Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
What is the answer to 7-x²
Answer:
7-1x^2
Step-by-step explanation:
A can of soup is a cylinder with diameter 7 cm.
The can is 10 cm high
The can is full of soup
soup
The soup is poured into a saucepan.
The saucepan is a cylinder with diameter 12 cm.
Work out the depth of the soup in the saucepan.
Give your answer correct to 1 decimal place.
Answer:
3.4 cm
Step-by-step explanation:
We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.
Cylinder volume: πr²h
r = 0.5 * diameter
volume of soup: π(3.5)²10 ≈ 384.845
volume of soup in saucepan: 384.845
For saucepan:
πr²h = π(6)²h = volume = 384.845
36πh = 384.845
divide both sides by 36π to isolate h
h ≈ 3.4 cm
Which sign makes this number sentence true?
|-56|___ 1561
A)>
B)<
C)=
D) X
The absolute value of -56 is 56
the new sentence is 56____1561
A is not true because 56 is not bigger then 1561 if you count and put on number line
B is very true if you look at A. 56 is smaller than 1516
So, the answer is a
I hope this helped if it's wrong, plz blame me.
Ps.Brainlist would help a lot
Answer:
B
Step-by-step explanation:
The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.
Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
What is the equation of the line with a slope of
−
1
4
and a y-intercept of –3?
A.
y
=
−
3
x
+
1
4
B.
y
=
−
1
4
x
+
3
C.
y
=
−
1
4
x
−
3
D.
y
=
−
3
x
−
1
4
Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)
Using the mean concept, it is found that the inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is:
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
There are 4 observations.They are: 240, 310, 320 and x.Hence, the mean is:
[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]
His goal is to bicycle an average of at least 280 miles per week for 4 weeks, hence:
[tex]M \geq 280[/tex]
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
Read more about algebra word problems at; https://brainly.com/question/21405634
What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.
Answer:
2
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].
Answer:
Try 4.5 or 5
Step-by-step explanation:
I measured it up and I estimated 4.5 at most
a quter of 30 is=
pleas help
Answer:
7.5
Step-by-step explanation:
If 'quter' is quarter, then 30(1/4) is 7.5
A quarter of 30 is 7.5
All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.
Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?
This is the number 80 thousand
==========================================================
Explanation:
1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.
In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.
Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.
Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000
Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.
----------------------------------
Checking the answer:
original fund amount = 80000
1/2 of 80000 = 40000 is the amount the wife gets
1/4 of 80000 = 20000 is the amount the son gets
That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.
----------------------------------
Another method using algebra:
x = original amount of the fund
W = x/2 = 2x/4 = half of the fund = amount wife gets
S = x/4 = quarter of the fund = amount the son gets
W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4
W+S represents the sum of the wife's and son's amounts.
We'll subtract this from the original amount x to find out what's left
x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4
This shows that 1/4 of the fund is left over after distributing to the wife and son.
The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000
So,
x/8 = 10000
x = 8*10000
x = 80000
The original fund is worth Rs 80000
(please help) how many lines of symmetry does the figure have ? type the number only
Hope you could get an idea from here.
Doubt clarification - use comment section
help please I'm stuck
Step-by-step explanation:
the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.
so, the length is still 4.
the square root of 700 times square root of 525 in simplest form
Answer: 350 [tex]\sqrt{3[/tex]
Step-by-step explanation:
700^0.5 = 10 [tex]\sqrt{7\\[/tex]
525^0.5 = 5 [tex]\sqrt{21[/tex]
10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]
How can you represent a proportinoal relationship with an equation
Answer:
Just be yourself
Step-by-step explanation:
Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.
Answer:
25 %
Step-by-step explanation:
Error = (actual - predicted) / (predicted)
= (250-200) / 200
= 50 / 200
= 0.25
multiply by 100 to conver to a percent
25 %
Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length
Answer: c = 6.5I
Step-by-step explanation:
C = the cost of the fabric
I = the length of the fabric
C : I = 13 : 2
C : I = 32.50 : 5
C : I = 6.5
C = 6.5I
someone please help this is due in 25 minutes
28=9x-8
36=9x
x=4
:) hope it helps!
How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)
Answer:
Let's apply the quadratic formula:
⇒
x
=
−
4
±
√
4
2
−
4
(
2
)
(
−
30
)
2
(
2
)
⇒
x
=
−
4
±
√
16
+
240
4
⇒
x
=
−
4
±
√
256
4
⇒
x
=
−
4
±
16
4
⇒
x
=
−
1
±
4
⇒
x
=
−
5
,
3
Therefore, the solutions to the equation are
x
=
−
5
and
x
=
3
.
.
Step-by-step explanation:
Explanation:
All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.
2
x
2
+
4
x
−
30
=
0
x
2
+
2
x
−
15
=
0
Try to factor before we use loner methods of the quadratic formula or completing the square.
Find factors of 15 which subtract (because of -15) to give 2.
The signs will be different (because of -15), there must be more positives. (because of +2)
5 and 3 will work!
5
×
3
=
15
and
5
−
3
=
2
(
x
+
5
)
(
x
−
3
)
=
0
Putting each factor equal to 0 gives the solutions:
x
=
−
5
or
x
=
3
Answer:
(x+3)(x-5)
Step-by-step explanation:
2x²-4x-30 = 0
devide by 2
; x²-2x-15 = 0
(x+3)(x-5) = 0
Which of these is a correct statement?
=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?
Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it
The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.
The correct responses are;
1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.Reasons:
The price of the TV, P = $700
The interest rate is r = 18%
The monthly payment, M = $50
Monthly payment formula is given as follows;
[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]
The time it will take to pay using the credit card is therefore;
[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]
Which gives;
50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ
Solving for n gives;
[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]
It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.
1. The final price of the TV = $50 × 15.832 ≈ $791.6
2. The number of hours of work, t, is given as follows;
[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]
Anthony has to work for 70 hours to save enough money to purchase the TV.
3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card
The interest amount on the card = $791.6 - $700 = $91.6
[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]
Anthony has to work for extra 9.16 hours bussing tables using his credit card.
Learn more about payment on loan here:
https://brainly.com/question/13522402
I’ll give 5 stars but you have to explain how you got 4.
Answer:
.
Step-by-step explanation:
I used the division, 36/9, which has the same end result. It is a similar equation, because of the numbers.
Answer:
4
Step-by-step explanation:
[tex]\frac{0.36}{0.09}[/tex]
Expand [tex]\frac{0.36}{0.09}[/tex] by multiplying both numerator and the denominator by 100.
= [tex]\frac{36}{9}[/tex]
Divide 36 by 9 to get 4.
[tex]4[/tex]
I hope this helps :)
Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition
Answer:
start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6
Step-by-step explanation:
Answer A division
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
Learn more about SAS rule of congruency here:
https://brainly.com/question/6422888
5 2/12 x 10/11
Simplify the answer completely and change to a mixed number
Answer:
[tex]4\frac{23}{33}[/tex]
Step-by-step explanation:
[tex]5 \frac{2}{12}[/tex] × [tex]\frac{10}{11}[/tex]
[tex]\frac{62}{12}[/tex] × [tex]\frac{10}{11}[/tex]
[tex]\frac{62*10}{12*11}[/tex]
[tex]\frac{620}{132}[/tex]
Divide both sides by 4
[tex]\frac{155}{33}[/tex]
Now let us write it as a mixed number
[tex]4\frac{23}{33}[/tex]
Hope this helps you :-)
Answer:
Question :[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]
Solution :[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]
Coverting 5-1/2 into improper fraction :
[tex] \dashrightarrow{\dfrac{(5 \times 12) + (2)}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{(60) + (2)}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{60 + 2}{12} \times \dfrac{10}{11}}[/tex]
[tex] \dashrightarrow{\dfrac{62}{12} \times \dfrac{10}{11}}[/tex]
Performing multiplication :
[tex] \dashrightarrow{\dfrac{62 \times 10}{12 \times 11}}[/tex]
[tex] \dashrightarrow{\dfrac{620}{132}}[/tex]
Cutting the fraction into simplest form :
[tex] \dashrightarrow{ \cancel{\dfrac{620}{132}}}[/tex]
[tex] \dashrightarrow{ \dfrac{155}{33}}[/tex]
Coverting the improper fraction into mixed fraction :
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{4 \dfrac{22}{33}}}}}}}[/tex]
Hence, the answer is [tex]\bf{4 \dfrac{22}{33}}[/tex].
Can i get some help :
The store owner is adding cost, so we will use addition. The answers should be as follows:
[] c + $3.49 = $9.84
[] c = $6.35 <- subtract $3.49 from both sides of the equation
[] Solution of answer represents the old cost of the toy.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather