Answer: Number of hardback = 32
Number of paperback = 117
Step-by-step explanation:
Let the number of hardback books be represented by x.
Let the number of paperback books be represented by y.
Based on the information given, we can form an equation which will be:
x + y = 149 ......... i
3.50x + 0.75y = 199.75 ...... ii
Multiply equation i by 3.50
Multiply equation ii by 1
3.50x + 3.50y = 521.50 ...... iii
3.50x + 0.75y = 199.75 .....iv
Subtract equation iv from iii
2.75y = 321.75
y = 321.75 / 2.75
y = 117
Number of paperback = 117
Since x + y = 149
x = 149 - y
x = 149 - 117
x = 32
Number of hardback = 32
Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary.
The number line below represents the solution to which inequality?
F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27
Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5
Answer:
a) [tex]x=\frac{y}{k}[/tex]
b) [tex]y=0.6k[/tex]
c) [tex]x=\frac{38.5}{k}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]y=38.5[/tex]
[tex]x=0.6[/tex]
Generally the equation for the directly proportional variable is mathematically given by
[tex]y \alpha x[/tex]
[tex]y=kx[/tex]
Where
[tex]K=proportionality\ constant[/tex]
a)
The Formula in terms of x
[tex]x=\frac{y}{k}[/tex]
b)
[tex]y=k(0.6)[/tex]
[tex]y=0.6k[/tex]
c)
[tex]38.5=kx[/tex]
[tex]x=\frac{38.5}{k}[/tex]
5 x 1/5 is equal to
А. 1
В. 178
с. -1/8
D. -1
Answer:
1
Step-by-step explanation:
5 x 1/5 =
5/1 x 1/5 = 5/5 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
ASAP!!!!!!!!!
SAT scores are normally distributed with a mean of
500 and a standard deviation of 60. Find the z-score
of an SAT score of 380.
Answer:
the z-score for the sat score of 380 is 2
Step-by-step explanation:
the way i got this is you got to take the standard deviation value and subtract it from the mean since the value 380 is less than 500.
500-60=440-60=380
so the answer would be a z-score of 2
Type the missing number that makes these fractions equal:?/84=18/28
Answer:
la respuesta es 54/84
Step-by-step explanation:
54/84=0,642857
18/28=0.642857
8 in.
8 in.
8 in.
Find the area of the figure above.
[?] in2
Answer:
96
Step-by-step explanation:
Total area = area of cube + area of triangle
A = 8² + = 64 + 32 = 96 in
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
Answer:
990.56
Step-by-step explanation:
because, Distance=velocity× time
it takes 5 hours 15 mins to get to Glasgow by train from London. Glasgow is 403miles from London? what is the average speed of the time?
please explain step by step
Answer:
London to Glasgow FAQs
How long does it take to travel from London to Glasgow by train? The journey takes 4 hours 29 minutes on average.
The journey takes 4 hours 29 minutes on average.
(b) Jac thinks of a number,
25% of his number is 35.
What is 1/10 of Jac's number?
Answer:
14
Step-by-step explanation:
35 = 25%
35(4) = 100%
140 = 100%
140 x .10 = 10%
14 = 10%
What is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?
Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,
Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³
Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ1
Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Determine the amount of money in the account in 15 years
Given:
The principal value = $10,000
Rate of interest = 8.5% compounded monthly.
To find:
The amount of money in the account in 15 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year, t is the number of years.
Number of months in an year is 12. So, n=12.
Substitute [tex]P=10000, r=0.085, n=12, t=15[/tex] in the above formula.
[tex]A=10000\left(1+\dfrac{0.085}{12}\right)^{12(15)}[/tex]
[tex]A=10000\left(\dfrac{12.085}{12}\right)^{180}[/tex]
[tex]A=35626.53335[/tex]
[tex]A\approx 35626.53[/tex]
Therefore, the amount of money in the account in 15 years is $35626.53.
Someone help me out with this
Answer:
4x = 20
x = 5
Step-by-step explanation:
Have a nice day!
Suppose that among all U.S. Students, 80% have gone to an amusement park and 45% have gone to a beach. Only 15% have done neither. If you select a student at random, what is the probability that the student has gone to the beach but not to an amusement park
Answer:
5%
Step-by-step explanation:
Let x represent the percentage of people that have gone to both the park and the beach.
The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x
The percentage of people that have gone only to the beach = 45% - x% = 45 - x
Therefore:
100% = (80 - x) + (45 - x) + (x) + (15)
100 = 80 + 45 + 15 -x - x + x
100 = 140 - x
x = 140 - 100
x = 40%
Therefore 40% of the students have gone to both the park and the beach.
The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%
what is the y-intercept of this parabola?
Answer:
(0,5)
Step-by-step explanation:
Answer:
(0,5)
The place where the line crosses the y-intercept.
Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,
12 m
4 m
4 m
4 m
4 m
Оа
208 m2
Oь
177 m2
Ос
224 m2
Od
158 m2
Math question:
Help me out and I will do anything
Answer:
b. 2/5
Step-by-step explanation:
[tex] \frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5} [/tex]
Answer:
The experimental probability of tossing heads is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
The experimental probability is the probability that is determined on the basis of the results of an experiment repeated many times. Since Vernon tossed 8 heads during his 20 experiments, the experimental probability of tossing heads is [tex]\frac{8}{20}[/tex] or [tex]\frac{2}{5}[/tex].
Add 8 and 7, and then multiply by 2
Answer:22
Step-by-step explanation:
It’s like saying 8+7x2 and it’s 22
Answer:
30
Step-by-step explanation:
(8 + 7) * 2
(15) * 2
30
Hope this helps!
Find the value of x.
M M
(2x
10)
(2x + 40)
N
X=
Answer:
Could you state the question in the correct order?? Like is N supposed to be there?
Rewrite the following polynomial in standard form
-x2 + 1 + 2x
Answer:
Simplify terms.
Tap for more steps...
2 x ^3 − 9 x^ 2 + 7 x + 6
Step-by-step explanation:
Does the line through the points listed in this table of values have a slope greater or less than 1? Explain how you know.
Answer:
no points are listed
Step-by-step explanation:
<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
What is the answer pls I will mark as brainless
Answer:
-10
Step-by-step explanation:
24+8-(7x6)
Help me please I don’t understand eee
Analia has $550 in her checking account. She wants
to spend part of this money on a VR-Headset. She
wants to have at least $225 left in her checking
account after buying a VR-Headset. The inequality
shown can be used to find t, the amount of money
in dollars that Analia can spend on a VR-Headset.
Solve the inequality.
t + 225 ≤ 550
Answer:
t ≤ 325
Step-by-step explanation:
the inequality: t+225 ≤ 550
t ≤ 550-225
Subtract 225 from 550
t ≤ 325 :)
A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?
Answer:
[tex]E=2.15\times 10^{-4}\ J[/tex]
Step-by-step explanation:
Given that,
The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]
Voltage of the power supply, V = 14 V
We need to find the energy stored in the capacitor.
The formula for the stored energy in the capacitor is given by :
[tex]E=\dfrac{1}{2}CV^2[/tex]
Put all the values,
[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]
So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.
Solve for the value of v.
Answer:v=9
Step-by-step explanation:
6v-4=50
+4 +4
6v=54
divide both sides by 6
v=9
:))
A can of tomato sauce has a volume of 903 cm3 and a height of 11.5 cm. What is the diameter of the can? Group of answer choices 7 cm 5 cm 2.5 cm 10 cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2
Answer:
[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]
Step-by-step explanation:
Given :-
Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .And we need to find out the Dividend. We know that ,
[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]
Substituting the respective values :-
[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]
can someone please make a word problem for this I have no idea what to do
Answer: The ans is always c
Step-by-step explanation: