y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step

Answers

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ok


[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x​

Answers

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

[tex]x = - 2[/tex]

Answer:

x=-5

Step-by-step explanation:

2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5

A circle has its centre at the origin and has a radius of 5.
What is its equation?​

Answers

Formula is (x-h)2+(y-k)2=r2

Answer:

x²+y²=25

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x-0)²+(y-0)²=5

x²+y²=25

Solve for x.
7(x - 3) + 3(4 - x) = -8


x = 25/10
x= -16/19
x= -41/10
O x = 1/4

Answers

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

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

Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.

Answers

Answer:369

Step-by-step explanation:

a) The regular price of a T-shirt is $18. What is the discounted price?

b) If the regular price of an item is x dollars, what is the discount price in dollars?

c) The discounted price of a hat is $18. What is the regular (original) price?

help fast!!!​

Answers

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

what is y=4/5x+2 in standard form​

Answers

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10






Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?

Answers

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

$10

Step-by-step explanation:

$500/50= 10

He needs to earn $10 an hour x the 50 hours = $500

7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->

Answers

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

how about this one −p+
5
3

q−
10
1

q+
9
1


9
1

p

Answers

Answer:

NaNx10^-23

Step-by-step explanation:

The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions

Answers

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

Enter the number that belongs in the green box

Answers

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent

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