The student purchase 12 pencils
Let the total number of pencils purchased be xLet the total number of spirals purchased be yIf a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;
x + y = 16 .................. 1
If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;
1.25x + 3.5y = 29 ................. 2
Solve both equations simultaneously
x + y = 16 .................. 1 * 1.25
1.25x + 3.5y = 29 ................. 2 * 1
__________________________________
1.25x + 1.25y = 20.
1.25x + 3.5y = 29
Subtract both equations
1.25y - 3.5y = 20 - 29
-2.25y = -9
y = 9/2.25
y = 4
Substitute y = 4 into equation 1:
x + y = 16
x = 16 - 4
x = 12
This means that the student purchase 12 pencils
Learn more on simultaneous equations here: https://brainly.com/question/15165519
I need help on this last question
Answer:
They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.
Step-by-step explanation:
Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.
While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.
4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers
Answer:
5km
Step-by-step explanation:
The formula for hypotenuse is
a squared + b squared = c squared,
4 squared is 16, and 3 squared is 9.
16+9 = c squared
25 = c squared
However, you don't want it to be squared, so you have to find the square root of 25, which is 5.
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Fig rolls
normal price £1.08
buy one get 2nd half price
what is the total of three packets
Answer:
The total cost for two packets of Fig rolls is £1.62
Step-by-step explanation:
A?
B?
C?
D?
If your right I’ll mark brainlest !<3
If p is the smallest of four consecutive even integers, what is their sum interms of P?
plz be fast
I need full step by step the explanation
The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults
Elizabeth took out a 3year loan to buy a car at 4.4% simple interest rate. If she initially borrowed $1,400 how much interest will she have to pay
Answer:
is 61.6 on there? because if so I believe it's that
A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?
____meters by ___ meters
Answer:
18 meters by 9 meters (or 9 meters by 18 meters)
Step-by-step explanation:
lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters
Combine the like terms in each expression to find the matching simplified expression.
y + x - 2 - 6x ——> |_| X-1
5xy + 4x - 5xy = 3x —> |_|y - 5x – 2
2x +3 -x-4 ——> |_| X
Answer:y + x -6x (y -5x -2)
5x + 4x -3x (x)
2x + 3 - x -4 (x - 1)
Step-by-step explanation:
A=C
B=B
C=A
"a deposit plus $8 per hour"
Answer:
d + 8/hr
Step-by-step explanation:
Where is the circumcenter of this acute triangle located?
O on a side of the triangle
O inside the triangle
O at a vertex of the triangle
O outside the triangle
Answer: the answer is inside the triangle
If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )
Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.
Math problem (easy)
………………………………………
Answer:
7/24
Step-by-step explanation:
Hope this helps
Answer:
1/6
Step-by-step explanation:
Decimal Form 0.16
What are the steps to complete a dialation (in geometry) ?
Answer:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.
Step-by-step explanation:
Make me brainlest.
A linear inequality is in the form Ax + By + C = 0
True
False
Answer:
False
That is an equation as shown by the = sign.
An inequality has an inequality sign like '<' .
Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)
Answer:
2×2=4
9x+2=11x
1-6x=4x
x²-4=16
=16¹⁵x
Express the following equation in slope intercept form: 8x-2y=10
please
Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
I NEED HELP QUICK ‼️‼️‼️ PLEASE
Answer: no
Step-by-step explanation:
the angle is too steep
Solve the inequality:
12+x≥3(x-6)
Hello there! :)
The first step is to use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's distribute 3, using this property:
3(x-6)=3x-18
Now, our inequality looks like so:
12+x≤3x-18
The next step is to move the variables to the left, using the opposite operation:
12+x-3x≤-18
12-2x≤-18
Now, move all the numbers to the right, using the opposite operation:
-2x≤-18-12
-2x≤-30
Divide both sides by -2 to isolate x.
Remember that when we divide by a negative variable, we change the inequality sign:
x≥15
Therefore, x≥15
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
HELPPPPP I ONLY HAVE AN HOUR & ITS 7:23
Answer:
x=17
Step-by-step explanation:
angle O is equal to angle M.
This means (5x-10)=75
add 10 degrees to both sides
5x=85
divide both sides by 5
x=17
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
In a company,55% of the workers are men. If 2,250 people work for the company who aren't men, how many. Workers are there in all?
Step-by-step explanation:
female workers:2250
% female workers:?
First, find the percentage of workers who aren't men since we are told the number of workers who aren't men
100-55=45
Therefore 45% of workers aren't men
Let the total number of workers =x
Now form an equation for the problem
[tex]x \times \frac{45}{100} = 2250[/tex]
[tex]x = 2250 \div \frac{45}{100} [/tex]
[tex]x = 5000[/tex]
Therefore, there are 5000 workers in total
How do I solve this
Step-by-step explanation:
exterior angle is the sum of two opposite interior angle
11x+9=3x+12+85
11x-3x=88
8x=88
x=11.
hope this helps you.
Answer:
x=11
Step-by-step explanation:
85 + 3x + 12= 11x+9
97 +3x= 11x+9
-97 -97
3x= 11x - 88
-11x -11x
-8x = -88
/-8 /-8
x=11
I need some help I can’t figure out the answer
Answer:
y = 65 degrees
Step-by-step explanation:
You can use a vertical angle to figure this out. Since 65 is a vertical angle to y, it equals the same amount. I have attached an image of an example of vertical angles. They are on the opposite side of the line.
Find the distance between each pair of points. Round to the nearest hundredth. (-4,5) and (4,0)
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
Learn more about maths in https://brainly.com/question/25849676
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
D
Step-by-step explanation:
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
https://brainly.com/question/11637992
What is the greatest common factor of 8, 28, and 48?
[tex] \: \: \: \: \: \: \: [/tex]
the GCF of 28,48 are GCF OF 281 , 2, 4, 7, 14, 28GCF OF 48
1 , 2, 3, 4, 6, 8, 12, 16, 24, 48 hope it helpsThe greatest common factor of 8, 28, and 48 is 4.
Greatest Common FactorThe largest common factor out of all the numbers in the given set is known as Greatest Common Factor.
How to evaluate Greatest Common Factor?Factors of 8, [tex]8=2\times 2\times 2[/tex]
Factors of 28, [tex]28=2\times 2\times 7[/tex]
Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]
The common factors in the above set of numbers are 2and 2.
So, the Greatest Common Factor of 8, 28, and 48 is [tex]2\times 2=4[/tex].
Learn more about Greatest Common Factor here: https://brainly.com/question/11444998
#SPJ2
The LCM of 6, 17 and 34 is
Answer: 102
Step-by-step explanation:
