Answer:
53, 59, 61
Step-by-step explanation:
A prime number only has 1 factor.
50 is NOT a Prime Number.
51 is NOT a Prime Number.
52 is NOT a Prime Number.
53 is a Prime Number.
54 is NOT a Prime Number.
55 is NOT a Prime Number.
56 is NOT a Prime Number.
57 is NOT a Prime Number.
58 is NOT a Prime Number.
59 is a Prime Number.
60 is NOT a Prime Number.
61 is a Prime Number.
62 is NOT a Prime Number.
63 is NOT a Prime Number.
64 is NOT a Prime Number.
65 is NOT a Prime Number.
Amelia and Zerin are creating a pattern on the sidewalk with chalk. Amelia starts her pattern with 0 and adds 3 every time. Zerin starts her pattern with 0 and adds 6 every time. What is the 7th number in each of the girls' patterns? What is the relationship from Amelia's pattern to Zerin's?
Answer:33
Step-by-step explanation:
a number minus 7 is less then 12
Answer:
7-n=12
Step-by-step explanation:
Answer:
x - 7 < 12
Step-by-step explanation:
Solve the following proportions p/18= 8/72 pls help
Answer:
p = 2
Step-by-step explanation:
[tex]\frac{p}{18}[/tex] = [tex]\frac{8}{72}[/tex]
to work with smaller numbers you can look to reduce
for example, 8/72 can be reduced to 1/9
[tex]\frac{p}{18}[/tex] = [tex]\frac{1}{9}[/tex]
now you can cross-multiply:
9p = 18
p = 18/9 which is 2
how do i find the circumference? HELP PLEASE!!
Answer:
28.26 inches
Step-by-step explanation:
What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3 a.(3, 6) b.(2, 1) c.No solution d.Infinite number of solutions
Given:
The system of equations is
[tex]3y=\dfrac{3}{2}x+6[/tex]
[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex]
To find:
The solution of the given system of equations.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]3y=\dfrac{3}{2}x+6[/tex] ...(i)
[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex] ...(ii)
Rewritten the given equation in slope intercept forms.
In equation (i), divide both sides by 3.
[tex]y=\dfrac{1}{2}x+2[/tex]
Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 2.
In equation (ii), multiply both sides by 2 and isolate y variable.
[tex]y-\dfrac{1}{2}x=6[/tex]
[tex]y=\dfrac{1}{2}x+6[/tex]
Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 6.
Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.
Therefore, the correct option is c.
Jenna works at HomeFries and made 144 corn dogs in 6 hours. How many corn dogs can she make in 1 hour?
Answer:
24
Step-by-step explanation:
A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails
and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the
number of boxes of nails and s represents the number of boxes of screws, which of the
followina sustems of inequalities models this situation?
Answer:
$12.99n + $14.99s = $60
Step-by-step explanation:
The system of inequalities is n ≥ 1 and s ≥ 1 would represent this situation.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let n represent the number of nail boxes and s represent the number of screw boxes.
Nails will cost $12.99 if the price per box is $12.99.
In a similar vein, if a screw costs $14.99 a box, then s screws will also cost $14.99.
The carpenter can purchase n nails and s screws for a total of $60.
12.99n + 14.99 ≤ 60
Also, Since the carpenter needs to buy both nails and screws, it is necessary to buy at least 1 box of each of the two materials.
Therefore, the system of inequalities is n ≥ 1 and s ≥ 1 would represent this situation.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Is 6x and 4x+2 equivalent
Answer:
Is 6x and 4x+2 equivalent
? No!
Step-by-step explanation:
6x doesn't equal 4x+2
In order for them to be the same you would have to add the same terms example:
4x+2x would equal 6x
Extra explaining:
The only way for those term to be added would be if they had the same variable since only 4x has a variable the 2 cant be added. In math you CANNOT move your variables off of a number and add them back on after.
what is 34+1 in math?
Answer:
It is 35
Step-by-step explanation:
34+1=35
Happy to help
PLS HELP ME GOD WILL BLESS YOU HELP ME ILL PAY YOU BACK
Answer:
3. 1524. $1479 5. 36 students 6. 30%Step-by-step explanation:
Question 3Members not using stepper or treadmill:
15%+23%= 38%38% of 400 is:
38*400/100 = 152Question 4Amount of loan $24650Interest rate 2%Time 2 yearsAmount of interest after 2 years:
$24650*2*3/100 = $1479Question 5Total number of students in the poll is 150
Students choosing tacos and corn dogs:
12% + 12% = 24%24% in number:
150*24/100 = 36Note. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.
Question 6Normal cost of television = $500
Reduced cost = $350
Cost reduction:
$500 - $350 = $150Percent reduction:
150/500*100% = 30%What type of decimal is 0.275?
Answer:
55/200 or real
Step-by-step explanation:
if you divide 55 by 200 you get .275. A real number is a number that is positive and above 0
Answer:
Rational
Step-by-step explanation:
0.275 is a rational number
Find(x^2-3x+2)-(3x^2+5x+7).
Answer:
[tex] - 2 {x}^{2} - 8x - 5[/tex]
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Which of the following could be used to isolate the variable in the equation 9x = 14?
A. Add - 14 to both sides.
B. Divide both sides by
C. Multiply both sides by S.
D. Subtract 8x from both sides.
Answer:
Divide both side by 9
Step-by-step explanation:
the area of a triangle is 27 square inches the height is 9 inches whats the base
Answer:
6
Step-by-step explanation:
A=hbb/2
9·6/2
=27
I’m not sure if this is right. I just need to know how to graph it.
Y=x^2+4
Answer:
Step-by-step explanation:
slope 5 y - intercept 8
does 3,4,7 make a right triangle
5x+ 35 x=7 how do i answer this
solve for X.
picture attached (15 points)
Answer:
1) 75
2) 63
Ask if you want more
Step-by-step explanation:
Answer: (In order)75,63,20,55,23,17
Please give me the brainiest this took so long
Step-by-step explanation:
47+58= 105
180-105= 75
1st problem- x= 75
96+21= 117
180-117= 63
2nd problem- x= 63
90+31+3x-1=180
90+31+(-1)= 120
180-120=60
3x=60
÷3 ÷3
3rd problem- x=20
21+34=55
180-55=125
4th problem- x=55
80+2x+3+51
80+3+51=134
180-134=46
2x=46
÷2 ÷2
5th problem- x=23
180-94=86
86+60+2x=180
86+60=146
180-146=34
2x=34
÷2 ÷2
6th problem- x=17
ZA and ZB are supplementary angles. If mZA = (x + 6) and m
ZB = (7x +30)°, then find the measure of ZA.
Answer:
za=24
Step-by-step explanation:
supplementary angles add up to equal 180
180=7x+x+30+6
step 1 combine like terms
180=8x+36
step 2 subtract 36 from each side
144=8x
step 3 divide each side by 8
x=18
now we just plug in 18 to x in x+6
18+6=24
Answer:
24°
Step-by-step explanation:
The sum of supplementary angles is 180°.
Thus, we can set up our equation as:
(x + 6) + (7x + 30) = 180
Combine like terms.
8x + 36 = 180
Isolate the variable by subtracting 36 from both sides.
8x = 144
Divide both sides by 8.
x = 18
Now, let's revisit the equation for m∠ZA, and plug in our x.
((18) + 6)°
24°
There is a sale today in a clothing store. All items are discounted 20%. The regular price of a T-shirt is $18. What is the discount price
Step-by-step explanation:
[tex] \underline { \underline{ \text{Given}}} : [/tex]
Discount % = 20%Marked price of a T - shirt = $ 18[tex] \underline{ \underline { \text{To\: find}}} : [/tex]
Discount amount[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
☥ [tex] \boxed{ \sf{Discount \: amount = Discount \: \% \: of \: Marked \: price}}[/tex]
⟼ [tex] \tt{20\% \: of \: 18}[/tex]
⟼ [tex] \tt{ \frac{20}{100} \times 18}[/tex]
⟼ [tex] \tt{ \$ \: 3.6 \:}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \$ \: 3.6}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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The total number of gallons of water in a tank at time t is modeled by the expression A(t)=30+8t-2/3(t+1)^3/2
Answer:
193 gallons
Step-by-step explanation:
Given
[tex]A(t) = 30+8t-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]
Required
Determine the maximum amount of water the tank can hold --- Missing from the question
Start by differentiating A w.r.t t
[tex]A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}][/tex]
Solving: [tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -\frac{2}{3}\frac{d}{dt}[(t+1)^{\frac{3}{2}}[/tex]
Apply power rule:
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -\frac{2}{3}[\frac{3}{2}(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1][/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1][/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1+0][/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1][/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1}[/tex]
[tex]\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{1}{2}}[/tex]
So:
[tex]A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}][/tex]
A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}]
[tex]A'(t) = 0 +8 -(t + 1)^{\frac{1}{2}}[/tex]
[tex]A'(t) = 8 -(t + 1)^{\frac{1}{2}}[/tex]
Equate to 0 to solve for t
[tex]A'(t) = 0[/tex]
[tex]8 -(t + 1)^{\frac{1}{2}} = 0[/tex]
Collect Like Term
[tex]-(t + 1)^{\frac{1}{2}} = -8[/tex]
Square both sides
[tex](-(t + 1)^{\frac{1}{2}})^2 = (-8)^2[/tex]
[tex]t +1 = 64[/tex]
Make t the subject:
[tex]t = 64 - 1[/tex]
[tex]t = 63[/tex]
So, the tank is at maximum when t = 63.
Substitute 63 for t in: [tex]A(t) = 30+8t-\frac{2}{3}(t+1)^{\frac{3}{2}}[/tex]
[tex]A(63) = 30+8*63-\frac{2}{3}(63+1)^{\frac{3}{2}}[/tex]
[tex]A(63) = 30+8*63-\frac{2}{3}(64)^{\frac{3}{2}}[/tex]
[tex]A(63) = 30+8*63-\frac{2}{3}*512}[/tex]
[tex]A(63) = 30+8*63-\frac{2*512}{3}}[/tex]
[tex]A(63) = 30+8*63-\frac{1024}{3}}[/tex]
[tex]A(63) = 30+8*63-341.33[/tex]
[tex]A(63) = 192.67[/tex]
Approximate:
[tex]A(63) = 193[/tex]
identify which number is greater with the symbols > or < or ~ (approximate) pls have the explanation as well thank you!! -10/3 -3.3
Answer:
-3.3>-10/3
Step-by-step explanation:
-10.3 is equal to -3.3333333333....
-3.3 just stops at the tenths so there is 0.033333333 more in -10/3. The higher the negative number the lower it is, for example -3>-4. Therefore, -3.3>-10/3.
A spinner has 14 equal areas Numbered one through 14 if the spinner is spun one time what's the probability that the result is a multiple of 3 or a multiple of 2
Answer:
0.643
Step-by-step explanation:
Given that :
{1,2,3,4,5,6,7,8,9,10,11,12,13,14}
Multiples of 2 : 2, 4, 6, 8, 10, 12, 14
Multiples of 3 : 3, 6, 9, 12
P(multiples o
(Multiples of 2 n multiples of 3) = {2,3,4,6,8,9,10,12,14} = 9
Probability = required outcome / Total possible outcomes
Hence,
P(multiple of 2 or 3) = 9 / 14 = 0.643
A grocery store sells tangerines in 2/5 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?
Answer:
So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4
Step-by-step explanation:
solving systems of equations by subsitution
Suppose your friend's parents invest $15,000 in an account paying 7% compounded annually. What will the balance be after 10 years?
Answer:
$25,500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 15000 × 0.07 × 10 = 10500
I = $ 10,500.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 7% per year
for 10 years is $ 10,500.00.
If m= 3 and n= 2, then m2-n2 is equal to
Answer:
5
Step-by-step explanation:
(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)
Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.
Note: This symbol means to the power of ----> ^
please help asap everything is in the ss
2-Step Equation -7x+4-11
Answer: -7x-7
Step-by-step explanation: Subtract 11 from 4
-7x-7
[tex]\text{Hey there!}[/tex]
[tex]\bold{-7x+4-11}\\\bold{COMBINE\ your\ LIKE\ TERMS}\\\bold{\-7x+ \underline{4}- \underline{11}}\\\bold{4-11=-7}\\\bold{7=7}\\\bold{=7x-7}\\\boxed{\boxed{\bold{Answer: -7x -7}}}\huge\checkmark[/tex]
[tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]