Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95
What is the area of this figure
Help please!!!!
Answer:
the area is 279 mm squared
Step-by-step explanation:
work out the area of a circle with a diameter of 1.8
Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)
Answer:
This is the expression:
4*x+4*9
A new school has x day students and y boarding students.
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720 000 a term.
Show that this information can be written as x + 2y ≥ 1200.
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as [tex]x + 2y\geq 1200[/tex].
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are [tex]\$600[/tex] a term.
So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.
The fees for a boarding student are [tex]\$1200[/tex] a term.
The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.
Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:
[tex]\text{Total fees}=600x+1200y[/tex]
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
[tex]600x+1200y\geq 720000[/tex]
[tex]600(x+2y)\geq 720000[/tex]
Divide both sides by 600.
[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]
[tex]x+2y\geq 1200[/tex]
Hence proved.
Which is the equation of a line parallel to the line with the equation: y = 14x + 2
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
Grace earned £32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 decimal places.
Answer:
18.29
Step-by-step explanation:
32000 ÷ 35 ÷ 50 = 18.2857143
find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....
Answer: 19/3
Step-by-step explanation:
[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]
hamood spelled backwards is hamood also let me know if u want my account by 12 AM PDT 6/2/21
Answer:
yo congratulations on finishing 10th grade (congratulate me on finishing 8th)
hamood spelled backwards is doomah so...um...
also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July
tengo estos problemas de algebra alguien que me atude porfavor !?
Answer:
I think 3 but I am not pretty sure man .
Bonjour,
x est un nombre d'ordinateurs: il est donc un naturel (x € N)
y is the pay cost : y=3*x ==> y€ 3N ⊂ N
Answer last reply : 4.
Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.
Answer:
5.8
Step-by-step explanation:
Y e s .
Using the Distance formula and all.
Help! This is so hard!
1.4
2.8
3.7 by 10
*Others do by your self*
Step-by-step explanation:
1. 3×4/3= 4
2.⅖×20=8
3.6/5×7/18=7/15
4.10/7×9/5=18/7= 2 4/7. Mixed Fraction
5.4/15×25/8=5/6
6.6×¾= 9/2= 4 1/2. Mixed Fraction
Given the function f(x) = -5|x + 1 + 3, for what values of x is f(x) = -12?
O x = -2x = 4
O x = -2, x = 4
O x = 2, X= 4
O x= 2 X= 4
or, - 12= - 5x-5-15
or, - 12= - 5x-20
or, - 12+20= - 5x
or, 8= - 5x
or, x= 8÷-5
Also,
F(x)= - 5(x+1+3)
or, f(8÷-5)= - 5(8÷-5+1+3)
= - 5(8-5-15÷-5)
= - 5×-12÷-5
= - 12 #
(13+29-2)÷2
show your work
Answer:
[tex](13 + 29 - 2) \div 2 \\ (42 -2 ) \div 2 \\ 40 \div 2 \\ = 20[/tex]
Answer:
(13+29-2)÷240÷220hope it helps.
stay safe healthy and happy..PLEASE HELP!!! Which choice is a solution to the system of equations below?
A. There are infinitely many solutions
B. (-4, 1)
C. (4, -1)
D. (3, 4)
Answer:
A.
Step-by-step explanation:
4y = 12x + 16
3x = y - 4
=>
y = 3x + 4
using that in the first equation
4(3x+4) = 12x + 16
12x + 16 = 12x + 16
=> both lines/equations are identical, so they have infinitely many solutions.
Help pls it’s the last day of summer school
the median of 2,8,6,10,4,12
Answer: 6
Step-by-step explanation: 6 is a median
Hey there!
To find your mean you have to put the numbers from descending (least/decreasing) to ascending (greater/increasing) order
Median is also understood as the “middle number”
2, 8, 6, 10, 4, 12
= 2, 4, 6, 8, 10, 12
Based on that information, you have in your new data set you have 2 pairs in the middle (6 & 8), so you’ll have to total/average of the number. We have to DIVIDE them by 2 because it’s 2 numbers
6 ends the descending set and 8 starts the ascending set
Median = 6 + 8 / 2
6 + 8 = 14
= 14/2
= 7
Answer: therefore your MEDIAN is most likely 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find f(2) if f(x) = (x + 1)^2.
9
6
5
Answer:
9
Step-by-step explanation:
f(2)=(2+1)^2
(3)^2
(9)
Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.
Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4
Answer:
16x16x16x1.6
Step-by-step explanation:
here's your answer hope it helps you
Someone help me please !!!!!
Answer:
a=15 and x=7
Step-by-step explanation:
first we need to plug in the number to the variable than we try to get a and x by themselves.
Find the measure of the indicated angle measurements
Answer:
70°
Step-by-step explanation:
(180-40)/2
= 140/2
= 70
Answered by GAUTHMATH
Write the equation of 2 lines passing through the point (2, 14).
Answer:
Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.
∣1/12 − 5/6∣ − (2/5 + 1/10)
I WILL GIVE BRAINLYST
Answer:
forst mark me as a brainleast
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
I only have the answer for B
Step-by-step explanation:
This is the answer: 1st blank: 7y
2nd blank: 9
3rd blank: 42xy
Help im stuck on this problem
Answer:
J.
[tex]{ \bf{m \angle A}} = { \bf{180 \degree -48 \degree }} \\ { \tt{m \angle A = 132 \degree}}[/tex]
x + y = 3, 4y = -4x - 4
System of Equations
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
Which is a simplified form of the expression 3a + 7 – a – 7?
A. 2a
B. 4a
C. 2a + 14
D. 4a - 14
Answer:
A. 2a
Step-by-step explanation:
imagine an imaginary 1 in front of the a
3a + 7 – 1a – 7
subtract numbers without variables
3a + 7 – a – 7
3a-1a
subtract 1a from 3a
2a
Answer:
A. 2a
Step-by-step explanation:
3a + 7 - a + 7
= 3a - a + 7 - 7
= 2a + 0
= 2a
Factorise this equasion
X^2-5
Answer:
(x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )
Step-by-step explanation:
x² - 5 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 5
= x² - ([tex]\sqrt{5}[/tex] )²
= (x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )
someone please help me with this problem
Answer:
It has to be...
Step-by-step explanation:
$55*x because that will be the total
Sandra y José son dos amigos que se encuentran en diferentes partes de la ciudad de Lima (Observa el plano), la distancia que los separa en el plano es de 7 cm ellos quisieran saber ¿Cuál es la distancia real en metros que los separa? Sabiendo que el plano ha sido dibujado a escala 1: 20 000.
Respuesta:
1,4 kilometros
Explicación paso a paso:
Dado que :
Distancia que separa a Sandra y José en el mapa = 7cm
Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.
Por tanto, una distancia de 7 cm en el mapa será:
20.000 * 7 = 140.000 cm en el suelo = distancia real
Por lo tanto, la distancia real = 140.000 cm.
Recordar :
1 cm = 10 ^ -5 km
140000 cm = 1.4 kilometros
Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.
