(-36 ÷ -4) + 9
The expression equals 18.
4.
Clare made an error when solving – 4x + 3 < 23.
Describe the error that she made.
- 4x + 3 =23
- 4x < 20
Step-by-step explanation:
-4x + 3 < 23
-4x < 20
x > -5
hmm,I don't think we need to put equal sign instead of (<) , for when we started calculating.
we can just keep the question as it is and calculate.
The error Clare made in solving the inequality -4x + 3 < 23 is in the last step. The correct solution should be x > -5, not x < -5.
When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality symbol should be flipped. In this case, since we are dividing by -4, which is negative, the inequality should be reversed.
The correct steps to solve the inequality are as follows:
-4x + 3 < 23
Subtract 3 from both sides:
-4x < 20
Divide both sides by -4 (remembering to flip the inequality symbol):
x > -5
Therefore, the correct solution is x > -5, indicating that x is greater than -5, not less than -5 as Clare mistakenly wrote.
To learn more on Inequality click:
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Clare made an error when solving -4x + 3 < 23
-4x + 3 < 23
-4x < 20
x < - 5
Describe the error she made
I need help with the slope of this line.
quick and simpler please im practicing this for class
Answer:
a=9/100 b= 7/20
Step-by-step explanation:
For a all you do is take the 9 out of the 100 in 1.
For b, all you do is take the 35/100, and then simplify it, so in this case it is 7/10 if you divide both the numerator and denominator by 5.
So a = 9/100 and b = 7/20
the area of a circle is 144 π cm2 what is the diameter of the circle
Step-by-step explanation:
Area = pi × r²
144 pi cm² = pi × r²
144 pi ÷ pi = r 2
root 144 = r
12 cm = r
diameter = 2r = 2(12) = 24 cm
Convert 0.04 to a fraction in lowest terms. *
Answer:
1/25
Step-by-step explanation:
0.04 = 4/100 = 1/25
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
0.04 is equal to [tex]\frac{4}{100}[/tex]. You can simplify this when both the numerator (the top number of the fraction) and the denominator (the bottom number of the fraction) can be divided by the same number. In this case, both numbers can be divided by 4, which would simplify it to its lowest form: [tex]\frac{1}{25}[/tex].
Hope this helps.
-3/2(x - 5) = -12.
Answer:
x=13
Step-by-step explanation:
Last week, Ms. Davey ate 50 hot dogs in 12 minutes! At this rate, how many hot dogs could Ms. Davey eat in an hour?
Answer:
250
Step-by-step explanation:
50 hot dogs per 12 minutes
60 minutes per 1 hour
60 minutes divided by 12 minutes = 5
50*5 = 250
what is the gradient and vertical axis intercept of the linear equation y = 5x + 30
Gradient = Slope = coefficient of x
Thus ;
Gradient = Slope = 5
_________________________________
Vertical axis = y -axis
To find the y-intercept of the equation we must put zero instead of x .
Let's do it.....
[tex]y = 5x + 30[/tex]
[tex]y = 5(0) + 30[/tex]
[tex]y = 30[/tex]
So the y-intercept is 30 .
_________________________________
And we're done.....♥️♥️♥️♥️♥️
What is the value of this expression when a = 2 and b = -3?
a^3-b^3/5
Answer:
7
Step-by-step explanation:
substitute the numbers into the equation
2³-(-3)³/ 5
simplify and solve the cubed numbers
8 - (-27) / 5
35/5 = 7
what is the slope of a line with equation y-3=-1/2(x-2)
Answer:
1/2 is the slope of a line with equation y.
John is mixing paint so that he can update his apartment. He combines 7L of white paint with 3300 milliliters of blue paint. He uses 1 ½ L of paint to paint a hallway. a) What is the total combined paint? b) How much paint was left after painting? 4.
Answer:
(a) The total combined paint is 10.3L
(b) 8.8L paint was left after painting
Step-by-step explanation:
From the question, John combines 7L of white paint with 3300 milliliters of blue paint.
First, convert to the same unit, say liters, L.
Now, we will convert 3300 milliliters to liters (L)
{NOTE: 1000 milliliters (mL) = 1 liter (L)}
Since 1000 milliliters = 1 liter
∴ 3300 milliliters = 3300/1000 liters = 3.3 liters
Hence, 3300 milliliters = 3.3 L
Therefore, he combines 7L of white paint with 3.3L of blue paint.
(a) The total combined paint is 7L + 3.3L = 10.3L
∴ The total combined paint is 10.3L
(b) To determine how much paint was left after painting,
From the question, he uses 1 ½ L of paint to paint a hallway, that is, he uses 1.5 L of paint to paint a hallway;
The paint left will be 10.3L - 1.5L
10.3L - 1.5L = 8.8L
Hence, 8.8L paint was left after painting
Find the value of f(-2)
Answer:
y = 3.5
Step-by-step explanation:
If you look at the x axis, you know x = -2 so you want to know y.
Find the greatest common factor of 7 and 7.
Need Help! 50 Points
Answer:
Step-by-step explanation:
you have to solve for x i think
Answer: SOLVE FOR X !
Step-by-step explanation:
If there are exactly 2.54 centimeters in 1 inch, how many inches are in 1 centimeter
Round to two decimal places.
===============================
Work Shown:
2.54 cm = 1 inch
2.54/2.54 cm = 1/2.54 inch ...... divide both sides by 2.54
1 cm = 0.39370078740158 inches
1 cm = 0.39 inches
Which is true of the slopes of parallel lines
Answer: slopes will be the same!
Step-by-step explanation:
Answer:
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line
Step-by-step explanation:
how do you solve a system of linear equations by graphing
Answer:
It depends on the equation/coordinates
Step-by-step explanation:
When solving a linear function, you just have to have a straight line in the coordinate plane.
I need help with biconditinal statements in geometry
[tex]\huge\underline\mathcal\pink{₳₦₴₩ɆⱤ:-}[/tex]
Biconditional statements do not use the key words 'if' and 'then.' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if.'
For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis). If you figured out that both the conditional and converse statements have to be true for a biconditional statement to exist in geometry, you are correct. It's like a reversible jacket; you can wear it on both sides.
Let's rewrite our last example:
Conditional statement: If a polygon has three sides, then it is a triangle.
Converse statement: If a polygon is a triangle, then it has three sides.
Since both are statements are true, we can go ahead and make our biconditional statements:
A polygon is a triangle 'if and only if' it has three sides.
A polygon has three sides 'if and only if' it is a triangle.
Since we can write two biconditional statements, we could also define them as compound statements, since both the conditional and the converse statements have to be true. Let's practice some more.
Follow me❤Every 14 days, Debbie’s dog eats 415 pounds of dog food. If Debbie’s dog eats the same amount of food each day, how many pounds does her dog eat per day?
Answer:
i thinks its 29
Step-by-step explanation:
divide 415 by 14
Answer:
The answer is 7/1 simplified
Step-by-step explanation:
20 - 9x = x + 10x
What is X?
find the slope of this graph
Answer:
-3
Step-by-step explanation:
13) Solve (x + 6)2 = 64. A) x = 8 or x = −8 B) x = 2 or x = −2 C) x = 2 or x = −14 D) x = 4 or x = −16
Answer:
x=2 ,, -14
Step-by-step explanation:
hope this helps
Sarah bought a 55-yard bolt of ribbon. If she wants to cut
pieces that are 13-yard long, what is the maximum number of
ribbons she can cut from the bolt?
Answer:
4 ribbons
Step-by-step explanation:
55 divided by 13= 4.23
HELP! A graph has a y intercept of 5 and x intercept of -2. Determine the equation in slope-point form.
Select the correct answers.
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle K?
R
D
N
А
P
E
M
H
F
G
K
O A angles P, Q, and R
OB. angles M, E, and
OC angles G, A, and B
OD. angles D, E, and
E angles M, N, and P
Answer:it is c
Step-by-step explanation:
Answer:b
Step-by-step explanation:
PLSS HEEELLLPPP JESHJDUSUSJSJ
can you help find the slope
Answer:
a
Step-by-step explanation:
Plz answer fast I am timed
Hello.
Ken had 6.57 yards of tape, and then used 0.5 yards of the tape. Subtract 0.5 from 6.57.
6.57 - 0.5 = 6.07
He has 6.07 of the tape left.
PLEASE HELP
Given the line and a point on the line, what is the equation of the line in point-slope form?
A) y − (−1) = −3(x − 5)
B) y + (−1) = −3(x − 5)
C) y − (−1) = −3(x + 5)
D) y + (−1) = −3(x + 5)
Andy is buying a car. He negotiated a 7% on a £6500 car. He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
9514 1404 393
Answer:
£562.42
Step-by-step explanation:
Payments on a loan of P at rate r for n months can be found from ...
A = P(r/12)/(1 -(1 +r/12)^-n)
For r = .07 and n = 12, the payments on a £6500 loan will be ...
A = £6500(.07/12)/(1 -(1 +.07/12)^-12) = £562.42
Andy will pay £562.42 each month.
Answer:
562.42 pm
Step-by-step explanation: