Answer:
x < 3
Step-by-step explanation:
Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 1 to both sides of the equation:
4x - 1 (+1) < 11 (+1)
4x < 11 + 1
4x < 12
Next, divide 4 from both sides of the equation:
(4x)/4 < (12)/4
x < 12/4
x < 3
x < 3 is your answer.
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Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?
Answer:
[tex]3\frac{11}{12}[/tex] cups
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears
[tex]\frac{2}{3}[/tex] of grapes
[tex]\frac{1}{4}[/tex] of apples
[tex]\frac{1}{2}[/tex] of orange
when adding fractions, make sure all denominators are the same:
[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears
[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes
[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples
[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange
add all of the fractions:
[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]
convert to mixed fraction:
[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]
Look at the other guys
Helpp pleaseeeee and could u put an explanation of how you did it?
Answer: Option A
Step-by-step explanation:
To get from A to A', what is done?
A is at the point (2,6) and A' is at the point (2,-1)
The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)
Now let us take a look at options A and B which both concern the y value
The y-value of A is 6 and A' is -1
To get from 6 to -1, do you
a) subtract 7
or b) = multiply by -1
Let us test it out:
a) 6 - 7 = -1 (yes, it equals -1)
b) 6 * -1 = -6 (no, it does not equal the intended value of -1)
Thus correct choice is A, we subtract 7
Can someone help me with this?
Answer:
I think it's y= +10
not sure tho :))
Hillside middle school chorus is giving a concert in the cafeteria
Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/3 of the pumpkin pie
Step-by-step explanation:
2 pies can equal 6 pieces, 3 pieces a pie
If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each
1/3 times 6 equals 6/3, which equals 2 pies
What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.
Answer: pi/2
Step-by-step explanation:
please help me i suck at math
37000 + 37000\(0.09)
is the answer.
A rectangular dance floor has an area of 96 square feet and a length of 8 feet.
What is the width of the dance floor?
Enter your answer in the box
Answer:
12 is the width
Step-by-step explanation:
1. To solve this problem we must first set up an equation:
96a=8l ×?w
2. this is what this equation means 96(area) equals 8(length) times what(width)
3. so we must find out what we must multiply by 8 to get 96
4. to do this we will divide 96 by 8
which equals 12!
What is 1- (58%+3%) expressed in percent form
Answer:
39/100 or 39%
Step-by-step explanation:
1−(58/100+3/1000)
=39/100.
39%
i am failing. help.
Help plz for this math question!!
Answer:
[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]
Step-by-step explanation:
[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]
what are the x-intercepts of the parabola? y=-3(x+5)(x-9)
Answer:
-5 and 9
Step-by-step explanation:
Graph the equation on a graph.
You can also simplify the equation into y=mx+b form and then graph:
y=-3(x+5)(x-9)
y=(-3x-15)(x-9)
y=-3x^2+27x-15x+135
y=-3x^2+12x+135
can anyone please help and tell me what the answer to this question is?
Answer: what question?
please help asap, thanks !
Answer:
A) P = DA/V
Step-by-step explanation:
D = PV/A
DA = PV
DA/V = P
24xy-xy^3+x^2 find the degree plz
Answer:
4
Step-by-step explanation:
24xy---> 2
-xy3--->4
x2--->2
After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?
Answer:
18 years
Step-by-step explanation:
Transforming the question in form of equation:
Let x be the current age.
x + 32 = 5(x-8)
x + 32 = 5x - 40
5x - x = 40 + 32
4x = 72
x = 18
Answer: look at this! He’s 18
Step-by-step explanation:
equation = x+32=5(x-8)
X+32=5x-40
5x-x=32+40
4x=72
X=72/4
=18
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
a
spending $42 to buy 6 sandwiches
b
spending $42 to buy 7 sandwiches
c
spending $108 to buy 18 sandwiches
d
spending $40 to buy 5 sandwiches
e
spending $96 to buy 16 sandwiche
Answer:
B, C, and E
Step-by-step explanation:
A. 42/6 = 7 Not correct
B. 42/7 = 6 Correct
C. 108/18 = 6 Correct
D. 40/5 = 8 Not correct
E. 96/16 = 6 Correct
John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?
Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].
So to solve this, work backwards:
[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]
The distance between the initial and final point will be 17 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
This can be expressed as
H² = P² + B²
John drove his car due east for 8 miles.
He then turned south and drove 15 miles.
Then the distance between the initial and final point will be
H² = 8² + 15²
H² = 64 + 225
H² = 289
H = 17 miles
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
Donna is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $70.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Donna has been adding money. Write
an equation relating to W. Then use this equation to find the total amount of money in the savings account after 14 weeks.
Answer:
1430
Step-by-step explanation:
S=450+70T
S= 450 + 70(14)
S=450+980
S=1430
Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:
Answer:
Slope-Intercept: y = 10x - 82 Point Slope form: y + 2= 10(x - 8)
Step-by-step explanation:
To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.
y = 10x +b.
-2 = 10(8) + b
-2 = 80 + b
-82 = b
y = 10x - 82
Point Slope form: y + 2= 10(x - 8)
The guest at a party shared five pies equally in each person get 1/8 of a pie how many guest were at the party?
Answer: 40 people
Step-by-step explanation:
There were 5 pies in the party and each person that came got an equal share of 1/8.
The number of people who were there is therefore:
= Number of pies / Share each person got
= 5 ÷ 1/8
= 5 * 8/1
= 40 people
I need help with this
9514 1404 393
Answer:
pyramidprismprismpyramidprismStep-by-step explanation:
A triangular prism will have exactly 2 triangular sides (bases).
A triangular pyramid will have at least 3 triangular faces.
Count the triangles and classify accordingly.
Left to right, the number of triangles is ...
4, 2, 2, 4, 2
The figures with 4 triangles are pyramids; the others are triangular prisms.
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 258 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
43 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
42 rounds per hour
If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
cos 45° cos 30° + sin 45° sin 30°
Answer: hi hope this helps
Step-by-step explanation:
Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
Answer:
1.3
Step-by-step explanation:
B: (4,1)
A: (-8, 1.3)
pythagorean theorem:
a leg: .3
b leg: 13
c: 13
HELPPP
A. 9
B. 20
C. 16
D. 4
Answer:
C 16
Step-by-step explanation:
Using ratios
3:12
12/3=4
4:x
4*4=16
x=16
4:16
hope this helps:)
Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b
Answer:
a + 2b
Step-by-step explanation:
Given the expression
2(a+2b) - a-2b
Open the bracket
2a+(2)2b- a-2b
2a+4b - a-2b
Collect the like terms
2a-a+4b-2b
a + 2b
Hence the equivalent expression is a + 2b
Answer:
d
Step-by-step explanation:
simplify 4(q + 7) + 2
Answer:
The answer to this problem is 4q+30
Can someone help me solve this triangle please?