At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?

Answers

Answer 1

Answer: The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

Answer 2

$3 in the price of a Fruit bowl at the cafe.

What is the price of a fruit bowl at the cafe?

According to the given In the question,

Let,

price of a Salad = Sl

price of a fruit bowl = Fb

Fb price of a sandwich = Sd

Sl + Fb+sd=$12         ..1

2 SI + 2 Sd = $14       ..2

Sl + 3Pb Fb = $14      ..3

from equation 2

Sl = 7 - Sd

from equation 3

7 - Sd + 3Fb = 14

Sd  = 3Fb - 7

from equation 1

14- 3Fb+Fb+ 2(3Fb-7)=12

14- 2 Pb +6Fb-14=12

4Fb = 12

Fb = 3

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Related Questions

Find the volume of the pyramid.

Answers

Answer:

200cm³

Step-by-step explanation:

Volume=[tex]\frac{LXBXH}{3}[/tex]

so 10×10×6=600

600÷3=200

Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31

Answers

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

[tex]cos^{-1} (\frac{15}{31})[/tex]     Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!

While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.​

Answers

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

help me answer this <3

what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30

Answers

The answer is B
when taking a square root of 75 it is 8.66 which is between 8 and 9.

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

Thank you, Have a good day!

Prodigy math again. Please help,. will give brainliest if right!

Answers

Answer:

1. 6 6/10

2. 7 6/10

Step-by-step explanation:

Answer:

1. 8 6/10

2. 9 6/10

Step-by-step explanation:

Correct answers only!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

ZB=
Round your answer to the nearest hundredth.
С
2
А
3
?
B

Answers

Answer:

B = 41.81

Step-by-step explanation:

sin B = opposite/ hyp

sin B = 2/3

Take the inverse sin of each side

sin ^-1 sin (B) =sin ^-1 (2/3)

B =41.8103149

To the nearest hundredth

B = 41.81

Plzzzzz answer ASAP help meh

Answers

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

Which angle is coterminal to 2pi/3

Answers

the correct answer is -4π/3.

This is a very hard question!! its a math riddle, the teacher said that something like this will be in our test.

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?

Answers

Answer:

72

Step-by-step explanation:

Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So....  the labels are for the equation.

365m = 52x.

Since the grandson is 12w months old,

12w = months.

Since the grandson,  son and the person together are 120 years,

m + x + months = 120.

these are the labels (m, x, and month)

month = 624 x 120 / 1041 = 72.

So, I am basically 72 years old.

hope this helped :D

this is truly very hard.

Answer:

72

Step-by-step explanation:

The table represents the equation y=8x what y-value is missing from the table

Answers

Answer:

Step-by-step explanation:

There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.

Answer: 1, 3 , 5, and 6

I took the test have a great day!

             

Consider these triangles with two known angle
measures.
w
Answer the questions about the triangles.
Which equation can be used to determine the measure
of angle Q?
What is the treasure of angle Y?
48°
48R
What can be concluded about the measure of angle Q
and the measure of angle Y?
86x
86
Р
Y

Answers

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

What is angle sum property?

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

Learn more about angle sum property here

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Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26

Answers

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

6. Erin wants to have more than $150 before she goes shopping for gifts for
the holidays. Each time she babysits, she earns $7.50 per hour. Write and
solve an inequality to find h, the number of hours Erin needs to babysit in
order to meet her goal.

Answers

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

What are the solutions of the quadratic equation? x^2-9x+18=0

Answers

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

What integer represents a drop in temperature of 12°

Answers

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Can you plz answer question on the screenshot?

Answers

Answer:

Step-by-step explanation:

How many times larger is the volume of a sphere if the radius is multiplied by 5?

Answers

Answer:

Brainliest please

The  Volume is 125 times bigger.

Step-by-step explanation:

V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.

If you multiply the radius by 5 the it changes to

V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]

And when you simplify you get

V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]

And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.

Monica's family is thinking about going on a vacation. They are debating about whether
to go to Florida, Italy Mexico, or England. They are also trying to decide whether to go for
1 or 2 weeks. List the sample space (all of the possible outcomes) for their vacation
Destination
Vacation
Florida, Italy,
Mexico, England
1 week, 2 weeks​

Answers

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?

Answers

Answer:

Step-by-step explanation:

43feet

The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent

Answers

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3

Answers

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Hello!

Answer:

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

Explanation:

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

         

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Solve 3.4 [ 6 ( 4) +6^2]

Please show your work! <3

Answers

Answer:

204

Step-by-step explanation:

3.4[6(4)+6^2]=

3.4[24+36]=

3.4[60]=

204

Hope this helps!


What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

The reciprocal of the tangent is the ___.

A. tangent
B. secant
C. cosecant
D. cotangent

Answers

the awnser is d because it is the ratio of the adjacent side to the opposite side in a right triangle

A rectangle is sometimes, always, never similar to another rectangle

Answers

Two rectangles can be similar, but that's not always guaranteed.

In fact, similar shapes have the same angles and correspondant sides in proportion.

All rectangles will always have four right angles, so we only have to worry about the sides.

Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].

Then, the two rectangles are similar if and only if

[tex]a\div c=b\div d[/tex]

So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).

Pythagorean theorem :

There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?

Answers

The correct answer is 4.
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