1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
3 years ago
13

an ice cream shop sold 48 vanilla milkshakes in a day, which was 40% of the total number of milkshakes sold that day. What was t

he total number of milkshakes sold that day?
Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

120\ milkshakes

Step-by-step explanation:

Let

x ----> the  total number of milkshakes sold that day

Remember that

40\%=40/100=0.40

we know that

The total number of milkshakes sold that day multiplied by the percentage of 40% in decimal form must be equal to 48

so

The linear equation that represent this problem is

0.40x=48

solve for x

Divided by 0.40 both sides

x=48/0.40\\x=120\ milkshakes

You might be interested in
Find the volume and surface area of the composite figure. Give your answer in terms of π. HELP ASAP!!
NARA [144]

Answer:

Part 1) The volume of the composite figure is 620.7\pi\cm^{3}

Part 2) The surface area of the composite figure is 273\pi\ cm^{2}

V=620.7\pi\cm^{3}, S=273\pi\ cm^{2}

Step-by-step explanation:

Part 1) Find the volume of the composite figure

we know that

The volume of the figure is equal to the volume of a cone plus the volume of a hemisphere

<em>Find the volume of the cone</em>

The volume of the cone is equal to

V=\frac{1}{3} \pi r^{2} h

we have

r=7\ cm

Applying Pythagoras Theorem find the value of h

h^{2}=25^{2} -7^{2} \\ \\h^{2}= 576\\ \\h=24\ cm

substitute

V=\frac{1}{3} \pi (7)^{2} (24)

V=392 \pi\cm^{3}

<em>Find the volume of the hemisphere</em>

The volume of the hemisphere is equal to

V=\frac{4}{6}\pi r^{3}

we have

r=7\ cm

substitute

V=\frac{4}{6}\pi (7)^{3}

V=228.7\pi\cm^{3}

therefore

The volume of the composite figure is equal to

392 \pi\cm^{3}+228.7\pi\cm^{3}=620.7\pi\cm^{3}

Part 2) Find the surface area of the composite figure

we know that

The surface area of the composite figure is equal to the lateral area of the cone plus the surface area of the hemisphere

<em>Find the lateral area of the cone</em>

The lateral area of the cone is equal to

LA=\pi rl

we have

r=7\ cm

l=25\ cm

substitute

LA=\pi(7)(25)

LA=175\pi\ cm^{2}

<em>Find the surface area of the hemisphere</em>

The surface area of the hemisphere is equal to

SA=2\pi r^{2}

we have

r=7\ cm

substitute

SA=2\pi (7)^{2}

SA=98\pi\ cm^{2}

Find the surface area of the composite figure

175\pi\ cm^{2}+98\pi\ cm^{2}=273\pi\ cm^{2}

4 0
3 years ago
The marketing research department of a computer company used a large city to test market the​ firm's new laptop. The department
Anika [276]

Answer:

a. Local maximum = 50 units per week.

b. The graph is never concave upward.

c. (0, 80)

Step-by-step explanation:

a. The revenue function is:

R(x) = 1275x-0.17x^3

The derivate of the revenue function for which R'(x) = 0 gives us the local extrema:

R'(x) =0= 1275-0.51x^2\\x=\sqrt{2,500}\\x=50

The second derivate of the revenue function determines if x =50 is local maximum or minimum:

R''(x) = -1.02x\\R''(50) = -1.02*50=-51\\

Since the second derivate yields a negative value, x = 50 units per week is a local maximum.

b. Since there are no local minimums in the range of 0 < x < 80, the graph is never concave upward.

c. Since there is only one local maximum  in the range of 0 < x < 80, the graph is concave downward from x>0 to x<80 or (0, 80)

6 0
3 years ago
Find the length of the leg x
Iteru [2.4K]

Answer:

15.23

Step-by-step explanation:

That is the missing side.

To find the answer, we need the Pythagorean theorem.

a^2 + b^2 = c^2

Let c be the missing side:

c = a2 + b2 = 142 + 62 ≈ 15.23155

C is equal to 15.23155

6 0
3 years ago
Read 2 more answers
-6 - 5 + 3 =<br><br> (worth 10 points)
jok3333 [9.3K]

Answer:

-8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector get
kogti [31]

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Umm so I have this homework I'm working on and it's telling me to solve the equations but I'm not good at this type of stuff. It
    11·1 answer
  • Find the equation of the line with slope 2/5 and y-intercept (0,−2).
    8·2 answers
  • ( x + 2 )^2 - ( y + 2 )^2
    6·1 answer
  • - 7/10 + ? = -2 9/20<br>Show your work.​
    12·1 answer
  • Which data set would be represented by a line graph?
    14·1 answer
  • Please help, I will give brainliest. I am struggling badly.
    6·1 answer
  • If an unfair coin comes up heads​ 60% of the time and tails​ 40% of the​ time, what is the expectation if heads is valued at 1 a
    15·1 answer
  • Expand and simplify 5(3x+2) -2(4x-1)
    5·2 answers
  • BRAINLY IF CORRECT!
    11·1 answer
  • What is 5.712g=in kg
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!