Answer:
$10.50
Step-by-step explanation:
2/3 of $21 = $14
1/4 of $14 = $3.50
$14 - $3.5 = $10.50
An ice cream shop has a make-your-own sundae bar. If there are 20 different flavors of ice cream to choose from, 5 different toppings to choose from, and 3 different sizes, how many different sundaes are possible
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
To find the total number of different sundaes possible, we need to multiply the number of choices for each category: ice cream flavors, toppings, and sizes.
Number of ice cream flavors = 20
Number of toppings = 5
Number of sizes = 3
Total number of sundaes = Number of ice cream flavors × Number of toppings × Number of sizes
Total number of sundaes = 20 × 5 × 3
Total number of sundaes = 300
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
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complete the solution of the equation. find the value of y when x equals -2. -9x-3y=6
Answer:
y= 4
Step-by-step explanation:
-9x-3y=6
Let x = -2
Substitute for x in the equation
-9(-2) -3y = 6
18 -3y = 6
Subtract 18 from each side
18-3y-18 = 6-18
-3y = -12
Divide by -3
-3y/-3 = -12/-3
y = 4
covert the following 4kg to g
Math Due soon pls help :)
HELP A BRUVUH OUT
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Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Answer: Choice C
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Jar a contains the 8 letters in the word colorado. jar b contains the 11 letters in the word connecticut. what is the probability of randomly drawing an o from jar a, then an o from jar b?
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
Evaluate the following expression with x=-6, -3(x-4)+x+1
Step-by-step explanation:
−3(x−4)+x+1
Evaluate this with x=−6
−3(−6−4)+−6+1
=25
Hey there!
Answer :[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]
Explanation:-3(x - 4) + x + 1
>> Substitute -6 for x :
⇒ -3(-6 - 4) + (-6) + 1
⇒ -3(-10) - 6 + 1
⇒ 30 - 6 + 1
⇒ 24 + 1
⇒ 25
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please help me outttt
Answer:
(-1, 4) and (2, 7)
Step-by-step explanation:
Graphs f(x) & g (x) are intersecting each other.-> f(x) = g(x)[tex]\implies x^2+3 =x + 5[/tex][tex]\implies x^2+3 -x -5=0[/tex][tex]\implies x^2 -x -2=0[/tex][tex]\implies x^2 -2x +x-2=0[/tex][tex]\implies x(x -2) +1(x-2)=0[/tex][tex]\implies (x -2)(x+1)=0[/tex][tex]\implies (x -2)=0,\:\: (x+1)=0[/tex][tex]\implies x=2\:\: x=-1[/tex][tex]\implies x=-1,\:\:2[/tex]When x = -1[tex]f(x) = (-1)^2+3 = 1 +3 = 4 [/tex]-> (x, f(x)) = (-1, 4) & When x = 2[tex]f(x) = (2)^2+3 = 4 +3 = 7 [/tex]-> (x, f(x)) = (2, 7) Thus, the points of intersection of the functions f(x) and g(x) are (-1, 4) and (2, 7)Solve the question within the screenshot please
Answer:
See below in bold.
Step-by-step explanation:
Let t be the number of tulips you buy and r be the number of rose bushes.
a.
The system is:
t + r = 13
4t + 10r = 100
b.
Solving:
4t + 10r = 100
t + r = 13 Multiply this by 4:
4t + 4r = 52 Subtract this from the first equation:
0 + 6r = 48
r = 8.
Now substitute for r in t + r = 13:
t + 8 = 13
t = 5.
c.
To buy 13 plants and spend $100 you need to buy 5 tulips and 6 rose bushes.
please help with this!
Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 = 1/8 + 2/8 = 3/8
Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8
What is the volume?
Answer:
volume = l×b×h = 1.6 × 1.6 × 1.6 = 4.096cm³
Evaluate the following expression. You should do this problem without a calculator. log 5 125
Answer:
3
Step-by-step explanation:
log(5) 125 =x
5^x = 125
5^x = 5^3
x=3
please help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
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Answer:
the answer is 34
Step-by-step explanation:
see the image
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
268.08 cm
Step-by-step explanation:
we all know that the FORMULA for a sphere is v=4/3 x π x r^3, so we just SUBSTITUTE.
V=4/3 x π x 4^3
which leaves us with 268.08 cm ^2 maybe??
(hope this helps)
Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC
Answer:
BC = 6 units
Step-by-step explanation:
given that B is between A and C , then
AB + BC = AC ( substitute values )
3x + 4x - 2 = 12
7x - 2 = 12 ( add 2 to both sides )
7x = 14 ( divide both sides by 7 )
x = 2
Then
BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6
Answer:
6
Step-by-step explanation:
from the question, since point B is between Ac
AC = AB + BC
12 = 3X+4X -2
3X+4X-2 = 12
7X = 12+2
7X = 14
dividing bothsides by 7
7X/7 = 14/7
X = 2
the length BC = 4X-2 = 4(2)-2 = 8-2= 6
length of BC = 6
how to find slope within two sets of points
The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
What is slope?The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
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AB has endpoints A(4,-3) and B(3,7). Line d is the perpendicular bisector of AB. Which of the following is NOT an equation of line d?
Answer:
B
Step-by-step explanation:
We know that AB has endpoints at A(4, -3) and B(3, 7).
To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.
So, let's find the slope of AB using the slope formula:
Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:
So, the slope of AB is -10.
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.
So, Line D has a slope of 1/10.
Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.
To find the midpoint, we can use the midpoint formula:
We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:
Evaluate. So, the midpoint is:
Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:
Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:
This is the same as choice C. So, choice C is indeed an equation of Line D.
We can distribute the right to obtain:
Add 2 to both sides to acquire:
This is the same as choice D. So, choice D is indeed an equation of Line D.
Moreover, we can put this into standard form by multiply everything by 10, which gives:
Subtracting x from both sides yields:
This is the same as A. So, choice A is also an equation of Line D.
There is no way to acquire choice B. So, B is not an equation of Line D.
Therefore, our answer is B.
And we're done!
please help TT i cant fail this quarter
The value of x in the diagram is : 75°
what is an isosceles triangle?An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.
Analysis:
Since GF = EF
∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)
∠FGE + ∠FEG + ∠GFE = 180°( sum of angles in a triangle)
(x - 18)° + (x-18)° + 66 = 180
2x -36 + 66 = 180°
2x + 30 = 150
2x = 180 - 30
2x = 150°
x = 150/2 = 75°
In conclusion, the value of x in the diagram is 75°
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Guys what is the volume formula called for this please ?
Answer:
Total Area = 24830.437[tex]m^{3}[/tex]
Step-by-step explanation:
This will be using different AREA formula to find the inner area amount
The image is color coded to each shape area
Let me know if you have any questions !
Hope this helps :)
3x^2 + 14x +8 find magic x
x = -2/3 or -4
see the attachment for solution
hope it helps...!!!
Help with this question please my last question
Answer:
∠A≅∠Z AB≅ZX
∠B≅∠X AC≅ZY
∠C≅∠Y BC≅XY
ΔCBA≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Let me know if you ever need help !
find the arc length of a central angel of 36 degrees in a circle whose radius is 2 inches
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =36 \end{cases}\implies s=\cfrac{(36)\pi (2)}{180}\implies s=\cfrac{2\pi }{5}\implies s\approx 1.26~in[/tex]
Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w C D 45 Notes Comm
Answer: 60
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
*These Should be the correct answers*
1.C
2.D
Step-by-step explanation:
Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?
A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2
Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.
A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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Trigonometric ratio
adjacent= 12 cm
angle= 22°
find the opposite side by using tan.
The opposite side of the right angle triangle by using Tan.
Solution:[tex]tan \: 22 = \frac{x}{12} [/tex]
[tex]x = 12 \times tan \: 22[/tex]
[tex]x = 4.8 \: cm[/tex]
Therefore, the opposite side of the right angle triangle is 4.8 centimeters
x/12
x= 12*tan 22
x= 4.8 cm
hope this helps
You plan on making a $235.15 monthly deposit into an account that pays 3.2% interest, compounded monthly, for 20 years. at the end of this period, you plan on withdrawing regular monthly payments. determine the amount that you can withdraw each month for 10 years, if you plan on not having anything in the account at the end of the 10 year period and no future deposits are made to the account. a. $769.27 b. $767.23 c. $78,910.41 d. $79,120.84
Based on the calculation below, the amount that can be withdrawn each month for 10 years is a. $769.27.
Calculation of monthly withdrawFirst, we calculate the future value (FV) of the amount after 20 years using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = A * (((1 + r)^n – 1) / r) ................................. (1)
Where,
FV = Future value of the amount after 20 years =?
A = Monthly deposit = $235.15
r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667
n = number of months = 20 * 12 = 240
Substituting the values into equation (1), we have:
FV = $235.15 * (((1 + 0.00266666666666667)^240 – 1) / 0.00266666666666667) = $78,910.41
The amount planned to be withdrawn on monthly basis can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:
P = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)
Where;
P = Monthly withdrawal or payment = ?
PV = Present value = FV calculated above = $78,910.41
r = Monthly interest rate = 3.2% / 12 = 0.00266666666666667
n = number of months = 10 * 12 = 120
Substitute the values into equation (2), we have:
P = $78,910.41PV / ((1 - (1 / (1 + 0.00266666666666667))^120) / 0.00266666666666667) = $769.27
Therefore, the amount that can be withdrawn each month for 10 years is $769.27.
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The answer is A: $769.27
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Have a great day and God bless! :D
if u want to u can answer question 16 and 17 but if u don’t just answer 16
Answer:
the answer to 16 is C i know cause i had the same thing and the answer for 17 is A.
Step-by-step explanation:
Hope thi helps
I just need what’s missing
Answer:
$0.88/lb
Step-by-step explanation:
The end result of this units conversion is found by multiplying the fractions in the usual way. The numerator is the product of the numerators; the denominator is the product of the denominators. Of course, the division must be carried to completion to arrive at the unit price.
__
[tex]=\dfrac{26.29\times0.074\times1}{1\times1\times2.2}\ \dfrac{\text{dollars}}{\text{lb}}=\dfrac{1.94546}{2.2}\ \dfrac{\text{dollars}}{\text{lb}}\approx\boxed{0.88\ \dfrac{\text{dollars}}{\text{lb}}}[/tex]
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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