Answer:
15
Step-by-step explanation:
Read the word problem below.
Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?
Which strategy could help solve this word problem?
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
Divide 196 by the sum of 4 and 8 and find the quotient.
Divide 196 by 4 and check that the remainder is 8.
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
Answer:
The last option 8x + 4 = 196
Step-by-step explanation:
8x + 4 = 196
8x = 192
x=192/8
x=24
The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
What is the strategy?A strategy is an approach that leads someone to the nearest of the solution of a problem.
How to solve the equation?Soni has 196 pencils.
Let, one box can accommodate x number of pencils.
Therefore 8 boxes can accommodate 8x number of pencils.
But she has 4 more pencils.
Hence, the required equation is 8x+4=196.
Learn more about the equation here :
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Tell me both the numbers for the 2 boxes pls
Calculate the diameter of a
circle if its area is 113.1cm2.
Answer:
12 cm squared
Step-by-step explanation:
1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):
113.1 cm / 3.14 = 36.00084813
2. What you get is the radius which you have to square:
36.00084813 squared = 6.000070677
3. Now you double the radius in order to get the diameter:
6.000070677 x 2 = 12.00014135
12.0 cm squared
((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR?
1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.
Let the small , medium and large baskets be denoted by s,m & l
Formulating the equations
s+m+l= 80--------- equation1
$15.75s+ $25 m + $32.5l = $2086.25------equation2
2s=l---------equation 3
Using the technology s=15, m=35 and l= 30
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
2(15)=(30)---------equation 3
Yes because multiple variables can be easily calculated through matrices using technology
In Matrix form
[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex] = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]
Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Z= A⁻¹ B
A⁻¹= A mod/ det A
det A= -1
Using the technology s=15, m=35 and l= 30
15 small baskets,
35 medium baskets
30 large baskets were sold.
Part C:
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
236.25+ 875+ 975=$2086.25
$2086.25=$2086.25
2(15)=(30)---------equation 3
Answer 2:
Yes because multiple variables can be easily calculated using technology.
N.B There is a typing error in question its $2086.25 not 52086.25
In a certain country, income tax is assessed by people not having to pay a tax if they make $15,000 per year or less, people having to pay a 12% tax if they make over $15,000 but no more than $30,000, and people having to pay 18% tax if they make more than $30,000 per year. Find the piecewise function that represents this scenario.
Answer:
f(x) = x × 0.12 if 15,000 ≤ x ≤ 30,000
x × 0.18 if x ≥ 30,000
Step-by-step explanation:
I. When 12% is 12/100 = 0.12
and 18% is 18/100 = 0.18
what is the opposite of 7 plus the opposite of 9
Answer:
-7.11111111111
Step-by-step explanation:
4x+11=x²-10
PLS HELP.
Answer:
10+4x+11=x²-10+10 (add 10 both side)
21+4x-4x=x^2-4x (substract 4x in both side)
21-21=x^2-4x-21 (substract 21 in both side)
x^2-4x-21=0
x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)
x(x+3)-7(x+3)=0 (get common factor)
(x+3)(x-7)=0 (get common factor which is (x+3) by both)
x=-3 or x=7
Step-by-step explanation:
The product of two whole numbers is 999 and their sum is 64. What are the two numbers?
Answer:
the answer is:
997+2=999 so all you would have to do is multiply 997 and 2
Please answer this for me
Answer:
B
Step-by-step explanation:
It implies that his plane ticket and other expenses should all be less than the $2000 he has saved.
What is the measure of ZX?
Select the best answer from the choices provided.
A.38°
B.76
C.104
D.142°
Answer:
76°
Step-by-step explanation:
Angles adjacent to equal sides of a triangle are equal.
Exterior angle
= Sum of interior opposite angles
= 38° + 38°
= 76°
Help please!!!!!!!!!!
Answer:
52/15 or 3 7/15
Step-by-step explanation:
2 3/5 divide 3/4
13/5 divide 3/4
13 x 4/5 x 3
52/15
3 7/15
Answer:
3 [tex]\frac{7}{15}[/tex]
~~~~~~~~~~~
[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]
[tex]\frac{52}{15}[/tex]
3 [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression?
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
x = 2
y = 2
x = 11
y = 11
Answer:
Its A x=2
Step-by-step
so i told siri pick a number 1-4 and she picke 1 and it was right so good luck
Answer: x = 2
Step-by-step explanation:
got it right
what is equivalent to the expression i^151 ?
Answer:
-i
Step-by-step explanation:
i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)
what is the answer of 8-15=
Answer:
-7
Step-by-step explanation:
What value of x makes the following equation true?
x3=-64
Answer:
Any value you choose for x will make the equation a TRUE statement.
need help fast, please
I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x
Answer:
x = 7 would be the correct answer to your question.
I hope this helped! :D
Need help with this question. Will give brainliest for correct answer.
Answer: the second to last
Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last
I am a three-digit number
My second an last digit are the same
The product of the digit of the numbe one less than me is not zero
The number one less than me is divisible by 45
Please help me solve this riddle. Thank you.
Answer:
766?
Step-by-step explanation:
Answer and Step-by-step explanation:
Three Digit Number.
***
Second digit = Last digit
*xx
I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.
Now to check which number it is.
When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.
So, lets add one to 765 to see if we solved the riddle.
765 + 1 = 766
766 is the answer!
#teamtrees #PAW (Plant And Water)
I hope this helps!
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
Answer:
-2
Step-by-step explanation:
when x=0 y=-2... it is a decline
PLZ HELP QUICKLY!!!!!!!!!!!!
No LINKS PLEASE!!!!!!!!!
Answer:
Uhh i dont rly know sry
Step-by-step explanation:
pretty sure this is algebra
[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]
let's solve :[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]
[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]
[tex] \hookrightarrow \: 0.4 + 1[/tex]
[tex] \hookrightarrow \: 1.4[/tex]
write 32% as a fraction in simplest form
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
what the value of x if 27/5 =4/x
Step-by-step explanation:
[tex] \frac{27}{5} = \frac{4}{x} \\ 27 \times x = 4 \times 5 \\ 27x = 20 \\ \frac{27x}{27} = \frac{20}{27} \\ x = \frac{20}{27} [/tex]
If you flip a coin, what is the probability that it will land on tails?
Answer:
50%
Step-by-step explanation:
Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.
1/2
What is 17 rounded to the nearest tenth of an inch
You can't round 17 to the nearest tenth of an inch because 17 is a whole number.
math! help! pls! pls!
Answer:
3. MNP = OPN
Step-by-step explanation:
the second could be as well, but the sequence is the same for the third option, thus the second option is wrong
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19