Answer:
y = 4x - 3
General Formulas and Concepts:
Algebra
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 4
y-intercept b = -3
Step 2: Write linear function
y = 4x - 3
a = 7 and 10 – a = 3
Plz help me I am timed!!
10/9 = 5/3x. X= ?
What is 79% of 55????
Answer:
43.45%
Step-by-step explanation:
a new recipe calls for 1/3 cups sugar and you have 2 1/3 cups in the pantry if you have unlimited supplies of the other ingredients how many recipes could you make? PLS HELP
Answer:
7 recipes could be made with [tex]2\frac{1}{3}[/tex] cups of sugar.
Step-by-step explanation:
Quantity of sugar required for a recipe [tex]=\frac{1}{3}[/tex] cups
Quantity of sugar required in a pantry [tex]=2\frac{1}{3}[/tex] cups
Here,
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
So,
Quantity of sugar required in a pantry [tex]=\frac{7}{3}[/tex] cups
Number of recipes that could be made [tex]=\frac{\frac{7}{3} }{\frac{1}{3} } =7[/tex]
Therefore, 7 recipes could be made with [tex]2\frac{1}{3}[/tex] cups of sugar.
Find the X- and y-intercept of the line -7/5x - 4y=7
Answer:
-7 and 7
Step-by-step explanation:
Just answer it plzzzzz
Answer:
i would say answer A
Step-by-step explanation:
The lengths of the sides of a triangular sign are x inches, (4x - 5) inches, and (7x+8) inches. What is the perimeter of the sign?
The perimeter of the sign is in.
(Simplify your answer Do not factor)
Answer:
The perimeter of triangular sign is 12x+3
Step-by-step explanation:
Length of side1 of triangle = x inches
Length of side2 of triangle = 4x-5 inches
Length of side3 of triangle = 7x+8 inches
We need to find perimeter of triangular sign.
The formula used is: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ three \ sides[/tex]
Now, finding perimeter of triangular sign:
[tex]Perimeter \ of \ triangle = Sum \ of \ all \ three \ sides\\Perimeter \ of \ triangle = x+4x-5+7x+8\\Perimeter \ of \ triangle = x+4x+7x-5+8\\Perimeter \ of \ triangle = 12x+3[/tex]
The perimeter of triangular sign is 12x+3
A $1200 investment is made. How much should be invested at 15% and how much at 8% so that the total return on the entire investment is 9.5%?
Answer:
The amount invested at 15% = $257.14
The amount invested at 8% = $942.86
Step-by-step explanation:
Let the amount invested at:
15% = a
8% = b
Total invesment = $1200
Hence:
a + b= $1200....... Equation 1
a = 1200 - b
15% × a + 8% × b = 9.5% × 1200
0.15a + 0.08b = 0.095 × 1200
0.15a + 0.08b = 114..... Equation 2
We substitute 1200 - b for a in Equation 2
0.15(1200 - b) + 0.08b = 114
180 - 0.15b + 0.08b = 114
- 0.15b + 0.08b = 114 - 180
- 0.07b = - 66
b = -66/-0.07
b = $942.85714286
Approximately = $942.86
Note that:a = 1200 - b
a = $1200 - $942.86
a = $257.14
Juice is sold in small bottles and large bottles.
The volume of the large bottle is 1125 ml.
1125 ml
volume of small bottle : volume of large bottle = 2:5
A cafe has small glasses and large glasses.
volume of small glass : volume of large glass - 4:7
A small bottle fills 6 smal glasses with no juice left over.
How many large glasses can be filled by a large bottle?
You must show your working out
Answer:
8 large glasses can be filled by a large bottle.
Step-by-step explanation:
First we calculate the volume of a small bottle:
[tex]\frac{SmallBottle}{1125}=\frac{2}{5}[/tex]Volume of small bottle = 450 mLNow we calculate the volume of a small glass:
" A small bottle fills 6 small glasses with no juice left over.", this means that
Volume of small glass = volume of small bottle / 6Volume of small glass = 450 / 6 = 75 mLThen we calculate the volume of a large glass:
[tex]\frac{75}{LargeGlass}=\frac{4}{7}[/tex]Volume of large glass = 131.25mLFinally we divide the volume of a large bottle by the volume of a large glass:
[tex]\frac{1125}{131.25}= 8.5[/tex]So 8 large glasses can be filled by a large bottle with juice left over.
describe the inequality 5x>4x+7 in words
Answer:
five times a number is greater than the sum of four times that number and seven
Lara went to the nursery and spent $140 she purchased 4 plants each of the plant costs the same price what is the cost of 1 plants ?
Answer:
$35 per plant
Step-by-step explanation:
You take the 140 and divide that by 4 to get your answer.
$9.65 per hour 40 hours and time and a half for 5 hours
Answer:
im not 100% sure what your asking but i think its you make 9.65 per hour for 40 hours then 5 more hours how much are you making?
Step-by-step explanation:
its 434.25 here is why 9.65x40=386
+5hours 9.65x5=48.25
386+48.25=434.25
4/7 divided by 4 ( simplest form)
Answer:
1/7 Brainliest plz
Step-by-step explanation:
Please help (look at the picture)
A tin contains 18.5 litre of oil. How much such tin contain 129.5 litre of oil?
PLEASE HELP 40 POINTS!!!, I DO NOT KNOW HOW TO DO THIS AT ALL
Answer:
ill Put the answer in the comments if you give a pic of the image for this problem
Step-by-step explanation:
An artifact is four times 4 times older than an antiuqe book. In 200 years the artifact will be 3 times older than the book. How old is the artifact now?
Answer:
The present age of the artifact is 1,600 years
Step-by-step explanation:
let the present age of the artifact = x
let the present age of the book, = y
x = 4y ---- equation (1)
x + 200 = 3(y + 200) ------equation (2)
x + 200 = 3y + 600
substitute in the value of x into the equation;
4y + 200 = 3y + 600
4y - 3y = 600 - 200
y = 400
Then, x = 4 x 400
x = 1,600 years
Therefore, the present age of the artifact is 1,600 years
Answer:
The present age of the artifact is 1,600 years
Step-by-step explanation:
let the present age of the artifact = x
let the present age of the book, = y
x = 4y ---- equation (1)
x + 200 = 3(y + 200) ------equation (2)
x + 200 = 3y + 600
substitute in the value of x into the equation;
4y + 200 = 3y + 600
4y - 3y = 600 - 200
y = 400
Then, x = 4 x 400
x = 1,600 years
What is the factorization of the trinomial below?
2x2 + 11x+15
A. (2x + 1)(x +15)
B. (2x+15)(x + 1)
C. (2x+3)(x+5)
D. (2x+5)(x+3)
SUBMIT
Answer:
D
Step-by-step explanation:
Just took the test
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with
annual raises of $2,000. How many years will it take for Lenny and Karl to make the
same salary?
Step-by-step explanation:
let no of years be x.
55000 + 2500x = 62000 + 2000x
500x = 7000
x = 14
therefore, 14 years.
Topic: algebraic eqns
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
How many sixths make a third?
help me out
I need help please!:D
Answer:
1 & 2
Step-by-step explanation:
Which expression is equivalent to cos(40°)cos(10") + sin(40°)sin(10º)?
O sin(40° – 10°)
O cos(40° + 10º)
O sin(40° + 10º)
O cos(40° – 10º)
Answer:
The equivalent expression is cos(40° – 10º) ⇒ D
Step-by-step explanation:
The rule of cosine the compound angles is
cos (A + B) = cos A cos B - sin A sin B
cos (A - B) = cos A cos B + sin A sin B
Let us use these rules to solve the question
∵ cos(40°)cos(10°) + sin(40°)sin(10º)
∵ The middle sign is plus
∴ We will use the 2nd rule above
→ Compare the rule by the given expression to find the value of A and B
∵ A = 40° and B = 10°
∴ cos (A - B) = cos (40° - 10°)
∴ cos (40° - 10°) = cos(40°)cos(10°) + sin(40°)sin(10º)
∴ The equivalent expression is cos(40° – 10º)
Diana y Juan están considerando abrir una cafetería. Semanalmente ellos gastarian
$1.348 en costos fijos de utilidades y mantenimiento. Cada almuerzo tiene un costo
de producción de $3.50. por lo que piensan vender cada almuerzo en $8.
a. ¿Cuántos almuerzos deben elaborar semanalmente si desean obtener una
ganancia de $775 para cada uno?
Answer:
Unidades a vender= 644 unidades
Step-by-step explanation:
Dada la siguiente información:
Costos fijos= $1.348
Costo unitario= $3,5
Precio de venta= $8
Ganancia deseada= 775*2= $1.550
Para calcular el número de unidades a vender, debemos usar la siguiente formula:
Unidades a vender= (costo fijo + ganancia deseada) / contribución marginal unitara
Unidades a vender= (1348 + 1550) / 4,5
Unidades a vender= 644 unidades
10z^2 -2z-2 10z 2 −2z−2
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
What is 14.724 rounded by the nearest hundredth
Answer:
14.72
Step-by-step explanation:
In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?
Answer:
9
Step-by-step explanation:
DB^2=AD^2+AC^2
15^2=12^2+AC^2
AC^2=225-144
AC^2=81
AC=√81
AC=9
During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. Express the following in ratios:
a. Purchasers to nonpurchasers
b. Nonpurchasers to purchasers
c. Purchasers to total customers
d. Nonpurchasers to total customers
if 8 sugar cost 260 how much sugar can be brought for 877.500
Answer: 27 kg of sugar can be bought for Rs. 877.50.
Step-by-step explanation:
Answer:
you could buy 28518.75 sugar for 877.500
Step-by-step explanation:
260 / 8 = 32.5
this gives you how much it cost per 1 (units)
32.5 * 877.50 = 28518.75
Two groups of people, the Yellow Group and the Orange Group, suddenly find themselves in a world where there are only two 'production opportunities': pumping water and picking berries.
After a little while the Yellow Group has learned that it seems to produce about 2 gallons per hour while pumping water and about 8 berries per hour while picking.
Meanwhile the Orange Group has learned that it seems to produce about 1 gallon per hour while pumping water and about 3 berries per hour while picking.
If we were able to make production decisions that were efficient from the perspective of both groups combined, what would we consider to be the opportunity cost of producing one gallon of water?
3 berries
4 berries
25 cents
33⅓ cents
Answer:
3 berries
Explanation:
Opportunity costs for the Orange group:
Opportunity cost of pumping 1 gallon of water = 3/1 = 3 berries
Opportunity cost of picking 1 berry = 1/3 = 0.333 gallons of water
Opportunity costs for the Yellow group:
Opportunity cost of pumping 1 gallon of water = 8/2 = 4 berries
Opportunity cost of picking 1 berry = 2/8 = 0.25 gallons of water
Opportunity cost for both groups combined:
Opportunity cost of pumping 1 gallon of water = 3 berries (Orange group should pump water since opportunity cost is lower)
Opportunity cost of picking 1 berry = 0.25 gallons of water (Yellow group should pick berries since opportunity cost is lower)
Opportunity costs are the extra costs or benefits lost resulting from choosing one investment or activity over another alternative. In this case, people can either pump water or pick berries, but they cannot do both at the same time. When they are pumping water, the opportunity cost is the amount of berries that they will not be able to collect, and vice versa.
what is the least common deno minator 2/5 and 3/2
Answer: 10
Step-by-step explanation: The common denominator for these two
fractions is simply the least common multiple for the two denominators.
Since our denominators of 5 and 2 have no factors in common,
our least common denominator is 5 · 2 or 10.