Answer: 15g+10a(less than or equal to <) 120
2g+3a<10
The system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:
[tex]a + g \geq 10[/tex]
[tex]10a + 15g \leq 120[/tex]
We can translate the given situation into inequalities to get the system of inequalities that we can use to find the amount of algebra and geometry problems that can be completed.
Thus:a = amount of algebra problems
g = amount of geometry problems
Therefore, the inequality that at least 10 geometry and algebra problems will be:[tex]a + g \geq 10[/tex]
Thus:
15 minutes for each geometric problem = 15g
10 minutes for each algebra problem = 10a
If all is intended to be taken within 120 minutes, therefore, the inequality that represents this will be:[tex]10a + 15g \leq 120[/tex]
Therefore, the system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:
[tex]a + g \geq 10[/tex]
[tex]10a + 15g \leq 120[/tex]
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please PlEaSe PLEASE SOLVE THIS!!!! I REALLY NEED HELP ON THIS. In ABC, m
Answer:
sorry, but there is nothing to answer here :(
Step-by-step explanation:
Answer:
in abc, M???
Step-by-step explanation:
The perimeter of a triangle is 120. If the ratio of the triangle's side is 4:5:6, what is the length of the shortest side?
Hey there ☺️
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here is ur answer ..
10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?
Answer:
$6100.80
Step-by-step explanation:
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
A tracksuit costs £25. The price goes up by 5%. What is the new price?
Answer: £26.25
Step-by-step explanation:
10% of £25 = £2.50
Half of £2.50 = £1.25
therefore if you add £1.25 to £25 it equals £26.25
The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?
Answer:
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?
Answer: 98268
Step-by-step explanation:
Given: In an international company,
Employees in one country = 22,700
If this is 23.1% of the total number of company's employees,
[[tex]1\%=\dfrac1{100}[/tex] , replace 'of' by '×']
i.e. 23.1% of (total employees) = 22700
[tex]\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268[/tex]
Hence, there are 98268 employees in total.
Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30I need help with a math problem
18 erasers cost $0.90, how much would 3 erasers cost?
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Use the distributive property to simplify the expression and then evaluate. Let x= 4 and y= -2
-6(-2x + 3y + 8)
Answer:
12v-18y-48
Step-by-step explanation:
-6(-2v+3y+8)
12v-18y-48
If the length of leg x is 12 feet, what is the length in feet of the hypotenuse of each triangle? Record your answer in the boxes below. Be sure to use the correct place value .
Answer:15.00
Step-by-step explanation:
Answer:
The length of the hypotenuse of each triangle is 13 feet. Below is the explanation
Step-by-step explanation:
Given:
In the middle, there is a square with 10 ft as the side length.
An Isosceles triangle formed on each side of the square which height as 12 feet.
To find:
The hypotenuse measure of the right triangle.
Let's use the Pythagoras theorem to find hypotenuse measures.
I'll attach the file to find the hypotenuse measure.
Hypotenuse measures 13 feet.
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Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six 1. Write the numerical expression. 2. Evaluate within parentheses. 3. There are no exponents to evaluate. 4. Multiply and divide from left to right. 5. Add and subtract from left to right.
The write and simplification of the numerical expression is as follows:
The calculation is as follows;1. Write the numerical expression.
[tex]42 \div 7 + (3 \div 6)[/tex]
2. Evaluate within parentheses.
[tex]42 \div 7 + 0.5[/tex]
3. There are no exponents to evaluate.
4. Multiply and divide from left to right.
[tex]6 + 0.5[/tex]
5. Add and subtract from left to right.
6.5
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Answer:
6.5
Step-by-step explanation:
guys I'm stuck plz help!!!!
Answer:
I believe 70
Step-by-step explanation:
Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional.
This is an example of direct variation.
So, 44 48
11 x
For this, you have to use the formula, 44x = 48 × 11
= (48 × 11) ÷ 44 = 12
Hence, your answer is 12 hours
68.8 rounded to one decimal place is ?
Answer:
68.8
Step-by-step explanation:
rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).
In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.
find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale
Answer:
4√5
Step-by-step explanation:
Let's call it x
According to Euclidean theorem x^2 = 5×16
x^2= 80 and
x = 4√5
A)distributive property of multiplication over subtraction
B)subtraction property of equality
C)associative property of multiplication
D)multiplication property of equality
Answer: sup brendalys it’s me Timotheus
Step-by-step explanation:
The answer is c I think
Which expression correctly sets up the quadratic formula with x^2+1=2x-3
Given:
The quadratic equation is
[tex]x^2+1=2x-3[/tex]
To find:
The expression that correctly sets up the quadratic formula with the given equation.
Solution:
We have,
[tex]x^2+1=2x-3[/tex]
[tex]x^2+1-2x+3=0[/tex]
[tex]x^2-2x+4=0[/tex]
On comparing with [tex]ax^2+bx+c=0[/tex], we get
[tex]a=1,b=-2,c=4[/tex]
The quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Putting [tex]a=1,b=-2,c=4[/tex], we get
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]
Therefore, the required expression is [tex]\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex].
The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches
Petra’s electricity supply company charges her a fixed quarterly sum plus a rate per unit for electricity used. In the most expensive quarter last year (January to March), she used 2 000 units and her bill was $250. In the least expensive quarter (July to September), she used 600 units and her bill was $138. She is now adding extra insulation to her home which is expected to reduce her overall electricity consumption by 25%. What can she expect her January to March bill to be next year (if there are no increases in overall tariffs)? *
Answer:
$210
Step-by-step explanation:
(January - March) charge last year :
Unit consumed = 2000
Bill = $250
(July - September) charge last year:
Unit consumed = 600 units
Bill = $138
Billing :
Fixed charge + rate per unit ;
Let fixed charge = c ; rate per unit = m
Billing can be represented by the equation :
mx + c = y
x = unit consumed ; y = total charge
Expensive quarter:
2000x + c = 250 - - - (1)
Least expensive quarter:
600x + c = 138 - - - (2)
From (2)
c = 138 - 600x ; plug into (1)
2000x + 138 - 600x = 250
1400x = 250 - 138
1400x = 112
x = 0.08
0.08 = x = rate per unit
From ; c = 138 - 600x
c = 138 - 600(0.08)
c = 90
Fixed charge = 90
Billing equation :
y = 0.08x + 90
If insulation will reduce unit consumption by 25%
Then, consumption in most expensive quarter will be :
(100 - 25)% * 2000
0.75 * 2000 = 1500 units
Charge will be :
(0.08*1500) + 90
= $210
What is a decimal that is equivalent to the fraction 6/10
Answer:
0.60 or 0.6
Step-by-step explanation:
To convert you devide the two 6/10 is 0.6
0.6 is a decimal that is equivalent to the fraction 6/10
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction represents a part of a whole.
The given fraction is 6/10.
The fraction is six by ten
In the given fraction is six and denominator is ten.
We need to convert 6/10 to the decimal which is equivalent.
10 is the divisor and 6 is the dividend.
6/10=0.60
Six by ten equal to zero point six
Hence, 0.6 is a decimal that is equivalent to the fraction 6/10
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whos prettier? doja cat or megan thee stallion
Answer:
The Stallion
Step-by-step explanation:
Answer:
megan thee stallion
Step-by-step explanation:
Help me please I realy need help
Answer:
sry i cant help u and your jumping horses
Step-by-step explanation:
please help all of it, tysm
Need help again ASAP
Answer:
According to my calculator, the answer should be A) 5/6
Which graph represents the function f(x)=-|x|-2?
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
Answer:
The answer is C.
I hope this helps you!
$213 ski jacket with a 30% discount and a 6% tax
158.04$.
What is discount?A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.
Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,
discounted price of jacket = 213 (1- 30%)
discounted price of jacket = 149 approx.
Total price of the jacket after-tax = 149 (1 + 6%)
The total price of the jacket after-tax = 158.04$
Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.
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Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)
Answer:
For part 1, it is true.
2h = 5 x 2 = 10
5 + 10 = 15
For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?
Answer:
8h +5=6h+15
8 x 5 + 5= 6 x 5 +15
35= 50
= 35/50
= 7/10
drag the numbers to the boxes to order them from least to greatest value
Answer:
what numbers?
Step-by-step explanation: