Ms Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17.50 each as wrenches that cost $21.50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms Patel buy if she paid a total of $141 and the price of each chisel set is $28?
Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.
Step-by-step explanation:First, make a ratio. For every 2 wrenches, she bought 4 pliers and 1 chisel set. This ratio would be written as (in pliers:wrenches:chisels)4:2:1
Then, multiply each of these numbers by their price, and add them together.PLIERS: 4 × 17.50 = $70
WRENCHES: 2 × 21.50 = $43
CHISEL SETS: 1 x 28 = $28
TOTAL = $70 + $43 + $28 = $141
As this adds up to $141, this shows that she bought 4 pliers, 2 wrenches and 1 chisel set.Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.
I hoped this helped!
Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit
$10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out!!!!
9514 1404 393
Answer:
a) $169,234.59
b) $19,234.59
Step-by-step explanation:
The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?
The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.
__
a) Assuming an "annuity", the formula is ...
A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years
A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance
__
b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...
$169,234.59 -150,000 = $19,234.59 . . . . interest earned
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
The measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.
Answer:
y=1/3x
When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.
a+4b=-4 a+10b=-16
how to solve this problem
Answer:
a = 4
b = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
a + 4b = -4
a + 10b = -16
Step 2: Rewrite Systems
a + 4b = -4
Subtract 4b on both sides: a = -4 - 4bStep 3: Redefine Systems
a = -4 - 4b
a + 10b = -16
Step 4: Solve for b
Substitution
Substitute in a: -4 - 4b + 10b = -16Combine like terms: -4 + 6b = -16Isolate b term: 6b = -12Isolate b: b = -2Step 5: Solve for a
Define equation: a + 4b = -4Substitute in b: a + 4(-2) = -4Multiply: a - 8 = -4Isolate a: a = 4There are 3 times as many children as adults at the zoo. Complete the table with possible combinations of adults and children and write an equation that represents all the possible combinations
Answer:
Step-by-step explanation:
Adults = x, Children =y
3y=x
PLEASE HELP!!!!!
Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?
Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.
A peice of fabric costs $5.29 a yard which is an estimated cost of 16.3 yards of fabric?
Answer:
90
Step-by-step explanation:
$5.29 * 16.3 = $86.227
=$86.23
86.23 could be rounded up to 90
How? Just how I'm horrible at math
Answer:
c)[tex] \frac{x + 2}{x - 3} . \frac{4}{x + 2} [/tex]Which of these expressions is equivalent to?
Number 4
Choose the rule to describe the transformation:
D(-3, -4), C(-3, -1), B(0, -4)
to
D '(3, -4), C '(3, -1), B '(0, -4)
a. reflection across the y-axis
b. reflection across y = -x
c. translation: (x,y)LaTeX: \longrightarrow⟶(x + 4, y)
d. reflection across y = x
Answer:
a. reflection across the y-axis
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]
[tex]–1 > –2x + 8 –20x + 35[/tex]
[tex]–1 > - 22x + 43[/tex]
[tex] - 1 - 43 > - 22x[/tex]
[tex] - 44 > - 22x[/tex]
[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]
[tex]2 < x[/tex]
[tex]x > 2[/tex]
I dunno, need help!
Show 1 1/4 on a number line out of 4
25. Solve for x. 12x -15 = 129
O
x = 15
O
x=-12
O
x = 12
x= -15
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
multiply 7/15 ,a 2 what is
answer
What is the product of (9)(-9)-1)?
-81
-1
1
81
Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary.
Answer:
x=5 and n=36
Step-by-step explanation:
For the first question: 32/8 = 4/1
4/1 = 20/x
4x = 20
x = 5
For the second question: 63/81 = 21/27
21/27 = 28/x
21x = 756
x = 36
Select the expressions that are equivalent to 8(6m).
[tex]\textsf{Hey there!}[/tex]
[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]
[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]
[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
you need to raise at least $400 in order to go on a field trip. you are selling magazines for $12 each. you have already raised $124. how many magazines must you sell to meet your goal? write, solve and graph the inequality for this situation.
Answer:
44 magazines need to be sold
Step-by-step explanation:
Y=Mx+b
400=12x-124
524=12x
43.6667 or 43 (2/3)
round up since you cant sell 2/3 of a magazine
Answer:
the inequality is 124+12x≤400
Step-by-step explanation:
x=23
hope this helps
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?
Answer:
first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.
So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg
I need help please, this is homework
Answer:
-1 = 11
0 = 13
1 = 15
2 = 17
5 = 23
Step-by-step explanation:
2 (-1) +13 = 11
2 (0) +13 = 13
2 (1) +13 = 15
2 (2) +13 = 17
2 (5) +13 = 23
Which statement is correct?
A. Secant is the reciprocal of sine.
B. Cotangent is the reciprocal of tangent.
C. Cosecant is the reciprocal of cosine.
D. Cosine is the reciprocal of cotangent.
SUBMIT
Answer:
Solution in photo
Step-by-step explanation:
The statement that is correct is Cotangent is the reciprocal of tangent.
What is cotangent?The term cotangent can be written as ( cot ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.
Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.
Learn more about tangent from
https://brainly.com/question/4470346
#SPJ2
Amy is applying for a job in two companies. The given table shows the salary in dollars () that Company 1 is offering
if she works x hours. Company 2 is offering $12.50 per hour plus a bonus of $80. If she plans to work 40 hours each
week, in which company will she earn more money in a week and by how much more?
A)
She will earn $20 more in Company 1.
B)
She will earn $40 more in Company 1.
C)
She will earn $20 more in Company 2.
D)
She will earn $40 more in company 2.
Eliminate
Answer: B is the correct answer
Step-by-step explanation: Lol its B
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
Find the value of 0 and round to the nearest whole degree
Answer:
57°
Step-by-step explanation:
[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]