When Anna bought 10 cream puffs and ice creams, at $1.50 per
cream puff and $1.20 per ice cream, the total price was $13.80.
How many cream puffs and ice creams did she buy, respectively?​

Answers

Answer 1

Answer:

6 cream puff and 4 ice creams

Step-by-step explanation:

i = ice cream

p = cream puff

p+i= 10

1.50p + 1.20 i = 13.80

Multiply the first equation by -1.2

-1.20p -1.20 i = -12.00

Add this to the second equation

1.50p + 1.20 i = 13.80

-1.20p -1.20 i = -12.00

----------------------------------

.3p = 1.80

Divide each side by .3

p =6

Now find i

p+i = 10

6+i= 10

i= 10-6 =4


Related Questions

I NEED HELPPPPP!!! Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?

Answers

The answer is The third angle measures 120 degrees

Step-by-step explanation:

I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.

Help please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Larry rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 3.

Answers

Answer:

12/36 = 1/3

Step-by-step explanation:

draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.

you will results such as 11 12 13 14 15 16

21 22 23 24 25 26

and so on.

Then, you total up each of them and will get

2 3 4 5 6 7 from the first row

3 4 5 6 7 8 from 2nd row

and so on.

from the final results, count how many are multiples of 3.

we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.

An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP

Answers

Answer:

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Given: Distance covered by  aeroplane = 1500 km

It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr

To find: previous speed of the aeroplane

Solution:

Let x denotes the previous speed of the aeroplane.

Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours

If speed is increased by 100 km/hr, new speed = (x + 100) km/hr

Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours

According to question,

[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]

[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]

As speed can not be negative, [tex]x=-600[/tex] is rejected.

So,

previous speed of the aeroplane is 500 km/hr

Anybody please do e for me please

Answers

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

What is 2x^2-13x+15?

Answers

Answer:

(2x−3)(x−5)

Step-by-step explanation:

Factor 2x^2−13x+15

2x^2−13x+15

=(2x−3)(x−5)

hope this helps

-lvr

Answer:

Factored: (2x-3)(x-5)

Solving with quadratic formula: X= 5, 3/2

Step-by-step explanation:

-4/5 x 6/7

dont look it up bc they only give the big answers

Answers

Answer:

[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]

Step-by-step explanation:

It's just like regular multiplication:

[tex]\frac{Numerator}{Denominator}[/tex]

Numerator:

-4 × 6 = -24

Denominator:

-5 × 7 = -35

Just look below. That is the best of my abilities

Given r,s,t are midpoints of AC,AB, and CB use the figure below to complete the following problem

Answers

Answer:

The first option, RT.

Step-by-step explanation:

Now look at this information
[tex]2y + 3 \leqslant 11[/tex]

What is the largest value that y could be?​

Answers

Answer:

4

Step-by-step explanation:

Given

2y + 3 ≤ 11 ( subtract 3 from both sides )

2y ≤ 8 ( divide both sides by 2 )

y ≤ 4

Since y has to be less than or equal to 4

Then the largest value y could be is 4

Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation.  The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it.  If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant.  Since 241 is more than zero, it has 2 zeros.  If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

Find sin3A, cos
3A and tan 3A when sin=1/2

Answers

Answer:

Sin 3A = 1

cos 3A = 0

tan 3 A = undefined

Step-by-step explanation:

[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]

what’s the perimeter

Answers

Answer:

the answer is 10

Step-by-step explanation:

the other shape is half of all the degreed of the first one

Answer: 10

Step-by-step explanation:

AB:  3.0/2 = 1.5 = EF

BC:  5.0/2 = 2.5 = FG

CD:  4.0/2 = 2.0 = GH

DA:  8.0/2 = 4.0 = EH

1.5+2.5+2.0+4.0 = 10

Evaluate:
12.16 x .13 =

Answers

Answer:

1.5808

Step-by-step explanation:

rounded

hundreds

1.58

tens

1.6

first

2

Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answers

Answer:

The answer is 7x²

Step-by-step explanation:

Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²

Mark the statements that are true.
A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°

O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.

Answers

Answer:

Correct answers:

A. An angle that measures [tex]\frac{\pi}{6}[/tex]  radians also measures  [tex]30^o[/tex]

C. An angle that measures [tex]180^o[/tex]  also measures [tex]\pi[/tex]  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]

Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex]  radians angle, then its degree formula becomes:

[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]

also when an angle measures [tex]180^o[/tex]  , its radian measure is:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]

The other relationships are not true as per the conversion formulas

Answer:

the person abive is correct jzt to confirm

I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU

A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?

Answers

Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.

Area of a Rectangle = b x h

So, to find the height, we would reverse it by dividing the area by the base.

Work:

345/15 = 23

So, 23 would be our height.

Thus, the height of the rectangle is 23 millimeters.

Answer:

23 millimeters

Step-by-step explanation:

The area of a rectangle can be found using the following formula.

a=b*h

We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.

a=345

b=15

Substitute these variables into the formula.

345=15*h

We want to find out what the height, or h is.  In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.

345/15=15*h/15

345/15=h

23=h

Add appropriate units. In this case, the units are millimeters.

h=23 millimeters

The height of the rectangle is 23 millimeters.

(3 1/4 + 2 5/6) + 1 3/4

Answers

19/6

Step-by-step explanation:

3/4 + 5/3 +3/4

3/4 + 3/4 = 3/2

3/2 + 5/3 =19/6 or 3.16....

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

JKM AND GHK

Step-by-step explanation:

THE SUM OF THE TWO ANGLES IS 180°

_______________________________

Hey!!

The supplementary angles are <IHK and < IHF

Supplementary angles are those angles which is exactly 180 degree.

Hope it helps..

One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool Mom’ convertible?” This question contains: A.bias B.errors C.statistics D.data PLEASE HELPPPPPP

Answers

Answer:

Bias.

Step-by-step explanation:

It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.

Answer:

I hope this helps.

Step-by-step explanation:

y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.

Answers

Answer:

y= 201/40

Step-by-step explanation:

y=k (x÷z)

5 = (3÷4)k

cross multiply

20=3k

k= 6.7 or 67÷10

y = 6.7 (x÷z) the law

y = (6÷8) × 6.7

y = 0.75 ×6.7

y= 5.025 or 201÷40

In ΔIJK, the measure of ∠K=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of ∠I to the nearest tenth of a degree. I

Answers

Answer:

[tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.

Step-by-step explanation:

Please refer to the attached figure.

[tex]\triangle IJK[/tex] is shown with the following measurements:

[tex]\angle K = 90^\circ[/tex]

Side KI = 5.3 ft

Side JK = 2.1 ft

To find : [tex]\angle I[/tex] = ?

Using trigonometric identity for tangent of an angle:

[tex]tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here [tex]\theta = \angle I[/tex]

Perpendicular is side JK.

Base is side KI.

Putting the values in above formula:

[tex]tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ[/tex]

Hence, [tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.

Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5

Answers

the function of quadratic is number4

i think of a number, add 3 to it and multiply the result by 7.

Answers

Answer:

[tex]7(x + 3)[/tex]

Step-by-step explanation

thinked number = x

add 3 = +3

[tex]x + 3[/tex]

multiply the result by 7

[tex]7( x+ 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help correct answer will be given brainiest!

Answers

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)

Answers

Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

7(90) + 12(25) ≥ 1,000  

        630 + 300 [tex]\ngeqslant[/tex] 1000

   ⇒ 930 [tex]\ngeqslant[/tex] 1,000

x + y > 100

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

7(40) + 12(64.50) ≥ 1,000  

        280 + 774 [tex]\geq[/tex] 1000

   ⇒  1054 [tex]\geq[/tex] 1000

x + y > 100

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

7(30) + 12(80) ≥ 1,000

        210 + 960 [tex]\geq[/tex] 1000

   ⇒  1170 [tex]\geq[/tex] 1000

x + y > 100

        30 + 80 = 110 >100

D. (200,-10)

7(200) + 12(-10) ≥ 1,000

       1400 -120 [tex]\geq[/tex] 1000

   ⇒ 1280 [tex]\geq[/tex]1000

x + y > 100

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

For more details, prefer this link:

https://brainly.com/question/11897796

PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.

Answers

Answer:

The other leg is about 21.3 cm

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

11²+b²=24²

121+b²=576

Subtract 121 from both sides

b²=455

b=[tex]\sqrt{455}[/tex]

b≈21.3

Answer:

21.3 cm

Step-by-step explanation:

We need to apply the Pythagorean Theorem.

The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:

a² + b² = c²

11² + b² = 24²

121 + b² = 576

b² = 576 - 121 = 455

b = √(455) ≈ 21.3 cm

Thus, the answer is 21.3 cm.

~ an aesthetics lover

Find the volume of the pyramid.

Answers

Answer:

62.5 in cubed

Step-by-step explanation:

The formula is l*w*h divided by 3

5*5= 25

and 25*7.5= 187.5

187.5/3= 62.5

Pls mark brainliest!!

Answer:

[tex]62.5 {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Write down the value of angle y

Answers

Answer:

y= 71   Reason: alternate angle to 71 degrees

z = 44

Step-by-step explanation:

You already solve for x.

y = 71 because it is alternate to 71 degrees you see up there.

For z:

all angles inside a triangle sum upto 180

z=180-(71+65) = 44

2(2.5x+8)=26 help me please!!!

Answers

Answer:

x=12/5

Step-by-step explanation:

2(2.5x+8)=26

5x+14=26

5x=12

x=12/5

Answer:

The value of [tex]x[/tex]:

[tex]x = 2[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

[tex]2.5x + 8 = \frac{26}{2}[/tex]

-Divide [tex]26[/tex] by [tex]2[/tex]:

[tex]2.5x + 8 = \frac{26}{2}[/tex]

[tex]2.5x + 8 = 13[/tex]

-Subtract both sides by [tex]8[/tex]:

[tex]2.5x + 8 - 8 = 13 - 8[/tex]

[tex]2.5x = 5[/tex]

-Divide both sides by [tex]2.5[/tex]:

[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]

Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:

[tex]\frac{5}{2.5} = 2[/tex]

[tex]x = \frac{50}{25}[/tex]

Then, you divide [tex]50[/tex] by [tex]25[/tex]:

[tex]x = \frac{50}{25}[/tex]

[tex]x = 2[/tex]

So, the final answer would be [tex]x = 2[/tex] .

.............................

Answers

Answer:

[tex]\frac{18p-5}{30}[/tex]

Step-by-step explanation:

Answer:

18p-5 over 30.

Found in the LCM method

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