Answer:
240 students
Step-by-step explanation:
Grade 7 : Grade 8 = 5 : 3
Number of seventh grade students = 5x
Number of Eighth grade students = 3x
3x = 90
x = 90÷3
x = 30
Total students = 5x + 3x = 8x = 8 * 30 = 240
Can someone explain to me Linear Equations being equivalent?
Why isn't x = -2 and x^2 = 4 equivalent? I don't understand why it is not. Additionally x = 7 and x^2 = 49 is also not equivalent and I cannot figure out why.
Thanks in advance!
Answer:
Step-by-step explanation:
x² = 4 has two solutions, x=2 and x=-2.
Complete the steps below to solve the problem using equations. Part A Let the variable g represent the measurement of angle G. Write an equation that you can use to solve fors
Answer:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.
Step-by-step explanation:
i copied the answer bc i finished and that was the answer.
Answer:
:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.Step-by-step explanation:
Simplify x + 4 - 5x - 2.
F. -5x + 2
G. -5x - 2
H. -4x + 2
I. -4x - 2
Answer:
i -4x - 2
Step-by-step explanation:
An equation showing the
proportional relationship
between x and y can be written
gy. The same relationship
can also be written y = kx.
=
What is the value of k in the
second equation? (Type the
decimal form for your answer.)
Write a expression for b plus 4
Hey there!
“Write a expression for b plus 4”
Key term(s): “b plus 4”
• b = b (which is an UNKNOWN know)
• plus let’s us know that we’re adding
• 4 let’s us know what we’re COMPARING to “b”
Equation/Answer: “b + 4” would most likely be your expression
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
12. Consider the general rational equation a/b=c/d
(a) What equation results if you multiply both sides of this equation by bd/1?
(b) What does the expression bd represent in the equation above?
Part (a)
Answer: ad = bc
-------------------------
Explanation:
In the equation a/b = c/d, we have b and d in the denominator.
If we multiply both sides by bd, then the denominators will cancel. The expression bd is the same as bd/1.
As a similar example, consider the equation
a/b = 12
if we multiply both sides by b, then we clear out the denominator to end up with a = 12b
As another example, let's consider
a/b = c
Multiplying both sides by b leads to
a = bc
The same idea applies with the denominator d as well.
When going from a/b = c/d to ad = bc, your textbook may refer to this process as "cross multiplication".
=================================================
Part (b)
Answer: bd is the product of the denominators
-------------------------
Explanation:
Often in math, writing two variables next to each other represents multiplication.
bd is the same as b*d which means "b times d". The term "product" is the result of multiplying two or more values.
b and d are both in the denominator of each fraction, so bd represents the product of the denominators.
Which equation is the standard form of -8x + 3x ^2= -19?
Answer:
y = 3x + 2
Step-by-step explanation:
is sometimes called "Standard Form", but is more properly called the "General Form".
SOLVE THIS TO PROVE YOUR GOOD AT MATHS! (click the image attached)
99.9% CAN'T! BUT CAN YOU BE THE 0.1% THAT CAN!
GOOD LUCK!
Answer:
total area of compound ABCDEF=36cm³
x(x-4)+(x-2)(2x+x)=36cm³
x²-4x+2x(x-2)+x(x-2)=36cm³
x²-4x+2x²-4x+x²-2x=36cm³
4x²-10x=36cm²
4x²-10x-36=0
2(2x²-5x-18)=0
2x²-5x-18=0÷3
2x²-5x-18=0proved.
2x²-(9-4)x-18=0
2x²-9x+4x-18=0
x(2x-9)+2(2x-9)=0
(2x-9)(x+2)=0
either
x=-2(negleted)
or
x=9÷2=4.5cm
Can you help me? Please I need it!
Answer:
A = 44.5 square feet
Step-by-step explanation:
you can separate the 5' x 5' square on top from the trapezoid on the bottom
A(square) = s² = 5² = 25
A(trapezoid) = 1/2h·(sum of 2 bases)
= 1/2 (6) (5 + 8)
= 3(13)
= 39/2 = 19.5
Area of total shape = 25 + 19.5 = 44.5
A study was done on girls' participation in informal science, technology, engineering, and mathematics (STEM) programs. The researchers questioned 290 young women who recently participated in a STEM academic program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 290 participants, 169 were in urban areas, 101 in suburban areas, and 20 in rural areas. Use this information to construct a pie chart. Interpret the results.
Answer:
Urban area = 58.27%
Suburban area = 34.83%
Rural area = 6.9%
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Total number of women = 290
Number of women in urban area = 169
Suburban area women = 101
Rural are women = 20
So, we can calculate the percentage of number of women from each area by using following formula,
Percentage = Women in specific area ÷ total women
So, percentage of Urban area = 169 ÷ 290 = 0.5827 or 58.27%
percentage of suburban area = 101 ÷ 290 = 0.3483 or 34.83%
percentage of rural area = 20 ÷ 290 = 0.0690 or 6.9%
Pie chart for the given information is attached below.
A plane can fly 520 miles in the same time as it takes a car to go 120 miles. If the car travels 100 mph slower than the plane , find the speed of the plane .
Answer:
420 miles
Step-by-step explanation:
i think
420
Step-by-step explanation:
because the car is 100mph below the plane
A rectangle has a length of 28 feet less than 6 times its width. if the area of the rectangle is 98 square feet, find the length of the rectangle.
Answer:
w = 18 is the solution
The equation for this problem is 6w - 28 + w = 98
w stands for width
Step-by-step explanation:
7x - 28 = 98 Collect like terms
7w = 98 +28 Move the constant to the right hand side and change its sign
7w = 126 Add the numbers
w = 18 Divide both sides of the equation by 7
asap pls I desperately need it
Answer: At [3 pi / 2 ] K, where K = a random constant Sin Theta = -1
Step-by-step explanation:
Ethan buys a video game on sale. If the video game usually cost 39.99, and it was on sale for 20% off, how much did Ethan pay?
Answer:
He pays 31.99
He saved $8
Step-by-step explanation:
Find the original price (39.99)
Get the the discount (20%)
Calculate the savings: 20% of $39.99 = $8 (rounded)
Subtract the savings from the original price to get the sale price: $39.99 - $8 = $31.99
Answer:
He pays: 31.99
Step-by-step explanation:
Original price: 39.99
Discout: 20%
Savings: 20% of 39.99= 7.998
7.998 rounded: 8$
Savings minus OG price: 39.99-8
= 31.99
Jeff bought a bottle of water for $2.He also bought some hot dogs for $3 each.Jeff did not spend more then $14.Write An inequality to show h,the ni number of hot dogs Jeff can buy
Answer:
he bought 4 hot dogs
Step-by-step explanation:
14-2=12
12÷3=4
Answer=4
Gabrielle’s age is two times mikhail’s age. The sum of their ages is 60.what is makhail age?
Answer:
20
Step-by-step explanation:
if their ages total is 60 and gabrielle's is two times mikhail's age, that means that Mikhail would be twenty because their age times 2 would be 40 and 40 plus 20 is 60.
Answer:
A) g = 2m OR g -2m = 0
B) g + m = 60
Multiplying A) by -1
A) -g + 2m = 0 then adding this to B)
B) g + m = 60
3m = 60
Mikhail’s age = 20
Gabrielle's age = 40
Step-by-step explanation:
Find m21.
57
93
132
123
Answer:
123°Step-by-step explanation:
Angle 1 is the exterior angle of the pictured triangle.
As we know the exterior angle is equal to sum of non-adjacent interior angles:
m∠ 1 = 60° + 63°m∠ 1 = 123°whoever helps gets brainliest first
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
this is the answer
pls give me brainliest
How many mL are there in 3,700 microliters?
Answer:
3.7 mL
Step-by-step explanation:
Evaluate the expression for the given variable value.
p+ 4/15;p=4/5
Answer:
16/15 or 1 1/15
Step-by-step explanation:
Subsitute p for 4/5
4/5+4/15
make common denominators
12/15+4/15
=16/15
London made a paperclip sculpture that weighed about 78 grams. How many kilograms does his
sculpture weigh
Answer:
0.078 kg
Step-by-step explanation:
The conversion from grams to kilograms involves a division by a factor of 1000 as shown below:
78 / 1000 = 0.078
Therefore the sculpture weights 0.078 kg
Is it impossible to check that 4(n + 2) = 4n + 8 for every value of n? How do you know that this equation is true for any value of n?
NEED HELP FOR TEST
Answer:
Okay I'll try to answer this from what you're trying to ask:) and good luck on your test!
Step-by-step explanation:
So to check that 4(n-2) is equal to 4n+8, you would do the distributive property. Now the distributive property is when you take the number outside of the parentheses (in this case 4) and multipy it by what is inside the parentheses (n and 2). With that, you'll get 4 times n which is 4n and 4 times 2 which is 8, combine them and voila! MAKE SURE YOU LOOK AT THE SIGN INSIDE OF THE PARENTHESES
4(n+2)
=4*n + 2*4
=4n+8
Here's another example
3(n-5)
=3*n - 3*5
=3n-15
Hope that helps:)
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
Which is the equation of a line in point-slope form given the following two points (6,15) and(11,27.5)
Answer:
y = 2.5x + 0
Step-by-step explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
If you deposited $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
A
$75
B
$425
C
$575
D
$8,000
Answer:
I believe its C, have a good day!
Step-by-step explanation:
A = $575.00
I = A - P = $75.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 500(1 + (0.03 × 5)) = 575
A = $575.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 3% per year for 5 years is $575.00.
How much fabric is needed to
create the sail below?
14ft by 9ft
Please help me with the math problem. Part 1
Answer:
Step-by-step explanation:
r:=interest rate =7%
p = unknown
Principle + interest = 4280
t = 1 year
Formula
Total = p*r*t + p
4280 = p*(1 + r*t)
4280 = p*(1 + 7/100 * 1)
4280 = p (1.07)
4280 / 1.07 = p
P = 4000
===================
What this means is that if you loan out 4000 dollars for a year at 7%, you will get 280 dollars in return (plus of course your 4000). However in this day and age, try getting 7%.
The 100 dollar problem is the same thing. This time you have P and you want the total.
Total = p(1 + r*t)
Total = 100 (1 + 7/100 * 1
Total = 100 ( 1 + 0.07)
Total = 107
So the principle is given and the value of the investment after 1 year is 107 dollars.
Select the correct answer.
Trang has a job planting shrubs beside the highway. He needs to plant 500 shrubs in a week. So far, he has planted this many:
Monday 84 Tuesday 92
Wednesday 87 Thursday 104
How many shrubs does Trang need to plant on Friday?
OA. 133
ОВ.
367
OC 33
OD.
No more shrubs are needed.
Reset
Next
Answer:
133
Step-by-step explanation:
84+92+87+104=367
500-367=133
tooth is an example of early dental care commonly found in human skull
Answer:
True.
Step-by-step explanation:
