Answer:
first one, hope this helped
Step-by-step explanation:
Christine is saving money to buy a game. So far she has saved $24, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
$36
Step-by-step explanation:
2/3 = $24
divide 24 by 2 to find 1/3
1/3 = $12
3/3 = (12 + 12 + 12 )
3/3 = 36
find the area of the triangle formed by the vertex and x-intercepts of parabola y=-x^2-3x+10
Answer:
42.875
Step-by-step explanation:
First you find the x-intercepts and the vertex of the equation.
(-5, 0), (-2, 0), (-3/2, 49/4)
You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.
Lastly, you use Heron's formula to compute the area.
The area of the triangle is required.
The area of the triangle is [tex]42.875\ \text{units}^2[/tex]
[tex]y=-x^2-3x+10[/tex]
The x intercepts are
[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]
The x intercepts are
[tex](-5,0),(2,0)[/tex]
Distance between them is
[tex]2-(-5)=7\ \text{units}[/tex]
Vertex of a parabola is given by
[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]
[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]
So,
Base = b = 7 units
Height = h = 12.25 units
Area is
[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]
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Colin buys a car for £45500. It decreases in price 6% per year. How much will it be worth in 3 years?
Answer:
The answer is 33,710 euros.
Step-by-step explanation:
Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.
PLEASE HELP ME!!! ANSWER BOTH QUESTIONS & I WILL MARK BRAINLIEST!!!
1. Ann works 3.5 hours per day 3 days per week. If Ann
earns $6.50 per hour, how much money will she earn
during a 7-week period?
a. $487.25
b. $477.75
c. $432.25
d. $144.00
e. $123.50
2. In the picture below, what is the correct graph of the equation, y = -1/2x + 3
Mrs. Jean said that 4/12 of the test items are multiple choice, 5/12 or short answer and the rest are matching. What fraction of these items are either multiple choice or short answer
Answer:
3/4
Step-by-step explanation:
THE fraction of these items are either multiple choice or short answer would be the sum of the fractions of the multiple choice and short answer
4/12 + 5 / 12 = 9/12
to simplify , divide both numerator and denominator by 3
3/4
Pythagorean theory x2 +7=23
Answer:
x=8
Step-by-step explanation:
2x+7 = 23
2x=16
x=8
Write 0.68 as a fraction in it's simplest form.
68
6 eighths
34
3 fourths
1725
17 over 25
68100
68 over 100
what is the range of the function f(x)=7-3x when the domain is -4, -2, 0, 2?
pls help asap. i’m giving 75 points
In the diagram, m_1 = (4x + 10)° and mZ2 = (x + 20°. The value of x' is:
Answer:
x=30
(Option 2)
Step-by-step explanation:
Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30
In a game, scores are written as positive or negative numbers. Tamika's score is -8, Jim's
score is 8, and Brook's score is 5. Which statement is true?
Jim and Tamika both have the same score.
Brook has the lowest score.
Jim's score is lower than Brook's score.
Brook's score is higher than Tamika's score,
How much is the
60% of 4/5
Answer:
0.48
Step-by-step explanation:
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0, -1)?
O A. y = - 1/4x - 1 / 4
O B. y= 4x-1
O C. y= 1/4x+1
O D. y= 1/4x+-1
Answer:
the answer is A
Step-by-step explanation:
what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the largest integers
Answer:
The numbers that meet these conditions are -3, -2 and -1.
This means that the wording of the question is somewhat ambiguous:
The lowest of the three numbers is -3.
The smallest however is -1.
You may need clarification on which of those is being asked for.
Step-by-step explanation:
Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:
1) The sum of the smaller two integers is two more than seven times the largest integer. In other words a + b = 7c + 2
2) We're looking for three consecutive integers, which means that we can define them with a single variable. If the smallest one is a, then the others are a + 1 and a + 2.
We can take those and put them together, giving us the equation:
a + (a + 1) = 7(a + 2) + 2
Which we can then solve for a:
a + (a + 1) = 7(a + 2) + 2
2a + 1 = 7a + 14 + 2
2a - 7a = 14 + 2 - 1
-5a = 15
a = -3
Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.
can someone please tell me how to do 2x=3y and 4x-3y=12 using substitution to solve the system of equations.
Answer:
Step-by-step explanation:
you divide the two to the y, which is x=3/2y
then, you simplify the second equation to y, which is -3y= -4x+12
then, you substitute the x=3/2y into the second equation,
-3y = -6+12
-3y = 6
y = -2
Substitute the y into the first equation, x= 3/2y,
x = -3
Rick is buying jelly beans at the candy store. He wants to buy the package that has the lowest cost per kilogram.
Which package of jelly beans should Rick buy?
A. 2 kilograms for $10.98
B. 3 kilograms for $16.19
C. 4 kilograms for $21.15
O
D. 5 kilograms for $26.85
Answer:
c
Step-by-step explanation:
How many centimeters are there in 2 yards if there are 2.54 centimeters per inch. Show your work and express your answer without rounding.
Answer:
There are 182.88 cm in 2 yards.
Step-by-step explanation:
Given that,
1 inch = 2.54 cm
We need to find how many centimeters are there in 2 yards.
We know that,
1 yard = 36 inch
⇒ 2 yards = (2×36) inches
= 72 inches
It means,
72 inches = (72 × 2.54) cm
= 182.88 cm
Hence, there are 182.88 cm in 2 yards.
HELP ASAP PLEASE! I BEG YOUUUU
Answer: the answer would be 55 but since its says to round to the nearest hundred this would be 50 because its the closest and both lines are equivalent to be the same. plz brainliest plz
Step-by-step explanation:
What is a synonym for "average rate of
change"?
Answer:
Velocity :D
Step-by-step explanation:
Answer:
velocity
Step-by-step explanation:
hope this helps! can i get brainliest?
List ALL the rules for multiplying and dividing integers
Answer:
RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive.
RULE 3: The product of two negative integers is positive.
Step-by-step explanation:
-3(x - 4) + x(2x + 3)
Step-by-step explanation:
-3(x - 4) + x(2x + 3)
= (-3x + 12) + (2x² + 3x)
= 2x² + 12
= 2(x² + 6).
Answer:
[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]
2(x^2+6) is the right answer.
24 students in a class took a math test. If 18 students passed the test, what percent passed?
Answer:
18 students is the amount that passed the test
so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.
75% of the class passed
0.75% of the class passed
Answer:
75%
Step-by-step explanation:
24 x 0.75 (75% as a decimal) = 18
Please help with this 1 question! -3-||
I need help I don’t really understand
Answer:
can you make the graph bigger please?
f(x)= x2 + 6x - 40
find f (5)
1. 15
2. 20
3. 10
4. 16
Please help me with this homework
Step-by-step explanation:
You add 4 each time:
10+4=14
14+4=18
18+4=22
22+4=26
26+4=30
hope this helps <3
Slope of (10,8) (2,1)
Answer:
slope=7/8
Step-by-step explanation:
8-1/10-2= 7/8
Find an equation for the line below.
Answer:
y=-1/2x+3.5
Step-by-step explanation:
What must m∠QPS be for PQRS to be a parallelogram?
Answer:
It’s B
Step-by-step explanation:
For the shape to be a quadrilateral, then the value of ∠QPS must be (b) 59 degrees
For quadrilateral PQRS to be an actual quadrilateral, then:
[tex]\angle RQP = \angle PSR[/tex] --- opposite angles of quadrilateral[tex]\angle QPS + \angle PSR = 180[/tex] --- adjacent angles of quadrilateral[tex]\angle RQP = \angle PSR[/tex] implies that:
[tex]6x + 13 = 7x - 5[/tex]
Collect like terms
[tex]6x - 7x = -13 - 5[/tex]
[tex]-x = -18[/tex]
Multiply both sides by -1
[tex]x = 18[/tex]
[tex]\angle QPS + \angle PSR = 180[/tex] implies that
[tex]\angle QPS + 7x - 5 = 180[/tex]
Substitute 18 for x
[tex]\angle QPS + 7(18) - 5 = 180[/tex]
Collect like terms
[tex]\angle QPS= 180 +5 - 7(18)[/tex]
[tex]\angle QPS= 59[/tex]
Hence, the measure of angle QPS must be (b) 59 degrees
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You put $500 in the bank, where it earns 1.5% simple interest each year. How long until your money will triple? Pls hurry awnser only if you know
Answer:
133.33
Step-by-step explanation:
In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.
What is simple interest?Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.
Given that,
The principal amount put in the bank p= $500
The rate of simple interest r= 1.5 %
Amount will be triple, implies that, Interest would be two times of principal.
Interest = 2 x 500 = 1000
To find the time t, when amount gets triple, use simple interest formula
Interest = (p x r x t)/100
1000 = (500 x 1.5 x t)/100
200/1.5 = t
133.33 = t
The required time in which the money will triple is 133.33 years.
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solve the system of equations. y= x + 17, y= 3x+1
Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!