Answer:
160 liters
Step-by-step explanation:
"a confectioner mixes forty liters of 60%":
Equation: 40 * .60
ow plug it in
0.60*40 + 0.10x = 0.20(40+x)
"how much of the 10% syrup should she use?":
.10x
"...to make a 20% sugar syrup.":
0.20(40+x)
Now that I have split the question into equations, let's put them together:
0.60*40 + 0.10x = 0.20(40+x)
Solve:
60*40 + 10x = 20*40 + 20x
10x = 40*40
x = 160 liters (amt of 10% solution needed)
Hope this helps :)
160 liters of 10% syrup is needed to make the mixture.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the amount of 10% syrup. Hence:
(60% of 40) + (x of 10%) = (x + 40) of 20%
0.6 * 40 + x * 0.1 = (x + 40) * 0.2
24 + 0.1x = 0.2x + 8
x = 160 liters
160 liters of 10% syrup is needed to make the mixture.
Find out more on Equation at: https://brainly.com/question/13763238
SIMPLIFY THE
EXPRESSION
3(x - 2) – 5x - 10
3(x−2)−5x−10
Distribute:
=(3)(x)+(3)(−2)+−5x+−10
=3x+−6+−5x+−10
Combine Like Terms:
=3x+−6+−5x+−10
=(3x+−5x)+(−6+−10)
=−2x+−16
Answer:
=−2x−16
Answer:
-2x - 16
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) - 5x - 10
Step 2: Simplify
Distribute 3: 3x - 6 - 5x - 10Combine like terms (x): -2x - 6 - 10Combine like terms (Z): -2x - 16To the nearest penny, what is the value of x?
Answer: $43.20
Step-by-step explanation:
During the fall a pumpkin patch advertises 4 pumpkins for $11.00. Which equation below represents this situation, where x is the number of pumpkins and y is the total amount due.
A:y=4/11x
B:y=2.75x
C:y=0.36x
D:11y=4x
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBbbbBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
what is a scale score of 1074 and a grade equivalent 6.8?
Answer:A grade equivalent (GE) score is described as both a growth score and a status score both. ... For example, if a seventh grade student earned a GE of 8.4 her raw score is like the raw score the typical student would likely earn on the same test at the end of the fourth month of the eighth grade.
Step-by-step explanation: This is basically the answer
A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some are retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?
Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
First, we establish the total cost formula for each:
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
Now, we equal both formulas and isolate x:
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
Prove:
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16.
a. 112
b. 32
c. 12
d. 52
Use the picture below of the isosceles triangle to solve for x & y.
a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43
Answer:
1) because A and B are supplementary
=> 2x + 4 + 3x + 16 = 180
<=> 5x = 160
<=> x = 32
with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112
2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86
we also have:
2y = 86
x = y + 47
=> y = 43
x = 43 + 47 = 90
is 3.254 rational or irrational
What is 11/4 multiplied by 1/9 in fractions
Answer:
11/36
Step-by-step explanation:
Hope this helps :)
24/36 - 1/4
answer in simplest form
Answer:
2/3
Step-by-step explanation:
10 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=9
Step-by-step explanation:
9 to the power of 6 is 531441
9 to the power of 3 is 729
531441 divided by 729 is 729
a third root of 729 is 9 because 9 times 9 times 9 is 729
so x is 9
please mark me as brainliest!!<3
Answer:
Step-by-step explanation:
I think it's X9?
I need helpppppppppppppppppp
Answer:
yes, they are both the same
Step-by-step explanation:
Answer: I think the answer is "NO" there not
Step-by-step explanation:
HOPE THIS HELPS SORRY IF I AM INCORRECT
Simplify the following 3^2 x 3^2
Answer: 81
Step-by-step explanation:
Answer:
3^4
Step-by-step explanation:
You can use the rule:
[tex] {n}^{a} \times {n}^{b} = {n}^{a + b} [/tex]
2+2 = 4 so that's your answer
and 3^ 4 is 81 when you put it in a calculator
Function
Not a function
y
5
4
3
2+
-5 -4 -3 -2 -1
+ X
1 2 3 4 5
-2 +
-3
-4
-5
Answer:
Function
Step-by-step explanation:
We can tell if the graph is function or not by doing line test.
First, we draw a vertical line.
Second, if the graph intercepts the line more than two points then it won't be a function.
If the graph only intercepts the line only once (one point) then It is a function.
From the graph, It is a function.
If a factory can produce 410 sandwiches in 1 hour, how many sandwiches will it produce in 5 hours?
The answer is 2050 I believe
Every hour the factory makes 410 sandwiches so if we multiply this by 5 we should get our answer
410 x 1= 410
410 x 2= 820
410 x 3= 1230
410 x 4= 1640
410 x 5= 2050
Brody and Carrie like to hike in the mountains. From the trailhead, they climb 103 feet until they reach a waterfall. On the next part of the trail, they descend 84 feet. To reach their destination, Brody and Carrie must then climb another 194 feet. Their destination is 734 feet above sea level. At what elevation is the trailhead?
Answer:
521 feet.
Step-by-step explanation:
In the given question, the number of feet covered with respect to climbing would have a positive value. While the number of feet descended would have negative value.
The total feet covered by Brody and Carrie, with the elevation of the trail-head should be equal to the elevation of their destination above sea level.
To determine the elevation of the trail-head, let its elevation be represented by h.
So that,
h + 103 - 84 + 194 = 734
h + 297 - 84 = 734
h + 213 = 734
h = 734 - 213
h = 521
h = 521 feet
The elevation of the tail-head is 521 feet.
determine the rate of change (slope) in the graph
Answer: 2/3
Step-by-step explanation: the slopes line is 2 over 3
Answer:
Step-by-step explanation:
:(
Help plz i suck at math
Answer:
18.75
Step-by-step explanation:
4p - 5 = 70 (add 5 to 70)
4p - 75 (divide 4 and 75)
18.75
Solve the inequality
12p < 96
p < 8
p < 108
p < 84
p > -8
Answer:
your answer would be A
Step-by-step explanation:
just divide both sides by 12
therefor you answer is a
mark me brainly
also thanks for the points
andddd
sparkles and love
☆*: .｡. o(≧▽≦)o .｡.:*☆
Answer:
A
Step-by-step explanation:
5¹ x 34 ÷ 5 x (3/4)²
Answer:
60.444
Step-by-step explanation:
Wyatt buys a one-quart bottle of juice for $4.80. What is the unit rate of the cost of
the juice per fluid ounce?
Answer:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate = [tex]\frac{4.80}{32}[/tex]
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
find the positive integer n for which 98! x 9900 = n!
Answer:
3
Step-by-step explanation:
how to draw angle of 135 degree
Answer:
So draw a straight line. This measures as 180 degrees on your protractor. Align your protractor to the straight line, with the circle point in the middle of the line and notice the labels on the side. One of them, between 90 and 180 on the outer scale will measure as 135. Mark this on top of the paper, and remove the protractor. When you remove it, extend your mark to the middle of your line, and this gives you an obtuse angle of 135 degrees. Be sure to recheck!
Step-by-step explanation:
Answer:
see the pic
Step-by-step explanation:
Hope it will help :)
Plss helpp
me algebra
Answer:
D
Step-by-step explanation:
when shifting left or right its in parentheses
when shifting left its a + when shifying right its a -
hope this helps <3
What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the segment into a ratio of 2 to 1?
Given:
The directed line segment from (-2, -5) to (7, 10).
A point partitions the segment into a ratio of 2 to 1.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
The point divides the line segment from (-2, -5) to (7, 10) in 2:1.
Using section formula, we get
[tex]Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)[/tex]
[tex]Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)[/tex]
[tex]Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)[/tex]
[tex]Point=\left(4,5\right)[/tex]
Therefore, the coordinates of the partition point are (4,5).
Answer:
4.5
Step-by-step explanation:
Write an equation in point-slope
form for the line that passes
through (1,4) with a slope of 3.
Help me please!
Answer:
Answer. We know that point slope form of a linear equation is y - y₁ = m(x - x₁). Given: m = 4, x₁ = -1, y₁ = -3.
Step-by-step explanation:
Katherine is deciding which catering company she should use for Mom’s 50th birthday party. At Bashful’s Birthday Blast there is a fee of $16.95 and a charge of $9.00 per person. At Bertha’s Ballroom Blitz there is a fee of $25.50 and a charge of $5.00 per person. For how many person will the total cost for both companies will be the same?
Answer:
about 2 people
Step-by-step explanation:
16.95+9x=25.50+5x
16.95+4x=25.50
4x=8.55
x=2.13
help pls i’m bout fail math:/
Answer:
B would be the right answer
456, 930, 1860, 3720, ?
Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,
obtuse or right.
5, 7, 10
Answer:
steps below
Step-by-step explanation:
1. It can be formed a triangle: sum of any two sides is greater than the 3rd side
2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²
the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)
Look at this diagram.
If TV and WY are parallel lines and m<YXZ = 130°, what is m<VUX?
____°
Answer:
130°
Step-by-step explanation:
Angle VUX and Angle YXZ are vertical lines ! Which means that they are both exact
Bam! -w-
Lol Hope This Helps !