Answer:
30.4 km/h
Step-by-step explanation:
Ajoba: 45 miles = 72 km ; 2.5 hours
Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours
Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h
Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h
Difference: 59.2 - 28.8 = 30.4 km/h
Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.
Answer:
All these statements are true. See explanations, below.
Step-by-step explanation:
A Line 4y = -16 is horizontal. TRUE. Note that y = -4 here.
B. Line 3x = 27 is vertical. TRUE. Note that x = 9, which is a vertical line.
C. For both lines, all points on the line have an x- and a y-coordinate. TRUE. But for 4y = -16, the y-coordinate is always the same: -4; for x = 9, the x-coordinate is always the same.
D. For either line, one of the coordinates of all the points is always the same value. TRUE (See C above)
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
What is the y-intercept of the graph of the equation y =(2x−3)^2+7
Answer:
(0,16)
Step-by-step explanation:
Hi there!
The y intercept is the value in which the parabola passes through the y axis
Therefore, the value of x at the y intercept is 0
So to find the value of the y intercept, substitute x as 0 in the equation.
y=(2x-3)^2 + 7
If x=0, then:
y=(2(0)-3)^2 + 7
Multiply
y=(0-3)^2 + 7
Subtract 3 from 0
y=(-3)^2 + 7
Raise -3 to the second power
y= 9 + 7
Add 9 and 7 together
y = 16
So the y intercept is the point (0,16)
Hope this helps!
Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?
Answer:
49 cents that is the answer
Name the congruent triangles.
Answer:
ΔFOX ≅ΔBXO
Step-by-step explanation:
solve for x, find the measure of all angles.
Answer:
x = 14
angles are 96, 42, 42
Step-by-step explanation:
sum of all angles in a triangle is 180
3x + 3x + 96 = 180
6x + 96 = 180
6x = 180 - 96
6x = 84
x = 14
angles are 96, 3x, 3x
96, 3*14, 3*14
96, 42, 42
Answer:
x=14
Step-by-step explanation:
3x + 3x + 96 = 180º
6x +96º = 180º
6x = 180º - 96º
6x= 84
x = 14
Solve the absolute inequality: |4x-5| >3
Answer:
x > 2 or x < 1/2
Step-by-step explanation:
|4x - 5| > 3
Case 1 Case 2
4x - 5 > 3 - (4x - 5) > 3
4x > 5 + 3 - 4x + 5 > 3
4x > 8 -4x > - 5 + 3
x > 2 -4 x > - 2
-x > -2/4 multiply by -1 to make "x" positive and
this action with change all signs :
any negative becomes positive and
> becomes <
x < 2/4
x < 1/2
16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16
Answer:
He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation
Step-by-step explanation:
What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?
Answer:
2a=7[tex]\sqrt{2}[/tex] or 7/2
Step-by-step explanation:
hope thats right
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.
Answer:
You need more information for this question to be solved.
Step-by-step explanation:
Are any of the variables given?
Graph the function
g(x)=10×3/5
Answer:
It is a horizontal line through y-coordinate 6.
Step-by-step explanation:
Because 10*3/5=6.
10, 18, 26, 34, 42, ...
What is the 15th term of this Arithmetic Sequence
Answer:
a₁₅ = 122
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.
For your given sequence:
[tex]10, 18, 26,34,42,...[/tex]
a₁ is 10
n is 15 (15th term)
d is 8 (each term increases by 8 over the last)
Plug those 3 variables in, and solve for a₁₅:
[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]
Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.
Answer:
You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.
Step-by-step explanation:
Answer:
she got 5049$ back in profit
Step-by-step explanation:
First count how much numbers are away from 413 to 600 you get 187
Next you Multiply 187 x 27 = 5049$
You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?
Answer: $85.56
Step-by-step explanation:
$35.30 +$17.50= $52.80
$52.80+$25 = $77.80
$77.80-$6.99 = $70.81
$70.81+$14.75 = $85.56
SOMEONE PLS HELP ME!!!
Answer:
refer to the picture attached for steps
What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
(12a-9b+7)+(2a-3b-14)
Answer:
14a - 12b - 7
Step-by-step explanation:
what number is 5 times greater then 6
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
find the common denominator
7/8
3/10
7/10
2/3
Answer:
240
Step-by-step explanation:
To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.
GIVING BRAINLIEST!!!!!!!!
[tex]\red{\bold{Answer:}}[/tex]
The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.
#BrainlyFast
#CarryOnLearning
(≡^∇^≡)
Business Math I need help with fraction word problems.
Answer:
which kind?
Step-by-step explanation:
Write the equation in point slope form
Answer:
5<6 so tbh I have no idea what this is I just need point
Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16
Answer:
[tex]x<12[/tex]
Step-by-step explanation:
[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]
Option A is correct, x<12 represents the solution set of 5(x+5) <85
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5(x+5) <85
We have to find the solution set of the given inequality
Five times of x plus five less than eight five.
Apply distributive property
5x+25<85
Subtract 25 from both sides
5x<85-25
5x<60
Divide both sides by 5
x<12
Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85
To learn more on Inequality click:
https://brainly.com/question/28823603
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Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
Please find x and y... I will mark you brainliest
Answer:
x.=6 y=7
Step-by-step explanation:
glad glad I could help
Answer:
x = 6
y = 7
Step-by-step explanation:
Side AB and side DC is equal so let's put it in a equation.
2y - 8 = y - 1
Use APE or Additive Property of Equality\
2y - y = 8 - 1
y = 7
So the value of y is 7.
Now substitute it to line BC.
y + 6
7 + 6
= 13
Since line BC and line AD has equal sides, let's put it in a equation.
2x + 1 = 13
2x = 13 - 1
2x = 12
Use DPE or Division Property of Equality
2x/2 = 12/2
x = 6
Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
Find the distance between the points
a. 4
b. 5
c. 6
d. 7
Answer:
b. 5
Step-by-step explanation:
arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done
Answer:
600J
Step-by-step explanation:
work done = force x distance
= 60 x 10
= 600J
The workdone by arsene wenger in joules is 600J
What is workdone?Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)
Workdone is expressed as;
Workdone = f × d
where do is the force and d is the distance.
The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.
Therefore, the workdone by arsene wernger is
W = 60 × 10
W = 600J
learn more about workdone from
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Which of the binomials below is a factor of this trinomial?
5x2 + 14x-3
Answer:
The answer is D. x + 3
Step-by-step explanation:
The factors of 5x2 + 14x - 3 are:
(5x-1) and (x+3)
Q4
The original price of a doll is $36. It is discounted in a sale by 15%.
What is the sale price of the doll?
$
Answer:
The sale price of the doll is $30.6
Step-by-step explanation:
The original price of the doll
= $36
Discount:-
= 15% of 36
= 15%×36
= 15/100×36
= 5.4
Sale price of the doll
= original price - discount
= $(36 - 5.4)
= $30.6