Answer:
x = 1.6
Step-by-step explanation:
4x + 6x - 6 = 10
10x - 6 = 10
+6 +6
10x = 16
10x/10 = 16/10
x = 1.6
How much time is needed for a boy on roller skates to slow down from 17.4
m/s to 9.11 m/s if he covers 45.0 m?
Answer:
Step-by-step explanation:
v²-u²=2as
9.11²-17.4²=2a×45
a=-(17.4²-9.11²)/90=-(302.76-82.9921)/90=-219.7679/90 m/s²
v=u+at
9.11=17.4-219.7679/90 t
9.11-17.4=-219.7679/90t
-8.29×90=-219.7679t
t=-746.1/-219.7679≈3.395 s
Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Answer:
[tex]15516.3163[/tex]
Step-by-step explanation:
[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]
If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Using this formula
Amount=P(1+r)n
Where:
p represent principal=$8,500
r represent rate=3.4% or 0.034
n represent number of years=18 years
Let plug in the formula
Amount=$8,500(1+0.034)∧18
Amount=$8,500(1.034)∧18
Amount=$8,500(1.82544)
Amount=$15,516
Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
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Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°
Answer:
z = 10°
Step-by-step explanation:
Since the two sides are equal, the two base angles have to be equal
That means that 5z and 130 form a straight line and add to 180 degrees
5z+130 = 180
Subtract 130 from each side
5z = 50
Divide by 5
5z/5 = 50/5
z=10
A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.
Answer:
X=50 dollars Y=0.4 dollars
Step-by-step explanation:
Starting with the two equations:
$90= X(truck cost)+ Y(cost per km)*100km
and
110=X+Y*150
we solve the first equation for X: X = 90-100Y
and plug X into the second equation: 110=90-100Y+150Y
add like terms: 20=50Y
so Y = 2/5 or .4
Plug Y into the first equation: 90= X+100(.4)
Evaluate: 90= 40+X so X= 50
Answer:
X = 50 dollars
and Y= o.4 cents
Step-by-step explanation:
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation:
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
what’s the best answer ?????
Answer:
zero
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The line is horizontal and parallel to the x- axis
Since the x- axis has a slope of zero then the line has a slope of zero.
Solve for x: x5 − 2 = 18
x5-2=18
I’m gonna rewrite the equation:
18=5x-2
5*4=20-2
X=4
the cube has a side length of 0.8 meters
work out the total surface area of the cube
give your answer in square centimeters
show your working out
------------------------------------please help------------------------------------------------------------------------
Answer:
you go to the teacher and ask for help
Step-by-step explanation:
get up take paper toteacher and ask
The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 13°F. What was the lowest temperature overnight in that city?
Answer:
the answer is -15°F
1st: draw a number line
2nd: start at -2
3rd: go back 13 spaces toward the negitive
4th: u get your answer= -15°F
Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 16.7% B. 14.3% C. 30.0% D. 85.7%
Answer:
D. 85.7%
Step-by-step explanation:
its figuring out the percentage decrease
so you would go
35-5= 30
30/35 x 100 = 85.7
Answer:
Step-by-step explanation:
Discount = 35 - 5 = 30
Percentage of discount = (30/35) * 100
= 85.7 %
y=a(x-r)(x-s) what is a and r and s ?
Answer:
The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation. Negative a makes an upside-down parabola. Big a (in absolute value) makes a skinny parabola, small a a wider one.
r and s are the zeros of the quadratic function, the values of x that give y=0.
Answer:
a , r, s , x all are variables
What is the mean of 12, 24, 24, and 52
Answer:
Mean = 28
Step-by-step explanation:
Mean = [tex]\frac{sum of observations}{number of observations}[/tex]
Mean = [tex]\frac{12+24+24+52}{4}[/tex]
Mean = [tex]\frac{112}{4}[/tex]
Mean = 28
How to make 24 using 13,6,9,3
Is (–6, 6) a solution to the equation y = –x?
Answer:
yes
Step-by-step explanation:
y = –x
Substitute the point into the equation
6 = - (-6)
6 = 6
This is true so the point is a solution to the equation
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
What are angles 3 and 4 called in the diagram below ?
A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles
Please help me with this
Alternate interior angles.
Answer:
Alternate Interior Angles
HELP ME PLEASE! (25 POINTS!)
Destiny has $60 in a savings account that earns 3% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
Answer:
Step-by-step explanation:
$60 * 3% = $1.80
y = 1.80x + $60
12 * 2 = 24
24 = x
y = 1.80(24) + $60
y = $43.20 + $60
y = $103.20
The ratio of the number of roses to the number of daises in a garden is 4:3. If there are 42 daises in the garden, how many roses are in the garden?
Answer:
56
Step-by-step explanation:
The 3 part of the ratio represents daisies.
Divide the number of daisies by 3 to find the value of one part of the ratio.
42 ÷ 3 = 14 ← value of 1 part of the ratio, thus
4 parts = 4 × 14 = 56 ← number of roses
This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year
Answer: 60588
Step-by-step explanation:
= 89100 x 0.68
= 60,588
can anyone help me plz and I need the person to explain it for me
Answer:
1 cm = 100 mi
28.9/1=28.9
28.9 x 100 = 2890 miles distance
2890 / 65 miles per hour = 44.4615 hours to drive
44.461/24 hours in a day = 1.85 rounded up is 2 days
About two days
If you have any questions you can ask
Step-by-step explanation:
Answer:
a) 2900
b) about 44 hours
2 days
Step-by-step explanation:
a line passes through the point (2, -9) and has a slope of -6, what is the equation for this line?
Answer:
Step-by-step explanation:
y + 9 = -6(x - 2)
y + 9 = -6x + 12
y = -6x + 3
Factor completely: 32 + −10.
Answer:
22
Step-by-step explanation:
you are adding negative 10 so your number gets smaller
Traductor de español
¡Hola!
La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.
Respuesta: 22
Prueba: 32
+ -10
______
22
_____________________________________
English Translator
Hello!
The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.
Answer: 22
Proof: 32
+ -10
______
22
The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS
Answer:
D) ΔPNK ≅ ΔIKN by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.
Answer:
answer is C PNK=IKN by SAS
8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies
Answer: Zoey sells over 50 boxes of cookies
Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.
In a parallelogram, both paires of oppsite sides are parallel? true or false
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
solve for 25x2 + 9 = 30x
Answer: [tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Move all terms to one side.
[tex]25x^2+9-30x=0[/tex]
Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]
[tex](5x)^2-2(5x)(3)+3^2=0[/tex]
Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](5x-3)^2=0[/tex]
Take the square root of both sides.
5x-3=0
Add 3 to both sides.
5x=3
Divide both sides by 5.
x= 3/5
Mr. Greene bought some pens at the school supply store, including 15 blue pens. 60% of all the pens he bought were blue.
How many pens did Mr. Greene buy in all?
Simplify x^2-9/x^2+x-12
Answer: \frac{x+3}{x+4}
Step-by-step explanation:
\frac{x^2-9}{x^2+x-12}
\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}
Answer: x⁴+x³-12x²-9/x²