Answer:
x=-5
Step-by-step explanation:
-2x-41=5x-6
-35=7x
-5=x
Hello there!
-2x - 41 = 5x - 6
Move the 41 over by adding 41 to both sides.
-2x = 5x + 35
Move the 5x by subtracting it from both sides.
-7x = 35
Divide by -7 to get x.
-7/-7 = 35/-7
x = -5
Therefore, x would equal -5.
Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). Chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as sugar. Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put $1000 more in a 2-year deposit than in a 1-year deposit and invest the rest in a 3-year deposit. How much money should he invest in each deposit?
Answer:
The amount of money he should invest in a 1-year deposit is $3,333.333
The amount of money he should invest in a 2-year deposit is $4,333.333
The amount of money he should invest in a 3-year deposit is $8666.67
Step-by-step explanation:
The given parameters are;
Total investment = $12,000
Total interest = $600
Interest rate = r
Amount invested in a 2-year deposit, B = $1,000 + Amount invested in a 1-year deposit, A
Amount invested in a 3-year deposit, C = $12,000 - (A + B)
C = 12000 - 2·B + 1000 = 13000 - 2·B
∴ A + B + C = $12,000
A×r + 2×r×B + 3×r×C = $600
∴ r×(A + 2·B + 3·C) = $600
r×(12000 + B + 2·C) = $600
B = A + 1000
∴ r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(38000 - 3·B) = $600
∴B + 2·C = -3·B
4·B = 2·C
C = 2·B
Hence;
B - 1000 + B + 2·B = $12,000
3·B = 13,000
∴ B = 13000/3 = [tex]\$4,333\tfrac{1}{3}[/tex] = $4,333.333
B = A + 1000
∴ A = B - 1000 = [tex]\$3,333\tfrac{1}{3}[/tex] = $3,333.33
C = 2×B = [tex]\$8,666\tfrac{2}{3}[/tex] = $8666.67
Therefore;
The amount of money he should invest in a 1-year deposit = $3,333.333
The amount of money he should invest in a 2-year deposit = $4,333.333
The amount of money he should invest in a 3-year deposit = $8666.67.
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP to the nearest tenth of a foot.
Step-by-step explanation:
there's the answer I hope you can read
Answer:
82.4
Step-by-step explanation:
The area of the base of a rectangular prism is 30 square centimeters the height of the prism is 6 centimeters what is the volume of the rectangular prism on cubic centimeters
Answer:
Yo Send me a pic so i can solve
Step-by-step explanation:
Answer:
18,6,108 on edg 2021
Step-by-step explanation:
During a week in January in Cleveland, Ohio, the daily high temperatures were -4 °F, -2 °F, -12 °F, 5 °F, 12 °F, 16 °F, and 20 °F. Which expression can be used to find the difference between the highest temperature of the week and the lowest temperature of the week?
Answer:
[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]
[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]
[tex]\Delta T = 32\,^{\circ}F[/tex]
Step-by-step explanation:
The expression needed is the highest temperature of the week subtracted by the lowest temperature of the week. That is to say:
[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]
[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]
[tex]\Delta T = 32\,^{\circ}F[/tex]
The first official count of Sudan's referendum has been announced
with the country's diaspora in Europe overwhelming voting for
secession
In this sentence, diaspora means.
the
space sought for occupation by a nation
the financial sector, including banking and investing
the territory within which power can be exercised
the dispersion of something that was originally
localized
Answer:
the dispersion of something that was originally localized
Step-by-step explanation:
that's the definition of the word diaspora.
please answer quickly
Answer:
1,253 cubic inches
Step-by-step explanation:
This container is made up of two rectangular prisms. The larger prism has volume 11*7*14=1078 cubic inches. The other one has volume 7*5*5=175 cubic inches. Adding these together, you get a total of 1,253 cubic inches. Hope this helps!
Answer:
1253 in^3
Step-by-step explanation:
The volume of the bottom container is
V = l*w*h
V = 11*14*7
V =1078
The volume of the top container is
V = l*w*h
V = 7*5*5
V =175
Add the two volumes together
V =1078+175 =1253 in^3
780 miles on a full tank of 16 gallons find the rate of miles
Answer: 48.75
Step-by-step explanation:
Divide.
780/16=48.75
Concrete is made by mixing cement sand and gravel in the ratio 5:9:13 how much cement is needed to make 324 ft of concrete
Answer:
156 ft
Step-by-step explanation:
5x+9x+13x=324
27x=324
x=12
13(12)=156
Una mujer de 5 pies de altura esta de pie cerca de un farol que tiene 12 pies de altura, . Encuentre una función que modele la longitud de su sombra en términos de distancia desde la base del farol. un triangulo isósceles tiene un perímetro de 8cm. Encuentre una función que moldee su área a en términos de la longitud de su base
...,..................................................
If a+b=9 and ab=18,find the value of a and b.
Answer:
Given:
a + b = 9
=> a = 9 - b
Given:
a x b = 18
=> (9 - b) x b = 18
=> 9b - b^2 = 18
=> b^2 - 9b + 18 = 0
=> (b - 3)(b - 6) = 0
=> b = 3 => a = 6
=> b = 6 => a = 3
Hope this helps
:)
Find the gradient of the line segment between the points (0,6) and (2,16).
Answer:
5
Step-by-step explanation:
The gradient is the ratio of the change in y to the change in x:
m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5
The gradient of the line segment is 5.
Please help. Worth more than 5 points.
Answer:
(5,-1) and choice A
Step-by-step explanation:
The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be [tex]\sqrt{(3^2+2^2)+(3^2+2^2)}=\sqrt{26}[/tex]. The side lengths have length 5 and 1, since [tex]5^2+1^2=26[/tex]. Therefore, the coordinates of the new vector are (5,-1). Hope this helps!
What is the slope of the line?
Answer:the slope is 2
Step-by-step explanation:
rise over run 2/1
Answer:
2
Step-by-step explanation:
The line rises by 2 and runs by 1.
A middle school took all of its 6th grade students on a field trip to see a ballet at a theatre that has 2000 seats. The students filled 90% of the seats in the theatre. How many 6th graders went on the trip?
Answer:
1800
Step-by-step explanation:
2000 seats and 90 filled . 2000 x 90% =1800
Express as a unit ratio.
$360 for 5 days of work
Answer:
She would earn $72 each day
Step-by-step explanation:
you divide $360 and 5
The digit in the hundreds place is neither prime nor composite. The digit in the ones place is twice the digit in the hundreds place. The digit in the lakhs place is the only even prime number. The digit in the ten thousands place is greater than tens place and both are odd numbers. Sum of the ten thousands and tens place should be in the thousands place
Step-by-step explanation:
The only digit that is neither composite nor prime is 1, so the hundreds place is 1. Therefore, the digit in the ones place is twice 1, or 2. The only even prime number is 2, so the digit in the lakhs place is 2. We have 2 options for the tens thousands and tens places, 3 and 1 or 5 and 3 respectively. 7 and 5 does not work because 7 + 5 = 12, and 12 is not a digit. From this, the thousands place could be 4 or 8. Therefore, the number could be 234112 or 258132. Hope this helps!
Answer:234112 or 258132.
Step-by-step explanation:
A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base? 32 pi square meters 18 pi square meters 279 pi square meters 2,592 pi square meters
32 pi square meters (sorry if it is wrong)
The area base of the cylinder is 32π square meters which is correct option(A).
What is the volume of cylinder?The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = A × h, where
A = area of the base
h = height
The base of a circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h
where , 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
π is a constant whose value is either 22/7 (or) 3.142.
Given data,
The volume of cylinder = 288π cubic meters
V = πr²h
Substitute the value of V in the formula
288π = π(r²)(9)
Divided by π both the sides,
288 = 9 r²
288/9 = r²
32 = r²
r² = 32
r ≈ 5.65 meters
The area base (circle) of the cylinder = πr²
Substitute the value of r in the formula,
The area base of the cylinder = π(5.65)²
The area base of the cylinder = π(32)
The area base of the cylinder = 32π
Hence, the area base of the cylinder is 32π square meters.
Learn more about volume of cylinder here :
https://brainly.com/question/16134180
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12 goes into 53 how many times??
Answer:
12 goes into 53 4 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
Solve 3y^{2} - (y + 2) (y - 2)
Answer:
3y^2 - (y + 2) (y - 2) = 0
<=> 3y^2 - (y^2 - 4) = 0
<=> 2y^2 + 4 =0
<=>y^2 + 2 = 0
=> Because y^2 is always equal or larger than 0, there is no real solution.
Hope this helps!
:)
Answer:
[tex]2 {y}^{2} + 4[/tex]
Step-by-step explanation:
[tex]3 {y}^{2} - (y + 2)(y - 2) \\ 3 {y}^{2} - ( {y}^{2} - 4) \\ 3 {y}^{2} - {y}^{2} + 4 \\ = 2 {y}^{2} + 4 \\ = 2( {y}^{2} + 2)[/tex]
Solve similar triangles can someone please answer help
Answer:
k=3.5
Step-by-step explanation:
1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.
2. For finding an unknown side for similar triangles, you use the equation [tex]\frac{x}{y} =\frac{a}{b\\}[/tex] where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).
2. Plugging all the sides into the equation, it should turn into [tex]\frac{x}{10.5} =\frac{5.5}{16.5}[/tex].
3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.
4. Then by dividing 16.5 on both sides, you should get 3.5
pls find the area of this shape thx
Answer:
20
Step-by-step explanation:
Area = ((7+3) x 4) ÷ 2 = 20
HELP!!! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3. Write the equation for the circle.
Answer:
(X+2)power of 2 + (y + 3)power of 2 = 9
Step-by-step explanation:
Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]
Please help me. I'm going to fail if someone doesn't and quick please.
Answer:
D
Step-by-step explanation:
To find volume, you have to multiply all the given sides. Therefore, 14 x 5 x 6 = 2,100. (5 x 6=30 x 14=2100)
What is 2+2 jfkkrhjkorowjeurkfbrbrjjrjrfj
Answer:
= 4
Step-by-step explanation:
2 + 2 = 4
●● + ●● = ●●●●
Answer:
2+2=4
Step-by-step explanation:
for example you have two pieces of bread and your friend gives you another two pieces if you add them all together you get 4! lol
Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by the system) *
Answer:
65
Step-by-step explanation:
90 degrees - 25 degrees = 65 degrees
A lock has 3 digits and can have any number from 0-9 how many combinations are there
Ten choices for the first digit, 10 for the second, 10 for the third,
10 × 10 × 10 = 1000 combinations
Answer: 1000
Triangle XYZ is rotated 90° clockwise about the origin.
On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).
What are the coordinates of point X’?
Answer:
(1,3)
Step-by-step explanation:
Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.
Answer:
(1,3)
Step-by-step explanation:
e d g e n u i t y :))
Which of the following statements is correct?
a. A cone is a 3D shape with a circular base and smooth curved sides ending in a point at
the top
b. A pyramid is a 2D shape which has a polygon as a base.
Simplify the expression. (n^7)^2
Answer:
n^14
Step-by-step explanation:
Simplify. Note that when you have a power on top of a power, you multiply the two powers.
(n^7)^2 = n^(7 * 2) = n^14
n^14 is your answer.
~
Use power rule: (a^b)^c = a^b*c
Solve.
= (n^7)^2
= n^7*2
= n^14
Best of Luck!
Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre's height in centimeters. If you get stuck, consider drawing a number line to help you.
Answer:
Andre's height: y < x < 164
Step-by-step explanation:
We will first of all convert each of the statements to mathematical inequalities, before we combine them.
Let Andre's height be = x
Lin's height be = y
The maths teacher's height = 164
Andre is a little taller than Lin:
x > y
Andre is shorter than their maths teacher, who is 164 centimetres
x<164
Combining the two inequalities, we have Andre's height as
y < x < 164
This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.