500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
rewrite 5% as a decimal number
Answer:
5% as a decimal number is 0.05.
Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.
The required area of the figure is 100.75 units².
What is area?Area of an object shows that how much space it can cover.
Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,
We need to find the area of the figure,
To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,
Area of a rectangle = length × width = 14 × 10 = 140 units²
Area of a semicircle = π × radius² / 2
Here the diameter of the semicircle will be the width of the rectangle,
So,
Diameter = 10
Radius = 5
Area of a semicircle = 3.14 × 25/2 = 39.25 units²
Now,
The area of the figure = 140 - 39.25 = 100.75 units²
Hence, the required area of the figure is 100.75 units².
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what is the length of segment XZ?
192
12
8
144
Answer:
12 is the length of XZStep-by-step explanation:
Pythagorean Theorem Formula: a² + b² = hypotenuse²
x² + 5² = 13²
x² + 25 = 169
x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)
x² = 169 - 25
√x² = √144
x = 12
A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st.
Which statement is true about the expressions below?
[tex] \sqrt{5.29} = [/tex]
a) 2.3
b) 2.4
c) 2.5
d) 2.6
Answer:
2.3
Step-by-step explanation:
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Step 1:
Divide the number (5.29) by 2 to get the first guess for the square root .
First guess = 5.29/2 = 2.645.
Step 2:
Divide 5.29 by the previous result. d = 5.29/2.645 = 2.
Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).
Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.
0.3225 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.
Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).
Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.
0.0223910118 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.
Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).
Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.
0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.
So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.
Note: There are other ways to calculate square roots. This is only one of them.
Normal:
The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.
The square root of 5.29 can be written as (5.29)1/2. So,
(5.29)1/2 = (2.3 × 2.3)1/2
(5.29)1/2 = [(2.3)2]1/2
(5.29)1/2 = (2.3)2/2
(5.29)1/2 = (2.3)1
Thus,
√5.29 = 2.3
What is the slope of the line shown on the grid?
Answer:
Answer is last option, -3.
Step-by-step explanation:
We know it's going to be a negative slope because the line is going down to the right, so it can't be eighther option 1 or 3.
Next it appears the line is going 3 units down and 1 unit to the right. So it will be written as -3/1 because of rise/run.
Hope this helps/makes sense :)
Consider the functions p(x) = 5x3 + 6x2 + 4x and qx) = 5640.
-
1. Use graphing technology to find a value of that makes p(x) = q() true.
If a rectangular house is 50 feet wide and contains 2,500 sq/ft, what is its depth?
Answer:
50 ft
Step-by-step explanation:
The area of a rectangle = width × depth
area = 2,500 ft²
width = 50 ft
Substitute the values into the formula:
2,500 = 50 × depth
Divide both sides by 50 to find the depth:
2500 ÷ 50 = depth
depth = 50 ft
please help me with this sum
Answers:
781 × 8 = 6248
231 × 7 = 1617
421 × 6 = 2526
531 × 5 = 2655
681 × 2 = 1362
951 × 4 = 3804
741 × 3 = 2223
361 × 3 = 1083
931 × 7 = 6517
821 × 2 = 1642
hi could someone explain this??
im thinking it is J=50(15)^t???
Answer:
J=15t+50
Step-by-step explanation:
The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.
The equation becomes: J=15t+50
To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.
Checking t=0:
J=15(0)+50=0+50=50
Checking t=1:
J=15(1)+50=15+50=65
Checking t=2:
J=15(2)+50=30+50=80
The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.
5x + 2 = 3x + 4(2x - 1)
show steps
Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+8x-4
5x+2=11x-4
5x-11x=-4-2
-6x=-6
6x=6
x=1
Multiply.
[−8 ⋅ 4/11] ⋅ [(−0.1) ⋅ 22]
What is the product?
pls help!!!
Cookies are on sale! Today each cookie costs $0.75 less than the normal price, Right now if you buy 7 of
them it will only cost you $2.80
Write an equation to determine the normal price of each cookie (c),
Find the normal price of each cookie,
Answer:
2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05
Step-by-step explanation:
Answer:
The normal price of each cookie is n = c = $1.15.
Step-by-step explanation:
Represent the normal cookie price by n.
Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.
We simplify this equation by dividing both sides by 7, which results in:
n - $0.75n = $0.40.
Combining like terms, we get
n = $1.15
The normal price of each cookie is n = c = $1.15.
-12 1/2 + 4 1/2
I need the work
Answer:
-4
Step-by-step explanation:
1/2 of -12 is -6. 1/2 of 4 is 2.
-6 + 2 is -4.
jerry runs at a speed of 9 feet per second. Write his speed as a rate
Answer:
is this what your looking for?
I'm not sure how I can find my answer, any help?
Answer:
The next number would be 3
Step-by-step explanation:
As you can see its a repeating pattern of "1739"
Answer:
3
Step-by-step explanation:
1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...
Which equation represents a proportional relationship?
A) y=5
B) x=3
C) y=2x+3
D) y=1/4x
Answer:
c! I had the same one in my class I'm pretty sure I was right
(can you make me brainleist I need to level up)
Find the unit price in dollars per ounce).
A 24-ounce can of pineapple for $1.08
PLS PLS HELPME ASAP
Answer:
$0.05 per ounce
Step-by-step explanation:
To find the price in dollars per ounce, divide the price by the number of ounces.
[tex]\frac{1.08}{24}[/tex] = $0.045 per ounce = $0.05 per ounce
I need help please I don't get this question
Answer:
70.5%
Step-by-step explanation:
[tex] \frac{1 + \frac{41}{100} }{2} = \frac{x}{100} [/tex]
I wish I could help
No need to type in the percent symbol as that's already taken care of.
==============================================================
Explanation:
The square on the left is fully shaded in to represent 100% so far.
The square on the left is partially shaded in to represent an additional percentage on top of that 100%.
Note that we have 10 rows and 4 columns of white squares, so 10*4 = 40 white squares. Plus the additional white square to the right to get 41 white. That means there are 100-41 = 59 blue squares shaded in. This means that 59% of the second square is shaded blue.
That leads us to 100% + 59% = 159%
What does 2-for-1 split mean
Answer:
you two shares for every one share of a company you own
Step-by-step explanation:
On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?
Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.
Number of yellow markers given = 16
Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:
= 1/2 × 16
= 8 markers
Therefore, the total markers will be:
= 8 + 16 = 24
In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.
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Write the equation in the standard linear equation form (Ax+By=C) if possible. Is the equation linear? y/3+x=5
Answer:
3x + y = 15
Step-by-step explanation:
y/3 + x = 5
You can first move the x and y variable around so it fits the standard linear equation format.
x + y/3 = 5
In order to make it look more like the standard format, you can multiply both sides of the equation by 3 to get rid of the 3 in the denominator of the y variable. It would look like this:
3 ( x +y/3) = 3 ( 5 )
When you multiply this out, you get this:
3x + y = 15
pls help i am in k12
Refer to the equation 2x − 6y = 12.
Write the equation in Slope Intercept Form.
Find the x-intercept and the y-intercept?
Create a table of values for 4 points. You can include the intercepts. Show your work.
X
Y
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y yand solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( 6 , 0 )
y-intercept(s): ( 0 , − 2 )
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope: [tex]\frac{1}{3}[/tex]
graph in pic
(Credit: M a t h w a y)
Can you please help me fractions
Answer:
Step-by-step explanation:
1/320
Fraction form 1/5 Decimal form 0.2
Step-by-step explanation:
hope this helps
Find the square roots of the number: 25
Answer:
square root of 25 is 5
Step-by-step explanation:
when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25
Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.
Answer:
[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]
Answer:
y=-2x+12
Step-by-step explanation:
the sum of three consecutive even integers if the largest number is y
Answer:
y
Step-by-step explanation:
4y=6 sorry thats all i know
Plz help me with math well mark brainliest!
Answer:
15 is divided by a number
what should she do next?
Answer:
(-2) *6 = -12
Step-by-step explanation:
4 + (2-4) *6 , solve the subtraction in parenthesis
4 + (-2)*6, solve the multiplication of (-2) *6
4 - 12, solve the subtraction
-8