Answer:
Problem Solving
The total costs of two oranges and two bananas is 62 cents.
Step-by-step explanation:
5 oranges + 1 banana = 87 cents
1 orange + 5 bananas = 99 cents
Let x represent the oranges and x for the bananas. Thus 5x + y = 87 and x + 5y = 99. Solve x using substitution method. If 5x + y = 87, then y = -5x + 87. Substitute this equation to the second equation: x + 5(-5x + 87) = 99. x + (-25x) + 435 = 99. Simplify by combining the similar terms of the equation: -24x = 99 - 435. -24x = -336. Divide both sides of the equation by 24 to get the value of x. Therefore, x = -336/-24, x = 14 cents. Each orange costs 14 cents.
Compute for the price of a banana using the second equation: x + 5y = 99. Replace x with 14. 14 + 5y = 99. 5y = 99 - 14. 5y = 85. Divide both sides of the equation by 5 then y = 17 cents.
Now, find the cost of two oranges and two bananas: 2x + 2y = 2(14 cents) + 2(17 cents) = 28 + 34 cents. Therefore, two oranges and two bananas costs 62 cents.
Given f(x) = x − 7 and g(x) = x2. Find g(f(4)). G(f(4)) =.
Answer:
[tex]g(f(x)) = gof(x) =( x - 7)^{2} \\ = {x}^{2} - 14x + 49 \\ g(f(4) )\times g(f(4)) = (4^{2} - 14 \times 4 + 49 )\times( 4 ^{2} - 14 \times 4 + 49) \\ = 9 \times 9 \\ = 81[/tex]
Sara threw 6 darts at this dartboard, and they all hit the target. Which of the following numbers could have been her score: 4,24,29,31,56
Answer:
everything but 4 and 31!
Step-by-step explanation:
24: 9+9+1+1+1+3
29: 9+5+5+1+1+3
56: 9×6
Can Anyone help me with this it will really help
3 of 9
of students at a school are boys. If there are 2601 students at the school, how many are
girls?
Answer:
1734 students
Step-by-step explanation:
We are given that 3 out of 9 students at this school are boys, so 1 out of 3 students are also boys. This means that 2/3 of the school's population are girls.
[tex]\frac{2}{3} * 2601[/tex] [tex]2 * 867[/tex] [tex]1734[/tex]Therefore, 1734 students are girls.
an electric iron is rs 300 including 10% VAT find the price before the VAT was added
Answer:
270 is the price before vat has added .
Step-by-step explanation:
300-10%of300
300-10/100*300
300-30
270#
Select the correct answer.
Consider function f.
What is the domain of the linear piece?
Answer:
(0, ∞)
Step-by-step explanation:
The linear portion is the part that is a straight line. The hole at x=0 indicates that the function is not defined at x=0. Therefore, the domain of the linear portion of the function shown is (0, ∞).
⇒ Answer choice C
The domain of the linear piece is (0,∞). So, the right option is C.
What are functions?A function is a relation between a dependent variable (say f(x) ) and an expression of an independent variable (say x), used to determine the value of a dependent variable from a given value of an independent variable.
What is the domain of the function?The domain of a function is the set of independent variables, where the value of the dependent variables is defined.
How do we solve the given question?The linear part of the function starts from the point where x = 0 and then goes on for all positive values of x. At x = 0, the point on the graph is marked hollow, which represents that f(x) is not determined at x = 0.
So, the linear part of the function is defined for the values 0 < x < ∞, that is the domain of the linear piece of the function is 0 < x < ∞.
This can also be represented as (0,∞).
So the domain of the linear piece of the function f is (0,∞).
So, the right option is C.
Learn more about the Domain of a function at
https://brainly.com/question/1770447
#SPJ2
What is the number senior citezens?
3x+y=38
Answer:
-3x-38=y
Step-by-step explanation:
3x+y=38
3x=38-y
3x-38=-y
-3x-38=y
What is the perimeter?
Answer:
180
Step-by-step explanation:
The perimeter of geometrical shapes is calculated by adding side lengths:
72 + 30 + c = p first we need to find the value of c
The square length of hypotenuse is equal to sum of the square length of the legs:
30^2 + 72^2 = c^2
900 + 5184 = c^2
6084 = c^2 find the root of the both sides
78 = c
78 + 72 + 30 = 180
A rental company rents a luxury car at a daily rate of $37.26 plus $25. per mile. Vanessa is allotted $120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can travel on the $120?/
Answer:
331 miles
Step-by-step explanation:
$120 - 37.26 = $82.74
$82.74 = 8274 cents
8274/20 = 330.96 miles
Karen wants to place a lamp halfway between the
chairs at points C and D. How can she find the point
where the lamp should go?
Answer:
In D
Step-by-step explanation:
in d you can place the lamp there
Rewrite the following expression using each base only once.
2^6 x 2^7
[tex] {2}^{6} \times {2}^{7} \\ using \: \: {a}^{m} \times {a}^{n} = {a}^{m + n} we \: \: get \\ = {2}^{6 + 7} \\ = {2}^{13} [/tex]
Answer:
[tex] {2}^{13} [/tex]
Hope you could understand.
If you have any query, feel free to ask.
Please help asap!!!!
Answer: D
Step-by-step explanation:
The perimeter of a rectangle 52 inches. The rectangle has a length of 6x+2 inches and a width of 3x-3 inches. What is the measure in inches of the width of the rectangle?
7.59 inches and 3x-3 width
Valerie answered 28 problems on her test correctly. If Valerie correctly answered 80% of the problems on the test, then how many total problems were on the test? 22 problems 22 problems 25 problems 25 problems 35 problems 35 problems 36 problems 36 problems
Answer:
35
Step-by-step explanation:
80% of 35 = 28
Answer:
35 problems
Step-by-step explanation:
We can set up a proportion.
80/100 = 28/x Cross multiply
80x = 2800 Divide both sides by 80
x = 35
I hope this helped and please mark me as brainliest!
0.25 divided by 3
What would that be
Answer:
12 or 0.83
Step-by-step explanation:
In a survey of 135 adults, 85 were employed full time and the remainder were employed part time. Of those employed full time, 70 had been to a doctor in the last year. Of those employed part time, 25 had been to a doctor in the last year. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table. Been to a doctor in the last year? Yes No Employed full time Employed part time.
Find a vector parallel to the plane
16x=−16z+2
.
Answer:
16*x-(-16*z+2)=0
Step-by-step explanation:
correct me if im wrong
=>
Can someone help me figure out these proofs if you can!! In geometry
Answer:
For all the proofs you start with the given, and work you’re way down the problem.
1)
Statement Reasoning
LM=NO Given
∠LMO≅∠NOM. Given
OM=OM Reflexive Property of Equality
ΔLMO=ΔNOM SAS Congruence Postulate
2)
Statement Reasoning
∠A=∠D Given
CB bisects ∠ACD Given
CB=CB Reflexive Property of Equality
∠ACB=∠BCD Definition of Angle Bisector
∠ABC=∠CBD Definition of Angle Bisector
ΔABC=ΔDBC ASA Congruence Postulate
CA=CD Definition of Congruence
3)
Statement Reasoning
∠T=∠U Given
S is midpoint of TU Given
∠TSN=∠USH Vertical angles are congruent
TS=SU Definition of Midpoint
ΔTSN=ΔUSH ASA Congruence Postulate
SN=SH Definition of Congruent
What is the slope of this bar please??
scan graph
take two points
(4,20)
(7,14)
the slope caculation form:
y2-y1/x2-x1
14-20/7-4
-6/3
simplify
slope is -2
Victoria purchased 6 pints of ice cream for a party. If each guest will be served exactly
pint of ice cream, how many guests can Victoria serve?
Answer:
6
Step-by-step explanation:
Since she bought 6 pints of ice cream, each guest gets exactly a pint of ice cream. She can only serve 6 guests
3. A restaurant bill is $59 and you pay $72. What percentage gratuity did you pay?
Answer:
22.03%
Step-by-step explanation:
(72 - 59) / 59
13 / 59
22.03%
hope it helps :)
Answer:
22%
Step-by-step explanation:
The bill is $59 and you pay $72; this means you tipped
72-59 = $13.
To find the percentage, divide the amount of tip by the bill amount:
13/59 = 0.2203389831 ≈ 0.22; this is 22%.
The table shows Frank and his brother's monthly salaries.
Pay Method
Daniel
A commission of 15%
on his weekly sales.
Frank
A weekly salary of $450 plus an
18% commission on his
weekly sales over $4,000.
One week, Frank and Daniel each have sales of $9,500. Who earned more money that week?
Answer:
the first blank is frank
the second blank is $15
Step-by-step explanation:
Ive been trying to do this question for awhile now, if anyone could help that would be great.
Root: where a function equals zero [ f(x)=0 ]
Using the graph, f(4)=0 and f(-3)=0
Therefore the positive root is 4
And the negative root is -3
Answer:
see explanation
Step-by-step explanation:
The roots of f(x) = 0 are the points on the x- axis where the graph crosses the x- axis
(a)
The graph crosses the x- axis at (4, 0 )
Then x = 4 is the positive root
(b)
The graph has a turning point on the x- axis at (- 3, 0 )
Then x = - 3 is the negative root with multiplicity of 2
Which triangle is a 30°-60°-90° triangle?
Answer:
The first triangle at the top is a 30°-60°-90° triangle
Step-by-step explanation:
I hope this helped :), sorry if im wrong
Please Help Quickly! I’ll mark brainliest
Please find the slope and I’m sorry it’s hard to read, please simplify the final answer
No links plz. Need help asap.
A parachutist's rate during a free fall reaches 60 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answer: 1155ft
Step-by-step explanation:
assuming that 70 m/s is the terminal velocity
1 meter=3.3 ft
70 meters= 231
231×5= 1155ft
What are the dimensions if the poster is enlarged by a factor of 5/2?
Answer:
a
Step-by-step explanation:
Take half of 12 and half of 3, and multiply them both by 5
help ill give 20PNT and Brainliest and crown
Try C. I'm so so sorry if it's wrong-
Answer:
The answer is c
Step-by-step explanation:
If you compare the table and the graph you notice that the graph is almost twice the speed than it says on the table
Need help finding the slope and y intercept
equation y=-1/2x+7 for first one (you made a mistake its -1/2)
equation y=x-4 for second one( you did it...copletely wrong
What is the value of the 5th term of the expansion (2x-4)^4 HELP PLEASE
Answer:
Option D
The answer is 256
Step-by-step explanation:
(2x – 4)⁴
(2x – 4) × (2x – 4) × (2x – 4) × (2x – 4)
(2x – 4)² × (2x – 4)²
(4x² – 16x + 16) × (4x² – 16x + 16)
16x⁴ – 64x³ + 64x² – 64x³ + 256x² – 256x + 64x² – 256x + 256
16x⁴ – 128x³ + 384x² – 512x + 256
Thus, The 5th term of the expansion (2x – 4)⁴ is 256
-TheUnknownScientist 72
