Answer:
2
Step-by-step explanation:
There are 2 units of distance separating -5 and -3.
what is 241.5 divided by 14 rounded to the nearest tenth
Answer:
17.3
Step-by-step explanation:
241.5 divided by 14 is 17.25 rounded up its 17.3
Aaron’s dad rents out the local skating rink for a party for $150 and food will cost $3 per person. If his budget is $300, how many people can Aaron invite?
Answer:
50 persons
Step-by-step explanation:
Given:
Aaron’s dad rents out the local skating rink for a party for = $150
Food will cost per person = $3
Question asked :
how many people can Aaron invite = ?
Solution:
Total budget = $300
Rent of skating rink = $150
Remaining money for food = 300 - 150
= $ 150
Each person's food cost = $3
Number of people can Aeron invite = Remaining money divided by each person's food cost
Number of people can Aeron invite = [tex]\frac{150}{3}[/tex]
= 50 persons
Last night, 4 friends went out to dinner at a restaurant. They split the bill evenly. Each friend paid $12.75 for his or her meal and each left the same amount for a tip, t. The total dinner bill including the tip was $61. What equation could you use to describe the situation?
Final answer:
To create the equation representing the situation, calculate the total meal cost by multiplying each friend's share by four and then add four times the tip to equal the final bill of $61. The equation is 4 times $12.75 + 4 imes t = $61.
Explanation:
To solve the problem using an equation, we need to consider the cost of each meal and the tip each friend left. Four friends each paid $12.75 for their meal, which gives us the cost of the meals alone: 4 times $12.75 = $51. The tip, t, needs to be added four times (once for each friend) to the total cost of the meals to reach the final bill of $61.
Therefore, the equation to represent the situation would be: 4 times $12.75 + 4 times t = $61.
Once we have the equation, we can solve for the tip, t, to find out how much each friend left for the tip.
What kind of number is the square root of 16
Answer:
4 is the square root of 16 :)
Step-by-step explanation:
Answer:
I think the answer you're looking for is four?
Find the number z, if 1 4/11 of z is 45. (FIRST PERSON TO ANSWER CORRECTLY GETS 5 STARS AND A THANKS.)
The value of z in the equation [tex]1\frac{4}{11}[/tex] of z is 45 is 33.
Solution:
Given: [tex]1\frac{4}{11}[/tex] of z = 45
To find: The value of z
On solving the given equation,
[tex]1\frac{4}{11}\times z=45[/tex]
[tex]\Rightarrow\frac{1\times11+4}{11}\times z=45[/tex]
[tex]\Rightarrow\frac{15}{11}z=45[/tex]
On grouping the like terms in one side we get,
[tex]\Rightarrow z=45\times\frac{11}{15}[/tex]
On solving the values we get,
[tex]\Rightarrow z=3\times11\rightarrow33[/tex]
The required value of z is 33.
Steps to convert a mixed fraction into an improper fraction:
Step 1: Multiply the whole number part by the fraction's denominator.
Step 2: Add that to the numerator.
Step 3: Then write the result on top of the denominator.
how many gallons are in 500 pints
Answer:
62.5 gallons
Step-by-step explanation:
Divide by 8
Laura answered 27 questions correct on a test on her test and scored 90%. How many questions where on the test?
The number of questions in the test is 30
Step-by-step explanation:
Let's call the total number of questions in the test N.
We know that Laura answered 27 questions, and these 27 questions represent the 90% of the test.
Therefore, we can say that 27 is the 90% of N.
Re-writing the percentage as a fraction,
[tex]90\% = 0.90[/tex]
This means that:
[tex]0.90 N = 27[/tex]
And now we can solve for N to find the number of questions in the test:
[tex]N=\frac{27}{0.90}=30[/tex]
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What is the next number in the
pattern -3, 6, -9, 12,
Answer:
-15
Step-by-step explanation:
The pattern is adding 3 and adding a negative sign
how many diagonals does the regular polygon have
Answer:3
Step-by-step explanation:
I need help please and thank you
We have two lines intersected by a transversal. There is a relationship between <6 and <2. They are corresponding angles and are congruent. So if the m<6 = 75° then the m<2 = 75°.
answer: m<2 = 75°
A square platter has sides that are 8 inches long. What is the platter's area?
Based on the shape of the platter and the length of each side, the area of the platter must be 64 inches².
The platter is said to be a square so the area will be that of a square.
Area of a square is:
= Length x Width
A square has the same length and width so the area is:
= 8 x 8
= 64 inches²
In conclusion, the area is 64 inches ².
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I need to know the answer
1. Ms. Morton likes to make weird tasting cookies. She decides to make cookies for friends and her
students. Each friend will get 3 more cookies than each student. She has a total of 112 students
and 12 friends and made of total of 408 cookies for everyone. The system of equations
represents this scenario:
s y=x+3
(112x +12y = 408
Ms. Morton predicts that she will give each friend 4 cookies and each student 7 cookies. Is she correct?
if not, how many cookies will each friend get and each student get?
Morton will give 3 cookies to each student and 6 cookies to each friend
Solution:
Let "x" be the cookies given to each student
Let "y" be the cookies given to each friend
Each friend will get 3 more cookies than each student
Therefore,
cookies given to each friend = 3 + cookies given to each student
y = x + 3 -------- eqn 1
She has a total of 112 students and 12 friends and made of total of 408 cookies for everyone
Therefore, we frame a equation as:
112x + 12y = 408 ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
112x + 12(x + 3) = 408
112x + 12x + 36 = 408
124x = 372
x = 3
Substitute x = 3 in eqn 1
y = 3 + 3
y = 6
Thus Morton will give 3 cookies to each student and 6 cookies to each friend
Ms. Morton predicts that she will give each friend 4 cookies and each student 7 cookies. So this is incorrect
To approach a runway, a plane must begin a 7° descent starting from a helght of 2 miles above the ground. To the nearest mile, how many mile
approach?
28 mi
41 mi
16 mi
7 mi
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
Incomplete Question the complete Qs is
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?
a: y=1/2x+2
b: y=-2x+1/2
c: x-2y=-4
d: y-1=1/2(x+2)
Answer:
The Correct option is c. x-2y=-4
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
[tex]x-2y=-4[/tex]
Step-by-step explanation:
Given:
[tex]Slope = m =\dfrac{1}{2}[/tex]
point A(x₁, y₁)=(-2,1)
To Find:
Equation of Line =?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
[tex](y-y_{1})=m(x-x_{1})[/tex]
Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get
[tex](y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4[/tex] As required
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
[tex]x-2y=-4[/tex]
Amanda is choosing between two exercise routines.
In Routine #1, she does only running, 15.5 burning calories per minute.
In Routine #2, she burns 22 calories walking. She then runs at a rate that burns 12.75 calories per minute.
For what amounts of time spent running will Routine #1 burn more calories than Routine #2?
Use t for the number of minutes spent running, and solve your inequality for .
Answer:
1 hour and 30 maybe my math might be wrong
Step-by-step explanation:
How do you solve this step by step?
Answer:
x = 41
Step-by-step explanation:
To solve this problem, we want to find the value of 'x' by isolating it (separating 'x' from all other numbers).
First, simplify the expression by using the distributive property, where you multiply the number outside the brackets with each term inside the brackets.
Then isolate 'x' by doing reverse operations (on both sides) for every number that is on the same side as 'x'. Reverse operations are opposites (addition and subtraction, multiplication and division) and "cancel out" a number, which "moves" it to the other side.
7(x - 5) = 252 Use the distributive property
7x - 35 = 252 Result of 7 times x and 7 times -5
7x - 35 + 35 = 252 + 35 Add 35 to both sides
7x = 252 + 35 -35+35 on the left side cancelled out. Simplify right side
7x = 287 Continue to isolate 'x'
7x/7 = 287/7 Divide both sides by 7
x = 287/7 Left side cancelled out to be 'x'. Simplify the right side
x = 41 Answer
Check your answer:
Substitute 'x' for 41 in the original equation. Then, make sure that the equation is still balanced. Keep in mind BEDMAS order (brackets, exponents, division, multiplication, addition, subtraction).
7(x - 5) = 252
7(41 - 5) = 252 Simplify inside the brackets first
7(36) = 252 Multiply
252 = 252 Same answer
LS = RS
Since left side (LS) equals (=) right side (RS), the equation is still balanced and we got the correct value for 'x'.
What should i do now please help me
Answer:
x=24
Step-by-step explanation:
Here, you need to make proportion and find x.
12:16=18:x
We multiply 12 by x and 16 by 18:
12x=288
Divide by 12 both sides :
x=24
How do you use substitution with the system of equations x+2y=14 and y=3x-14
Answer:
see attached picture.
if you add five to twice a number the results is fifteen. What is the number?
The number is 5.
Step-by-step explanation:
Let,
x represent the unknown number.
According to given statement;
add five to twice a number the results is fifteen
2x + 5 = 15
Subtracting 5 from both sides
[tex]2x+5-5=15-5\\2x=10[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{10}{2}\\x=5[/tex]
The number is 5.
Keywords: variable, addition
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What is the simplest form of this expression?
-X(4x² - 6x+1)
0
0
A. 4x² - 6x² - x
B. 4x3 + 6x2 - x
OC. 4x² - 6x+1
0
D. -4x3 + 5x
Answer:
Step-by-step explanation:
-x (4x^2 - 6x + 1).....distribute the -x through the parenthesis
- 4x^3 + 6x^2 - x <===
Answer:
b
Step-by-step explanation:
The sales tax in your city is 4.4% and a item costs 3$ before tax. How much tax would you pay
Answer:
0.13 tax
Step-by-step explanation:
0.044*3=0.132
The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?
A
25 and 25
B.
45 and 5
C.
15 and 35
D.
E
40 and 10
20 and 30
Reset
Next
Answer:
C. 15 and 35
Step-by-step explanation:
3 x 15=45-10= 35
15+35=50
So C. is correct
Answer:
C
Step-by-step explanation:
Let the two no.s be x and y
x+y=50 -------(I)
Condition 2:
x=3y-10 -------(2)
Putting eq 2 into 1
3y-10+y=50
4y-10=50
4y=50+10
4y=60
Dividing both sides by 4
y=15
Putting the value of y in 2
x=3(15)-10
x=45-10
x=35
Which of the following is not a step in the 4 step plan
Is number2 Extend I think
Please answerrrrrrrrrrrrrr
Answer:
1. Using the Pythagorean theorem.
2. Using the ratio 1 : 1 : √2.
Step-by-step explanation:
There are two options to find the value of x:
1. Using the Pythagorean theorem:
Hypotenuse = 5√2 inches and legs are equal in a 90 - 45 - 45 triangle like this.
Hypotenuse² = Leg² + Leg²
(5√2)² = 2Leg²
50 = 2Leg²
50/2 = Leg²
Leg² = 25
√Leg² = √25
Leg = 5 inches ⇒ x = 5
2. Using the ratio 1 : 1 : √2, this way:
1 : 1 : √2
x : x : 5√2
x = 5√2/√2
x = 5 and let's recall that in a 90 - 45 - 45 triangle legs are equal, therefore. ratio is:
5 : 5 : 5√2
which number like represents the solution to |x-5|=1?
x-5=1
+5 +5
x=6
x-5=-1
+5 +5
x=4
Answer: x= 6, 4
x2-3xy-5xy-7y2+4x2+8y2
For this case we must simplify the following expression:
[tex]x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2[/tex]
We must add similar terms taking into account that:
Equal signs are added and the same sign is placed.Different signs are subtracted and the major sign is placed.[tex](x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2[/tex]
Thus, the simplified expression is:
[tex]5x ^ 2-8xy + y ^ 2[/tex]
Answer:
[tex]5x ^ 2-8xy + y ^ 2[/tex]
4(-5)+7(3)+3(-5)-2(3)+2(-5)
A. 17
B. -5
C.-20
D.-30
Answer:
D) -30
Step-by-step explanation:
4(-5)+7(3)+3(-5)-2(3)+2(-5)
-20 + 21 - 15 - 6 - 10
1 - 21 - 10
-20 - 10
= -30
Hope this helps
-Amelia
Express 40 as a percentage of 200
Answer:
20 %.
Step-by-step explanation:
(40/200) * 100
= (2/ 10) * 100
= 2 * 10
= 20.
Final answer:
To express 40 as a percentage of 200, you set up a proportion and solve for x, finding that 40 is 20% of 200.
Explanation:
To express 40 as a percentage of 200, we can set up a proportion where 40 is to 200 as x is to 100 (since percentages are out of 100). This gives us the proportion 40/200 = x/100. Solving for x, we multiply both sides by 100 to isolate x on one side of the equation. This gives us x = (40 × 100) / 200.
Next, we perform the multiplication and division: x = 4000 / 200. Simplifying that, we get x = 20. Therefore, 40 is 20% of 200.
explain how to find the area of the triangle when x = 3 inches. then find the area
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.
Step-by-step explanation: To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.