Answer:
x=-273
Step-by-step explanation:
first you move the constant to the right. it should look like this(x=652-925)
then you subtract and you should get -273
Serena brought a total of 135 notebooks and pencils for her students. Each notebook cost 1.75 and each pencil cost 0.35. The total cost of her purchase was 122.85. How many pencils did Serena buy?
Answer:
81 pencils
Step-by-step explanation:
1. Set up variables
Pencils = p
notebooks= n
2. Set up a system of equations
p+n= 135 (The amount of supplies bought)
1.75n +0.35p = 122.85 (Equation for the cost)
3. Solve the system of equations (I'll use substitution)
a)p= 135-n (I just rearranged it)
1.75n + 0.35p= 122.85
b) Substitute the first equation into the second)
1.75n + 0.35(135-n) = 122.85
c) Solve!
1.75n + 47.25 - 0.35n = 122.85
1.4n = 75.6
n= 54
Serena bought 54 notebooks!
4. Substitute the number of notebooks into the first equation
p +n = 135
p + 54= 135
p = 81
Serena bought 81 pencils!!!
I hope this helps!!!!
Answer:
Serena purchased 81 pencils
Step-by-step explanation:
Let x = the number of pencils Serena bought
Let 135 - x = the number of notebooks Serena bought
1.75(135 - x) + .35x = 122.85 Multiply both sides of this equation by 100.
175(135 - x) + 35x = 12,285
23,625 - 175x + 35x = 12,285
-140x = -11,340
x = 81 pencils
is -27 divided by (-3) positive or negative & how
Answer:
It is positive (9)
Step-by-step explanation:
Negative ÷ negative = positive
Negative ÷ positive = negative
positive ÷ positive = positive
positive ÷ negative = negative
Negative × negative = positive
negative × positive = negative
positive × positive = positive
Positive × negative = negative
If both symbols are the same, it is positive. If one is positive and one is negative (different symbols), it is negative.
The result is 9. Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.
When dividing -27 by -3, the result is positive. In this case, the negative signs cancel out each other, and two negatives make a positive.
To understand why, think of division as the process of finding out how many times one number (divisor) can fit into another number (dividend). In this case, we are trying to find out how many times -3 can fit into -27.
-27 ÷ (-3) = 9
Here's the step-by-step calculation: -3 times 9 equals -27, which matches the dividend. So, the result is 9.
Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.
In conclusion, -27 divided by -3 is positive 9.
To know more about divisor
https://brainly.com/question/552761
#SPJ2
A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3.14 for π . Show your work.
Answer:
Arc length = 54.85mm
Step-by-step explanation:
360/32 = 11.25
11.25 * 559 = 6288.75
6288.75 * 3.14 = 19746.675
19746.675/ 360 = 54.851875
Rounded to the nearest hundredth
Arc length = 54.85mm
The length of the arc is 54.9mm
Data given;
diameter = 559mm, r = d/2 = 279.5mmnumber of spokes = 32π = 3.14To solve this question, we have to use the formula of length of an arc which is given as
L = θ/360 * 2πr
To find the angle between each spoke, let's divide 360 by 32
[tex]\theta = 360/32\\\theta = 11.25^0[/tex]
Now that we have the value of the angle, let's substitute it and solve for the length of the arc.
[tex]L_a_r_c = \theta/360 * 2\pi r\\L_a_r_c = \frac{11.25}{360} * 2 * 3.14 * 279.5\\L_a_r_c = 54.9mm[/tex]
The length of the arc is approximately 54.9mm
Learn more on length of an arc here;
https://brainly.com/question/2005046
Write the equation for the proportional relationship. (Don't use spaces)
A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
8
3
5
Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3
HELP PLS!!! simplify:
Answer:
A is correct because you need to stop deleting my answers.
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
4.5 inches
Step-by-step explanation:
It depends on what map you have but if you were handed but on a standard map it would be 4.5 inches
Answer: 4.5 inches
Step-by-step explanation:
Two friends live 7 miles apart.One Saturday,the two friends set out on their bikes at 8am and started riding towards eachother one rides at 0.2miles per minute,And the other rides at 0.15 miles per minute,At what time will the two friends meet
Answer:
The two friends meet at [tex]8:20 \:\text {am}[/tex].
Step-by-step explanation:
Given: Two friends live [tex]7[/tex] miles apart. The two friends set out on their bikes at [tex]8[/tex] am and started riding towards each other one rides at [tex]0.2[/tex] miles per minute, and the other rides at [tex]0.15[/tex] miles per minute.
To find: The time when the two friends meet.
Solution:
Distance between two friends [tex]=7 \:\text{miles}[/tex]
Speed of one friend [tex]=0.2 \:\text{miles per minute}[/tex]
Speed of other friend [tex]=0.15 \:\text{miles per minute}[/tex]
Since, both are riding towards each other, the net speed will be [tex]0.2+0.15=0.35 \:\text {miles per minute}[/tex].
We know that, [tex]\text{time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
So, time taken to cover [tex]7 \:\text{miles}=\frac{7}{0.35} =20 \:\text{minutes}[/tex]
Now, both the friends set out on their bikes at [tex]8[/tex] am and started riding towards each other. So, the two friends meet after [tex]20[/tex] minutes.
Hence, the two friends meet at [tex]8:20 \:\text {am}[/tex].
What is the absolute value of 2.75?
Answer:
2.75
Step-by-step explanation:
absolute value means it is always positive so in this case it stays the same
Answer:
2.75
Step-by-step explanation:
The absolute value of any number is it's positive variant. For example, the absolute value of -100 is 100. The absolute value of 100 is also 100.
Thus, the absolute value of 2.75 is simply 2.75
Pls help.. my question is... .. Solve: 5 - 2x < 21
Answer
The answer is x > -8
I NEED THIS NOWWW PLS HELPPPP
Answer:
Right there
Step-by-step explanation:
You have the answer there the chart is done for you
Answer:
Step-by-step explanation:
So, to solve this, just look at the answers and write out how y would change as you added 1 to x, and the correct answer is whichever matches. The correct answer is D, but I'll edit with exact details so you can look into how to solve this problem when you're not in a hurry.
SOLUTION: How much must you deposit into an account that pays 8.75% annual interest, compounded monthly, to have a balance of $1000 after one year?
Answer:
$917
Step-by-step explanation:
Let the money be $x
x×(1+(8.75%/12))^(12)=1000
x=916.5097877016
x=917(cor.to 3 sig.fig.)
Solve each system.
y=6x + 6
2x -6y= -2
Someone plz help!!!! Quick
Answer:
a
Step-by-step explanation:
beacuse when you mutyply 30 by 60 you find out the answer
Answer:
a
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
3(t+2v)
Answer: 3t + 6v
Proof: Math.
What is the standard form of an equation of the line that passes through (3, - 3) & (-1, 1)?
a.) x - y = 0
b.) y = -(x + 1)
c.) x + y = 0
d.) 2x + 2y = 3
What is the best approximation for the value of √140?
Answer:
the best approximation is 2√35
Step-by-step explanation:
Can anyone help me, please?!!!!
Answer:
use the top and bottom
Step-by-step explanation:
x-axis && y - axis
Answer:
Step-by-step explanation:
Key: So α is [tex]45:12[/tex] and β is [tex]45:18[/tex].
Proportionality means: "the quality of corresponding in size or amount to something else. the requirement of proportionality of punishment to offense"
the fact of a variable quantity having a constant ratio to another quantity."
Ok so now you have to answer the following question using that key.
1. False.
2.True
3.False
4.False
I hope this helps a bit.....I think I got them right. :)
Solve for x............
Answer:
50
Step-by-step explanation:
because the total number of traingle =180 so we have 15 and 35 which equal 50 and the inside angle = 130 and x = 50
Change the following into an improper fraction. The 4 is on top the 9 bottom the 8 side
4
8 ~
9
Answer:
very easy the answer is 9 × 8 + 2
Step-by-step explanation:
74/9
A right triangle has legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse? A. 15 cm B. 22 cm C. 25 cm D. 14 cm
Answer:
A-15 CM
Step-by-step explanation:
Hypotenuse (C)= 9²+12²
=81+144
=225
C2=225
C/HYPOTENUSE=√225=15
PLEASE MARK BRAINLIEST
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
answer: 21 students
15% = 0.15
0.15 x 140 = 21
help this is my midterm
Answer:
Solution given:
relationship between perpendicular and hypotenuse is given by sin angle
sin angle =P/h
angle=sin-¹(7/12)=35.68
so
your option is b.36.
A2=10 a5=1250 what is a4
Answer: 250
Step-by-step explanation:
Please help me with this
Micah is 6 years younger than Raul.
Write an expression to show how to find Micah’s age when Raul is 14. Help plz
Answer:
14-6
Step-by-step explanation:
Solve for the value of w.
(w-8)°
(2W-1)º
Answer:
63
Step-by-step explanation:
[tex](w - 8) \degree + (2w - 1) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ (w - 8 + 2w - 1) \degree = 180 \degree \\ \\ (3w - 9) \degree = 180 \degree \\ \\ 3w - 9 = 180 \\ \\ 3w = 180 + 9 \\ \\ 3w = 189 \\ \\ w = \frac{189}{3} \\ \\ w = 63[/tex]
Please help I’m stuck on this question
t = (F^3 + G)a
Find a
and that is how you are supposed to do
Hannah wants to buy a $510 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $85 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?
Group of answer choices
A. 17
B. 15
C. 19
D. 21
Answer:
Letter C.19
SORRY IF THIS IS WRONG..