Answer:
x=2
Step-by-step explanation:
4x=4+2x
subtract 2x so
4x-2x=4+2x-2x
so 2x=4
divide by 2 so
x=2
A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a radius of 3 inches and a height of 5 inches, how much yogurt will fill the cone to its full capacity
Answer:
Answer: it will cost $3.768 to fill the cone to its full capacity.
Step-by-step explanation:
The frozen yoghurt is filled in cone shaped cups. The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height if the cone.
r represents the radius of base of the cone.
π is a constant whose value is 3.14
From the information given,
r = 3 inches
h = 5 inches
Volume = 1/3 × 3.14 × 3² × 5 = 47.1inches³
If customers pay $0.08 per cubic inch, it means that the amount that it would cost to fill the cone to its full capacity is
0.08 × 47.1 = $3.768
please give brainliest
Answer:
it will cost $3.768 to fill the cone to its full capacity.
Step-by-step explanation:
have a nice day.
In a 30-60-90 triangle, the long leg is 60, what is the short leg
Answer:
The shorter leg, which is opposite to the 30- degree angle, is labeled as x. The hypotenuse, which is opposite to the 90-degree angle, is twice the shorter leg length (2x). The longer leg, which is opposite to the 60-degree angle, is equal to the shorter leg's product and the square root of three (x√3).
Step-by-step explanation:
What is 40% of $67.20
Answer:
I believe it's 26.88$ :) Please correct me if I'm wrong
Step-by-step explanation:
67.20$ multiplied by 0.4
Answer:
26.88 is the answer
Step-by-step explanation:
67.20/100=0.672=1%
40*0.672=26.88
When solving for a, the first step is to divide by 2.
32= 2a -8
Question 9 options:
True
False
Train travels at 3 hours if it's speed is 65 miles per hour. It takes the train 2.5 hours if it's speed is 78 per hour . Identify the variation type
Answer: wow Ashley smh it’s Lorelei btw
Step-by-step explanation:
A rectangle doormat is 21 inches long and has an area of 714 squar inches. Find its width. Will the doormat fit in an
Answer:
34in
Step-by-step explanation:
Given data
Length= 21in
Area= 714 in^2
The shape of the doormat is rectangular
Area= Length*Width
substitute
714=21* W
W= 714/21
W= 34in
Hence the widht is 34in
Plss help, will give brainliest! dont just steal points or i will steal yours!
Answer:
Step-by-step explanation:
1. -2x=26 is x=-13. The graph for this would be a vertical line at the point (-13,0)
2. 3y + 12 = 2x is y=2/3x-4
3. 2x=4y is y=1/2x
4. 1/2y=2x+1 is y=4x+2
5. -2x=-11-y is 2x-11=y or y=2x-11
*I'm so sorry I wasn't able to give you the graphs (I tried uploading them on here from Desmos, and they wouldn't load for some reason). For graphing, you can create random ordered pairs, and can solve for y.
Solve by elimination using subtraction.
2x + y = -5
2x - 5y = 13
Answer:
(- 1, - 3 )
Step-by-step explanation:
Given the 2 equations
2x + y = - 5 → (1)
2x - 5y = 13 → (2)
Subtracting (1) from (2) term by term will eliminate the x-0 term
0 - 5y - y = 13 - (- 5) , that is
- 6y = 18 ( divide both sides by - 6 )
y = - 3
Substitute y = - 3 into either of the 2 equations and solve for x
Substituting into (1)
2x - 3 = - 5 ( add 3 to both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
solution is (- 1, - 3 )
A baker is weighing her ingredients to make cheese bread. She has 710 grams of flour, 225 grams of sugar, and 400 grams of cheese. What is the total weight in kilograms?
133.5 kilograms
13.35 kilograms
1,335 kilograms
1.335 kilograms
Answer:
1.335 kg
Step-by-step explanation:
710 + 225 + 400 = 1335 grams
1 kilogram = 1000 grams So:
1335/1000 = 1.335 kilograms
Answer:
1.335 kilograms
Step-by-step explanation:
I got it right on my quiz
if 5 more than n is 12, what is n?
Answer:
n = 7
Step-by-step explanation:
subtract 5 from 12
Answer: n=7
Step-by-step explanation:
“5 more than n” simply means n+5
n+5=12, subtract 5 from both sides. n= 7
Cheyenne works 15 hours a week at the movie theater. She earns $8 an hour. Which statement about her weekly income is true? F. Her net income is more than $120. G. Her gross income is less than $120. H. Her net income is less than $120. J. Her gross income is more than $120.
Answer:
Her net income is more than $120.
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHEL= APME?
Check all that apply.
M
H
E
A. LL
B. ASA
C. HA
1 D. AAS
E. HL
- F. SAS
The Triangle EHL and MPE by HL Congruence Rule.
What is Congruence Rule?Two triangles are said to be congruent if their sides and angles are the same length. Two triangles can thus be stacked side by side and angle by angle.
Two triangles are said to be congruent if their sides are the same length, their angles are the same measurement, and they may be superimposed on each other.
As, from the figure in Triangle EHL and MPE
EH = MP
EL = ME
<EHL = < MPE = 90
As, If the hypotenuse and a leg of one right triangle are congruent with the hypotenuse and leg of another right triangle, the triangles are congruent.
So, the Triangle EHL and MPE is Congruent by HL Congruence Rule.
Learn more about Congruence Rule here:
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What is the smallest 3-digit number of the form aaa such that it is divisible by 9? (Here, a represents a digit.)
Answer:
If all three digits need to be the same (I assume that's what aaa means) it's 333
Step-by-step explanation:
For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:
X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)
So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.
Amelia, recuerda que se ha propuesto no consumir más de 260Cal (Calorías) en su desayuno.
Si Amelia se sirve una taza de agua tibia echándole 3 cucharaditas de Nesquik y una cucharadita de azúcar (17 Cal). También va a comer un pan integral (180 Cal).
¿Cumplirá Amelia con lo que se ha propuesto? Explica.
Answer:
¿Cumplirá Amelia con lo que se ha propuesto?
Amelia no cumple con lo que se ha propuesto, porque:
56,4 ÷ 2 = 28,2 ← 1 cucharadita
28,2 + 28.2 = 56,4 + 28,2 = 84.6 Cal ← 3 cucharaditas
84.6 Cal + 17 Cal azúcar = 101,6 Cal
101,6 Cal + 180 Cal pan = 281,6 Cal
Lo que se ha propuesto Amelia = 260 Cal
Lo que está consumiendo = 281 Cal
- Además, si Amelia solo quiere echarse ¾ de una porción de Nesquik, entonces, ¿Cuántas cucharaditas echará a su taza?
¾ × 2 = 1,5 ← cucharaditas
Se echara 1,5 cucharaditas :D
Step-by-step explanation:
3. Constance is planning to pay for part of her college using a $12,000 student loan. She is comparing the total costs of two loan options. Option A is to borrow the $12,000 for 5 years at 4.75% annual compound interest. Option B is to borrow the $12,000 for 4 years at 5% annual compound interest. Which of the following is closest to the difference in total cost of Option A compared to Option B?
A $450.00
B $529.87
C $547.84
D $867 72
Answer: 450. 00
Step-by-step explanation:
take the percent of each and multiply it by the years. do it for both. and add the 12000. then subtract both from each other and you get 450.
A rectangle's perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is
the length of the rectangle in units?
Answer:
l = 6.00
Step-by-step explanation:
So A = l x w and P = 2l + 2w, they say they are equal to l (w) = 2l + 2w and we know that w = 3 so
3l = 2l + 2(3), so l = 6.
Which expression is equivalent to –(3 + 4x)?A.
–3 – 4x
B.
–3 + 4x
C.
3 +4x
D.
3 - 4x
Answer:
-3-4x
Step-by-step explanation:
Answer:
A) -3 - 4x.
Step-by-step explanation:
-1(3 + 4x)
-1(3) + -1(4x)
-3 - 4x
---
Hope this helps!
ASAP!!! are 7n - 2 and 2 - 7n equal? PLEASE EXPLAIN
Answer: No.
Step-by-step explanation:
They aren't equal because using the order of operations, the two in 7n-2 is subtracted from 7n. In 2-7n, they are subtracting 7n from 2, which would give a totally different answer.
Answer:
no they are not the same or equal. this is because the first part of the expression 2 is the number that is negative while 7n is positive. in the second half of the expression 2 is positive and 7n is negative.
Step-by-step explanation:
i hope this helps :)
help pls this is due today
Answer:
2 x 1/3
Step-by-step explanation:
There are two bars of 1/3 so that's why it's 2 x 1/3
Answer:
C
Step-by-step explanation:
The model has two sets of bars filled in 1/3 of the way. so it is 2 × 1/3
what is this pls help
Answer:
5z
Step-by-step explanation:
3z+5z-3z(3z gets cancelled)
5z
Answer:
5z!
brainliest pls :D
If the simple interest on $1,000 for 5 years is $300, then what is the interest rate?
Answer:
6%/year
Step-by-step explanation:
Solving our equation
r = 300 / ( 1000 × 5 ) = 0.06
r = 0.06
converting r decimal to a percentage
R = 0.06 * 100 = 6%/year
The interest rate required to
accumulate simple interest of $ 300.00
from a principal of $ 1,000.00
over 5 years is 6% per year.
18. What is the equivalent fraction of 8/80?
Answer:
1/10
Step-by-step explanation:
8/80
divide numerator and denominator by 8
8÷8=1
80÷8=10
Drag each inequality to the correct location on the table based on whether its
graph will have a dashed or a solid boundary line.
Answer:
y>2x+8: Dashed x+1/2y is less than or equal to 12: Solid y is greater than or equal to 2/3x-6: Solid -4x+2y<10: Dashed
Step-by-step explanation:
If there is a < or > sign, it is dashed, because the answer you get is not part of the solution (it is either less than or greater than the solution). If it is a less than or greater than or equal to sign (with the line under it) the line will be solid because the answer you get is part of the solution.
The boundary line will not be included in the solution set. Therefore, the boundary line will be dashed. The table shows the following:
Dashed if the boundary line is not included in the solution set.
Solid if the boundary line is included in the solution set.
The inequalities that will have a dashed boundary line are:
y > 2x + 5
x + y ≤ 12
The inequalities that will have a solid boundary line are:
y ≤ 2x - 6
-4x + 2y - 10 ≤ 0
Here is an explanation of why each inequality will have the boundary line that it does:
y > 2x + 5
This inequality is not equal to 2x + 5, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.
x + y ≤ 12
This inequality is equal to x + y ≤ 12, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.
y ≤ 2x - 6
This inequality is equal to y ≤ 2x - 6, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.
-4x + 2y - 10 ≤ 0
This inequality is not equal to -4x + 2y - 10, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.
To know more about boundary:
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Please help me, I am completely lost...
y=-x^2+9
What is the vertex
And how do I graph it
Answer:
You must know the shape of the graph y = x². Its chart is in the form of an upward parabola. The shape of the graph y = -x² is the same except that it is downward. Finally, to draw the shape of the graph y = -x² + 9, we need to move the previously mentioned graph 9 units upwards.
The formula for the vertex length of a parabolic chart is as follows: x= -b/(2a) b=0 , a= 1 → x= 0, y=-(0)²+9=9
vertex: (0,9)
25
14
Which situation is represented by the equation?
2x +6= 12
solve this
ion?
A) 6 more than the product of 2 times x is 12
B) 6 less than the product of 2 times x is 12
C) the product of 6 and a number is 2 more than 12
D) the difference of a number and 6 is 12 times x
Answer:
A
Step-by-step explanation:
Please help me - I will give brainlist
Answer:
File won't load...?
Step-by-step explanation:
According to the article, "How Can Your Smartphone Make Water Safe to Drink," less than 1% of phone's battery disinfects how much water? *
Answer:
700 A
Step-by-step explanation:
if see ujbvcddfgyggcs456ujhvcddrtuijjjnbbbgc
Can someone plz help me with this one problem plzzz!!!
so, you just use the x's from the table and plug them into the equation to find the y.
y=(1)+9
y=10
y=(2)+9
y=11
y=(3)+9
y=12
y=(4)+9
y=13
i hope this helps :)
6.
Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function.
A. b = 195 – 15x
B. b = 210 – 15x
C. b = 195 + 15x
D. b = 210 + 15x
Answer:
B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.
Step-by-step explanation:
Answer:
The linear function model the situation is b = 210 - 15x .
Option (B) is correct .
Step-by-step explanation:
Let us assume that the number of times giselle uses the club be x .
As given
giselle pays $210 in advance on her account at the athletic club.
Each time she uses the club,$15 is deducted from the account.
Let suppose that the money left after giselle uses the club x times is b .
Than the equation becomes
Money left = Amount pay in advance - Deducted amount × Number of times giselle uses the club .
Put all the values in the above
b = 210 - 15 × x
b = 210 - 15x
Therefore the linear function model the situation is b = 210 - 15x .
Option (B) is correct .