Answer:
12 cupcakes were sold
11 brownies were sold
Step-by-step explanation:
Let c = number of cupcakes sold
Let b = number of brownies sold
Total number of items sold = 23
⇒ b + c = 23
cupcake = $1.50 each
brownie = $1.25 each
Total money made = $31.75
⇒ 1.5c + 1.25b = 31.75
Rewrite b + c = 23 to make b the subject, substitute into 1.5c + 1.25b = 31.75 and solve for c:
⇒ b = 23 - c
⇒ 1.5c + 1.25(23 - c) = 31.75
⇒ 1.5c + 28.75 - 1.25c = 31.75
⇒ 0.25c + 28.75 = 31.75
⇒ 0.25c = 3
⇒ c = 12
So 12 cupcakes were sold
Substitute found value for c into b + c = 23 and solve for b:
⇒ b + 12 = 23
⇒ b = 11
So 11 brownies were sold
There are 15 female performers in a dance recital. The ratio of men to women is 2:5. How many men are in the dance recital?
Answer:
There are 6 men in the dance recital.
Step-by-step explanation:
We have a ratio of 2:5, men to women. If there are 15 female performers we can do a cross multiplication to find the males performers:
Then it will be
[tex]\tt \frac{15}{x} =\frac{5}{2}[/tex]
[tex]\tt 5x=15*2[/tex]
[tex]\tt 5x=30[/tex]
[tex]\tt x=\frac{30}{5}[/tex]
[tex]\tt x=6[/tex]
[tex]\tt Therefore,there~are~6~Men~at~the~dance[/tex]
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What is the solution to the equation below?
square root + 9 = 11
Answer:
A. x = 4
Step-by-step explanation:
[tex]\sqrt{4} +9=2+9=11[/tex]
Hope this helps
Answer:
A. [tex]x =4[/tex]
Step-by-step explanation:
[tex]\sqrt{x} + 9 = 11[/tex][tex]\sqrt{x} = 11-9[/tex][tex]\sqrt{x} = 2[/tex][tex]x = 2^2[/tex][tex]x =4[/tex]
I need the answer and quick, please!
0.65 T = _ lb
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
thus:
0.65T * (2000lb / 1 T) = 1300 lbs
Hope that helps!
Estimate the sum of 604 and 392
Answer:
996
Step-by-step explanation:
Although that's the exact answer
janice has 27 feet of ribbon, How many more feet does she need to buy so that she will have 82 feet of ribbon
Answer:
55 feet
Step-by-step explanation:
This is a subtraction problem.
You need to find the difference between what Janice has (27feet) and what she would like to have (82feet)
82 - 27
= 55
Janice needs 55 feet of ribbon. This amount along with the 27 feet she already has will give her a total of 82 feet of ribbon.
55 + 27 = 82
find sin 0
a 8/15
b 15/8
c 15/7
d 8/17
Answer:
d
Step-by-step explanation:
Find the slope of the line passing through the points (8, -2) and (1, -6).
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in the given points into the equation:
[tex]Slope=\frac{-6-(-2)}{1-8}=\frac{-6+2}{-7}=\frac{-4}{-7}=\frac{4}{7}[/tex]
Find sinθ×cos^2θ when sinθ=14 and θ is in Quadrant I.
cosA:-
[tex]\\ \rm\longmapsto \sqrt{1-sin^2A}=\sqrt{1-(1/4)^2}=\sqrt{1-1/16}=\sqrt{15/16}=\dfrac{3\sqrt{5}}{4}[/tex]
In Q1 all are positiveNow
[tex]\\ \rm\longmapsto sinA+cos^2A[/tex]
[tex]\\ \rm\longmapsto 1/4+15/16[/tex]
[tex]\\ \rm\longmapsto 4+15/16=19/16[/tex]
Last one and I’m done :’) help
Answer:
#1= 24.23
#2= 57.91
#3= 35.84
#4= 48.59
Step-by-step explanation:
soh cah toa
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan= opposite/adjacent
use inverse sin cos and tan to find angles!
Answer:
Example 1 tan-1(9/20)=24.23°
Example 2 cos-1(17/32)=57.91°
Example 3tan-1(13/18)=35.84°
Example 3 sin-1(21/28)=48.59°
In a chess club, 75% of the members are boys. Of these boys, 8% have hazel eyes. If 6 boys have hazel eyes, how many people are in the chess club.
Define a variable for the unknown quantity.
Percentage
8% x 75%.x = 6
0.06x = 6
x = 100
A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?
9 ft
10 ft
11 ft
12 ft
Answer:
B. 10 ftStep-by-step explanation:
Let the width of the pool deck be x.
Dimensions of the pool are 12 + 2x and 24 + 2x.Total area is 1408 ft².We have equation:
(12 + 2x)(24 + 2x) = 140812*24 + 12*2x + 24*2x + (2x)² = 1408288 + 72x + 4x² = 14084x² + 72x + 288 - 1408 = 04x² + 72x - 1120 = 0x² + 18x - 280 = 0x² - 10x + 28x - 280 = 0x(x - 10) + 28(x - 10) = 0(x - 10)(x + 28) = 01)
x - 10 = 0x = 102)
x + 28 = 0x = - 28 (discarded as negative)Correct choice is B
The width of the pool deck is 10 feet (x = 10).
So, the answer is option B: 10 ft.
Here, we have to find the width of the pool deck, we need to calculate the total area occupied by the pool and the deck and then find the value of x that makes the total area equal to 1,408 square feet.
First, let's calculate the area of the pool.
The pool is 12 feet by 24 feet:
Area of the pool = Length × Width
Area of the pool = 12 ft × 24 ft
Area of the pool = 288 ft²
Now, we want to add the deck around the pool.
The length and width of the entire area (pool + deck) will be (12 + 2x) feet and (24 + 2x) feet, respectively, because we add x feet to both sides of the pool.
Area of the entire area (pool + deck) = (12 + 2x) ft × (24 + 2x) ft
We want this area to equal 1,408 square feet:
(12 + 2x) ft × (24 + 2x) ft = 1,408 ft²
Now, we can solve for x:
(12 + 2x) × (24 + 2x) = 1,408
Expand the equation:
288 + 48x + 24x + 4x² = 1,408
Combine like terms:
4x² + 72x - 1,120 = 0
Now, let's solve this quadratic equation for x.
We can either factor it or use the quadratic formula:
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
where a = 4, b = 72, and c = -1,120.
x = (-(72) ± √(72² - 4 * 4 * -1,120)) / 2 * 4
x = (-72 ± √(5,184 + 17,920)) / 8
x = (-72 ± √23,104) / 8
x = (-72 ± 152) / 8
Now, we have two possible solutions:
x = (-72 + 152) / 8
x = 80 / 8
x = 10
x = (-72 - 152) / 8
x = -224 / 8
x = -28
Since we are interested in a positive width for the deck, the width of the pool deck is 10 feet (x = 10).
So, the answer is option B: 10 ft.
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Find the perimeter of the figure to the right
Answer:
241/20 or 24.05 0r 481/20
Step-by-step explanation:
First simply your fractions
then add 6+4 to your fractions !!
Answer:
24 1/20 meters
Step-by-step explanation:
To find perimeter, you add all the side lengths.
6 4/5 + 4 + 6 + 7 1/4 = 24 1/20
Y » Jason volunteered last month at two places: an animal shelter and the library. He spent 5 times as long volunteering at the animal shelter as he did at the library. 1) Pick the diagram that models the ratio in the story. shelter library shelter library 4) Last month, Jason volunteered 20 hours at the animal shelter. How many hours did he volunteer last month altogether? hours Submit
Answer:
24
Step-by-step explanation:
L = library
A = animal shelter
A = 5L
20 = 5L
20 ÷ 5 = 5L ÷ 5
4 = L(L = 4)
4 + 20 = 24
Which of the following is a point where the graph
of the function f(x) = (2x + 5)2 intersects the
X-axis?
Answer:
-When (2×-5) intersects at ×-axis the value of × will be zero.
=>F(×)=× 0=2×-5
hence,
0,=2×-5
5=2×
=>×=5/2
Step-by-step explanation:
hpe it hlps
On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If four people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?
Answer:
100% for the conditions given.
Step-by-step explanation:
P(out) = .34 + .18 + .13= 0.65
This is the probability for going out. The 4th person is the one not going out. We are to assume that he wants to watch Monday Night Football or something like it
So the probability of not going out for 1 person is 0.35
You can justify this in two ways.
Either you can rely on the given (P(stay at home) = 0.35)
or you can take the probability of the 3 given who do go out and subtract it from certainty (or 1)
1 - 0.65 = 0.35
Brainliest if correct
10
Answer:
[tex] - 1(2)( - 5) \\ - 2 \times ( - 5) \\ = 2 \times 5 \\ 10[/tex]
Answer:
10
Step-by-step explanation:
-1(2)(-5)
-1(-10) = 10
[RevyBreeze]
Answer ASAP. What is the distance between (1, -4) and (1, 18)?
0 2 units
5 units
19 units
22 units
Answer:
22
Step-by-step explanation:
I used the distance formula
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
(1, -4), (1, 18)
To find the distance between the two points we need to plot them on a graph and then count how many units are between the two.
On the same y-axis
[tex]4+18=22[/tex]
"22 units" or the fourth option.
Hope this helps.
What’s the correct answer for this?
Answer:
-20/3
Step-by-step explanation:
m = ∆y/∆x
∆y = -8 - 12 = -20
∆x = 8 - 5 = 3
Hence m= ∆y/∆x = -20/3
How do we find the equivalent ratio of 8/20 PLS HELP ITS RLLY IMPORTANT!!!!
Answer:
2/5, 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100 ...
What is the value of x ? (Make sure you give the value of x !!!!)
A 20 degrees
B 50 degrees
C 30 degrees
D. 40 degrees
Answer:
The value of x is 20 degrees.
Step-by-step explanation:
The three angles of a triangle must equal 180 degrees.
100 + 40 + 2x = 140 + 2x
180 - 140 = 40 (goal)
2(x) = 40
2(20) = 40
A) 20 degrees
A square has a perimeter of 36 cm.
What is the length of each side?
Answer:
9cm
Step-by-step explanation:
a square has 4 equal sides therefore if you divide 36 by 4 you will get the length of 1 side
Jayla got in her car and started driving toward her grandmother's house. After driving for 2 hours and 5 minutes, Jayla took a break for 1 hour and 20 minutes to have a snack. Then Jayla drove 2 hours and 5 minutes and finally arrived at her grandmother's house at 12:45 P.M. What time did Jayla start driving?
Answer:
5 hours, and 30 minutes ago, which would be 7:15 AM
Step-by-step explanation:
add hours, then minutes, then subtract both times: 12:45 - 5:30 = 7:15
What is the width and height of this triangle?
Answer:
The base is 6.69 and the height is 6.02 (these are rounded to the nearest hundredth)
Step-by-step explanation:
soh-cah-toa
cos 42 = adjacent/9
adjacent = cos 42 x 9
adjacent = 6.69
sin 42 = opposite/9
opposite = sin 42 x 9
opposite = 6.02
Help please due today.
Answer:
I think its 2nd one
HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)
Please help me on this
Answer:
a) the x-coordinate changes sign
b) the y-coordinates are unchanged
c) this is a reflection across the y-axis
Step-by-step explanation:
a)Each image point is on the same horizontal line as the original. It is as far from the y-axis as the original, but in the opposite direction. Its x-coordinate has changed sign.
__
b)The y-coordinate is the same for each image point as for the original. The y-coordinates have not changed.
__
c)The line of reflection is the perpendicular bisector of the segment joining the original point and its image. In every case, that is the y-axis. The image is a reflection across the y-axis.
The area of an equilateral triangle varies directly as the square of side s. What is the equation
Answer:
A = ks^2
I hope this helps :D
Given the function f(x) = x + 1 and the linear function g(x), which function has a greater value when x = 2?
f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 2.
g(x) is undefined when x = 2.
Answer:
F(x) is greater.
Step-by-step explanation:
f(2) = 2 + 1
(2,3)
Have a good day!
Answer:
F(x) is greater.
Step-by-step explanation:
There is a pair of parallel sides in the following shape.
4
9
10
What is the area of the shape?
The area of a shape is the amount of space on the shape
The area of the shape is 110 unit square
How to determine the area of the shapeFrom the complete question, the composite shape has:
A rectangle of 10 units by 9 unitsA triangle of base 10 units and a height of 4 unitsThe area of the rectangle is:
Area = 10 * 9 = 90 unit square
The area of the triangle is:
Area = 0.5 *10 * 4 = 20 unit square
So, the area of the figure is:
Total = 90 + 20
Total = 110 unit square
Hence, the area of the shape is 110 unit square
Read more about areas at:-
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Hey guys can anyone help me find the missing side length pls and ty
[tex]\bold{\huge{\green{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
We have given a right angled triangle whose values are m, n and 2[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the value of m and n[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
In the given right angled triangle, we have
Perpendicular height = n units Base = 2 unitsHypotenuse = m unitsNow, By using trigonometric ratios
[tex]\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}[/tex]
[tex]\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}[/tex]
[tex]\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}[/tex]
According to the question :-
[tex]\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}[/tex]
[tex]\bold{ 1/√2= }{\bold{\frac{2}{m}}}[/tex]
[tex]\bold{\red{ m = 2√2 \: units }}[/tex]
We know that , Sum of Angles of triangle is 180° .Therefore,
Let the unknown angle be x
[tex]\sf{ 45° + x + 90° = 180° }[/tex]
[tex]\sf{ x = 180° - 135 ° }[/tex]
[tex]\sf{ x = 45° }[/tex]
Now,
[tex]\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}[/tex]
[tex]\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}[/tex]
[tex]\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}[/tex]
[tex]\bold { n = 2√2/√2 }[/tex]
[tex]\bold{\red{ n = 2\: units }}[/tex]
Thus, The value of m = 2√2 and n = 2
[tex]\sf{\blue{ Hence, \: option \: D \: is \: Correct }}[/tex]
According to the graph of H(w) below, what happens when w gets very large?
H(W)
(5.0, 20.00)
O A. H(w) equals zero.
O B. H(w) gets very small.
O C. Hw) moves left.
O D. H(w) approaches a vertical asymptote.
Answer:
B. H(w) gets very small.
Step-by-step explanation:
This should be the answer you're looking for
From the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
As we know, It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph shown in the picture.
From the graph:
H(w) represents the vertical axis or y-axis and w represents the horizontal axis or x-axis.
H(w) is decreasing as the w increasing
Thus, from the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
Learn more about the exponential function here:
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