Answer:
x=2
Step-by-step explanation:
3x - 9x + 7 - 3 = -8
Combine like terms
-6x +4 = -8
Subtract 4 from each side
-6x +4-4 = -8-4
-6x = -12
Divide each side by -6
-6x/-6 = -12/-6
x = 2
Answer:
x=2
Step-by-step explanation:
add like terms (3x-9x= -6x, 7-3= 4)
then move the constant to the right (-8+4=-12)
finally divide it by 6 which gives you "x"
Mr. Bart needs to spend less than $40 on cups and plates for a cookout. He bought the plates he needed for $24. The packages of cups cost $4 each. How many packages of cups, x, can he buy?
Answer: 4 cups
Step-by-step explanation: 40 - 26 = 16
16/4 = 4
Mr Bart can buy 4 packages of cups. $4 times 4 packages is $16 and 16 + $24 = $40. Hope this helps
Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} Numerical Answers Expected! Answer for Blank 1:
Answer:
The answer is 4
Step-by-step explanation:
Substitute 4 for x and you get 4(4)+2=18.
3. © MP.6 Be Precise Aiden has three
$20 bills and two $10 bills. He wants
to save a total of $95. How much more
money does he need? What bills could
they be?
Answer:
he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.
Step-by-step explanation:
20+20+20+10+10= 80
95-80= 15
10+5= 15
1 x 15= 15
5 x 3 = 15
therefore, he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.
hope this helps
~ angilena
How do you write twenty minus the product of 4 and a number is 4
Answer:
Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides.
Step-by-step explanation:
mark brainliest
Find the distance from N to T.
a.) 29
b.) square root of 14
c.) 7
d.) square root of 29
Answer:
The distance from N to T is : [tex]\sqrt{29}[/tex] or (square root of 29)
Step-by-step explanation:
From the given the diagram
N(-2, -1)T(3, 1)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]
[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]
[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]
[tex]=\sqrt{5^2+2^2}[/tex]
[tex]=\sqrt{25+4}[/tex]
[tex]=\sqrt{29}[/tex]
Therefore, the distance from N to T is : [tex]\sqrt{29}[/tex] or (square root of 29)
Answer:
it is the square root of 29
Step-by-step explanation:
Un estudiante planifica gastar 2/5 de sus ganancias en su educación. Si se gana 25000 este año, cuanto planifica gastar en su educación?
For this case we have:
A student plans to spend 2/5 of his earnings on his education. If you earn 25,000 this year, how much do you plan to spend on your education?
x: Let the variable that represents the student's earnings
y: Let the variable that represents the planned expenditure for education
If you plan to spend[tex]\frac {2} {5}[/tex] of your earnings on education we have:
[tex]y = \frac {2} {5} x[/tex]
According to the statement we have to:
[tex]x = 25,000[/tex]
So:
[tex]y = \frac {2} {5} (25000)\\y = 10,000[/tex]
Thus, the student plans to spend 10,000 on his education
Answer:
10,000
A baseball glove was purchased at a discount of 30% for $84. What was the price of the glove before the discount?
the the original price be x
[tex]x - \frac{30}{100} x = 84 \\ \frac{100x - 30x}{100} = 84 \\ 70x = 8400 \\ x = \frac{8400}{70} \\ x = 120[/tex]
so the original price was $120
Answer: original price b4 30% discount was $120
Step-by-step explanation:
If at 30% discount, baseball glove is $84
It means 70% = 84
100% = x
Cross multiply
70x = 8400
x = 120
Which answer best describes the shape of this distribution?
bell-shaped
skewed right
skewed left
uniform
Answer: B
Step-by-step explanation:
What is the area of the parallelogram?
A. 11 square centimeters
B. 22 square centimeters
C. 15 square centimeters
D. 30 square centimeters
Answer: D
Step-by-step explanation:
5x6=30
What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters. 176 cm2 192 cm2 208 cm2 224 cm2
Answer:
176
Step-by-step explanation:
option a ( 176 cm²)
A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.
To find the area, we use the formula for the area of a trapezoid:
Area = 1/2 × (Base1 + Base2) × Height
Here, Base1 is 12 cm,
Base2 is 10 cm, and
the height is 16 cm.
the sum of the bases:
12 cm + 10 cm
= 22 cm.
Multiply by the height:
22 cm × 16 cm
= 352 cm².
Divide by 2 to get the area:
352 cm² ÷ 2
= 176 cm².
So, the area of the trapezoid is 176 cm².
if the slope of line ab is m what is the product of the slopes of ab and a line parallel to ab
How to solve 47x82 on an area model
Answer:
Step-by-step explanation:
Answer:
3854
Step-by-step explanation:
There are 30 mystery books in Chin's
book collection. If 6% of his books
are mysteries, how many books does
Chin have in his collection?
| 57. Macy, Sydney, and Alle are sisters. Macy is liyo
years older than Sydney and Allie is one war
less than half the age of Sydney. If the sum of
their ages is 31, how old is Magy?
Let S be Sydney's age.
Macy = S + Liyo, Alle = (1/2)S - 1.
Given, S + (S + Liyo) + ((1/2)S - 1) = 31.
Substituting Liyo = S and solving gives Sydney = 10, Macy = 15.
So, Macy is 15 years old.
To solve this problem, let's assign variables to represent each sister's age. Let S be Sydney's age. Given that Macy is Liyo years older than Sydney, Macy's age would be S + Liyo. Since Allie is one year less than half the age of Sydney, Allie's age can be represented as (1/2)S - 1.
The sum of their ages is given as 31, so we can set up the equation: S + (S + Liyo) + ((1/2)S - 1) = 31. Substituting Liyo with S, we can solve for Sydney's age (S). Once we find Sydney's age, we can then find Macy's age by adding Liyo to Sydney's age.
By solving the equation, we find that Sydney is 10 years old. Thus, Macy is 15 years old (10 + Liyo). Therefore, Macy is 15 years old.
Complete Question:
Macy, Sydney, and Alle are sisters. Macy is liyo years older than Sydney and Allie is one war less than half the age of Sydney. If the sum of their ages is 31, how old is Magy?
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
set of this problem?
Answer:
B
Step-by-step explanation:
what do u get when u double 15
you have 6 reindeer Rudy, Jebediah, Eskiel, Lancer, Gloopin, and Balthazar, and you want to have 5 fly your sleigh. You always have your reindeer fly in a single-file line
Answer:
Take one reindeer out of the running for pulling the sleigh
Step-by-step explanation:
If f(x) = x2 − 6x + 19, complete the square and determine the minimum or maximum value of the function
Answer:
minimum value = 10
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 19
= (x - 3)² + 10 ← in vertex form
with (h, k) = (3, 10 )
To determine maximum or minimum consider the value of a
• If a > 0 then minimum value of k
• If a < 0 then maximum value of k
Here a = 1 > 0, hence minimum value of k = 10
In the diagram below DE is parallel to XY what is the value Y
Those are consecutive interior angles of a transversal across parallel lines. That mouthful means they're supplementary, adding to 180°.
Answer: B. 75
Find the area of the figure is not drawn to scale 2.7 cm and 5.2 cm
Answer:
2.7 x 5.2 = 14.04
Step-by-step explanation:
Simplify in terms of i: square root of -36
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]
The square root of a negative number can always be simplified by doing this:
1) take the negative sign out of the square root.
2) multiply by i.
How far up does the ladder reach on the building?
Round your answer to the nearest hundredth.
A. 6.67 m
B. 3.75 m
C. 0.6 m
D. 15 m
Step-by-step explanation:
The question missing attachment (incomplete)
But the question said how far up does the ladder reach on the building?
See the attachment
Let the tita be 60° and the height of the building be 50 meters
Now
Opposite/hypotenuse = sin(tita)
50/x = sin60°
Cross multiply to find x
x = 50/sin(60°)
x= 50/0.8660
x=57.7 meters
Answer:
A. 6.67 m
Step-by-step explanation:
Below are attachments containing the complete question and solution
I really need help this is math
Answer:
x=-18
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well we'd just solve the equation!
-7+1=-1+x/3+1
-6*3=x/3*3
x=-18
And to check:
-1+-18/3
-1-6=-7
^u^
(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥
˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜
-7 = -1 + [tex]\frac{x}{3}[/tex]
To solve this you must isolate x.
On the right side of the equation the one is negative. To cancel the -1 from the right side you must add 1 to both sides (what you do to one side you do to the other) since addition is the opposite of subtraction (negative). Doing this will make -1 zero on the right side of the equation and bring it over to the left side
-7 + 1 = -1 + 1 + [tex]\frac{x}{3}[/tex]
-6 = 0 + [tex]\frac{x}{3}[/tex]
-6 = [tex]\frac{x}{3}[/tex]
The x is being divided by 3 and the opposite of division is multiplication. To completely isolate x you must multiply 3 to both sides. This will cancel the three out on the right side of the equation and bring it over the left side.
-6 * 3 = [tex]\frac{x}{3}[/tex] * 3
-18 = x
Now check:
-7 = -1 + [tex]\frac{-18}{3}[/tex]
-7 = -1 + (-6)
-7 = -7
^^^This is true which means that x = -18
I hope this helped! Let me know if you have any questions
~Just a girl in love with Shawn Mendes
Help me find the area please
[tex] \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16[/tex]
[tex] \frac{115}{360} \times \pi \times {5}^{2} \\ = 25.08[/tex]
AREA OF THE COMPOSITE FIGURE
[tex]16 + 25.08 = 41.08ft^{2} [/tex]
( 2x^4+2x^3+x^2-x-1 ) \ ( x^2-x-1 )
Answer:
[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]
Step-by-step explanation:
We want perform the following polynomial division.
[tex] \frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } [/tex]
We carry out the polynomial division in the attachment to obtain:
[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]
See attachment;
midpoint of (1,3) and (4,-5)
Answer:
The rigth answer is, ( 5/2 , -1 )
Step-by-step explanation:
To find the midpoint we use the respective formula:
m = ( x1 + x2 / 2 , y1 + y2 / 2 )
We replace:
m = ( 1 + 4/2 , 3 + (- 5) / 2 )
We solve:
m = ( 5/2 , -1 )
Martin is going to ride in the great bicycle race which is 7/10 as long as the 100- mile astounding race how long is the great bicycle race
Answer: 70 miles long
Step-by-step explanation:
7/10 x 100 = 70
its 70 miles long
Final answer:
The great bicycle race is 70 miles long.
Explanation:
To find the length of the great bicycle race, we need to multiply the length of the 100-mile astounding race by 7/10. Since 7/10 is a fraction, we can represent it as 7 divided by 10. Multiplying by a fraction is the same as multiplying the numerator by the same factor as the denominator. Therefore, we can multiply 100 by 7 and divide by 10 to find the length of the great bicycle race.
There are a few ways to do this computation. One way is to multiply 100 by 7, which equals 700, and then divide 700 by 10. The result is 70 miles. Therefore, the great bicycle race is 70 miles long.
Which statements about the cylinder are true? Select two
options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is 1x2 square units.
The area of the cylinder's base is
nex? square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Answer:
The radius of the cylinder is (1/2)x units
The area of the cylinder’s base is (1/4)πx2 square units
The height of the cylinder is 4x units
Step-by-step explanation:
The complete question is
A cylinder with a base diameter of x units has a volume of πx3 cubic units.
Which statements about the cylinder are true? Check all that apply.
(1) The radius of the cylinder is (1/2)x units.
(2) The radius of the cylinder is 2x units.
(3) The area of the cylinder’s base is (1/4)πx2 square units.
(4) The area of the cylinder’s base is (1/2)πx2 square units.
(5) The height of the cylinder is 2x units.
(6) The height of the cylinder is 4x units
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter
[tex]V=\pi x^{3}\ units^3[/tex]
substitute the given values in the formula of volume
[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]
solve for h
simplify
[tex]x=(\frac{1}{4})h[/tex]
[tex]h=4x\ units[/tex]
Verify each statement
(1) The radius of the cylinder is (1/2)x units
The statement is true
see the explanation
(2) The radius of the cylinder is 2x units.
The statement is false
Because, the radius of the cylinder is x/2 units
(3) The area of the cylinder’s base is (1/4)πx2 square units
The statement is true
Because, the area of the cylinder's base is equal to
[tex]A=\pi r^{2}[/tex]
[tex]r=\frac{x}{2}\ units[/tex]
substitute
[tex]A=\pi (\frac{x}{2})^{2}[/tex]
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
(4) The area of the cylinder’s base is (1/2)πx2 square units.
The statement is false
Because, the area of the cylinder's base is equal to
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
see the part (3)
(5) The height of the cylinder is 2x units.
The statement is false
Because, the height of the cylinder is 4x units (see the explanation)
(6) The height of the cylinder is 4x units
The statement is true
see the explanation
The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Maya travel than Kelly? One rotation of the carousel takes 12 seconds. How much faster does Maya travel than Kelly?
Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Step-by-step explanation:
Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:
Kelly is riding on the inner ring, which has a radius of 9 feet
Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 9[/tex]
⇒ [tex]Distance = 56.52feet[/tex]
Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .
Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 17[/tex]
⇒ [tex]Distance = 106.76feet[/tex]
Therefore , Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Now , Speed of both is give by
⇒ [tex]Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec[/tex] And ,
⇒ [tex]Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec[/tex]
Faster Maya travels = 8.90-4.71 = 4.19
So , Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
If a car travels at an average rate of "x" miles per hour, how many miles will the car travel in six hours? A) 6x B) x + 6 C) x 6 D) 6 x
The total number of miles the car can travel in 6 hours is A. 6x miles per hour
To calculate the miles the car will travel in six hours
By using the formula of Distance = Rate * Time
Given that,
Average rate is given as "x" miles per hour
the time = 6 hours
To calculate the total miles in 6 hours = x * 6 miles per hour
Total miles = 6x miles per hour
Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour