A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many quarts of each solution should the teacher mix to get the desired result?
Answer:
6 2/3 qt 80%13 1/3 qt 20%Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
Estimate the cost of painting a concrete patio if it is a 14 foot by 8 foot rectangle and a quart of paint that covers 47 square feet costs $10.99
Answer:
Estimate the cost of painting a concrete patio if it is a 14 foot by 8 foot rectangle is $25.76
Step-by-step explanation:
Underline is the given:
a concrete patio if it is a 14 foot by 8 foot rectangle
area of the concrete patio: 14ft x 8ft = 112
quart of paint that covers 47 square feet costs $10.99
the cost per foot: 10.99 / 47 = $0.23
the area is 112 so multiply it by cost per foot:
112 x $0.23 = $25.76
The estimated cost of painting the concrete patio is approximately $32.97.
To estimate the cost of painting a concrete patio, we first need to calculate the total area of the patio. The patio is a rectangle with dimensions 14 feet by 8 feet, so the total area is 14 feet × 8 feet = 112 square feet.
Next, we determine how many quarts of paint are needed to cover the patio. Since each quart covers 47 square feet, we divide the total area by 47:
112 square feet ÷ 47 square feet/quart ≈ 2.38 quarts
Since we can't purchase a fraction of a quart, we'll round up to 3 quarts.
Finally, with each quart costing $10.99, the estimated cost of painting the concrete patio is:
3 quarts × $10.99/quart = $32.97
So, the estimated cost of painting the concrete patio is approximately $32.97.
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A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get?
Answer:
$5.02
Step-by-step explanation:
$2.49 × 2 = $4.98
$10 - $4.98 = $5.02
solve the equation by graphing y = -x2 + 9 Y= 2x+1
Answer:
Please read the explanation
Step-by-step explanation:
I recommend using desmos (search it as "desmos graphing calculator") as it is the most popular website students use to graph equations of almost all kind.
type in both equations, and I don't know if you're supposed to find the X intercepts or Y intercepts. but this website will save you!
how many numbers between 75 and 500 are divisible by 7?
PLEASe help 30POINTS
What is the length of segment AB ?
Answer:
[tex]\sqrt{74}[/tex]
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(2,-6)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,1)[/tex]
[tex]d=\textsf{length of segment AB}[/tex]
Substituting points into the distance formula and solving for d:
[tex]\implies d=\sqrt{(7-2)^2+(1-(-6))^2}[/tex]
[tex]\implies d=\sqrt{5^2+7^2}[/tex]
[tex]\implies d=\sqrt{25+49}[/tex]
[tex]\implies d=\sqrt{74}[/tex]
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad\qquad \qquad \huge \bold{\sqrt{74} }[/tex]
================================
[tex] \large \sf \underline{Solution:}[/tex]
Solving;
[tex] \sf{D=\sqrt{(7-2)^2+(1-(-6))^2}}[/tex][tex] \sf{D=\sqrt{5^2+7^2}}[/tex][tex] \sf{D=\sqrt{25+49}}[/tex][tex] \sf \underline {\pmb{D=\sqrt{74}}}[/tex]Hence, the length of segment AB is √74.
================================
Kylie buys a lamp with a price tag of $40. The sales tax rate is 5.25%. What is the total price of the lamp?
Amy read 25 minutes each day. She has read 14 minutes. How many more
minutes does she need to read?
FREE EASY POINTS, JUST GIVE THE RIGHT ANSWER PLSS!!
Answer:
11 minutes
Step-by-step explanation:
25 - 14 = 11
From a population consisting of 52% females and 48%
males, an individual, drawn at random, is found to be color blind. If we
assume that the proportions of color-blind females and males are 25% and
5%, respectively, what is the probability that the individual drawn is a
male
Answer:
2.4%
Step-by-step explanation:
Given information :
% of Females = 52%% of Males = 48%% color blind Females = 25%% color blind Males = 5%Solving :
P (male & color blind)48% x 5%0.48 x 0.050.0242.4%Is y = 1/x linear or non linear
Answer: This answer is non-linear.
Step-by-step explanation:
The problem [tex]y=\frac{1}{x}[/tex] has Vertical Asymptotes,
Horizontal Asymptotes,
and No Oblique Asymptotes making, [tex]y=0[/tex] and [tex]x=0[/tex].
A linear function is a form of [tex]y=mx+b[/tex].
This answer would be non-linear
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help, urgently pls, check out my profile i need help with pls
Answer:
Perimeter = 132.2 ft
Area = 766.9 ft^2
Step-by-step explanation:
Perimeter of Circle : P = 2 * pi * r
Perimeter of Rectangle : P = 2*l + 2*w
Perimeter of Circle : P = 2 * pi * 15 = 30*pi ft
Perimeter of Rectangle : P = 2*15 + 2*4 = 30 + 8 = 38 ft
Total Perimeter = 132.2 ft
Area of Circle : A = pi * r^2
Area of Rectangle = L * W
Area of Circle : A = pi * 15^2 = 225*pi ft^2
Area of Rectangle = 15 * 4 = 60 ft^2
Total Area = 225*pi + 60 = 766.9 ft^2
Answer:
236.7 = area
55.1 = perimeter
HELPPPPPPPPPPPP!
Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds. The chocolate costs $3.50 per ounce and almonds cost $4.50 per ounce. Penny has $50 to spend and plans to spend it all.
Let x = the amount of chocolate
Let y = the amount of almonds
Determine which equations you would use to form a system of equations for this scenario.
Question 18 options:
x + y = 50
x + y = 12
3.5x + 4.5y = 50
3.5y + 4.5x = 50
3.5x + 4.5y = 12
3.5y + 4.5x = 12
Answer:
Total ounces should be 12
and hence
x + y = 12
and total money to spend is 50, hence
3.5x + 4.5y = 50
Therefore, these are the two ✌️ equations you should use
x + y = 12
3.5x + 4.5y = 50
Please Help with this...
Answer: 3
Step-by-step explanation:
How to solve this problem???
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \underset{\textit{we'll use this one}}{log_a a^x = x}\qquad \qquad a^{log_a x}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2.7e^x-5 ~~ = ~~33.6\implies 2.7e^x~~ = ~~38.6\implies e^x=\cfrac{38.6}{2.7} \\\\\\ \log_e(e^x)=\log_e\left( \cfrac{38.6}{2.7} \right)\implies x=\ln\left( \cfrac{38.6}{2.7} \right)\implies x\approx 2.66[/tex]
Find the area of the figure. Round to the nearest hundredth where necessary.
35 in
37 in
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.
Determine the period
Find m WVT
A. 53
B. 45
C. 40
D. 50
Answer:
ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53
what are the zeros of this function? f(x) = 3x^2 + 2x - 8
Answer:
4/3, -2
Step-by-step explanation:
Simplify the following expression using prim factorization 9+2*24
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The prime factorization of the expression can be done as,
9 + (2×24)
= (3×3) + (2×2×2×2×3)
= 3 [3+(2×2×2×2)]
= 3 [3 + 16]
= 3 (19)
= 57
Hence, the simplification of the given expression 9 + (2×24) is 57.
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Screenshot Below Help me answer because im bad sorry
A drawing of the re-arranged triangles on a 1-cm grid paper which forms a parallelogram is shown in the image attached below.
What is a parallelogram?A parallelogram is a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional figure that has two (2) equal and parallel opposite sides.
In this exercise, you would re-arrange the given triangles on a 1-cm grid paper to form a parallelogram with two (2) equal and parallel opposite sides as shown in the image attached below.
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Super Sprouts children's store is having its annual spring sale, when every item in the store gets marked down. During the sale, pajama sets sell for $6 less than full price. Mrs. Rodriguez purchases 4 matching pajama sets: one for each of her children. She pays a total of $68. How much does each pajama set cost at full price? $
Answer: $23
Step-by-step explanation:
She buys four pajama sets for $68:
-> Divide total by 4
$68 / 4 = $17
The sets are on sale for $6 less:
-> Add 6 to individual price
$17 + $6 = $23
Full price:
$23
Giving brainliest and 50 points
Answer:
mean: 26
minimum: 0
first q (lower): 5
median: 27
third q (upper): 44
max: 45
(all your answers for Aaron are correct as well:)
hope this helps:)
) Your 2 year investment of $5,300 earns 2.9% and is compounded annually. What will
your total return be?
The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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__[???]___, is the capacity to do work.
A: Energy
B: Velocity
C: Heat
D: Momentum
help will mark Brainliest!!
Answer:
Jonah should shade 6 parts of 10 equal parts to show 3/5
Step-by-step explanation:
Jonah should shade 6 parts of 10 equal parts to show 3/5
3/5 * 2 = 6/10
7/10 + 6/10
Help me, please.. +50 points (and brainliest if someone else answers)
Given phrase - 66 less than twice Greg's age
In the given phrase, "twice" means "double", which means "2 times".
⇒ 66 less than 2(Greg's age)In the given phrase, "less than" means "subtraction in reverse form".
⇒ 66 - 2(Greg's age)Reversing the expression, we get:
⇒ 2(Greg's age) - 66The question has stated that "Greg's age" will be represented as "g". Let's substitute "Greg's age" as "g". Then,
⇒ 2(Greg's age) - 66⇒ 2(g) - 66 = 2g - 66Therefore, the expression that represents the phrase is 2g - 66.
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(a) If the monthly water usage is 18 HCF, which plan costs more?
O Residential Plan
O Business Plan
How much more does it cost than the other plan?
$0
(b) For what amount of monthly water usage do the plans cost the same?
If the monthly water usage is more than this amount, which plan costs more?
Residential Plan
Business Plan
Answer: A THE ANSWER IS A so this is the calculation of it means of that I say A
Step-by-step explanation:
√343k please simplify this
Answer:
the answer of√343k is 18k
PLEASE HELP FAST WILL GIVE BRAINLY
write an equation in point-slope form for the given point and slope:
point: (-7,5)
slope :3
Answer:
I believe it is y-5=3(x+7)
Step-by-step explanation:
Point Slope form = y-y1=m(x-x1)
The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.
what is the value of x
X-3 / 2.8= 1.2
Answer:
x=6,36
Step-by-step explanation:
step 1 : cross multiply
x-3=3.36
x=3.36+3
x=6.36