Simplify.
multiple choice
Gabriella's custom kitchen supplies sells handmade forks and spoons it costs the store 1.20 to buy the supplies to make a fork and 1.20 to buy the supplies to make a spoon the store sells forks for 4.60 and spoons for 4.00 last april her store spent 39.60 on materials for forks and spoons they sold the finishes products for a total of 140.40 how many forks and how many spoons did they make last
Answer:
14 forks and 19 spoons
Step-by-step explanation:
Let us represent:
Number of forks = x
Number of spoons = y
Gabriella's custom kitchen supplies sell handmade forks and spoons it costs the store 1.20 to buy the supplies to make a fork and 1.20 to buy the supplies to make a spoon. Last April her store spent 39.60 on materials for forks and spoons
Hence:
1.20x + 1.20y = 39.60.....Equation 1
The store sells forks for 4.60 and spoons for 4.00. They sold the finished products for a total of 140.40.
4.60x + 4.00y = 140.40......Equation 2
Hence:
1.2x + 1.2y = 39.6.....Equation 1
4.6x + 4y = 140.4....Equation 2
Multiply Equation 1 by 4 and Equation 2 by 1.2
4.8x + 4.8y = 158.4...Equation 3
5.52x + 4.8y = 168.48.....Equation 4
We subtract Equation 3 from 4
0.72x = 10.08
x = 10.08/0.72
x = 14 forks
Solving for y using Equation 1
x = 14
1.2x + 1.2y = 39.6.....Equation 1
1.2 × 14 + 1.2y = 39.6
16.8 + 1.2y = 39.6
1.2y = 39.6 - 16.8
1.2y = 22.8
y = 22.8/1.2
y = 19 spoons
Therefore, they made
14 forks and 19 spoons
What is the measure of <8
What is the measure of <3
What is the angle relationship between <1 and <5
Solve the system by substitution.
Nancy has a rectangular garden with length, I, width, w, and a perimeter of 28 feet The length of the rectangle is 2 less than 3 times the width. Choose the system of equations that can be solved to find land w
Answer:Perimeter =2l +2w
28=2(3x-2) + 2x
Width =4feet
Length =10feet
Step-by-step explanation:
Perimeter of rectangular garden =2(l+b)
Let the width be represented as X
And the length which is 3x-2
Such that the equation to solve for length and width be
Perimeter =2l +2w
28=2(3x-2) + 2x--- system of equation
Solving
28=2(3x-2) +2x
28=6x-4+2x
28=8x-4
28+4=8x
32=8x
X=32/8
X=4
Width =4
Length =3x-2=3x4-2=10
cuanto es
0,68 + 0,24=?
0,68 - 0,24=?
_________________
3,76 + 1.24=?
9,32 + 0,68=?
8.49 + 2,26=?
respuesta con procedimiento por favor (no a calculadora)
20 POINTS: Mr. Holland wants to buy a suit marked $235. He receives a 25% discount, and then there is 7% sales tax. How much will Mr. Holland actually spend on the suit?
Don't forget to round your answer to the nearest hundredth!
Answer:
$235 - 25% = $176.25
$235x 7% = $16.45
176.25
16.45
+______
( $192.7 )
Please help I need help on this ASAPits due and 7 am and it’s 5 am here
Answer:
1. quadrant II
2. quadrant IV
3. quadrant I
4. quadrant III
5. quadrant I
6. quadrant IV
7. quadrant III
8. x axis
9. y axis
Step-by-step explanation:
Jack is investing $3,000 into an account
with an annual compound interest rate of
3% for 30 years. Jack will not make any
| additional deposits or withdrawals. How
X much interest will he have earned at the end X
of the 30 years?
Round your answer to the closest dollar
amount.
Answer:
Step-by-step explanation:
I think this is the equation for annual compunt interest
FV = PV(1 + int)^time PV is present value FV is the future value
PV + Interest = FV
FV - PV = Interest
FV - PV
Interest = [3000(1 + 0.03)^30] - 3000
= 3000(1.03)^30 - 3000
= 3000(2.4272) - 3000
= 7281.79 - 3000
= $4282 to the nearest dollar <------------ Fianl Answer
Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide.
How many containers, each one cubic foot in volume, can Mr. Powell fit into the storage space?
Answer:
To find how many 1 by 1 containers can fit in his storage space we must find the volume of the storage space in cubic feet. The formula for the volume of a rectangular prism aka the room is length x width x height. With this formula, all we need to do is plug in all the values given to the variables.
volume = length x width x height = 5 x 4 x 7 = 20 x 7 = 140
Final Answer: 140 one foot by one foot containers can fit in Mr. Powell's storage space
Andre ran 5/12 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this situation.
(512)x=8
512+x=8
512−x=8
512÷x=8
x=8÷(512)
x=(512)÷8
Answer:
You should choose Choice 1 and Choice 5.
Answer:
The best answers are (512)x=8, and x=8÷(512)
Step-by-step explanation:
PLEASE HELP I ONLY HAVE 5 MINUTES, ILL GIVE 10 POINTS AND BRIANLIEST!
Answer:
I’m probably wrong but i got the answer 25 square meters DONT depend on my answer
If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f – g)(x).
Answer:
3[tex]x^{2}[/tex] -2x - 6
Step-by-step explanation:
Subtract the 2 functions so 3[tex]x^{2}[/tex] - 2 - (2x + 4) so you get
3[tex]x^{2}[/tex] - 2 -2x - 4 so add like terms you get 3[tex]x^{2}[/tex] -2x - 6
Help me out please?
Answer:
y=-7/5x+15
refer to image
A brownie recipe calls for 1 cup of sugar and a cup of flour to make one batch of brownies. To make multiple batches, the equation f is where fis the number of cups of flour and s is the number of cups of sugar represents the relationship. Which graph also represents the relationship? Explain how you know. HURRY !!!!! PLEASE!!!!!!
Answer:
I cant see ths graph but look for one with a positive relationship between flour and sugar meaning that if flour is on one axis sugar should be on the other they should both go up by one every time
Step-by-step explanation:
The graph should say for example at 3 cups of flour that their is 3 cups of sugar. It should look upwards in growth and use whole positive numbers.
is a + b rational or irrational
Answer:
I think it would be rational
Answer and Step-by-step explanation:
It depends on the numbers that are inputted for a and b.
If the numbers that are inputted for both a and b are rational, then a + b would be rational.
If the numbers that are inputted for both a and b are irrational, then a + b would be irrational.
If one of the variables is rational and the other is irrational, then a + b would be irrational.
#teamtrees #PAW (Plant And Water)
what does 1/63 look like (show picture)
Answer:
do u mean a decimal or a graph bar
Step-by-step explanation:
0.01587301587
Each gallon of paint covers $200$ square feet. I have to paint one side of a wall that is $12$ meters tall and $80$ meters long. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?
The smallest whole number of gallons require to paint the wall is 52 gallons.
Given that, 1 gallon of paint = 200 ft², 1 foot = 0.3048 meters and dimension of wall is 12 meter by 80 meter.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Converting the dimension to feet :
12/0.3084 = 39.370078 feet
80/0.3084 = 262.46719 feet
Hence, the area of the wall is
Area = Length × width
Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²
Let number of gallons required = x
Since, 1 gallon = 200 ft²
x gallons = 10093.516 ft²
Cross multiply :
200x = 10093.516
x = 10333.35374274082/200
x = 51.6667687137041 gallons
x = 52 gallons
Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ2
answer, please. Look at the diagram below. Given ∠1 = 39°, find the measures of the angle 2
Step-by-step explanation:
angle 2 = 180-39= 141°
angle 2 = 141°
A rose garden is circular. The diameter of the garden is 18 feet. Which is closest to the
total area of the garden? Use 3.14 for π.
A. 56.52 ft2
B. 63.59 ft2
C. 113.04 ft2
D. 254.34 ft2
pls help i will send points
Answer:
b....................?.
Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys 1/4 of a yard of each pattern? patterns
Answer:
36
Step-by-step explanation:
just divided 9 by 1/4 I think I may be wrong.
Lines m and n are parallel solve for the following values of x. Tell which theorem you used.
Answer:
x=60°
Step-by-step explanation:
angle 135° and (2x+15)° are corresponding and thus are equal
Therefore (2x+15)°=135°
2x=135-15
2x=120°
X=60°
The price of an item has been reduced by $3.05. The original price was $69.54. What was the price now?
Answer:
$66.49
Step-by-step explanation:
subtract
69.54 - 3.05
I took a picture of the problem.
Answer:
- 28
Step-by-step explanation:
How many degrees is angle x?
Answer and Step-by-step explanation:
All triangles add up to 180, so to solve for x, add everything up and equal it to 180.
180 = 61 + 41 + x
180 = 102 + x
78 = x
78 is equal to x.
#teamtrees #PAW (Plant And Water)
The measure of the value of x is 78 degrees.
What is the triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
The sum of all the angles in a triangle is add up to 180 degrees.
The sum of angle 1 is 61, and angle 2 is 41 degrees.
The value of x is;
[tex]\rm \angle x+61+41=180\\\\\angle x+102=180\\\\\angle x=180-102\\\\\angle x=78[/tex]
Hence, the measure of the value of x is 78 degrees.
Learn more about triangle here;
https://brainly.com/question/14959496
#SPJ2
#5: Solve the
following
equation
60=5r-4r+14
(Show Work
Here)
Answer:
r = 46
Step-by-step explanation:
To solve the equation, solve for r by isolating the variable. Whatever you do to one side, do to the other.
1) First, simplify the right side by combining like terms. Subtract the coefficients of the terms with the same variables. Subtract 5r by 4r.
[tex]60 = 5r-4r + 14\\60 = r + 14[/tex]
2) Now, finally isolate r by subtracting both sides by 14.
[tex]60 = r + 14\\46 = r[/tex]
So, r = 46.
4 Write an inequality for the word phrase
-5 is fewer than 6 less than a numberk
Answer:
6 - 5 < X
Is your expression
WILL MARK BRAINILIST!!
Answer:
I think the answer is B because i counted all the beads the students had picked out and then put it as the denominato,r and then put the red colored beads as the numerator.
Michael is watch a movie that is 2 1/3 hours long if you has already watched 1 2/9 hours of the movie how much of the movie is left
PLEASE HELP!!! Will MARK BRAINLIEST AND EXTRA POINTS
Answer:
X= 8
Y= 25
Z= 9
Hope this helps!