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
Westkost [7]
3 years ago
11

Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures alr

eady. He and his two friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?
Mathematics
2 answers:
irina [24]3 years ago
7 0

Answer:

The inequality would be 3x ≥ 80 - 23, which simplifies to x ≥ 19

Step-by-step explanation:

In this equation, x would be for each student. Since there are 3 students, we know that we can multiply their number by 3. We also know they need 23 less than 80. After creating this equation, we can solve.

3x ≥ 80 - 23

3x ≥ 57

x ≥ 19

Kitty [74]3 years ago
6 0

each person needs to get at least 19 signutures more.

80 - 23 = 57

57 \div 3 = 19

x \geqslant 19

hopefully this helps.

You might be interested in
A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu
Svet_ta [14]

Answer:

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

V = \dfrac{1}{2}(bh)\times L

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

\dfrac{b}{h} = \dfrac{5}{7}

b=\dfrac{5}{7}h this can be substituted back in the volume equation

V = \dfrac{5}{14}h^2L

the rate of the water flowing in is:

\dfrac{dV}{dt} = 6

The question is asking for the rate of change of height (m/min) hence that can be denoted as: \frac{dh}{dt}

Using the chainrule:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h

V = \dfrac{5}{14}h^2L

\dfrac{dV}{dh} = \dfrac{5}{7}hL

reciprocating

\dfrac{dh}{dV} = \dfrac{7}{5hL}

plugging everything in the chain rule equation:

\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}

\dfrac{dh}{dt}=\dfrac{7}{5hL}\times 6

\dfrac{dh}{dt}=\dfrac{42}{5hL}

L = 12, and h = 1 (when the water is 1m deep)

\dfrac{dh}{dt}=\dfrac{42}{5(1)(12)}

\dfrac{dh}{dt}=21 \text{m/min}

the rate of change of height when the water is 1 meter deep is 21 m/min

6 0
3 years ago
Read 2 more answers
How do you multiply 12x12 step by step?
geniusboy [140]

Answer:

144

Step-by-step explanation:

 

 12

X12

------

 

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

 

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 

 12

X  2

-----

 

Begin by multiplying 2 X 2 first, in the "ones" column.

 

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

 

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

 

2 X10=20

 

Place your 2 in the "tens" column--It should look like this...

 

 12

X  2

-----

 24

 

Since you are finished with the "ones" place, now you will work with the tens column.

 

put a zero under the 4 in 24.

 

then continue like this

 

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

 

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

 

If you have a times table, you can check yourself.

 12 X12=144

8 0
3 years ago
Read 2 more answers
Miles incorrectly gave the product of 7 * 2.6 as 14 * 42 to use a place value chart or an area model to help miles understand hi
mrs_skeptik [129]
It looks like he used the distributive property. He multiplied 7*2. Then. 7*6. Then he multiplied them together. That is not how you multiply numbers

7 0
3 years ago
A zip line takes passengers on a 200 m ride from high up in the trees to a ground level platform. If the
attashe74 [19]

The zip line forms a right triangle with the tree, when elevated

The height of the tree is 35 meters

<h3>How to calculate the height of the tree</h3>

Represent the height of the tree with h.

So, the height h is calculated using the following sine function

\sin(10) = \frac{h}{200}

Make h the subject

h = 200 * sin(10)

Evaluate the product

h = 35 meters

Hence, the height of the tree is 35 meters

Read more about right triangle at:

brainly.com/question/2217700

7 0
3 years ago
Given the graph and the equation y = 2x2 - 8x + 3, which one has the smaller minimum and by how much?
krek1111 [17]

Answer:

Y=4+3-8x

Y=7-8x

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write 6.04 x 10^-3 as an ordinary number
    10·1 answer
  • 2xy = W<br> solve for x?
    8·1 answer
  • Express 56 as the product of its prime factors.
    8·1 answer
  • Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n
    13·1 answer
  • Plane W and Plane B intersect at which following?
    11·1 answer
  • If 8y+12=36 find the value of 2y
    13·2 answers
  • Write in exponential notation (-3)^6/ (-3)
    14·2 answers
  • The amount of Rs.1000 at the annual rate 10% is Rs .1200​
    14·1 answer
  • Determine the intercepts of the line.<br><br> y-intercept:<br><br> x-intercept:
    7·1 answer
  • Write an equation in slope-intercept form of the line that is a segment bisector of both
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!