Answer:
a = 4
Step-by-step explanation:
note that 625 = [tex]5^{4}[/tex] , then
[tex]5^{a}[/tex] = [tex]5^{4}[/tex]
Since the bases on both sides are equal, both 5 then equate exponents, so
a = 4
Answer:
4
Step-by-step explanation:
Prime factorize 625
625 = 25 * 25 = 5 * 5 * 5 * 5
[tex]5^{a} = 625\\\\5^{a} = 5^{4}[/tex]
As base are same, compare the exponents
a = 4
You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for π.
Answer:
415.48
Step-by-step explanation:
is the area
find the area of the composite figure
Answer:
60 m squared
Step-by-step explanation:
40+7.5+12.5=60
solve the following equation
x/3 +4 =7
Answer:
Sorry if im wrong..
Step-by-step explanation:
7 = (7 x)/3 + 4 = 21 x + 4 = 7
A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?
Answer:
12 1/2 kg
Step-by-step explanat
who can help me please ?
Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat. If the current prices of these items are the same as last spring, how much will Luis pay this spring for three gloves and four bats?
Answer:
Luis will pay for three gloves and four bats = $ 270
Step-by-step explanation:
Let the bats be represented by b and gloves by g, then according to the given conditions
3b+ g= $135----equation 1
b+ 2g= $135------equation 2
Subtracting equation 2 from eq. 1 gives
3b+ g= $135----equation 1
-b -2g= -$135------equation 2
2b -g = 0 --------- equation3
2b-g= 0
or 2b= g------ equation4
This means price of 2 bats is equal to price of 1 glove.
Putting value of g in eq. 1 from eq. 4
3b+ 2b= $ 135
5b= $135
b= 135/5= 27
Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54
Luis will pay for three gloves and four bats
= 54*3 + 4*27
= 162+ 108
= $ 270
Steven walked 1,095 feet in his neighborhood. How many yards did Steven walk?
Answer:
365 yards
Step-by-step explanation:
1085/3=365 yds
Hope this helped!!!
(b) In a lab, a substance was heated by 6 °C each hour for 48 hours. What was the total change
in temperature?
Х
Answer:
288 degrees celcius
Step-by-step explanation:
48 x 6 is 288
Answer:
The total change in temperature was 288* degrees.
Step-by-step explanation:
6 x 48 = 288
A. 34
B. 55
C. 65
D. 145
How many pieces of wire 3.6cm long can be cut from a coil of 1m long?What is the length of the piece left over?
Answer:
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over
Step-by-step explanation:
Find the "unit length" by dividing 1 m by 3.6 cm:
1 m
-----------
3.6 cm
Recall that 1 m = 100 cm. Multiply the following by the conversion factor 100 cm / 1 m:
1 m 100 cm
----------- * ----------------- = 27,7777777...
3.6 cm 1 m
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).
Answer:
Solution :-Pieces can be cut = 1/3.6
Pieces can be cut = 0.27 m
100 cm = 1 m
0.27 m = 27 cm
Therefore,
The length remaining of wire is 27 cm (approximately)
30 points!!!
√8+√98+√32.
Answer:
13√2 or 18.38478
Step-by-step explanation:
i hope this helps :)
Let us first resolve the given numbers into prime factors.
By prime factorization,
[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)
[tex] \longmapsto [/tex] √8 = 2√2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)
[tex] \longmapsto [/tex] √98 = 7√2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)
[tex] \longmapsto [/tex] √32 = 2 × 2√2
[tex] \longmapsto [/tex] √32 = 4√2
According to the question,
[tex] \longmapsto [/tex] √8+√98+√32
[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2
Taking √2 as common.[tex] \longmapsto [/tex] √2(2 + 7 + 4)
[tex] \longmapsto [/tex] √2(13)
[tex] \longmapsto [/tex] 13√2
So, we get that :
√8+√98+√32 → 13√2Which of the segments below is a secant?
A. BO
B. BC
C. AO
The segment BD is secant in the circle. Then the correct answer is option D.
What is a secant?A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.
Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.
Hence, the correct answer is option D.
The complete options are given below:-
A. BO
B. BC
C. AO
D. BD
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Answer:
Option A (BD)
Step-by-step explanation:
i liddly just finished it ang got it right
please help me with this problem about factoring.
Answer:
2x^3(3x^3-5x^4+2)
Step-by-step explanation:
Given: 6x^6-10x^7+4x^3
Factor out x^3: x^3(6x^3-10x^4+4)
Factor out 2: 2x^3(3x^3-5x^4+2)
Always look for what you can factor out.
Multiply
5x (2)
I don’t get it
Answer:
10x
Step-by-step explanation:
Write 174% as a fraction in simplest form.
Answer:
The answer should be [tex]\frac{87}{50}[/tex]
Step-by-step explanation:
1.74 = [tex]\frac{174}{100}[/tex] = [tex]\frac{87}{50}[/tex]
Answer:
174% = 87/50 = 1 37/50 as a fraction
Step-by-step explanation:
174% = 174/100
Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(174,100) = 2. So,
(174÷2)/(100÷2) = 87/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 174/100 is also equal to 1 37/50 when expressed as a mixed number.
Which of the following best describes the equation below?
y = -2x2 - 4
A.
both linear and nonlinear
B.
neither linear nor nonlinear
C.
nonlinear
D.
linear
Answer:
I think it's C nonlinear
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
use desmos calculator helps with these question
Nancy ran a total of 35 miles to train for a race.She ran 2.5 miles each day.How many days did Nancy run to train for the race?
Answer:
14 days
Step-by-step explanation:
you divide the total distance, 35, by the amount of miles ran per day, 2.5, to get 35/2.5=14.
What is the equation of the line that is parallel to the line 6x+3y=4 and has a y-intercept of −6?
Answer:
y=-2x-6
Step-by-step explanation:
Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)
Convert our given line 6x+3y=4 into slope-intercept form to find the slope
Subtract 6x on both sides
3y=-6x+4
Divide 3 on both sides
y=-2x+4/3
The slope of the given line is the coefficient of x, -2
Parallel lines have the same slope, so the equation we're solving for also has a slope of -2
We also know that the y-intercept is -6, so we now have all the info we need to make the equation:
y=-2x-6
2.2
Jannie receives R150 pocket money per month. In the new year his mother decided to
(3)
increase his pocket in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Answer:
R180
Step-by-step explanation:
Adjusted income = (original pocket money x new ratio) / old ratio
( 6 x $150) / 5 = $180
an airship flies 150 km with the wind and then turn around and flies back taking 5 hour and 30 min round trip. Find the speed of the airship in calm weather is 55 mph.
Answer:
150=(55-c)(5.5-t)
5.5-t=150/(55-c)
-t=(150-302.5+5.5c)/(55-c)
t=(152.5-5.5c)/(55-c)
150=(55+c)t using t found about
150=(55+c)(152.5-5.5c)/(55-c)
8250-150c=8387.5-302.5c+152.5c-5.5c^2
5.5c^2=137.5
c^2=25
c=5
So the current is 5mph.
Step-by-step explanation:
The perimeter of a rectangular chicken coop is 30 feet. the width is w feets and the length is w + 4 feet. what is the length and width of the coop
The width and length of the chicken coop are 5.5 feet and 9.5 feet respectively.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by P = 2L + 2W, where L is the length, W is the width and P is the perimeter.
We know that the width is w feet and the length is w+4 feet.
Given that the perimeter of the chicken coop is 30 feet, we can set up the following equation:
30 = 2(w + 4) + 2w
We can simplify this equation by combining like terms:
30 = 2w + 8 + 2w
30 = 4w + 8
22 = 4w
w = 5.5
So the width of the coop is 5.5 feet.
To find the length of the coop, we can use the information that the width is 5.5 feet and the length is w+4 feet.
The length of the coop is 5.5 + 4 = 9.5 feet
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Ordered Pairs REMEMBER! There is only 1 output(y) for each input(x). Is this a function or not? (8,-3) , (3,8) , (9,4) , (-2,2)
answer:
a function
step-by-step explanation:
hello there!
as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function
here is a little example of a "table" to help me explain this a little better for you!
input ( x ) | output ( y)
8 | -3
3 | 8
9 | 4
-2 | 2
since none the inputs have more then one output then that means it is a function
hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D
Ann has $ 1, $10, and $20 bills. She has 4 times as many $20 bills as $10 bills. She has 3 times as many $1 bills as $20 bills. She has a total of $204 . Drag and drop the number of $1, $10, and $ 20 bills she has.
Answer:
Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.
Step-by-step explanation:
Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:
1 = 3x20 = 3x4x10 = 12x10
20 = 4x10
10 = 10
(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102
(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204
So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.
a1 + a2 + a3 + a4 + a5
9/10 - 1/2 can you help
Answer:
4/10 or 2/5
Step-by-step explanation:
9/10-1/2 = 9/10-5/10 = 4/10 = 2/5
Answer:
2/5
Step-by-step explanation:
9/10-1/2
9/10-1×5/2×5
9/10-5/10
9-5/10
4/10
2/5
You finally got promoted to the next grade level. You and your friends go out to celebrate your success at Chuck E Cheeses. The total meal cost $70. There is a 15% tip with the meal. Which expression can you use to calculate the total cost of the meal with tip?
A. 0.15 (70)
B. 1.5 (70)
C. 1.15 (70)
D.11.5 (70)
Answer:
80 dollars and 50 cents.
Step-by-step explanation:
youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"
In circle T with m∠STU=78 and ST=8 , find the length of arc SU. Round to the nearest hundredth.
Answer:
10.89
Step-by-step explanation:
The length of the arc SU in the circle T is 10.88 units.
What is circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre.
Given that, in a circle T, m ∠STU = 78° and ST = 8, we need to find the length of arc SU,
The length of an arc = central angle / 360° × perimeter
= 78° / 360° × 3.14 × 16
= 10.88
Hence, the length of the arc SU in the circle T is 10.88 units.
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I will give brainliest please help.
Answer:
135
Step-by-step explanation:
Multiplying the quotient and divisor can give the divended.
So, -9 x -15 = 135
This is same for the other boxes at the top, try multiplying for the other boxes of their quotient and divisor together and you'll get the same number as the divended written on the other boxes.
please i need help...................plz
Answer:
a = 10/1343 = 0.007
b = 500/199 = 2.513
c = 1/3 = 0.333
d+3,567-(0*d)=0
Step-by-step explanation:
HELLLP!!! Which of the following is a true statement?
A) 3/4 > 13/16
B) 6/7 < 5/8
C) 1/3 < 24/72
D) 3/5 > 4/7
Answer:
C is the correct answer.
Step-by-step explanation:
All you have to do is divide 72 by three to get it into thirds and 1/3 is 24.
Answer:
D
Step-by-step explanation:
3/5>4/7
find the common denominator
the common denominator is 35
so since you multiply 7 to 5 to get 35 multiply 7 to 3
3/5 = 21/35
since you multiply 5 to 7 to get 35 multiply 5 to 4
4/7 = 20/35
21/35 > 20/35