Answer:
3/8 = 12/32 is a proportion
Step-by-step explanation:
2:3 and 9:4 is not a proportion, 10/12 and 20/25 is not a proportion, 4/9 and 17/38 is not a proportion
Answer the question below please (file attached) 50 POINTS
Answer:
They bought 6 vanilla wafers and 21 chocolate, they add up to 27.
x = amount of vanilla wafers
y = amount of chocolate wafers.
4x+y = 45
x+y= 27
Step-by-step explanation:
x = amount of vanilla wafers
y = amount of chocolate wafers
Vanilla wafers = 4$ each
Chocolate wafers = 1$ each.
So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.
With both equations we can substitute.
1. Change one equation so one variable is on one side
x+y = 27 to y = 27-x
2. Substitute the variable from the other equation.
4x+y = 45 to 4x+27-x = 45
3. Solve the equation for x.
4x+27-x = 45
3x+27 = 45
3x = 18
x = 6 (amount of vanilla wafers)
4. substitute with equation.
y = 27-x to y = 27-6
5. Solve the equation for y.
y = 27-6
y = 21 (amount of chocolate wafers)
Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that \[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]
Answer:
k = 11 or 20
Step-by-step explanation:
The sum of terms of an arithmetic sequence is given by ...
Sn = (a1 +an)(n/2)
We want to find the value of n for a particular series to have a particular sum.
__
parametersThe series of interest is defined by ...
an = 48 -3n
so, the first term is ...
a1 = 48 -3(1) = 45
The k-th term is ...
ak = 48 -3k
__
sumThen the sum is ...
Sk = (45 +(48 -3k))(k/2)
We want this value to be 330, so we have ...
330 = (93 -3k)(k/2)
__
solution220 = (31 -k)k . . . . . . . . multiply by 2/3
k² -31k +220 = 0 . . . . . in standard form
We want factors of 220 that total 31.
220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)
The last of these pairs totals 31, so we have ...
(k -11)(k -20) = 0 . . . . . factored form of the equation
k = 11 or k = 20 . . . . . values of k that make the factors zero
Possible values of k are 11 and 20.
Solve the system of equations 3x - 2y = 8 x-2y = 4
Answer: (2, -1), or x = 2 and y = -1
By graphing:
We can solve by graphing. See attached.
-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.
By substituting:
We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.
3x - 2y = 8
x - 2y = 4 -> x = 2y + 4
-
3x - 2y = 8
3(2y + 4) - 2y = 8
6y + 12 - 2y = 8
4y = -4
y = -1
-
x - 2y = 4
x - 2(-1) = 4
x + 2 = 4
x = 2
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Profit = income - cost
Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:
Price of each comb = (x/2) / x = 0.5
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
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Answer:
$0.50
Step-by-step explanation:
The answer above is correct.
Shawna says her mug holds 100 milliliters.
Shelly says that the mug holds 1 liter.
Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no
A board 120inches long is divide into 2 sections. If the ratio of the 2 sections. 3:5 Wht are the lengths of the section
Answer:
45, 75
Step-by-step explanation:
3+5 = 8
120 / 8 = 15
15 x 3 = 45
15 x 5 = 75
Answer:
45,75
3+5 = 8
120 / 8 = 15
15 x 3 = 45
15 x 5 = 75
Step-by-step explanation:
have a great day!
Petra is making bread. She puts 4 1/2
cups of flour in a bowl. Her sister Leslie is watching and tells Petra that she needs to remove 3/4
cup of flour, which Petra does.
The amount of flour left in the bowl is(blank) Response area cups.
A:2 1/8
B: 2 1/4
C:3 1/4
D:3 3/4
Answer:
B
is the write I think ......!
A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
A biology student wants to determine if using a fertilizer would help promote growth of new babies in spider plants. The student has access to 90 spider plants of three varieties: green, variegated, and curly. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. After one year, the shoots will be counted for each plant.
Which of the following describes a random block design for this experiment?
A) The plants are numbered 01–90. Using a line from a random number table, the first 45 two-digit numbers, ignoring repeats and the numbers 91–99 and 00, represent the plants that will receive fertilizer. The remaining 45 plants will not receive fertilizer.
B) The plants are paired together based on similar size and numbered 1 and 2. Within each pair, a 6-sided number cube is rolled. If it lands on 1, 2, or 3, plant 1 receives the fertilizer and plant 2 does not receive fertilizer. If the cube lands on 4, 5, or 6, plant 1 does not receive fertilizer and plant 2 receives fertilizer. This is done for each of the 45 pairs of plants.
C) The plants are grouped based on variety. There are 30 plants of each variety. The plants within each variety are numbered 1–30, and the numbers are put in a random number generator. The first 15 unique numbers represent the plants in each variety that will receive fertilizer and the remaining 15 numbers will represent the plants in each variety that will not receive fertilizer.
D) The plants are grouped based on size. The 30 biggest plants are placed in one group and the 30 smallest plants in another other group. The remaining 30 plants are placed in a third group. For each group, a coin is flipped. If the coin lands on heads then the group will receive the fertilizer. If it lands on tails, then the group will not receive fertilizer. Repeat this procedure for the other two groups.
Answer:
it is b
Step-by-step explanation:
that is the most effective way to measure how well the fertilizer works with all of the plants
PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answer:
100
Step-by-step explanation:
She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.
(75 + 80 + x)/3 = 85
Times by 3.
75 + 80 + x = 255
155 + x = 255
subtract 155.
x = 100
She needs 100 on the third test.
If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?
Answer:
$160
Step-by-step explanation:
the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.
[tex]133/8=16.625[/tex]
[tex]\approx16[/tex]
multiply 16 by $10 to get $160
Please graph y=log3(x+2) and then find the asymptote domain and range
Answer:
Step-by-step explanation:
y = a * log_b (x - h) + k
(h,k) = (x,y)
h = shift right/left
k = shift up/down
Original Points of y = log_3
y = log_3 (x + 2)
h = -2 thus shift left.
Asymptote: x = -2
Domain: [-2 , +inf)
Range: (-inf , +inf)
Calculus, factor the given polynomial.
Answer:
( x-7) (x-9)
Step-by-step explanation:
x^2 -16x+63
What are the possible number that multiply to 63 and add to -16
-9 * -7 = 63
-9+-7 = -16
( x-7) (x-9)
A circle has an area of 50.24 in.². Daisy solves
the equation as shown below to find the radius
of the circle. What is the diameter of the circle?
1st Step:
50.24-314rr 2nd Step: 16 = rr
Four times
itself is 16!
3.14
3.14
r = 4
A
B
4 in.
8 in.
16 in.
C
Answer:
8in
Step-by-step explanation:
Using the formulas
[tex]area = 2\pi \: r {}^{2} [/tex]
d= 2r
Solving for d
d= 2r
[tex]d = 2 \sqrt \ \frac{a}{\pi} = 2. \sqrt{ \frac{50.24}{\pi} } = 7.99797[/tex]
This is about to be due in 10 mins.
Find the area:
The area of the composite figure in the given diagram is calculated as: 152 square inches.
What is the Area of a Composite Figure?The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.
The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw
The area of the figure = (20)(6) + (8)(4)
The area of the figure = 152 in.²
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Factor completely.
5x² + 25x + 20 =
Answer: 5(x + 1)(x + 4)
Step-by-step explanation Tell me if it is wrong
In January 2020 oil price was $1251 but in April 2020 the price was $1902. What is the percent increase or decrease.
Write your answer without the % to the nearest tenths
A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?
Step-by-step explanation:
there are two types of collective internal and external
Which system of equations is represented in the graph? I could really use some help!
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:
Answer:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
Step-by-step explanation:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
What is the volume of this figure?
Answer:
4,105 yd cubed
Step-by-step explanation:
This can be divided into three rectangular prisms, one of which is constructed from triangular prisms
19*9*10 = 1,170 yd
30*9*7 = 1,890 yd
10*5.5*9 = 1,045 yd
Adding them all together gets
4,105 yd cubed
PLS HELP QUICKLY
Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?
There is no correlation between age and length of stay.
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.
The true statement is there is no correlation between age and length of stay.
What is correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.
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Helppppppppppppooooo
Answer:
864 ft^2
Step-by-step explanation:
Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B
one side is 20 x 14 = 280
another side is 12x14 = 168
another side is 16x14 = 224
the triangle bases are A=(1/2)bh
(1/2)12 x 16 = 96
2(96) = 192
Add all sides together 192 + 224 + 280 + 168 = 864
A ladder that is 5 meters long is leaning against a wall. The vertical height from the base of the wall to the top of the ladder is 3 meters. If ∠θ is the angle that the ladder makes with the ground, what is the approximate measure of ∠θ?
The approximate angle that the ladder makes with the ground is 37 degrees
Angle of elevationThe given question will be solved using the SOH CAH TOA identity.
The given statement will form a right triangle with the following parameters
Hypotenuse = 5m
Height(opposite) .= 3m
Determine the approximate measure of ∠θ
sin ∠θ = opp/hyp
sin ∠θ = 3/5
sin ∠θ = 0.6
∠θ = arcsin(0.6)
∠θ = 37degrees
Hence the approximate angle that the ladder makes with the ground is 37 degrees
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You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a number less than 4 and then picking a number greater
than 2?
Write your answer as a percentage.
%
Answer:
3 is the right answer because it is less than 4 and greater than 2
can anyone tell me what point I plot these two at pls
Answer:
[tex]x^{2} +y^{2}=25[/tex]
[tex]x^{2} +y^{2}=5[/tex]
Radius: 5
Radius: [tex]\sqrt{5}[/tex]
Step-by-step explanation:
(see images below)
Hope this helped!
~rere
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.
================================
Flying with the wind, a plane flew 1,200 mi in 4 h. Against the wind, the plane required 6 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
Answer:
Rate of plane = 250 mph
Rate of wind = 50 mph
Step-by-step explanation:
Let the speed of the plane in calm air be x mph& speed of the wind be y mphSpeed of plane with wind = (x + y) mphSpeed of plane against wind = (x - y) mphFormula relating speed, time and distance is given as: speed*time = distanceAccording to the first condition: (x+y)*4 = 1200-> x + y = 300 (1)According to the second condition: (x-y)*6= 1200-> x - y = 200 (2)Adding equations (1) & (2), we find:2x = 500-> x = 250 (Dividing 500 by 2)-> y = 50 (Plugging x = 250 in eq 1)Rate of plane = 250 mphRate of wind = 50 mphYou are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?
A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.
