Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
Directions: Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.
Answer:
um i only 12 so uhh 29
Step-by-step explanation:
heh
Answer:
50×5=78
5÷3.00/83.00(ab)
Step-by-step explanation:
Complete the two-column proof.
A. Alternate Exterior angles theorem / Vertical angles
B. Alternate exterior angles theorem / corresponding angles theorem
C. Symmetric property / Transitive property
The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
What are Parallel lines?
Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Two lines x and y are parallel.
w is transversal of x and y.
Now, To prove ∠4 ≅ ∠5 we use;
Since, Two lines x and y are parallel.
So, We can apply all the properties of angles of triangles.
Statements Reasons
1. x || y 1. Given
2. w is transversal 2. Given
3. ∠4 ≅ ∠1 3. Vertically opposite angles.
4. ∠1 ≅ ∠5 4. By Corresponding angles theorem.
5. ∠4 ≅ ∠5 5. By Transitive property.
Thus, The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
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3. The product of two rational numbers is 15. If one of the numbers is - 10, find the other.
Answer: -1.5
because one of the numbers is - 10 => the other is 15/-10 = -1.5
Step-by-step explanation:
The Hayes family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 3 beds, 3 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answer:
3x3x1 which is 9
Step-by-step explanation:
9 furniture sets.
Hope this helps ;D
Mindy has $10.75 to buy school supplies. She spends $3.96 at one store for a package of glue sticks, but she still needs to buy 3 pens and a notebook. At the next store, she finds pens for $1.39 each. What is the most she can spend on a notebook if she buys the 3 pens
Answer:
2.62$
Step-by-step explanation:
Answer:
If she buys the pens she can use 2.62 dollars on a notebook
Step-by-step explanation:
10.75-3.96=6.43
1.39x3=4.17
6.43-4.17
2.62
Jan walks each morning for exercise. She takes a drink of water as she completes every 3/4 of a mile. She walks a total of 4 1/2 miles. How many times does she take a drink?
Answer:
Jan takes a drink 6 times.
Step-by-step explanation:
The information provided is:
Jan takes a drink of water as she completes every 3/4 of a mile. She walks a total of 9/2 miles.Compute the number of times Jan takes a drink as follows:
[tex]\text{Number of times Jan takes a drink}=\frac{\text{Number of miles walked}}{\text{Interval for a drink}}[/tex]
[tex]=\frac{9/2}{3/4}\\\\=6[/tex]
Thus, Jan takes a drink 6 times.
16
78 x 30
V3 x 18 x 39
24 x 26
17
1
1
18 V3
13 + 1
3
27
Answer:
do you just add and multiply all of them?
Step-by-step explanation:
i will give brainliest if correct answer
4w-24≤-12
4w≤12
w≤3
the answer i got is fifth first
What is the slope of the line represented by 5x + 2y = -15.
Answer:
5x + 2y = -15
2y = -15-5x
y = -5/2x-15/2
SLOPE: -5/2
Which of the following angles are supplementary to _1?
Plsss Help
On paper, draw and label point P. Draw and label point Q. Draw a line between the two points using a straight edge. What is the geometric term for the figure in the drawing?
A baby elephant that is 4 ft tall casts a
shadow that is 10 ft long. Find the length
of the shadow that a 6 ft woman casts.
Answer:
15 ft
Step-by-step explanation:
10/4
=2.5
6*2.5
=15 ft
PLS GIVE BRAINLIEST
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
What is the least common multiple of the numbers 5, 25, and 15? OA. 25 OB. 50 O C. 75 OD. 100 O E. 125
One hundred ninety-two students were surveyed about their favorite kind of TV programs. The results are shown in the table. Which kind of program did 25% of the students report as their favorite?
Answer:
Music was 25%
Step-by-step explanation:
4 number lines going from negative 2 to positive 2. A has an open circle at negative one-half, everything to the right is shaded. B has a closed circle at negative one-half, everything to the right is shaded. C has an open circle at negative one-half, everything to the left is shaded. D has a closed circle at negative one-half. Everything to the left is shaded.
Which graph represents the inequality?
y greater-than negative one-half
A
B
C
D
Answer:
ITS A PLEASE GIVE ME BRAINLIEST
Step-by-step explanation:
Answer:
its A give the other person brainliest please
Step-by-step explanation:
solve the linear equation
Y+5X-2=0...(1)
X^+y-8=0..(2)
................................................................
Answer:
thanks bruceee
Step-by-step explanation:
pls help:) i feel so guilty for asking questions
Answer:
Step-by-step explanation:
AB:
d = sqrt ( (−5−2)^2 + (−2−(−8))^2)
d = sqrt( (−7)^2 + (6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
BC:
d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
AC:
d = sqrt ( (−7−(2))^2+(3−(−8))^2 )
d = sqrt( (−9)^2 + (11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d = 14.21267
DE:
d = sqrt ( (−11−(-9))^2+(12−7)^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
EF:
d = sqrt ( (−2−(-11))^2+(1−12)^2 )
d = sqrt( (9)^2 + (-11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d =14.21267
DF:
d = sqrt ( (−2−(-9))^2+(1−7)^2 )
d = sqrt( (7)^2 + (-6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
Yes, the triangles are congruent because the lengths are the same.
What is the solution of log (2t+4) = log (14+3t)
HELP WILL GIVE BRAINLIEST!!!!!!
Lin's father spent $20 on ice cream for the family. He had to pay a 7% sales tax. What was the total cost of the ice cream? $
*Hint: be sure to include 2 decimal places to show the cents*
Answer:
6%→0.06
Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.
\textup{Sales tax}=0.06\times\$2.35
\textup{Sales tax}=\$0.141
Round to two decimal places since our total is in dollars and cents.
\textup{Sales tax}=\$0.14
Last, add this value to the pre-tax value of the item to find the total cost.
\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}
\textup{Total cost}=\$2.35+\$0.14
\textup{Total cost}=\$2.49
Step-by-step explanation:
1. The price of a ring is directly proportional to its weight. If 10grams ring worth is
$3000, what is the weight of a ring worth $9000?
30g
your welcomeeeeeeeeeeeee
Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
First, we need to use slope formula* to find the slope.
[tex]m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2[/tex]
Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.
Here is what we have so far:
[tex]m = -2[/tex]I'm going to use this point:
[tex]x = 3[/tex][tex]y = -2[/tex]Here is how to find b:
[tex]-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b[/tex]
Finally, we put all of it together and we have our equation.
[tex]y = -2x + b[/tex]
*Slope formula: m = y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
pls help me get this right..
Answer:
C)
Step-by-step explanation:
Subtract the 3x to the other side then divide by 2 which gives you -3/2 not -2/3
Question Progress
Homework Progress
.
fou
a) Write down the coordinates
of point A
4
3
21
A
b) Plot the point B (3. -2) on
the grid
1
4 3 -2 -1 0
1
2 3 4
c) Point C has the
same x-coordinate as point A
same y-coordinate as point B
2
3
Write down the coordinates
of point
Answer:
Please check the attached figure!
Step-by-step explanation:
Part a)
Point A is located at the x-coordinate x=-4 and y-coordinate y=1.
Hence, the coordinates of point A = (-4, 1)
Part b)
Point B(3, -2) has been plotted and is shown in the attached figure.
It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)
Part C)
Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.
Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.
Use quadratic formula to solve 1-6x^2-x
Answer:
(3x-1)(2x+1)
Step-by-step explanation:
1-6x^2-x=0
-6x^2-x+1=0
6x^2+x-1=0
6x^2+(3-2)x-1=0
6x^2+3x-2x-1=0
3x(2x+1)-1(2x+1)=0
(3x-1)(2x+1)=0
So the factor is (3x-1)(2x+1)
Translate the sentence into an inequality.
The sum of a number times 7 and 29 is at most 16.
Use the variable c for the unknown number.
Answer:
[tex]7c+29\leq 16[/tex]
Step-by-step explanation:
The inequality will be written as 7c + 29 ≤ 16.
What is inequality?inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given information translate the sentence into an inequality. The sum of a number times 7 and 29 is at most 16. The inequality in the mathematical form will be written as below:-
The sum of a number times 7 and 29 is at most 16.
7c + 29 ≤ 16.
Therefore, the inequality will be written as 7c + 29 ≤ 16.
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i am in doubt in this task... Thanks
Answer:
the answer is a
Step-by-step explanation:
Find the slope of the line through the 2 points given
below. Enter your answer as an integer, a simplified
fraction, or type "undefined" if there is no slope.
(-3,36) and (3,0)
Slope =
No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation: