Answer:
Simplifying
21p + 35q = 0
Solving
21p + 35q = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-35q' to each side of the equation.
21p + 35q + -35q = 0 + -35q
Combine like terms: 35q + -35q = 0
21p + 0 = 0 + -35q
21p = 0 + -35q
Remove the zero:
21p = -35q
Divide each side by '21'.
p = -1.666666667q
Simplifying
p = -1.666666667q
Maria and Evan are both jogging a mile. Maria has jogged 7/8 mile, and Evan has jogged 3/8 mile. Who has jogged a shorter distance? Solve this problem any way you choose. Explain how you decided.
Answer:
Evan jogged the shorter distance.
Step-by-step explanation:
They both are using the same denominator. So compare that on a drawing. Maria jogged almost the entire mile while Evan jogged 3/8ths of the mile.
X-9/3= -8
Solve for x
A street vendor sells popcorn in different size bags (small, medium, large, extra large, jumbo, and gigantic). For each size, there are different flavors (chili-lime, cheese, butter, and jalapeno), and for each flavor you may choose salted or unsalted popcorn. How many different bags of popcorn can the vendor make?
Answer:
56
Step-by-step explanation:
Bag sizes: 7
Flavors: 4
multiply 7×4= 28
and 28×2, because there are two kinds of popcorn, salted and unsalted
28×2= 56
I think this is the answer :l
At 2:00 p.m., Brandon said it was 10°C. Eight hours later, Brandon said the temperature dropped 18°C. What
is the temperature at 10:00 p.m.?
A -2°C
B. -8°C
C. 10°C
D. 28°C
Can someone show me how to do this? I’m not sure how to do this
Directions: The points in the table lie on a line. Find the slope of the line. Then draw its graph.
Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.
Step-by-step explanation:
y=mx+c *We want m*
m=(y2-y1)/(x2-x1)
m=(0-1)/(6-3)
m=-1/3
y=-1/3x+2 *(0,2) co-ordinate means it's the y-intercept=c*
I think the slope is -1/3 and then just plt the points on the graph manually.
Exams are approaching and Helen is allocating time to studying for exams. She plays for the very successful women's lacrosse team and must schedule her studying around lacrosse practices and play-off games. She thinks that with the appropriate preparation, she has a 70% chance of getting an A in Marketing. She also believes that this chance will decrease to 60% if the lacrosse team makes the play-offs. Are getting an A on the exam and being in the lacrosse play-offs independent events?
Answer:
No, there events are dependent, because the change of getting an A in Marketing decreases if the lacrosse team makes the playoffs.
Step-by-step explanation:
Independent events:
Two events are said to be independent if one event happening, or not, does not change the probability of the other event happening.
In this question:
The change of getting an A in Marketing decreases if the lacrosse team makes the playoffs, which implies that the events are dependent, an the answer is no.
Solve for x. Round your answer to the nearest tenth
Answer:
x = 19.19°
Step-by-step explanation:
cos x = 17/18
cos x = 0.9444
x = 19.19°
9 times (3+2)= (9 times ) +(9 times ) =
Answer:
9(3+2) = 45
9 * 9 = 81
Step-by-step explanation:
What is the volume of a sphere with a radius of 6.7 m, rounded to the nearest tenth of
a cubic meter?
Answer:
1260.3 m3
Step-by-step explanation:
V = 4/3 pi r3
4/3 × 22/7 × 6.7^3
1260.3 m3
Answer:1259.8
Step-by-step explanation:
Riku says that a and b have the same value in the equations 0.75(a−2)=5.25 and 34b−32=214. Is Riku correct?
Answer:
riku is is wrong
Step-by-step explanation:
divide each term by 0.75
a-2=5.25/0.75
a-2=7
a=9
34b= 214+32
34b=246
b=123/17
or 7.235
therefore both answers are different
Which of the following statements are true? Select all that apply.
a
S
30 13
8
A. p | q if 22 2 23.
B. p | q if 25 27.
C. r | s if Z2 = 24.
D. r | s if 25 26.
Answer:
hello
Step-by-step explanation:
I think the answer is C hope that helps you
What is the measure of angle BAC?
Answer:
∠BAC = 105°
Step-by-step explanation:
2(5x) = 9x+21
10x = 9x+21
reduce:
x = 21
∠BAC = 5x = 105°
PUZZLES Potter's Puzzles sells a wooden
pyramid puzzle. The base is a square
with side lengths of 6 inches. The slant
height is 10 inches. What is the surface
area of the puzzle?
Answer:
[tex]Area = 156in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 6in[/tex] --- Base length
[tex]H = 10in[/tex] --- Slant height
Shape: Square Pyramid
Required
Determine the surface area
This is calculated using:
[tex]Area = L^2 +2LH[/tex]
So, we have:
[tex]Area = 6^2 + 2 * 6 * 10[/tex]
[tex]Area = 36 + 120[/tex]
[tex]Area = 156in^2[/tex]
Answer:
it is 156
Step-by-step explanation:
The cost of making a chair is $28 correct to the nearest dollar. Calculate the lower and upper bounds for the cost of making 450 chairs
Answer:
$12,375
$12820.50
Step-by-step explanation:
To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49
Hence,
Lower bound = $27.50
Upper bound = $28.49
Therefore. Cost of making 450 chairs ;
27.50 * 450 = $12,375 (lower bound)
28.49 * 450 $12820.50 (upper bound)
6) A packet of 1350 chocolates were distributed among 3 sections A, B, C of class VI in the ratio 6: 5:4. Find each section's share
A)510, 460, 350
B)540, 450, 360
C)520, 440, 335
D)500, 400, 450
Answer:
its a or d
Step-by-step explanation:
a or d but ptibably a
Imagine that you traveled back in time to the Fourth of July, 1999. You are at Stanford Stadium, watching the semifinal of the Women's World Cup soccer match. Mia Hamm, star of the United States team, has just received the ball on a breakaway. She is 60 yards from Brazil's goal. Brazilian star Sissi is the closest opponent to Hamm and is 10 yards behind her. Mia takes off for Brazil's goal and, while dribbling the ball, is able to run at a speed of 6.8 yards per second. Sissi takes off at the same time as Hamm and runs at 8.4 yards per second. (She is able to run faster because she isn't dribbling the soccer ball.) Hamm has decided to shoot at the exact moment that Sissi catches up to her, because at that point it will still be difficult for Sissi to block the shot when she is side by side with Hamm. How far away from the goal will Hamm be when she shoots
Answer:
17.5 yards
Step-by-step explanation:
Speed is the ratio of distance to time. It is given by the formula:
Speed = distance / time
Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:
6.8 = d / t
t = d / 6.8
Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:
8.4 = (d + 10) / t
t = (d + 10)/ 8.4
d / 6.8 = (d + 10)/ 8.4
8.4d = 6.8d + 68
1.6d = 68
d = 42.5 yards
Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
EI Sr. López necesita una escalera para podar sus árboles de naranjas. Le dice al herrero que necesita alcanzar una altura de 3 m sin estirar los brazos. El herrero sabe que el Sr. López mide 1.70 m, y sabe que por seguridad, una persona no debe subir más arriba del penúltimo peldaño de la escalera. El herrero le vende una escalera como la que se muestra.
la escalera tiene que ser de 2.30mts
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the samples have sizes n1=16 and n2=21.
Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places.
Answer:
Don't go on that link its a virus
Step-by-step explanation:
Simplify
^3
V-27n^27
Apply the radical rule to separate terms:
Cubicroot(-27) and cubic root(n^27)
Cubicroot(-27) = -3
Now you have -3 cubicroot(n^27)
Using the exponent rule
N^27 can be rewritten as (n^9)^3
Now you have -3 cubicroot((n^9)^3)
The cubic root and the 3rd power cancel out to get the final answer of
-3n^9
Show work to triangles 2 and 3 explaining why they are right triangles
Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.
How is your day today? Anyway what is 4 + 4 x 4
im good :) what about you and its 32
It was good, and that answer is 20. 4 + 4 x 4 you multiply first which gives you 16 then add 4.
Six years ago a man's age was six times the age of his son. Four years hence, thrice his age will be equal to eight times his son's age. find their percent ages.
Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!
PLEASE HELP. THIS IS WORTH 68 POINTS. FE
Answer:
BAF and FAD
Step-by-step explanation:
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100
Can someone help me? I’ll reward points + brainalist
Answer:
The answer is B.
Answer:
b) A = π ([tex]5^{2}[/tex])
Step-by-step explanation:
area = π [tex]r^{2}[/tex]
diamter
⇒ 10
radius is half of the diameter
⇒ 10 ÷ 2 = 5
area = 3.14 × [tex]5^{2}[/tex]
Marilyn saves 30% of the money she earns each month.She earns $350 each month.How much does she save?
Answer:
$245
Step-by-step explanation:
Savings percent= $350 × 30%
=$350 × 30/100
= $105
Money saved= $350- $105
= $ 245
An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 60 meters wide. The middle of the arch is 10 meters above the center of the river. Start by writing an equation for the ellipse if the x-axis coincides with the water level and the y-axis passes through the center of the arch. How high above the river is the arch at a distance of 8 meters from the center?
The arch is ____ meters above the river at a distance of 8 meters from the center. Do not round until the end. Round to the nearest tenth of a meter.
Answer:
Step-by-step explanation:
(y/10)^2+(x/30)^2=1
y^2/100+x^2/900=1
9y^2+x^2=900
9y^2=900-x^2
y^2=(900-x^2)/9, when x=8 we have
y^2=(900-8^2)/9
y^2=(900-64)/9
y^2=836/9
y=9.6 meters
The arch is 9.6 meters above the river at a distance of 8 meters from the center.
Please help a brotha out so I can get ungrounded!
Will give Brainlyest!
Answer:
38 degrees
Step-by-step explanation:
Angle ABE is 90 degrees, and angle FBE is 52 degrees. 90-52 is 38.
What’s is 5/8 +3/10 siplfied
Answer:
37/40
Step-by-step explanation:
Answer:
5 3 50 24 74 37
- + - = - + - = - = -
8 10 80 80 80 40
Step-by-step explanation:
Hope this helped!
